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To the outside world, a "supercomputer" appears to be a single system. In fact, it's a cluster of computers that share a local area network and have the ability to work together on a single problem as a team. Many businesses used to consider supercomputing beyond the reach of their budgets, but new Linux applications have made high-performance clusters... more... Beyond Geometry describes how set-theoretic topology developed and why it now occupies a central place in mathematics. Describing axiomatic method as well as providing a definition of what a geometric property is, this new resource examines how early analysts incorporated geometric thinking into their development of the calculus. It also looks at the... more... Mathematical Applications and Modelling is the second in the series of the yearbooks of the Association of Mathematics Educators in Singapore. The book is unique as it addresses a focused theme on mathematics education. The objective is to illustrate the diversity within the theme and present research that translates into classroom pedagogies.The book,... more... This book is an introduction to the subject of mean curvature flow of hypersurfaces with special emphasis on the analysis of singularities. This flow occurs in the description of the evolution of numerous physical models where the energy is given by the area of the interfaces. These notes provide a detailed discussion of the classical parametric approach... more... Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the twenties offered an expression of the geometric intuition of a 'realistic' place (spot, grain) of non-trivial extent. Imitating the behaviour of open sets and their relations led... more...
Welcome to the Mathematics for Teachers: An Interactive Approach for Grade K-8, 4th edition community website, your one-stop site for updated information about the new edition, author, and its accompanying supplements. Mathematics for Teachers: An Interactive Approach for Grades K-8 actively involves students in developing and explaining mathematical concepts and how the topics relate to NCTM Standards and Curriculum focal points. The text includes coverage of reasoning, sets, arithmetic, geometry, measurement, algebra, statistics, and probability. The carefully organized, interactive lesson format promotes student involvement and gradually leads the student to a deeper understanding of mathematical ideas. Intended for education majors, this Mathematics education course is taught out of the math department, and occasionally out of the education department in 4-year schools. Feel free to browse this site for more detailed information and contact your local Brooks/Cole representative with any questions or comments.
About this product Book Information Get the skills you need to solve problems and equations and be ready for algebra class. Look inside and discover topics such as: Want more? Let "Basic Math & Pre-Algebra Workbook For Dummies" help you out even further. You'll find 280+ pages with hundreds of practice problems featuring ample workspace to work out the problems. Each problem includes a step-by-step answer set to identify where you went wrong (or right). This helpful workbook will get you up to speed with basic math and pre-algebra before you know it Customer Product Reviews Rated 5 out of 5★ by kcutts A Lifesaver!!! I went to take my placement test for college and all of the math was greek to me!! I had not been in school for over 10 years and had forgotten everything! These books saved me!! Simple instructions and the workbook gives you the chance to put what you've studied to use!! 100% recommend!! 05/18/2011 Rated 5 out of 5★ by Rosie1969 This was a great book need to brush up on math and it took you through all of it. 09/28/2011 Rated 5 out of 5★ by Brother6String Great for people with Math phobia I have been having problems with math and pre-algebra for a long. Multiplication at the most have been hard for me. But thanks to this book (combined with touch math techniques and flash cards, things I learned in school) I feel more confident in concurring math. The Work Book seems to have a better step by step of how to solve a math problem than the lesson book itself. But still, knowledge is power (so use both books). I recommend this to anyone who has the same if not more math problems to face than I. The Good news is I'm getting better at multiplication without the use of a calculator! And this is coming from a guy who failed Pre-algebra twice in community college (made it by the skin of my teeth in high school, THANK YOU GOD ALMIGHTY FOR LETTING ME PASS THAT ONE).So in short, buy the book this is the one website that I know of that sells it for cheap.Enjoy
Summary: Featuring updated content, vivid applications, and integrated coverage of graphing utilities, the ninth edition of this hands-on trigonometry text guides readers step by step, from the right triangle to the unit-circle definitions of the trigonometric functions. Examples with matched problems illustrate almost every concept and encourage readers to be actively involved in the learning process. Key pedagogical elements, such as annotated examples, think boxes, cautio...show moren warnings, and reviews,390476
1. To enhance the student's understanding of functions, and to interpret functions numerically, graphically, and algebraically. 2. To expose students to different functional models, including linear, exponential, logarithmic, polynomial, and trigonometric models. 3. To give students the necessary background in algebra and trigonometry for the calculus sequence.
The perfect book for mastering all the essentials of college algebra, with coverage of: the coordinate plane, circles, lines and intercepts, parabolas, nonlinear equations, functions, graphs of functions, exponents and logarithms, and more You'll be able to learn more in less time, evaluate your areas of strength and weakness and reinforce your knowledge and confidence. About the author Rhonda Huettenmueller (Sanger, TX) has taught mathematics at the college level for over 14 years. Popular with students for her ability to make higher math understandable and even enjoyable, she incorporates many of her teaching techniques in this book. She received her Ph.D. in mathematics from the University of North Texas.
Based on the authors more than 50 years of experience teaching, this book makes a very serious and committed attempt to initiate the students to the aspects of Real Analysis in a friendly way. The author offers insights into the way a typical mathematician works observing patterns, conducting experiments by means of looking at or creating examples,... more... This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and exhaustively both the statement and proof of all the standard inequalities of analysis. The authors were well known for their powers of exposition and were able here to make the subject... more... Whether you're a science major, an engineer, or a business graduate, calculus can be one of the most intimidating subjects around. Fortunately, Calculus for the Utterly Confused is your formula for success. Written by two experienced teachers who have taken the complexity out of calculus for thousands of students, this book breaks down tough concepts... more... The theory of nonlinear hyperbolic equations in several space dimensions has obtained many achievements thanks to ideas and techniques related to the structure and fine properties of functions of bounded variation. This work gives an overview of the status and perspectives of two areas of research in PDEs, related to hyperbolic conservation laws. more... With Bob Miller at your side, you never have to be clueless about math again!. Algebra and calculus are tough on high school students like you. Professor Bob Miller, with more than 30 years' teaching experience, is a master at making the complex simple, and his now-classic series of Clueless study aids has helped tens of thousands understand the... more...
A Step by Step Approach This text is aimed at students who do not have a mathematical background. It therefore uses a non-theoretical approach, and concepts are explained ...Show synopsisThis text is aimed at students who do not have a mathematical background. It therefore uses a non-theoretical approach, and concepts are explained intuitively, without the use of formal proofs; they are instead supported by example. The statistical applications are drawn from various disciplines, including natural, social and computer science and business. There are margin articles with interesting trivia related to statisticsVery good in very good dust jacket. Audience: College/higher...Very good in very good dust jacket. Audience: College/higher education; Professional and scholarly. Elementary Statisics, A Step by Step Approach. Bluman, 2012. 8th Edition. Hard cover, Annotated Instructor's Edition. Includes CD and removable table/formula chart for handy access. Great condition. Description:Fair. Tape on back cover, cd-rom opened, cover scratched,...Fair. Tape on back cover, cd-rom opened, cover scratched, formulas chart included Marks on page edges, cd-rom opened, fold-out chart, cover...Fair. Marks on page edges, cd-rom opened, fold-out chart, cover scratched Elementary Statistics: A Step by Step Approach Easy to follow book. Very well prepared for an individual not knowledgeable in using Excel for statistics. I love the step by step Procedure Tables that show the process and the numerous examples
Product Details: Numerical analysis is an increasingly important link between pure mathematics and its application in science and technology. This textbook provides an introduction to the justification and development of constructive methods that provide sufficiently accurate approximations to the solution of numerical problems, and the analysis of the influence that errors in data, finite-precision calculations, and approximation formulas have on results, problem formulation and the choice of method. It also serves as an introduction to scientific programming in MATLAB, including many simple and difficult, theoretical and computational exercises. A unique feature of this book is the consequent development of interval analysis as a tool for rigorous computation and computer assisted proofs, along with the traditional material. Description: A self contained introduction to probability, exchangeability and Bayes rule provides a theoretical understanding of the applied material. Numerous examples with R code that can be run "as is" allow the reader to perform the data analyses themselves. The ...
Developmental Mathematics: Basic Mathematics and Algebra 9780321599209 ISBN: 0321599209 Edition: 2 Publisher: Addison Wesley Summary: Lial, Margaret L. is the author of Developmental Mathematics: Basic Mathematics and Algebra, published under ISBN 9780321599209 and 0321599209. One hundred forty seven Developmental Mathematics: Basic Mathematics and Algebra textbooks are available for sale on ValoreBooks.com, seventeen used from the cheapest price of $73.58, or buy new starting at $210the primary subject of this book is math. Its basic math, such as addition, subtraction, multiplication and division but not only that. It contains many more mathematical equations that are useful and good to go over and study. It was effective in my math class I was taking because it helped me not only review what I already knew but also to go over fractions which I really do not like.
Year 8 Maths Coursebook About this title: A student-friendly approach to KS3 This coursebook covers topics appropriate for KS3 Year 8 Maths and accurately reflects the language and content of the new Programme of Study. Along with the year 7 and 9 coursebooks full coverage of the KS3 programme of study is provided. Clear and concise overviews, examples and 'Key Words' boxes help underpin understanding of the key topics Tasks and exercises challenge and stimulate pupils at all levels and help develop skills * Pages of practice questions for every topic reinforce
Combined Answer Book For Calculus Third and Fourth Editions This is an Answer Book for the fourth edition of Calculus by Michael Spivak. An Appendix correlates the problems in the third edition of Calculus with those in the fourth, so that it may also be used an Answer Book for the third edition, now that that third edition Answer Book is out of print. A Safe Place for Caleb is a comprehensive and richly illustrated resource for individuals of all ages who are dealing with attachment problems. Parents, professionals, and lay people will find this ... Classroom Observation Tasks shows how to use observation to learn about language teaching. It does this by providing a range of tasks which guide the user through the process of observing, analysing ...
Precalculus II Precalculus II continues the in-depth study of functions addressed in Precalculus I by adding the trigonometric functions to your function toolkit. In this course, you will cover families of trigonometric functions, as well as their inverses, properties, graphs, and applications. Additionally, you will study trigonometric equations and identities, the laws of sines and cosines, polar coordinates and graphs, parametric equations and elementary vector operations. You might be curious how the study of trigonometry, or "trig," as it is more often referred to, came about and why it is important to your studies still. Trigonometry, from the Greek for "triangle measure," studies the relationships between the angles of a triangle and its sides and defines the trigonometric functions used to describe those relationships. Trigonometric functions are particularly useful when describing cyclical phenomena and have applications in numerous fields, including astronomy, navigation, music theory, physics, chemistry, and – perhaps most importantly, to the mathematics student – calculus. In this course, you will begin by establishing the definitions of the basic trig functions and exploring their properties and then proceed to use the basic definitions of the functions to study the properties of their graphs, including domain and range, and to define the inverses of these functions and establish the properties of these. Through the language of transformation, you will explore the ideas of period and amplitude and learn how these graphical differences relate to algebraic changes in the function formulas. You will also learn to solve equations, prove identities using the trig functions, and study several applications of these functions. Imagine standing some distance from a building and trying to guess at its height. With some simple measurements and the tools you learn in this unit, you will be able to find the height of the building precisely. This is one of the many application problems you will be able to solve after your study of trigonometry. In this unit, you will explore the properties of circles and use those properties to investigate angles within the circle. In particular, you will begin with a new definition of angle measure related to arc length in a circle. A review of the equation for a circle with radius r leads to a definition of the sine and cosine functions, and you will use these to define the remaining trigonometric functions and explore their basic properties and identities. These definitions will be used to derive similar definitions for right triangle trigonometry, which is precisely the tool needed to solve problems like the one mentioned above. Note: This topic is covered in the reading under subunit 1.1. To learn about the Pythagorean Theorem focus on the material on page 297. 1.1.2 The Distance Formula Note: This topic is covered in the reading under subunit 1.1. To learn about the Distance Formula, focus on the material on pages 297 and 298. Pay particular attention to the examples in the text, and work the "Try It Now" problems; solutions are available at the end of each section of reading. Instructions: Watch this video for a comprehensive overview of the distance formula. Watching this video should take approximately 10 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 1.1.3 Equation of a Circle Note: This topic is covered by the reading under subunit 1.1. Focus on the material on pages 298 and 299 to learn about the equation of a circle. Pay particular attention to the examples in the text, and work the "Try It Now" problems; solutions are available at the end of each section of reading. Instructions: Watch this video for a better understanding of writing the equation of a circle. Watching this video should take approximately 3 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 1.1.4 Points on a Circle Note: Points on a circle is one of the topics included in the reading listed under subunit 1.1. Pay particular attention to pages 300 and 301 and to the examples in the text. Work through the "Try It Now" problems; solutions are available at the end of each section of reading. Instructions: Once you have completed the readings and viewed the material for all of subunit 1 307-317 of Chapter 5 to learn about angles in trigonometry. Pay particular attention to the new form of angle measure, the radian. A complete grasp of this concept will serve you well through the remainder of the course. Also note that this reading covers the material in subunits 1.2.1 through 1.2.5. Note: This topic is covered by the reading listed under subunit 1.2. Focus on page 307 to master measuring angles. 1.2.2 Working with Angles in Degrees Note: This topic is covered by the reading listed under subunit 1.2. Read pages 308 and 309, and be sure to work through the examples for finding coterminal angles before you move on. Pay particular attention to the examples in the text, and work the "Try It Now" problems; solutions are available at the end of each section of reading. Instructions: This video provides further examples of finding coterminal angles. Watch it and re-work problems from the reading that you found difficult. Watching this video should take approximately 6 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 1.2.3 Angles in Radians Note: This topic is covered by the reading listed under subunit 1.2. Pages 309-313 focus on angles in radians. A thorough understanding of the definition of a radian as well as the conversion between radians and degrees is important to your success in this course. Pay particular attention to the examples in the text, and work the "Try It Now" problems; solutions are available at the end of each section of reading. Instructions: This video reviews the concept of radian/degree conversion and revisits the earlier topic of coterminal angles. Watch the video and re-work any problems in the chapter that you had difficulty with. Watching this video should take approximately 5 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 1.2.4 Arclength and Area of a Sector Note: This section is covered in the reading under subunit 1.2. Read the material on pages 298 and 299 to learn about arclength and area of a sector, and work through the exercises. Complete the "Try It Now" exercises; solutions are available at the end of each section of reading. Instructions: This video provides further instruction for computing the area of a sector. Watch the video and re-work any problems you had difficulty with in the readings. Watching this video should take approximately 3 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 1.2.5 Linear and Angular Velocity Note: Linear and angular velocity is covered in the reading for subunit 1.2. Pay careful attention to pages 315-317, and be sure to work through all the examples. Make sure you attempt the "Try It Now" problems; solutions for these are found at the end of the section of reading. Instructions: Changes in the technology for reproducing music provide an interesting context for studying circular speeds. Complete the worksheet by reading the text and answering all 6 questions to study the differences between linear and angular velocities for CD's and records. Instructions: Once you have completed the readings and viewed the material for all of subunit 1 321-330 of Chapter 5 to learn points on circles using sine and cosine. The unit circle is one of the key concepts in trigonometry, and a complete understanding how the coordinates from the equation of the circle are used to create the trig functions is fundamental to understanding the derivations of the graphs of the functions and all the useful identities we will study in later sections. Committing the unit circle to memory is a useful skill. This reading covers the material in subunits 1.3.1 through 1.3.4. Note: This section is covered by the reading listed under subunit 1.3. Pay attention to the readings on pages 321-323 and in particular the relationship between the terminal points of an angle on the unit circle and its sine and cosine. Instructions: This video is optional for the student, but may provide particular insight into some of the assigned problems for subunit 1.3. Watching this video should take approximately 2 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 1.3.2 Pythagorean Identity Note: Note that this topic is covered by the reading listed under subunit 1.3. Pay attention to the information on page 323 to understand how the Pythagorean Identity follows naturally from the equation of the unit circle. As always, work through examples and "Try It Now" problems; solutions to the Try It Now problems are available at the end of the reading section. 1.3.3 Unit Circle Values Note: Note that this topic is covered by the reading listed under subunit 1.3. There are several important values for the sine and cosine functions on the unit circle. Read pages 324-327 and begin to commit these values to memory. Be sure to work the "Try It Now" problems and go over the example problems. Solutions to the Try It Now problems appear at the end of the reading selection. Instructions: Watch this video to clarify your understanding of the unit circle, and rework the exercises or "Try It Now" problems you had difficulty with. Watching this video should take approximately 7 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 1.3.4 Reference Angles Note: This section gives a discussion on using reference angles to determine the sine or cosine of an angle of any measure. It is covered by the reading listed under subunit 1.3; pay attention to pages 327-330, working through the examples and completing the "Try It Now" problems. Solutions to these problems appear at the end of the reading section. Instructions: Read pages 333-338 of Chapter 5 to learn about the other trigonometric functions and some important identities, establishing some relationships between all six of the trigonometric functions. This reading covers the material in subunits 1.4.1 through 1.4.3. Note: The reading for this topic is contained in the reading for subunit 1.4. Pay attention to page 333 to develop an understanding of the four additional trig functions as ratios of the sine and cosine. As always, work through the examples on your own and complete the 'Try It Now" problems, and check your solutions at the end of the selected reading. Instructions: Watch this video to learn how to accurately compute values of the trig functions using a calculator. There are numerous pitfalls in these calculations; the video can help you avoid them. Watching this video should take approximately 6 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 1.4.2 Some Important Trig Identities Note: This topic is covered by the reading under subunit 1.4. Focus on the information on pages 333-337 for some additional important trig functions. Be sure to work through the example problems yourself and attempt the "Try It Now" problems. Instructions: Watch this video to get further insight into using the trig identities you have learned thus far to simplify trigonometric expressions. Watching this video should take approximately 3 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 1.4.3 Alternate Forms of the Pythagorean Identity Note: There are several forms of the Pythagorean Identity that use the new reciprocal trig functions. The reading listed under subunit 1.4 covers these on pages 337 and 338. Pay attention to the examples in the text and work through the "Try It Now" problems. Solutions to these problemsNote: This topic is covered in the reading listed under subunit 1.5. Focus on the content of pages 343 and 344, paying particular attention to the worked examples, and completing any "Try It Now" problems in the text. The solutions to these problems are located at the end of the selected reading. Instructions: Watch this video to review right triangle trigonometry. Rework any examples or problems you previously had difficulty with. Watching this video should take approximately 4 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 1.5.2 The Cofunction Identities Note: This topic is covered by the reading under subunit 1.5. Focus on page 345 to learn about the cofunction identities, and be sure to work through the practice problems. 1.5.3 Right Triangle Trig Applications Note: This topic is covered by the reading under subunit 1.5. Focus on pages 345-347. Work through the examples and "Try It Now" problems to get a working knowledge of the applications of right triangle trigonometry. The solutions to these will provide a review for your unit assessment. Instructions: Complete this assessment when you have completed all of the material in Unit 1. You should complete the assessment without the use of a calculator. Unit 2: Periodic Functions Populations that oscillate over seasons or years, temperatures that oscillate over days or hours, and tidal depths are all natural phenomena that can be determined using trigonometric functions. Understanding the graphs of the trigonometric functions and how slight changes in the function formulas affect their graphs gives a more precise way of modeling such phenomena, gathering data, and allowing for predictions to be made. This unit continues the study of the trigonometric functions with an in-depth study of their graphical properties and transformations and how they relate to the function formulas. You will also study the appropriate domain restrictions necessary to create the inverse trig functions and explore their properties. You will use the identities established in the previous unit, as well as some new identities, and the inverse trig functions to simplify trigonometric expressions and solve trig equations. You will also begin to use the trig functions to model natural phenomena like those discussed above. Instructions: The graphs of the sinusoidal functions have some important features that help us construct them, and make them useful for modeling. Read pages 353-365 to gain an understanding of the properties of these graphs. This reading also covers the topics outlined in subunits 2.1.1 through 2.1.5. Note: Periodic Functions are covered in the reading listed under subunit 2.1; pay attention in particular to pages 353-355, and be sure to work through any examples or "Try It Now" problems. Solutions to these problems are located at the end of the selected reading. Note: This topic is covered by the reading under subunit 2.1. Focus on page 355 of the reading to see how the graphs of sine and cosine are derived from the unit circle and what their domain and ranges are. 2.1.3 Period of Sine and Cosine Note: Periodicity is an important property of the tr. Read pages 355 and 356 of the reading listed under subunit 2.1 to begin to develop this concept. 2.1.4 Negative Angle Identities Note: Read pages 356 and 357 of the reading listed under subunit 2.1 to see how the symmetry of the graphs of the trig functions yields a new group of identities. 2.1.5 Transforming Sine and Cosine Functions Note: Understanding the relationship between algebraic changes in the formulas for the trig functions and the resulting changes in their graphs will yield a deeper understanding of how to apply the functions to real world applications. Pages 357 and 358 of the reading listed under subunit 2.1 begin to delve into this topic. Instructions: Watch this video to deepen your understanding of the relationship between changes in algebraic formulas and the graphs of the trig functions. Watching this video should take approximately 10 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 2.1.5.1 Midline Notes: Read pages 358-360 of the reading listed under subunit 2.1 and work through the relevant examples and "Try It Now" problems to gain an understanding of midline shifts in the trig functions. Solutions to these problems are found at the end of the selected reading. Instructions: Watch the video to get a better understanding of midline shifts and re-work any examples that gave you trouble. Watching this video should take approximately 5 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 2.1.5.2 Transformations of Sine and Cosine Note: This topic is covered by the reading beneath subunit 2.1. In particular, pages 361-363 deal specifically with transformations of sine and cosine. Read these pages and work through the examples and 'Try It Now" problems.Solutions to these problems are available at the end of the selected reading. Instructions: Watch this video to understand how to derive the equation of a trig function from the transformations of its graph. Watching this video should take approximately 6 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 2.1.5.3 Horizontal Shifts of Sine and Cosine Note: This topic is covered by the reading under subunit 2.1. In particular, please read pages 363-365 to learn about horizontal shifts of sine and cosine. Work through the examples and "Try It Now" problems. Solutions to these problems are available at the end of the selected reading. Instructions: Once you have completed the readings and viewed the material for all of subunit 2 Much like the sinusoidal functions, the remaining trig function graphs have some key features that are important to understand. Read pages 369- 374 to understand these. This reading selection covers the topics outlined in subunits 2.2.1 through 2.2.4. Note: To understand the graph of the tangent function, focus on pages 369-372 of the reading listed under subunit 2.2, working through the examples and "Try It Now" problems.Solutions to the Try It Now problems are available at the end of the selected reading. 2.2.2 The Graphs of the Secant, and Cosecant Functions Note: To understand the graph of the secant and cosecant functions, focus on pages 372 and 373 of the reading listed under subunit 2.2, working through the examples and "Try It Now" problems. Solutions to the Try It Now problems are available at the end of the selected reading. 2.2.3 The Graphs of the Cotangent Function Note: To understand the graph of the cotangent function, focus on pages 373 and 374 of the reading listed under subunit 2.2, working through the examples and "Try It Now" problems. Solutions to the Try It Now problems are available at the end of the selected reading. 2.2.4 Negative Angle Identities Note: As for sine and cosine, we can use symmetry to establish a set of negative angel identities for the remaining trig functions. Focus on page 374 of the reading listed under subunit 2.2 to see these, working through the examples and "Try It Now" problems.Solutions to the Try It Now problems are available at the end of the selected reading. Instructions: Once you have completed the readings and viewed the material for all of subunit 2 The functions give us some powerful tools for equation solving. Read pages 379–384 to begin to understand them, their graphs, and their relationship to the trig functions. This reading covers the topics outlined in subunits 2.3.1 through 2.3.3. Note: The inverse trig functions give us a set of tools for solving trig equations. Focus on pages 379 and 380 of the reading listed under subunit 2.3 to begin to understand these new functions. Be sure to work through the examples and attempt the "Try It Now" problems. Solutions to the Try It Now problems are available at the end of the selected reading. Instructions: Use this resource to develop an understanding of the graphs of the inverse trig functions. Be sure to reflect on how they are both similar to and different from the original trig functions. Watching this video should take approximately 15 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 2.3.2 Evaluating Inverses with the Unit Circle or a Calculator Note: Work through Example 1 through Example 6 on pages 380-383 of the reading listed under subunit 2.3 to begin evaluating inverse functions for specific values. Note: This topic is covered by the reading below subunit 2.3. In particular, please focus on page 384 for a discussion of using the inverse trig function to simplify expressions and solve equations. Be sure to work the examples, as always. Instructions: Once you have completed the readings and viewed the material for all of subunit 2.3, complete this assessment. You will need to create a free account in order to access the material. If you have already created an account, log in to access the assessment. Your answers will be scored upon submission. Instructions: Now that you have an understanding of the inverse trig functions and the domains and ranges of both the trig and inverse trig functions, you can begin solving more complicated equations. Read pages 387-394 to understand how. This reading covers the topics outlined in subunits 2.4.1 and 2.4.2. Note: This topic is covered in the reading below subunit 2.4. Focus on pages 387-389 for a discussion of using known values to solve trig equations. Be sure to work through the examples on your own and work and check the "Try It Now" problems. Instructions: Watch the video to review what you learned in the readings and use this to re-work any problems that you had difficulty with. Watching this video should take approximately 6 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 2.4.1.2 Solving Using the Inverse Trig Functions Note: The inverse trig functions give us new tools for equation solving. Read pages 390–393 of the reading under subunit 2.4 to see how this works. Also, complete the examples and the "Try It Now" problems.Solutions to the Try It Now problems appear at the end of the selected reading. Instructions: These optional resources may be useful for solving some of the problems in the assignment at the end of this section. Watching these videos should take approximately 10 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 2.4.2 Finding Solutions in One Cycle or Period vs. Finding All Possible Solutions Note: Because trig functions are periodic, equations involving them often have multiple solutions. Learn how to find the required ones by reading page 394 of Chapter 6, listed under subunit 2.4. Work through any examples or problems. Instructions: Once you have completed the readings and viewed the material for all of subunit 2.4, complete this assessment. You will need to create a free account in order to access the material. If you have already created an account, log in to access the assessment. Your answers will be scored upon submission Instructions: Trigonometry is very useful for modeling real world data. Read the selection on pages 397–403 to develop some modeling techniques. Note that this reading covers the topics outlined in subunits 2.5.1 and 2.5.2. Note: Right triangles provide many practical applications of the trig functions. Learn to use these by reviewing pages 397-398 of the reading listed under subunit 2.5. Work through the examples and problems in the reading. Instructions: Watch the video to review applications of right triangle trig, and rework any problems that you had difficulty with. Watching this video should take approximately 7 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 2.5.2 Modeling with Sinusoidal Functions Note: Trig functions can be used to model real world phenomena that repeat in a predictable manner. Read pages 399–403 of the reading listed under subunit 2.5 to see how this works. Work the example problems and solve the "Try It Now" problems. Solutions to the Try It Now problems appear at the end of the selected reading. Instructions: Once you have completed the readings and viewed the material for all of subunit 2.5, complete this assessment. You will need to create a free account in order to access the material. If you have already created an account, log in to access the assesssment assessment will provide a review for your unit assessment. Link: Washington State Board for Community and Technical Colleges' "Chapter 6 Exam" (PDF) Instructions: Complete this assessment after you have completed all of the readings and assignments for Unit 2, including the review assignment. Unit 3: Trigonometric Equations and Identities The motion of a mass on a spring is a typical example of simple harmonic motion and can be described using sine waves and trig functions. The amplitude, period, and midline of the functions that describe the motion all give insight into the behavior of the moving object and allow for predictions about its behavior. This unit builds on the equation-solving techniques we developed in the previous unit by expanding our repertoire of useful identities and equation solving techniques. You will continue to study the properties of amplitude, period, and midline, and you will apply these to harmonic motion and mathematical modeling. Note: This topic is covered by the reading below subunit 3.1. Focus on page 410 and work all relevant examples and 'Try It Now" problems to review some basic identities. Solutions to the Try It Now problems appear at the end of each selected reading. 3.1.2 Solving Equations by Factoring, Using the Quadratic Formula, and Using Identities to Simplify Note: This topic is covered by the reading below subunit 3.1. We can apply some of our algebraic equation solving techniques to trigonometric equations in conjunction with our identities to solve more complicated problems. Focus on pages 410–415 of the Chapter 7 reading for examples of this, working through the examples and 'Try It Now" problems. Solutions to the Try It Now problems are located at the end of each selected reading. Instructions: Complete this assessment after you have worked through all the readings, videos, and problems for subunit 3.1. You will need to create a free account in order to access the material. If you have already created an account, log in to access the assessment. Your answers will be scored upon submission. Note: The first new set of identities is covered on pages 417–419 of the Chapter 7 reading, listed below subunit 3.2. Read through these, solving the examples and 'Try It Now" problems. Solutions to the Try It Now exercises are located at the end of each selected reading. Instructions: Watch this entire video to learn about how to use sum and difference identities for sine, cosine, and tangent. Watching this video should take approximately 6 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 3.2.2 Combining Waves with Equal Period Note: This topic is covered by the reading below subunit 3.2. In particular, pay attention to the selection on pages 419–423, which introduce a set of rules for combining and simplifying trig functions. Work through the examples and "Try It Now" problems. Solutions to the Try It Now exercises may be found at the end of each selected reading. 3.2.3 Product to Sum and Sum to Product Identities Note: This topic is covered by the reading assigned below subunit 3.2. Converting from products of trig functions to sums, and vice versa, can be useful in solving some equations. The reading on pages 423–427 covers how to do this. Carefully read the examples and complete the 'Try It Now" exercises. Solutions to the Try It Now exercises may be found at the end of each selected reading. Instructions: Complete this assignment when you have worked through all the readings, videos, and problems for subunit 3.2. You will need to create a free account in order to access the material. If you have already created an account, log in to access the assessment. Your answers will be scored upon submission. Instructions: Carefully watch the video. Be sure to attempt any examples on your own, and use what you learn to redo any problems in the reading that you found difficult. Watching this video should take approximately 5 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 3.3.2 Power Reduction and Half Angle Identities Note: This topic is covered by the reading assigned below subunit 3.3. Focus on pages 436-441 to learn to solve equations involving half angles and powers of trig functions. As usual, work through the examples carefully. Instructions: Complete this assignment after you have worked through all the readings, videos, and problems for subunit 3.3. You will need to create a free account in order to access the material. If you have already created an account, log in to access the assessment. Your answers will be scored upon submission. Instructions: Because real world phenomena are often modeled with trig functions, it is important to understand how changes to the functions affect the resulting graphs and the phenomena being modeled. To increase your understanding of this, read pages 442–448 of Chapter 7. This selection also covers the topics outlined in subunits 3.4.1 through 3.4.3. Note: This topic is covered by the reading assigned below subunit 3.4. The selection on pages 442–444 covers changing the midline of a trig function. Work through the examples and "Try It Now" problems to master the techniques. 3.4.2 Changing Amplitude Note: This topic is covered by the reading assigned below subunit 3.4. Focus on page 445, which covers changing the amplitude of a trig function. Work through the examples and "Try It Now" problems to master the techniques. 3.4.3 Damped Harmonic Motion Note: This topic is covered by the reading assigned below subunit 3.4. Focus on pages 445–447, which covers trig functions with increasing or decreasing amplitudes. Work through the examples and "Try It Now" problems. Instructions: Complete this assignment after you have worked through all the readings, videos, and problems for subunit 3.4. You will need to create a free account in order to access the material. If you have already created an account, log in to access the assessment. Your answers will be scored upon submission. Instructions: Complete this assessment after you have worked through all the readings, videos, and problems for Unit 7. You will need to create a free account in order to access the material. If you have already created an account, log in to access the assessment. Instructions: Note that this review is optional. Complete this assessment after you have worked through all the readings, videos, and problems for unit 7. You will need to create a free account in order to access the material. If you have already created an account, log in to access the assessment. Instructions: This assessment covers all of Unit 3; be sure to complete all of the material in each subunit before attempting this practice exam. Unit 4: Further Applications of Trigonometry Imagine a boat that leaves port, travels some distance, turns some measurable amount, and then continues on. How would you measure the distance between the boat and the port? The techniques you have developed in previous units for such calculations require the existence of a right angle to work. This unit introduces several new tools for modeling and analyzing the world around us, including an extension of right triangle trigonometry to non-right triangles, which is what you will need to solve the problem above. In addition, you will learn about using the polar coordinate system and parametric equations as alternatives to the Cartesian coordinate system, vectors, and complex numbers. Instructions: Pages 451–466 introduce the idea of using trigonometric functions in triangles other than right triangles. Read this selection carefully. This selection also covers the topics outlined in subunits 4.1.1 and 4.1.2. Note: This topic is covered by the reading assigned below subunit 4.1. Focus on pages 451–455 of the selection to learn about the Law of Sines. Take special note of the ambiguous case and be sure to understand when you can and cannot apply the law of sines. Read carefully, working through the examples and the "Try It Now" problems. Instructions: Watch the video and try to rework any problems that you had difficulty with in the reading. Watching this video should take approximately 5 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 4.1.2 The Law of Cosines Note: This topic is covered by the reading assigned below subunit 4.1. Focus on pages 455–461 of the selection to develop your understanding of the law of cosines, noting when you use it instead of the law of sines. Work through the examples and the "Try It Now" problems Read the selection from pages 467–475. The selection defines a new system for graphing points and curves based on distances and angles rather than the horizontal and vertical distances used in the Cartesian Coordinate system. This reading covers the topics outlined in subunits 4.2.1 through 4.2.3. Note: This topic is covered by the reading assigned below subunit 4.2. Focus on pages 467-468 for the definition and introduction of the polar coordinate system. Read carefully, working through the examples and the 'Try It Now" problems on your own. Instructions: Watch the entire video and rework any problems that you may have encountered in the reading section. Watching this video should take approximately 7 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 4.2.2 Converting between Polar and Cartesian Coordinates Note: This topic is covered by the reading assigned below subunit 4.2. This selection teaches the conversion back and forth between Cartesian and Polar Coordinate systems. Read pages 468 and 469 carefully, working through all problems. Instructions: Watch the entire video. If you had any difficulty with the problems in the reading selection, retry them after viewing this video. Watching this video should take approximately 5 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 4.2.3 Polar Equations Note: Now that you have developed an understanding of the polar coordinate system, you can begin to use it to graph and solve equations in polar forms. This topic is covered by the reading assigned below subunit 4.2. Focus on pages 470-475, which covers techniques for graphing and solving polar equations. Instructions: Complete this assessment after you have worked through all the readings, videos, and problems for subunit 4.2. You will need to create a free account in order to access the material. If you have already created an account, log in to access the assessment. Note: This topic is covered by the reading assigned below subunit 4.3. Focus on pages 480 and 481 for a definition of complex and imaginary numbers. Work through the examples and the "Try It Now" problems. Solutions to the Try It Now exercises appear at the end of each selected reading. Instructions: Watch this brief video, and then review any difficult problems from the reading selection. Watching this video should take approximately 1 minute. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 4.3.2 Arithmetic on Complex Numbers Note: This topic is covered by the reading assigned below subunit 4.3. Focus on pages 481–483, which cover addition, subtraction, multiplication, and division of the complex numbers. Make sure to work through any example problems. Instructions: Watch the first video example on dividing complex numbers. Then, watch the video example on multiplying complex numbers. Pay attention to the examples provided in each video, and then rework any problems that you had trouble with in the reading selection. Watching both these videos should take approximately 6 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 4.3.3 Polar Form of Complex Numbers and Euler's Formula Note: This topic is covered by the reading assigned below subunit 4.3. Learn how to write complex numbers in polar form by reading pages 483–486 carefully and working through the problems. Instructions: After viewing and working through the examples in the video, try to rework any difficult problems from the reading selection. Watching this video should take approximately 10 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 4.3.4 DeMoivre's Theorem Note: This topic is covered by the reading assigned below subunit 4.3. Focus on pages 486–488, and work through the examples and "Try It Now" problems carefully. Solutions to the Try It Now exercises appear at the end of each reading selection. Instructions: Complete this assignment after you have worked through all the readings, videos, and problems for subunit 4.3. You will need to create a free account in order to access the material. If you have already created an account, log in to access the assessment. Instructions: Vectors are geometric objects with both distance and direction, and they have numerous applications. Read pages 491-502 from Chapter 8 carefully to understand these applications. This reading selection also covers the topics outlined in subunits 4.4.1 through 4.4.3. Instructions: Watch this video carefully, and use what you learn to rework any problems from the reading that you had difficulty solving. Watching this video should take approximately 3 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above 4.4.2.3 Alternate Notation for Component Form Note: Read pages 494-496 of the reading listed under subunit 4.4 to see an alternated notation for component form using unit vectors. 4.4.3 Adding and Scaling Vectors in Component Forms Note: Now that you have established the algebraic definitions for vectors, the selection on pages 496–499 of the reading under subunit 4.4 will teach you how to combine vectors using their components. Read carefully and work through the problems and examples Up until this point in the course, we have been defining functions in terms of two variables: a dependent and an independent variable. Parametric equations give us a new way to define functions, determining the coordinates of a point based on functions of a third variable, often time. Read pages 504–512 to learn about these concepts. This reading also covers the topics outlined for subunits 4.5.1 through 4.5.3. Note: This topic is covered by the reading assigned below subunit 4.5. This section is an introduction to the basic concepts of parametric equations. Read pages 504–507 carefully, working all examples and problems. Instructions: This optional video will assist you with some of the problems in the assignment at the end of subunit 4.5. Watching this video should take approximately 2 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 4.5.2 Converting from Parametric to Cartesian Coordinates Note: This topic is covered by the reading assigned below subunit 4.5. Now that you have an idea what parametric equations are, you can explore how to change between parametric and Cartesian coordinates. Focus on pages 507–509 of the reading selection, and work through the exercises and sample problems. Instructions: Watch the video and make sure you understand the examples discussed; use what you learn to re-work any examples in the reading that you found difficult. Watching this video should take approximately 4 minutes. Terms of Use: Please respect the copyright and terms of use displayed on the webpage above. 4.5.3 Parameterizing Curves Note: Now that you can go between parametric and Cartesian coordinates, you will learn how to change equations in a similar manner. The reading on pages 509–512 of the selection listed under subunit 4.5 covers this topic Complete this review assessment Complete this assessment worksheet
Mathematics Intermediate 2 Description This course seeks to extend the mathematical skills learned at General level Standard Grade or Intermediate 1. The qualification consists of 3 units: Mathematics 1, Mathematics 2 and Applications of Mathematics. To successfully obtain the Intermediate 2 qualification, candidates must pass two external examinations and three internal assessments (one for each unit). One of the examination papers does not allow the use of a calculator. Recommended entry While entry is at the discretion of the college, candidates will normally have attained Standard Grade Mathematics at General level or an equivalent qualification Assessment Mathematics 1 (D321 11) To achieve this unit, you have to successfully complete the following outcomes: 1 Perform calculations involving percentages 2 Use formulae to find volumes of solids 3 Use linear relationships 4 Perform algebraic operations 5 Use properties of the circle Mathematics 2 (D322 11) To achieve this unit you have to successfully complete the following outcomes: 1 Use trigonometry 2 Solve simultaneous linear equations 3 Use graphs, charts and tables 4 Use simple statistics Applications of Mathematics (D324 11) To achieve this unit, you have to successfully complete the following outcomes: 1 Perform calculations in a social context, for example, taxation, borrowing money, etc. 2 Design and interpret logic diagrams 3 Use and interpret formulae 4 Undertake a short statistical assignment
Written by top researchers, this text blends theory and practice. It covers the modern topics of parallel algorithms, concurrency and recurrency. A McGraw-Hill/MIT Press collaboration, the text is designed for both the instructor and the student. It offers a flexible organization with self-contained chapters, and it provides an introduction to the necessary mathematical analysis. Introduction to Algorithms contains sections that gently introduce mathematical techniques for students who may need help. This material takes students at an elementary level of mathematical sophistication and raises them to a level allowing them to solve algorithmic problems. Simple, easy-to-do exercises, as well as more thoughtful, step-by-step case-generated problems are included. The book features standard analytic notation and includes trimmed-down, easy-to-read pseudocode. Book Description:Mcgraw-Hill College, 1990. Hardcover. Book Condition: Used: Acceptable. Bookseller Inventory # 1400028
Best practices math nsu mstPresentation Transcript I. Mathematics ~ Best PracticesNorthwood High School I.I NCTM Standards "The Standards for high school students are ambitious. The demands made on high school teachers in achieving the Standards will require extended and sustained professional development and a large degree of administrative support." (NCTM, 2010) Grades 9-12 Mathematics Number and Number Relations Understand numbers, ways of representing numbers, relationships among numbers, and number systems Understand meanings of operations and how they relate to one another Compute fluently and make reasonable estimates Algebra Understand patterns, relations, and functions Represent and analyze mathematical situations and structures using algebraic symbols Use mathematical models to represent and understand quantitative relationships Analyze change in various contexts Measurement Understand measurable attributes of objects and the units, systems, and processes of measurement Apply appropriate techniques, tools, and formulas to determine measurements Geometry Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships Specify locations and describe spatial relationships using coordinate geometry and other representational systems Apply transformations and use symmetry to analyze mathematical situations Use visualization, spatial reasoning, and geometric modeling to solve problems Data Analysis, Probability, and Discrete Math Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them Select and use appropriate statistical methods to analyze data Develop and evaluate inferences and predictions that are based on data Understand and apply basic concepts of probability Problem Solving, Reasoning & Proof, Communication, Connections, and Representation build new mathematical knowledge, apply and adapt strategies, and monitor and reflect on the process of problem solving analyze and evaluate the mathematical thinking and strategies of others, communicate mathematical knowledge to others and use the language of mathematics to express mathematical ideas precisely. understand how mathematical ideas interconnect and build on one another to produce a coherent whole recognize and apply mathematics in contexts outside of mathematics select, apply, and translate among mathematical representations to solve problems and create and use representations to organize, record, and communicate mathematical ideas use representations to model and interpret physical, social, and mathematical phenomena. I.II NCTM Standards - Summarized Through Content & Process, Students will: Learn to value all mathematicsBecome confident in the ability to do mathBecome mathematical problem solversLearn to reason mathematically I.III The NCTM Standards Overview Students should: "Experience the interplay of algebra, geometry, statistics, probability, and discrete mathematics. They need to understand the fundamental mathematical concepts of function and relation, invariance, and transformation. They should be adept at visualizing, describing, and analyzing situations in mathematical terms. And they need to be able to justify and prove mathematically based ideas." (NCTM, 2010) "Students of teachers who conduct hands-on learning activities outperform their peers by more than 70 percent of a grade level in math and 40 percent of a grade level in science." (National Council for Accreditation of Teacher Education, 2010) Researched-Based Strategies I.IV Qualities of Best Practice Strategies II.I According to a Research Brief from The Principal's Partnership, "Exceptional high school math programs seem to share some or all of the following characteristics: Connected to standards Reflect high expectations Connected to students' lives & cultures Make learning interactive Connect math to other disciplines Teach math in context Use mathematical modeling" (Principal's Partnership, 2010) Researched-Based Strategies II.IV …using manipulatives and activities to motivate students… Hands On Learning using manipulatives and activities to From Doing What Works at U.S. D.O.E. website: dww.ed.gov II.V Teacher Students Students What Do Best Practices Look Like? What Do Best Practices SoundLike? Teacher Students ? ? ? Teacher III.I Best Practices Approaches A constructivist approach which provides students with opportunities for active mental engagement Peer groups help each other master academic content Challenging and rigorous Collaborative discourse Peer discovery promotes a synergistic group An assessment approach and monitoring style which help keep students on task III.VII Social Peer Interactions Discussions are flowing among group members Collaboration Ideas are being exchanged with each other Example Respectful behavior among peers Best Practices Strategies III.VIII Collaboration IV.I Exemplary Lesson Questions & Activities are designed to guide lesson direction Structured math stations The students are expected to actively in developing knowledge Mobility to move about the room & take ownership of the learning The goal is to merge conceptual understanding and reasoning Cooperative groups & Individual learning IV.II Exemplary Lesson Connections to other subject areas Students relate to other lessons or interests Using real-world, familiar materials Board Games Lunch Menus Recipes Are you surprised that this is in a 2nd Grade Classroom? Exemplary lessons can be adapted to all learners. V.I "Mathematics classrooms are more likely to be places in which mathematical proficiency develops when they are communities of learners and not collections of isolated individuals." The National Academies Press V.II Use Technology Tools to Involve All Stakeholders Develop a Plan with Principals to Implement Best Practices Use Websites to Inform (Pictures, Blogs, Wikis) Create Partnerships with Community Businesses (Guest Speakers) Involve Parents in Lessons (PBL, Digital Diaries) Partner with Experts in the Field (NASA, Siemens) Share Ideas and Information with other Educators V.III Be Creative in Involving Parents in the Lesson or Project Assignment V.IV "Teachers and other educational leaders should consistently help students and parents to understand that an increased emphasis on the importance of effort is related to improved mathematics performance." (Foundations for Success: The Final Report of the National Mathematics Advisory Panel, 2010)
You will be required to read, think carefully, solve problems, present solutions of problems to the rest of the class, and provide written solutions to problems that you or others have solved together with careful explanation of your solutions. This class will be taught using a modified Moore Method approach. Instead of being shown how to do something and then doing it, you will instead be ask to independently and in cooperation with other students come up with solutions to carefully crafted problems that will be made available throughout the semester. Unless you are specifically told otherwise you are not to use any outside sources to solve any of the problems. This includes any books, internet sources, and any other people. You are of course welcome to ask me questions and to get help on background material such as might be contained in a college algebra course. Grades: Your grades will be determined as follows: You will have a midterm exam on October 3 during our regular class period and in our regular classroom that will count 20% of your grade. You will have a final exam from 7:00 am - 9:00 am on Tuesday, December 10 that will count 30% of your grade. The final is comprehensive and departmental. The remaining 50% of your grade will come from work that you present at the board in class or turn in to me in written form. It will be your goal to be able to work every problem in the problem sequence. For grading purposes you will need to either present or write up one problem every week. These problems will be graded on a 3 point scale. Exceptionally difficult problems or exceptionally good presentations may earn more than 3 points. Exceptionally insightful comments during class discussions may also qualify you for points. A total of 50 points will give you a perfect score for this portion of your grade. The number of points you earn will simply be added to your midterm grade times 0.2 and your final exam grade times 0.3 to give you a numerical grade on a 100 point scale which can then be translated to a letter grade using: 90-100 A 80-89 B 70-79 C 60-69 D 0-59 F The 3 point scale for problems presented at the board or written solutions follows: 3 - You have a correct and carefully explained solution. 2 - You have some minor errors or incomplete or inadequate explanations. 1 - You have major errors or explanations are completely absent. 0 - You did not turn in anything or there is not enough progress toward a solution to warrant any credit. I reserve the right to change the grading scheme if I believe that it will promote a better learning environment. I will let you know, and solicit your input, if I feel a change might be warranted. I will never make such a change, however, if the only purpose is to improve individual or class grades. Attendance: Attendance is expected at all class meetings. I will withdraw you from my October 14 . Any withdrawal after that date will result in a WF. If you feel that you must withdraw please try to do so on or before October 14. Make-ups: You will not be permitted to make up any written assignments or problems presented at the board. Make-ups for the midterm exam will be given only in exceptional cases (such as illness or family emergencies). You must notify me immediately when such an emergency arises and you must provide written evidence of your emergency. If an emergency requires you to miss the final exam you will receive a grade of I (incomplete) for the semester. A make-up will be scheduled for the following semester. After completing the make-up, your grade will be changed to reflect your score on the make-up final.
Secondary Curricula Proven core instruction for all Algebra students. Carnegie Learning Algebra I is designed as a first-year Algebra course for core instruction. It can be implemented with students at a variety of ability and grade levels, and is offered across many of our solution offerings. Please use the tabs below to learn more about the features and contents of this curricula and its various implementation options. Use the content browser on the left to view videos and image galleries of the curricula. Patterns and Multiple Representations Proportional Reasoning, Percents, and Direct Variation Solving Linear Equations Linear Functions and Inequalities Writing and Graphing Linear Equations Lines of Best Fit Systems of Equations and Inequalities Quadratic Functions Properties of Exponents Polynomial Functions Rational Expressions Probability Statistical Analysis Quadratic and Exponential Functions and Logic Features of our Textbooks Research-based Designed for a collaborative, student-centered classroom The classroom environment promotes discourse, collaborative work and depth of understanding Students engage in problem solving, communication and reasoning while making connections using multiple representations Students take ownership of their learning, making notes using their texts like a workbook Recommended for 40% (or two class periods/week) of the total instructional time in a course, the software is most often accessed via a web delivery model using the Carnegie Learning Online website. It can be delivered via a standalone installation, network/LAN, or remote-hosted local client-server model. Our Algebra I content can be delivered in a blended course format, with a combination of collaborative, student-centered textbook lessons and adaptive Cognitive Tutor software lessons. Can be used as core instruction. Carnegie Learning Algebra I content can be delivered via textbooks that support a collaborative classroom. Our classroom activities address both mathematical content and process standards. Students develop skills to work cooperatively to solve problems and improve their reasoning and communication skills. Our Algebra I content is available in all of our Adaptive Math Software Solutions, which are packages that feature our research-based Cognitive Tutor Software product line. Please review the Adaptive Math Software page to review the complete list of soltions that feature Algebra I content.
9780136007029 ISBN: 0136007023 Edition: 5 Pub Date: 2008 Publisher: Prentice Hall Summary: Clearly explained concepts, study skills help, and real-life applications will help the reader to succeed in learning algebra. Martin-Gay, Elayn is the author of Beginning Algebra (The Martin-Gay Developmental Algebra Series) (Hardcover), published 2008 under ISBN 9780136007029 and 0136007023. Two hundred twenty nine Beginning Algebra (The Martin-Gay Developmental Algebra Series) (Hardcover) textbooks are av...ailable for sale on ValoreBooks.com, twenty
Award-Winning Math Educator Creates New Equation for Success Through Mastering Essentials Math Essentials LOS GATOS, Calif., Oct. 3, 2013 /PRNewswire/ -- Award-winning math educator, Richard W. Fisher, has developed a streamlined math program that can be brought right into the home. He promises parents -- and students something they can count on -- math skills that will lead to long-term success in school and beyond. It is a fact, that nationally, only three out of every ten of our kids are proficient in math. It is also a fact that a student will be more than twice as likely to graduate from college if he or she completes Algebra II. Parents need to be aware of these statistics and ensure that their kids fit into the second category. The math that kids learn, especially in upper elementary, middle grades, and high school, can play a major role in determining his or her future education and career opportunities. And all kids deserve equal opportunities. The traditional American math equation is pretty simple: Dull + Difficult = Total Crisis. Fisher's program changes all of that. Fisher successfully declaws the formerly antagonistic relationship between students and math. The program consists of four books, Mastering Essentials Math Skills Books 1 & 2, Pre-Algebra, and No-Nonsense Algebra. Unlike most texts, each lesson is presented in a way that students can easily understand. The lessons are short, concise, and self-contained, with no fluff or distractions. And, most importantly, the program contains a video tutorial for each and every lesson. That's right -- students not only have an award-winning book, but they also receive 24/7 access to the author, who fully explains, and guides students through each topic! This makes for an unbeatable combination. The program is highly affordable, and with little or no involvement, parents can watch their kids' math scores soar.
MTH-ME28: Galois Theory with Advanced Topics 1. Introduction: This course is an introduction to Galois Theory, which beautifully brings together the notion of a group with the notion of a field from Groups and Rings (which is a prerequisite). In particular, the ideas developed will be applied to looking at the question of solving polynomial equations. 2. Hours, Credits and Assessment: A 20 UCU course of 33 lectures, supported by office hours. The assessment will be from coursework (20%) and one three-hour examination (80%). 3. Overview: Galois theory is one of the most spectacular mathematical theories. It gives a beautiful connection of the theory of polynomial equations and group theory. In fact, many fundamental notions of group theory originated in the work of Galois. For example, why some groups are called "solvable"? Because they correspond to the equations which can be solved! (Meaning by a solution some formula based on the coefficients and involving algebraic operations and extracting roots of various degrees.) Galois theory explains why we can solve quadratic, cubic and quartic equations, but no similar formulae exist for equations of degree greater than 4. In modern exposition, Galois theory deals with "field extensions", and the central topic is the "Galois correspondence" between extensions and groups. 4. Recommended literature and references: The best book for the course is probably Stewart, I., Galois Theory, Chapman and Hall. [QA214STE] A nice concise (and cheap) book is Artin, E., Galois Theory, Dover. Alternatively, you could try Cohn, P.M., Algebra Vol. 1, Wiley. [QA154COH] Herstein, I.N., Topics in Algebra, Wiley. [QA154HER] Snaith, V.P., Groups, rings and Galois theory, World Scientific. [QA171SNA] 5. Lecture Contents: Fields and polynomial rings; irreducibility of polynomials and irreducibility criteria for polynomials over Q; maximal ideals and construction of algebraic field extensions; degree; tower law; splitting fields. (9 lectures) Artin's Extension Theorem, separability, inseparability, Primitive Element Theorem. (5 lectures) Normal and Galois extensions, the Fundamental Theorem of Galois Theory, examples of the explicit computation of Galois groups. (7 lectures) Radical extensions, solvable groups, proof that a polynomial can be solved using radicals if and only if the associated Galois group is a solvable group, radical solution to general quadratic, cubic and quartic equations, explicit examples of polynomials which are not solvable by radicals. (7 lectures) Finite fields: basic structure of finite fields, all extensions of finite degree are Galois with cyclic Galois group. (5 lectures) 6. Advanced Topic: The inverse Galois problem which, rather than trying to work out the Galois group of a field extension, looks at trying to find field extensions with a given Galois
Lessons for Algebraic Thinking, Grades 3-5 The lessons in this book build the foundation that prepares students for studying algebra in middle and high school. Incorporating manipulative materials, children's books, and problem-solving investigations, these lessons actively engage students in creating, recognizing, describing, and extending patterns, and representing patterns with words, tables, variables, and graphs. The lessons also introduce students to solving equations and plotting points.
Basic Mathematics for Electronics - 7th edition Summary: Basic Mathematics for Electronics combines electronic theory and applica-tions with the mathematical principles necessary to solve a wide range of circuit problems. Coverage of mathematical topics reflects current trends in elec-tronics. A complete chapter is devoted to Karnaugh mapping to help students cope with the greater com-plexity of modern digital circuit devices. Marginal notes indicate areas of special interest in computers and computer usage. To ...show morefacilitate learning, material is presented in a block form that employs a two-color, single-column format. After the initial chapters, sections may be studied ndependently. As each new topic is introduced, illustrative examples and numerous prob-lems, graded from easy to difficult, are given for reinforcement. Answers to odd-numbered problems are provided in the back of the book. The Answers to Even-Numbered Problems booklet contains answers and selected worked-out solutions. A computerized Test Bank and Transparency Masters are also available with this edition. ...show less A readable copy. All pages and cover are intact. Dust jacket is torn or missing. The book has moderate to heavy wear. This is a used textbook with light wear,
Elementary Statistics with CD : A Step by Step Approach with Formula Card and Data Cd 9780077460396 ISBN: 0077460391 Edition: 8 Pub Date: 2011 Publisher: McGraw-Hill Higher Education Summary: Be guided through every step of the fundamentals of statistics. It is a great introduction to statistics for college students who have a basic grasp of algebra. It covers all the main concepts effectively and provides a lot of opportunity for practical application. Students are taught problem solving using detailed instructions and examples. It also focuses on the different digital applications used in statistics suc...h as Excel, graphing calculators and MINITAB. It also complements an online course so students can receive more from their course and excellent feedback from the online platform. We offer many top quality used statistics textbooks for college students
not mathematical physics. Mathematics OF physics. It's the complete book of all the math you'll need until you arrive to the really advanced stuff. It's a huge thick book that's completely unreadable, but if you're ever looking for a theorem that might be useful for some problem, Butkov is a bible. But you'll want to rip your eyes out if you read it for more then 10 mins. The text is so tiny you gotta squint your eyes. And the actual writing...
So one of our amazing community members, Austin Taylor, just put together quite an exhaustive list of awesome software. Austin authors in math (and is currently in grad school getting his master's in the subject), but many of these software recommendations span across the disciplines. So thank you, Austin, for being so incredibly cool and putting this together. Let's give him a round of applause, folks. Enjoy! One Comment [...] question clearly, 2) try to answer the question in a pointed and brief manner, and 3) try to use the latest software if drawing is a necessary component of the answer. I spend an average of seven to ten minutes on [...]
After each class, I want you to rewrite and rework your notes in the notebook provided. In class we will often skip an example or a proof, but I will ask you to fill it in when you rework your notes. As you rework your notes, write in complete English sentences and give full explanations. I will also ask you to do specific homework problems at specific points in the notes. For example, in the first night of class I will ask you to work through Example 2 on p. 243 and work Exercise 24 from p. 252 before continuing on to the material on first-order systems. Do not write in your "good" notebook during class. I will collect the notebooks a few times during the semester, sometimes at random, and sometimes with sufficient notice. Projects: Each student should do 4 projects during the term, and at least two of these must be presented before the class. Choose 2 projects from Group A, 1 project from group B, and 1 project from group C. Before you proceed with the work on a project, check with me. I would like to have all 12 projects done and presented before the class. You will have 15 for your presentation. Group A Group B Group C 4.1 Gravitation & Kepler's Laws of Planetary Motion 8.2 Automatic Computation of Series Coefficients 9.5 Heated Rod Investigations 4.3 Comets and Spacecraft 8.3 Automating the Frobenius Series Method 9.6 Vibrating Spring Investigations 5.2 Automatic Calculation of Eigenvalues 9.2 Computer Algebra Calculation of Fourier Coefficients 5.3 Earthquake Induced Vibrations of Multistory Buildings 9.3 Fourier Series of Piecewise Smooth Functions 6.1 Phase Portraits and First-Order Equations 6.2 Phase Portraits of Almost Linear Systems 6.3 Your Own Wildlife Preserve Project 4 The Lorenz Attractor (p. 444) Course Outline: Week Dates Tuesday Thursday 1 January 9 & 11 Í 4.1 First-Order Systems and Applications Í 4.2 The Method of Elimination 2 January 16 & 18 Í 4.3 Numerical Methods for Systems Í 5.1 Matrices and Linear Systems 3 January 23 & 25 Í 5.1 Continued Student Presentations Í 5.2 The Eigenvalue Method for Homogeneous Systems 4 Jan 30 & Feb 1 Í 5.3 Second-Order Systems and Mechanical Applications Í 6.1 Stability and the Phase Plane 5 February 6 & 8 Í 6.1 Continued Student Presentations Í 6.2 Linear and Almost Linear Systems 6 February 13 & 15 Í 6.3 Ecological Models: Predators and Competitors Í 6.5 Chaos in Dynamical Systems 7 February 20 & 22 Review Student Presentations MIDTERM EXAM 8 Feb 27 & Mar 1 Í 8.1 Introduction and Review of Power Series Í 8.2 Series Solutions Near Ordinary Points 9 March 6 & 8 Í 9.1 Periodic Functions and Trigonometric Series Í 9.2 General Fourier Series & Convergence Student Presentations Spring Break ! ! 10 March 20 & 22 Í 9.2 Continued Í 9.3 Fourier Sine and Cosine Series Í 9.3 Fourier Sine and Cosine Series Student Presentations 11 March 27 & 29 Í 9.4 Applications of Fourier Series Í 9.5 Heat Conduction and Separation of Variables 12 April 3 & 5 Í 9.5 Continued Student Presentations Í 9.6 Vibrating String 13 April 10 & 12 Í 9.6 Continued Í 9.7 Steady-State Temperature and Laplace's Equation 14 April 17 & 19 Í 9.7 Continued Student Presentations B&C Sections 10-16 15 April 24-26 B&C Sections 17-21, 24 B&C Sections 26-28 Student Presentations 16 Final Exam: Tuesday, May 1, 2001 Important Notes: A grade of I (incomplete) can be given only under the following circumstances: (1) the student is prevented by a medical or similar emergency from completing a small portion of the course requirements, (2) the student presents valid documentation of the emergency, and (3) the student is passing the course at the time of the emergency. A grade of I cannot be given as an alternative to an E or UW. Computing Projects: We will use Mathematica in the classroom PH0304. I recommend Mathematica for the projects, but some of the projects may be done with Matlab. If you do not know Mathematica, let me know and we can schedule some time where you can get started with Mathematica. The lab reports may be written up using Mathematica as the word processor. Follow the directions in the tutorial handed out in the first week. Write your reports in complete English sentences. Justify your assertions by using clear and concise arguments. You may refer to Mathematica output (algebraic, numerical, or graphical) in your arguments. Deadlines for written project reports and oral presentations will be announced throughout the semester. Homework Assignments: Homework will be assigned during each class period. The homework assignments should be merged into your reworked class notes that you put in your notebook.
More About This Book From financial decisions to your education, job, health, and love life, you'll learn how the math you already know can help you get a lot more out of life. Gives you fun, practical advice for using math to improve virtually every area of daily life Includes straightforward explanations and easy-to-follow examples Written by the author of the successful guide, How Math Explains the World Filled with practical, indispensable guidance you can put to work every day, this book will safeguard your wallet and enrich every aspect of your life. You can count on it! Editorial Reviews From the Publisher * Taking his lead from Freakonomics, mathematics professor Stein examines everyday, occasional, and inevitable life problems—what's the financial benefit of a college degree over a lifetime? Is gambling more cost-efficient entertainment than a first-run movie? How much money does a hybrid car actually save?—through the lens of arithmetic, with enlightening, and sometimes surprising, results. Addressing topics like genetics, statistics, and economics with practical knowledge sure to heighten math literacy—and the appreciation for it— (Mar.) (Publishers Weekly.com, February 8, 2010) Publishers Weekly Taking his lead from Freakonomics, mathematics professor Stein examines everyday, occasional, and inevitable life problems-what's the financial benefit of a college degree over a lifetime? Is gambling more cost-efficient entertainment than a first-run movie? How much money does a hybrid car actually save?-through the lens of arithmetic, with enlightening, and sometimes surprising, results. Addressing topics like genetics, statistics, and economics with practical knowledge sure to heighten math literacy-and the appreciation for it- Related Subjects Meet the Author James D. Stein is the author of How Math Explains the World: A Guide to the Power of Numbers, From Car Repair to Modern Physics and is a professor of mathematics at California State University, Long Beach. A graduate of Yale University and the University of California, Berkeley, he has taught college math for more thanherrySkipperSpurgeon Posted April 11, 2010 USEful Math Book for ALL! FINALLY a MATH book that is USEful for EVERYONE! Yes, Jim has done it with this one. You will get back every penny just from reading the first few chapters.and, you won't have to solve a single word problem either. This is a no-nonsense, practical, arithmetic approach to the WHY you need to have learned math in school (I know, you can't imagine what could possibly be good about this, right?). Simple, yet, intuitive and REASONABLE explanations for things that each and every single one of us has ever encountered in our lives.from being tempted by a sales person to purchase an extended service contract to whether or not a QB should throw a pass (what?! football references?). Trust me on this one, this is a book that you won't feel is a math book. Teachers should read it, too! Most definitely! A++++++ 1 out of 1 people found this review helpful. Was this review helpful? YesNoThank you for your feedback.Report this reviewThank you, this review has been flagged.
finite mathematics courses taught to first- and second-year college students, especially those majoring in business and the social and biological sciences. This tried and true text offers extremely readable coverage of the principles of finite mathematics and their applications in business, social science, and the life sciences. The book divides naturally into four parts. The first part consists of linear mathematics: linear equations, matrices, and linear programming (chapters 1-4); the second part is devoted to probability and statistics (chapter 5-7); the third covers topics utilizing the ideas of the first two parts (chapters 8-10); and the fourth covers topics from discrete mathematics sometimes included in the modern finite mathematics curriculum. In revising this book, the authors incorporated a wide range of topics from which the instructor may design a curriculum, as well as a high degree of flexibility in the order in which the topics may be presented.
It describes each strategy and clarifies its advantages and drawbacks. Also included is a large sample of classroom-tested examples along with sample student responses. These examples can be used "as is" - or you can customize them for your own class. This book will help prepare your students for standardized tests that include items requiring evidence... more... Topics in Matroid Theory provides a brief introduction to matroid theory with an emphasis on algorithmic consequences. Matroid theory is at the heart of combinatorial optimization and has attracted various pioneers such as Edmonds, Tutte, Cunningham and Lawler among others. Matroid theory encompasses matrices, graphs and other combinatorial entities... more... This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method,...Debates in Mathematics Education explores the major issues that mathematics teachers encounter in their daily lives. It engages with established and contemporary debates, promotes and supports critical reflection and aims to stimulate both novice and experienced teachers to reach informed judgements and argue their point of view with deeper theoretical... more... Praise for the First Edition "Stahl offers the solvability of equations from the historical point of view...one of the best books available to support a one-semester introduction to abstract algebra." — CHOICE Introductory Modern Algebra: A Historical Approach, Second Edition presents the evolution of algebra and provides readers with... more... A great for anyone looking to explore interactions within... more... This volume, as Andrew M. Odlzyko writes in the foreword, "commemorates and celebrates the life and achievements of an extraordinary person." Originally conceived as an 80th birthday tribute to Herbert Wilf, the well-known combinatorialist, the book has evolved beyond the proceeds of the W80 tribute.Professor Wilf was an award-winning teacher,... more...
Algebra ½ covers all topics normally taught in prealgebra, as well as additional topics from geometry and discrete mathematics (used in engineering and computer sciences). With Algebra ½ , students can deepen their understanding of prealgebraic topics. Algebra ½ includes: instruction and enrichment on such topics as compressions, approximating roots, polynomials, advanced graphing, basic trigonometry, and more. [via] Aimed at first and second year undergraduate students in mathematics, the physical sciences, and engineering, and written by two authorities in the field, this book will be required reading for courses that follow a 'problem-solving' approach to teaching calculus. The main philosophy of calculus is presented through many examples and applications to explain its abstract notions and concepts. A solutions manual demonstrating the workings of each example accompanies the book. [via]
34: Ordinary differential equations Ordinary differential equations are equations to be solved in which the unknown element is a function, rather than a number, and in which the known information relates that function to its derivatives. Few such equations admit an explicit answer, but there is a wealth of qualitative information describing the solutions and their dependence on the defining equation. There are many important classes of differential equations for which detailed information is available. Applications to engineering and the sciences abound. Numerical solutions are actively studied. Note that every indefinite integration problem is really an example of a differential equation, so the entirety of section 28: Integration and Measure is subsumed in this section in principle. The solutions to many classic differential equations, particularly linear second-order differential equations, cannot be expressed in terms of the elementary functions but are themselves studied in 33: Special Functions. This includes Bessel functions, Whittaker functions, Airy functions, and so on. There is a bumper crop of texts available at the undergraduate level; we decline to single out any one at this level. Typical topics seem to include various special classes of functions admitting (nearly) closed-form solutions (first order linear, linear with constant coefficients, separable, etc.); general tools (Laplace transforms, variation of parameters); some numerical methods (Euler's method, Runge-Kutta); and a few existence and uniqueness theorems. Most ODEs do not admit an explicit solution expressible using elementary functions. Determining when such solutions do exist is a branch of symbolic algebra; see e.g. this discussion of symbolic integration. (Includes references for symbolic solutions of ODEs).
Elementary Numerical Analysis 9780471897330 ISBN: 0471897337 Pub Date: 1985 Publisher: Wiley & Sons, Incorporated, John Summary: Offering a clear, precise, and accessible presentation, complete with MATLAB programs, this new Third Edition of Elementary Numerical Analysis gives students the support they need to master basic numerical analysis and scientific computing. Now updated and revised, this significant revision features reorganized and rewritten content, as well as some new additional examples and problems. The text introduces core areas... of numerical analysis and scientific computing along with basic themes of numerical analysis such as the approximation of problems by simpler methods, the construction of algorithms, iteration methods, error analysis, stability, asymptotic error formulas, and the effects of machine arithmetic. Atkinson, Kendall E. is the author of Elementary Numerical Analysis, published 1985 under ISBN 9780471897330 and 0471897337. Twenty four Elementary Numerical Analysis textbooks are available for sale on ValoreBooks.com, twenty used from the cheapest price of $0.01, or buy new starting at $29
Learning Basic Math Online: Quick "Brushups" or Certificate Courses There's a huge array math classes online available, designed for everyone from grammar school kids to college students, businesspeople in accounting or statistics right on down to folks who just want to do "everyday math" to keep better track of their finances. Purely Practical "Brushup" online mathematics classes can improve your basic life skills with an overview of practical arithmetic. Subject will include basic addition and subtraction to fractions, decimals, computing with integers and application of these skills to word problems. At this level, it's not necessarily bad if the school is unheard of or has no accreditation. A great many small companies offer these courses, sometimes for as little as $40. The course may run anywhere from a few weeks to six months. Many will actually offer refunds if you're not satisfied with the course. Of course, if you're a savvy web searcher and you're willing to spend time searching around via Google or Yahoo, you'll also find some free online math courses, though they may simply offer a series of documents for you to study by, with no actual teacher involvement. Your Own Pace Math courses at all levels tend to be "asynchronous," meaning there's little formal class time when you and the professor are online together. That's because so much of the learning in math comes from simply practicing equations on your own. Basic online mathematics classes can help a student at any age who needs to pass a placement test or qualify for a specific job promotion. Some basic math classes online will provide you with a certificate of completion, though it's not universal
Fayetteville, GA ACT Math Professional Engineer.Algebra is about more than memorizing formulas. It offers a method of mental organization which you will use to solve problems the rest of your life. With good motivation, everyone can learn algebraYou will learn how to draw graphs of straight lines and parabolas. You will learn about the shapes of graphs for many types of equations. Algebra 1 also includes some statistics and probability and a small amount of geometry.
remember when I was a little girl, we had thick, round, green pencils in the younger grades. I think we started using the standard, longer, yellow pencils in fourth or fifth grade. I went to grade school in the 60's and funny to think that they're still using those green pencils after all this time. As a side note to nothing in particular, "101" has come to mean "basic," "simple," "easy," etc. etc., but it started out in "Nineteen Eighty-Four" as the main room of torture. Prisoners were taken there to be tortured by being exposed to their worst fears. Actually, the use of 101 for introductory courses in college started in the 1930's and worked its way into common usage from that root. The problem with math is the teachers. Some of them teach, some of them don't. After that, none of the colleges will teach the basic stuff at the remedial level. Plus the books are different. They are a review. People think math is about brilliance but it's really about studying it thoroughly enough not to have gaps in your knowledge of it
This graduate course is an introduction to combinatorics and graph theory. We will survey a variety of topics, emphasizing those methods relevant to computer science. One underlying theme will be that it is often not hard to use the probabilistic method to show the existence of useful combinatorial objects; we will have to work harder to give efficient deterministic constructions of these objects. This course should be similar to the 2007 version. A list of topics follows. Topic Reference Approximate Time Counting and Probability Jukna, Chapters 1, 3 1 week Matching Theory Jukna, Chapter 5 1 lecture Pigeonhole Principle Jukna, Chapter 4 1 week VC Dimension Jukna, Chapter 10 1 lecture Ramsey Theory Jukna, Chapters 4, 25, 26 1 week Probabilistic Method Jukna, Chapters 18-20 2 weeks Linear Algebra Method Jukna, Chapters 14-15 1-2 weeks Polynomial Method Jukna, Chapter 16 1 week Designs Jukna, Chapter 12 1 lecture Codes Jukna, Chapter 17 1-2 weeks Expander Graphs Jukna, Chapter 15 1-2 weeks Random Walks Jukna, Chapter 23 1 week Randomness Extractors TBD 1-2 weeks Additive Combinatorics TBD 1 lecture --> Prerequisites: Graduate standing or consent of instructor. Many students find this course difficult, so a first-rate math background is highly recommended. See the Review Sheet for material you're expected to know. In particular, a strong knowledge of elementary probability is essential. For students wishing to review probability, I recommend the first two chapters (except Section 2.6) of R. Meester, A Natural Introduction to Probability Theory. Equally important are problem-solving skills, an understanding of elementary proof techniques, and knowledge of basic counting. For general problem-solving and proof techniques, I recommend Chapters 2 and 3 of P. Zeitz, The Art and Craft of Problem Solving, and for basic counting I recommend Sections 6.1 and 6.2 of the same book. Finally, we will use some elementary linear algebra. This is succinctly reviewed in Section 13.1 of the text. Succinct review of the other topics above are available in the text in Sections 1.1 and 3.1. Students outside of computer science should be familiar with the notion of polynomial-time computability, e.g., by reading Section 1.1 of C. Papadimitriou, "Computational Complexity." Students with Disabilites:
College Algebra With Ilrn Tutorial 9780534998462 ISBN: 0534998461 Pub Date: 2004 Publisher: Brooks/Cole Summary: Focusing on and reinforcing problem-solving throughout, Kaufmann and Schwitters help students learn to analyze a word problem by approaching it logically and extracting all its essential mathematical components so that the process of solving a problem can be approached with ease. The authors' proven approach of "learn a skill" then "use a skill to solve equations and inequalities" and finally, "use equations and ineq...ualities to solve word problems" helps students apply their newly learned skills immediately for better comprehension and retention. This is the same approach used by the authors in their highly successful developmental mathematics texts. Kaufmann, Jerome E. is the author of College Algebra With Ilrn Tutorial, published 2004 under ISBN 9780534998462 and 0534998461. Thirty five College Algebra With Ilrn Tutorial textbooks are available for sale on ValoreBooks.com, thirty used from the cheapest price of $0.10, or buy new starting at $22.99
Other Formats Product Description Math 8/7 is the prealgebra program for students who have completed Math 7/6. It emphasizes the concepts and skills necessary for your child's success in upper-level mathematics courses, including scientific notation; statistics and probability; ratios and proportions; simplifying and balancing equations; factoring algebraic expressions; slope-intercept form; graphing linear inequalities; arcs and sectors; and the Pythagorean theorem. The solutions manual includes full step-by-step solutions for all lesson and investigation problems and for all 23 cumulative tests. Also includes answers to Supplemental Practice Problems and Facts Practice problems. Product Reviews Math 87, Third Edition, Solutions Manual 5 5 1 1 Excellent book! This book brought tears to my eyes! It had me spellbound! I highly recommend it to Tutors and Home-School Instructors. Seriously though, it has made my job teaching Pre-Algebra a snap. I am so much smarter now. Oh yeah, and the price was reasonable as well. nuff said. November 7, 2012
mediate Algebra for College Students KEY MESSAGE The Blitzer Algebra Series combines mathematical accuracy with an engaging, friendly, and often fun presentation for maximum student ...Show synopsisKEY MESSAGE The Blitzer Algebra Series combines mathematical accuracy with an engaging, friendly, and often fun presentation for maximum student appeal. Blitzer's personality shows in his writing, as he draws students into the material through relevant and thought-provoking applications. Every Blitzer page is interesting and relevant, ensuring that students will actually use their textbook to achieve success! KEY TOPICS Algebra, Mathematical Models, and Problem Solving; Functions and Linear Functions; Systems of Linear Equations; Inequalities and Problem Solving; Polynomials, Polynomial Functions, and Factoring; Rational Expressions, Functions, and Equations; Radicals, Radical Functions, and Rational Exponents; Quadratic Equations and Functions; Exponential and Logarithmic Functions; Conic Sections and Systems of Nonlinear Equations; Sequences, Series, and the Binomial Theorem MARKET for all readers interested in algebra.Hide synopsis Description:This edition features the exact same content as the traditional...This edition features the exact same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value— this format costs significantly less than a new
Audio Graphing AGC provides the functionality of handheld scientific calculators commonly used in the classroom. Operating on a flexible Windows platform and augmented with audio and tactile feedback, the AGC provides an alternative for people who cannot effectively use a handheld calculator, or those seeking a more interactive interface. The AGC is accessible to anyone who can use a computer, regardless of ability, allowing the user to concentrate on math, not on learning the tools to access it. Version 3 may include unspecified updates, enhancements, or bug fixes. What's new in this version: Version 3
23, 2005 Algebra Unplugged Math quote for this weekend: "Sometimes, the simple way to say something isn't perfectly accurate in all situations. Rather than be perfectly clear, books tend to be perfectly accurate, which is great, if you can just figure out what in the world their author is trying to say."--Algebra Unplugged, by Kenn Amdahl & Jim Loats, Ph.D. Quick recommendation: buy this and read it BEFORE you start working through a big fat algebra I text. Mama Squirrel wishes this book had been around when she started high school math; it would have saved many hours of puzzlement. Amdahl and Loats give explanations like "In arithmetic, usually we started out with ingredients and tried to make cookies. In algebra, sometimes we start with the cookie and try to deduce the recipe. When we begin with the "product" and try to figure out the multiplication problem that led to it, we are engaging in "factoring."" Oh, so that's what it was about! Buy or borrow this book. Trust Mama Squirrel, it will make life much easier for your math students--and their homesquirreling parents
Math for Standards 2011-12 The idea behind this blog is to allow students the chance to talk about math. Students do not often get this chance, and by talking about the different concepts, the students arrive at a better understanding. This leads them to be more involved in math. Unit 4 Preview: Alegbraic Concepts 1. Inductive Reasoning and Patterns is commonly displayed using deductive reasoning also mostly in expressions to solve problems in geometry. It can be used to find patterns with shapes and other things in geometry. Inductive reasoning means that there is reasoning within a statement or expression. 2. Functions are the things we use in a equation to solve for an answer. Examples of which are: subtraction, addition, multiplication, division. These functions determine the answer of the equation. 3. Linear equations are equations that solve for the length of a line. Slope is a formula used in geometry to find the slope of a x and y axis. Direct variation is a mathematical relation between two variables that can be expressed by an equation. 4. Systems of Linear Equations are the whole thing of linear equations into one. The linear equations are used to help find the length of a lot of lines together. The linear equations are then grouped together to find the answer for all the lines. 5. The Growth Formula is a formula that shows the growth of a something. Such as the growth formula could represent the growth of a line. Interest is where banks charge you interest if you are late on paying a bill. It represents the amount you must pay if your bill is overdue. 6. Inequality Relations show the difference between numbers such as if one number is larger than the other. The difference between two numbers is represented by a greater and lesser sign. Also the two numbers can be represented as equal by an equal sign. 7. The linear inequalities show the difference between two lines. The lines difference is represented by a greater or lesser sign. The graph represents/shows the difference between the two lines. 8. Inverse Variation is a relationship between two variables in which the product is constant. The variables used in the inverse variation commonly are shown by x and y. This usually is seen within a graph. 9. Polynomial Operations are the operations used by polynomials. Polynomials are shapes that are used commonly in geometry. The figures are used to find the amount of degrees in a shape. 10. Quadratic Functions are used to find the amount of degrees in four sided quadrilaterals shapes. They help in geometry with the quadrilateral shapes to find their distance. The functions also help find the length of the sides and size of their angles.
Introduction to Relations and Functions Consider the following statements. Each of them represents a situation that could occur in everyday life. The outdoor air temperature varies with the time of day. The time the ... Numbers A number is an abstract expression of a quantity. Mathematicians define numbers in terms of sets containing sets. All the known numbers can be built up from a starting point of zero. Numerals are the written symbols that are agreed-on to ... Elementary Rules The objective of solving a single-variable equation is to get it into a form where the expression on the left-hand side of the equals sign is the variable being sought (for example, x) standing all alone, and the expression on the ... Simple Graphs—Smooth Curves When the variables in a function are clearly defined, or when they can attain only specific values (called discrete values), graphs can be rendered simply. Here are some of the most common types.
eBook Ordering Options Description With an emphasis on mathematical thinking and problem solving, Mathematics in Games, Sports, and Gambling — The Games People Play shows how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. It draws on numerous examples, questions, and problems to explain the application of mathematical theory to various real-life games. Only requiring high school algebra, the text offers flexibility in choosing what material to cover in a basic mathematics course. It covers permutations in the two-deck matching game so derangements can be counted, introduces graphs to find matches when looking at extensions of the five-card trick, and studies lexicographic orderings and ideas of encoding for card tricks. The text also explores linear equations and weighted equations in the section on the NFL passer rating formula and presents graphing to show how data can be compared or displayed. For each topic, the author includes exercises based on real games and sports data. Reviews A 2010 CHOICE Outstanding Academic Title …this volume is a wonderful reference for studying probability or statistics … Though this book might serve as the seed for the development of a new mathematics course at some institutions, this reviewer sees its greater value as a reference for mathematicians who are unfamiliar with the probabilities associated with gambling or applying statistics in sports. Author Bio Ronald J. Gould is the Goodrich C. White Professor in the Department of Mathematics and Computer Science at Emory University. The recipient of the Mathematical Association of America's Southeastern Section Distinguished Teaching Award in 2008, Dr. Gould has authored more than 135 research papers and serves on the editorial board of several journals dealing with discrete mathematics. Related Subjects Name: Mathematics in Games, Sports, and Gambling: - The Games People Play (Hardback) – Chapman and Hall/CRC Description: By Ronald J. Gould. With an emphasis on mathematical thinking and problem solving, Mathematics in Games, Sports, and Gambling — The Games People Play shows how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and... Categories: Combinatorics, Probability, Mathematics & Statistics
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History of Mathematics An Introduction 9780072471403 ISBN: 0072471409 Pub Date: 2002 Publisher: McGraw-Hill Higher Education Summary: 1 Early Number Systems and Symbols 2 Mathematics in Early Civilizations 3 The Beginnings of Greek Mathematics 4 The Alexandrian School: Euclid 5 The Twilight of Greek Mathematics: Diophantus 6 The First Awakening: Fibonacci 7 The Renaissance of Mathematics: Cardan and Tartaglia 8 The Mechanical World: Descartes and Newton 9 The Development of Probability Theory: Pascal, Bernoulli, and Laplace 10 The Revival of Number... Theory: Fermat, Euler, and Gauss 11 Nineteenth-Century Contributions: Bolyai and Lobachevsky 12 Transition to the Twenthieth Century: Canto and Kronecker 13 Extensions and Generalizations: Hardy, Hausdorff, and Noether Burton, David M. is the author of History of Mathematics An Introduction, published 2002 under ISBN 9780072471403 and 0072471409. Thirteen History of Mathematics An Introduction textbooks are available for sale on ValoreBooks.com, seven used from the cheapest price of $20.85, or buy new starting at $191.23
The Art of Problem Solving, Vol. 1: The Basics Categories: Description: The Art of Problem Solving, Volume 1, is the classic problem solving textbook used by many successful MATHCOUNTS programs, and have been an important building block for students who, like the authors, performed well enough on the American Mathematics Contest series to qualify for the Math Olympiad Summer Program which trains students for the United States International Math Olympiad team. Volume 1 is appropriate for students just beginning in math contests. MATHCOUNTS and novice high school students particularly have found it invaluable. Although the Art of Problem Solving is widely used by students preparing for mathematics competitions, the book is not just a collection of tricks. The emphasis on learning and understanding methods rather than memorizing formulas enables students to solve large classes of problems beyond those presented in the book. Speaking of problems, the Art of Problem Solving, Volume 1, contains over 500 examples and exercises culled from such contests as MATHCOUNTS, the Mandelbrot Competition, the AMC tests, and ARML. Full solutions (not just answers!) are available for all the problems in the solution manual
The CRC Concise Encyclopedia of Mathematics Book Description: The CRC Concise Encyclopedia of Mathematics is a compendium of mathematical definitions, formulas, figures, tabulations, and references. Its informal style makes it accessible to a broad spectrum of readers with a diverse range of mathematical backgrounds and interests. This fascinating, useful book draws connections to other areas of mathematics and science and demonstrates its actual implementation - providing a highly readable, distinctive text diverging from the all-too-frequent specialized jargon and dry, formal exposition.Through its thousands of explicit examples, formulas, and derivations, The CRC Concise Encyclopedia of Mathematics gives the reader a flavor of the subject without getting lost in minutiae - stimulating his or her thirst for additional information and exploration.This book serves as handbook, dictionary, and encyclopedia - extensively cross-linked and cross-referenced, not only to other related entries, but also to resources on the Internet. Standard mathematical references, combined with a few popular ones, are also given at the end of most entries, providing a resource for more reading and exploration
Modelling With Force and Motion The School Mathematics Project 9780521408912 ISBN: 0521408911 Pub Date: 1993 Publisher: Cambridge University Press Summary: The aim of 16-19 Mathematics has been to produce a course which, while chaallenging, is accessible and enjoyable to all students. The course develops ability and confidence in mathematics and its applications, together with an appreciation of how mathematical ideas help in the understanding of the world and society in which we live. The unit: · helps develop an ability to use the concepts introduced in Newton's laws ...of motion to study projectiles, forces, circular motion at constant speed, and statics of rigid bodies; · provides insight into the potential of mathematics for modelling physical phenomena; · helps foster an appreciation of the links between mathematics and the real world; · develops a basis for further study in engineering and science; · fosters an ability to model both in familiar and unfamiliar contexts within the field of mechanics. School Mathematics Project Staff is the author of Modelling With Force and Motion The School Mathematics Project, published 1993 under ISBN 9780521408912 and 0521408911. Fourteen Modelling With Force and Motion The School Mathematics Project textbooks are available for sale on ValoreBooks.com, six used from the cheapest price of $3.49, or buy new starting at $16.44.[read more]
This small volume provides you with carefully worked out examples and plenty of problems to solve (answers at the end of the book). It assumes some understanding of algebra and is not for absolute beginners. By the time you have worked through the chapters, you are likely to be proficient in the topics under discussion. I will recommend it to anyone trying to learn basic algebra without the help of a tutor. This book teaches basic-to-intermediate algebra. As another reviewer mentioned, this is not a complete beginners book. Each topic is well explained through step-by-step examples and there are more than enough questions to keep a person busy. The topics are efficiently explained: it is not overly wordy. I have been able to work through most of the content without needing another persons help, so it seems suitable for someone wanting to self-study. If you are self-studying and get really stuck, you could probably find plenty of relevant information and worked examples on the internet. Help Yourself to Algebra is ideally suited as a study aid for people who are being introduced to Higher level GCSE or post GCSE mathematics. As a mature student with a GCSE maths background, just working through the first half of the book improved my skills noticeably.
This text will be a modern introduction to number theory, a course taught at most colleges and universities, primarily to math and c.s. majors, and will place heavy and continuing emphasis on algorithmic aspects of the subject. The language of the algorithms used will be the popular Mathematica, and a comprehensive set of notebooks will be included on a book web site. While the emphasis will be on modern topics like factorization and primality testing techniques, there will be extensive coverage of traditional number theory. Among its features willbe lots of displayed computations, and the inclusion of many computer exercises for students. Editorial Reviews Review "The book presents the standard curriculum of a first course in number theory: the fundamental theorem of arithmetic, congruences, Fermat's theorem and Euler's generalization, primitive roots, facts about the distribution of primes, quadratic residues, Pell's equation and sums of squares. The proofs are constructive and the emphasis is on computing. Algorithms are given for GCD, solving linear congruences, factoring, primality testing, finding large primes, evaluating Jacobi symbols, computing square roots modulo a prime, finding continued fractions of quadratic irrationals, solving Pell's equation and expressing an integer as the sum of two squares. The diverse applications include repeating decimals, the RSA cipher, digital signatures, the Yao millionaire problem, check digits, the cattle problem of Archimedes and the crystal structure of salt. There is an excellent survey of many (probable) prime tests with Lucas sequences. The computer algebra system Mathematica is used throughout the book and summarized in an appendix. On nearly every page, Mathematica instructions illustrate algorithms and provide examples. An accompanying CD-ROM holds a rich assortment of Mathematica programs from the text. Three color plates display the power residues modulo small primes and the Gaussian primes reachable from $1+i$ in steps of bounded length."--MATHEMATICAL REVIEWS Most Helpful Customer Reviews I love the hardcover version of this book and was really excited to see I could get it on the kindle. It was the first thing I ordered and was the first big disappointment. The typesetting for the math equations makes many of them essentially unreadable with characters overstriking other characters, super and subscripts far from the characters they are super or subscripting, etc.. It appears to me that Amazon is probably using OCR technology that isn't handling this stuff well. Personally I think they should reimburse me for this poorly transcribed version of what is such a great book in the hardcover version although I'm not going to push it.
Choosing a First Course There are many options in studying mathematics at Wellesley. Students can begin with calculus (115 or 116), or an introduction to statistics (101), or a course to explore applications of mathematics without calculus (102). Students with an extensive background in mathematics may begin in upper level courses such as Linear Algebra (206), Combinatorics (225), or Number Theory (223). You can learn about our courses from the Wellesley College Course Catalog. The logical thinking and quantitative reasoning skills you gain in math classes are valuable in all fields, even if you do not end up using the particular course material that you learned. Calculus is not a required course at Wellesley College, but it is required for many majors, including economics and most pure and applied sciences. In addition, it is frequently required for admission to medical school. Every entering student is sent a brief placement questionnaire to assess precalculus and calculus skills. We use your placement questionnaire and your SAT scores (as well as your AP score, if applicable) to determine the calculus course that we believe is most appropriate for you. Letters are sent out in July with placement information. During First-Year Orientation we are available at "Advising Day" to answer any questions that you have. Our calculus placement FAQs may also be helpful. All mathematics courses satisfy the Mathematical Modeling requirement and the courses focusing on statistics also satisfy the Quantitative Reasoning Overlay requirement
Canvas Graphing Calculator Most first-year algebra curricula contain a unit on graphing on the Cartesian coordinate plane. Many students intially have some difficulty grasping the concept of representing algebraic equations visually, as it's a real paradigm shift from traditional arithmetic. Graphing calculators, both hardware and software, are helpful tools in the teaching process, as they allow learners to quickly and efficiently experiment with plotting equations, so they can understand how changes made in an equation affect the shape of the graph. In this section, we'll use HTML5 Canvas to implement a very basic graphing calculator for simple linear equations that can be embedded in algebra ebooks. Figure 1-2 displays the graphing calculator interface we'll create: a two-dimensional coordinate plane with x- and y-axes marked in red, and a set of buttons below for graphing linear equations on the grid.
books.google.co.jp - The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises throughout to aid the reader's understanding.This edition includes substantial new material in areas that include: tensor products,... algebra Abstract algebra The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises throughout to aid the reader's understanding. This edition includes substantial new material in areas that include: tensor products, commutative rings, algebraic number theory and introductory algebraic geometry. Also, includes rings of algebraic integers, semidirect products and splitting of extensions, criteria for the solvability. of a quintic, and Dedekind Domains Abstract Algebra ユーザーレビュー - John Lee - Goodreads My first algebra book, and definitely a good one. The exercises are a little too straightforward at times, and a little too tricky at times, but with a bit of guidance, all of them are very doable ...レビュー全文を読む Review: Abstract Algebra ユーザーレビュー - Waffles - Goodreads It's a math text, so I didn't enjoy reading it, but it is a good comprehensive overview of algebra. I'm glad this was the text for my algebra sequence.レビュー全文を読む
More About This Textbook Overview In the 19th century, the Fourier transformation was introduced to study various problems of partial differential equations. Since 1960, this old tool has been developed into a well-organized theory called microlocal analysis that is based on the concept of the pseudo-differential operator. This book provides the fundamental knowledge non-specialists need in order to use microlocal analysis. It is strictly mathematical in the sense that it contains precise definitions, statements of theorems and complete proofs, and follows the usual method of pure mathematics. The book explains the origin of the theory (i.e., Fourier transformation), presents an elementary construcion of distribution theory, and features a careful exposition of standard pseudodifferential theory. Exercises, historical notes, and bibliographical references are included to round out this essential book for mathematics students; engineers, physicists, and mathematicians who use partial differential equations; and advanced mathematics
If you select appropriate mathematics courses, then you are much more likely to do well. It is difficult, if not impossible, to succeed in a mathematics course if you do not have the right foundation. This information is provided to help you select the most appropriate mathematics course. 3. Survey of Mathematics (MA 105) addresses a variety of mathematics topics and is appropriate for students who do not have specific math requirements in their majors. The topics chosen rely less on a knowledge of Algebra. Math Code 3 or higher is required. 4. College Algebra (MA 110) is required by various majors. It provides you with the background needed for Pre-calculus and Business Calculus. Math Code 5 or higher is required. 5. Mathematical Concepts I; Patterns, Functions and Algebra for Teachers; and Mathematical Concepts II (MA 130, 131 and 132) have been designed for Education majors, but any student may enroll. This does not mean that grade-school math is taught. Teaching is a challenging profession and these courses seek to provide you with the theoretical background to understand and teach a wide array of mathematical topics. Math Code 5 or higher is required. 6. Statistics (MA 150) teaches you to make sense of data. This begins with a discussion of how to organize, summarize, analyze, and present data. Most of the course focuses on using data derived from samples to make inferences about populations. The concepts and procedures studied are applicable in such fields as Biology, Sociology, Psychology, Business and Economics. This course is required for several majors. Math Code 4 or higher is required. 7. Pre-calculus (MA 190) provides you with the background needed for Calculus I. You must take College Algebra first or have a Math Code 6 or higher. 8. First-Year Seminar (MA 193) if chosen by a first-year student, a Math Code 5 or higher is required. 9. Calculus I (MA 200) is required for Mathematics, Chemistry, Biotechnology, Biology and Computer Science majors. It is a rigorous course that requires a strong mathematics background. Math Code 7 is required. 10. Business Calculus (MA 202) requires a strong background in algebra. Calculus begins by addressing the issue of a rate of change. This can be anything from the rate of inflation to the rate at which an epidemic spreads. Since this course is required for Business majors, applications focus primarily on business and economics issues. You must take College Algebra first or have a Math Code 6 or higher. Accuplacer and Developmental Mathematics The Massachusetts Board of Higher Education requires testing of all state college and university students using the Accuplacer exam. You must either pass the Accuplacer Elementary Algebra test, pass Developmental Mathematics: Elementary Algebra (MA 099), before enrolling in any mathematics course. The Accuplacer exam is taken before building your college schedule. Many students do not want to take MA 098 or MA 099 because the credits do not count towards graduation. Often they will take a course that they are not prepared for at another institution and fail once, twice or even three times. With the necessary math background under their belts, they will be better prepared to succeed in their first college level math course. If you are not confident in your mathematical ability, you will most likely delay taking your math requirements. This also makes things more difficult, since your background becomes weaker if you have not practiced your math skills in years. Every student must complete a Math course within the first 60 credits. Don't delay!
Mathematica Basics (Spanish) This screencast helps you get started using Mathematica by introducing some of the most basic concepts, including entering input, understanding the anatomy of functions, working with data and matrix operations, and finding functions. Includes Spanish audio.
Product Description Key To Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple language and examples are easy to follow. Word problems relate algebra to familiar situations, helping students understand abstract concepts. Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced. Students begin their study of algebra in Books 1-4 using only integers. Books 5-7 introduce rational numbers and expressions. Books 8-10 extend coverage to the real number system. This kit contains only Books 1-10. Answers Notes for Books 1-4Books 5-7 and Books 8-10 are available separately, as well as the Key to Algebra Reproducible Tests. Product Reviews Key To Algebra, Books 1-10 4.7 5 6 6 Gentle introduction to Algebra I purchased this for my 10th grader who isn't strong in math. She loves that the books are self-explanatory and she can work them at her own pace. Whenever she comes across any difficulty, we sit and work it out together. I already see her confidence in math growing. October 21, 2013 concise and easy to follow i bought this set for my child who will be taking integrated algebra in the fall. unfortunately, we found this set to be too easy and elementary for my child. she's covered almost all of it in school this past year. These books weren't the right level for my child. However, Key To Algebra books are concise, easy to understand and follow. It is not overwhelming as Saxon books can be. There's plenty of reviews and problems to do to reinforce the concept learned in each "chapter" June 25, 2013 easy to use! I purchased this for my oldest son, who is now about to graduate. He did very well with it although book 4 was a little challenging. It is well written and easy to understand. I will be using it next year with my other son. I believe he will do very well with it. The only problem I have is that some times in the teachers guide, the answer is provided with no explaination as to how the answer is achieved. Since there were only a few like that we just skipped them. Other than that, it is great! I have recommended it to several of my homeschooling friends, and will continue to do so for years to come. April 23, 2012 I never had Algebra in school and never thought I could teach it! I was given your curriculum from an old homeschooler. The first day I looked at it I reviewed 1 and 1/2 books just to see if I could understand it, and I did! It gave me a new confidence teaching a subject I knew little about. Wow! Thank you key curriculum Press. October 12, 2005
Search This Blog Loading... Tuesday, May 8, 2012 Pathways Primer: MLCS, Statway, Quantway, Statpath The idea of new pathways through developmental math is a popular approach these days, especially for schools interested in redesign in ways outside of restructuring the traditional curriculum. However, there are many choices that are often used interchangeably. In so doing, it's easy to confuse the various pathways. First, all pathways courses use technology in some way to augment the course and develop skills. Second, all pathways courses are based in contextual, integrated content instead of linear, skill-based units that dominate developmental math. Word problems and problem solving are the norm. Skills are developed but only as a means to continue with problem solving. Let's explore the big 4 pathways in development currently. 1. Mathematical Literacy for College Students (MLCS) MLCS is a one-semester developmental course designed to take students who are at the beginning algebra level and give them the mathematical maturity to be successful in liberal arts math or statistics. It varies from 3 to 6 credit hours based on state and school curricular needs and requirements. It works under the assumption that the student is at the developmental level, and that the goal is college level by the end of the semester. There is a strong algebra component to the course, especially the development we are using in our book and course at my college. Our goal is to give students the option of taking intermediate algebra upon completion if they need to bridge to the STEM path. 2. Quantway Related but different than MLCS, Quantway is a one-semester developmental course that takes the student who is at the beginning algebra level and gets them ready for liberal arts math or statistics in one semester. It is usually a 3 or 4 credit hour course that students take in place of beginning algebra. It has the feel of a quantitative literacy course with college level problems and work. Any prerequisite knowledge is addressed just-in-time. Algebra is in limited quantities, just enough to complete any problems at hand. Students who change their major to a STEM field will need to take beginning algebra after Quantway. 3. Statway Statway is a two-semester integrated statistics course with developmental content addressed just-in-time. Students who place at the beginning algebra level qualify for the course. At the end of one year, students will have met their statistics requirement if their program of study has one. It is a statistics course done over one year, allowing the content to progress slower. Content is at the college level with developmental content woven in as needed. Algebra is in limited quantities, just enough to complete any problems at hand. Students who change their major to a STEM field will need to take beginning algebra after Statway. 4. Statpath Statpath is a one-semester developmental course covering descriptive statistics. It has no prerequisite. Content is at the college level with developmental topics covered just-in-time to continue progression through the material. Typically, it is a 6 credit hour course. Algebra is in limited quantities, just enough to complete any problems at hand. Students who change their major to a STEM field will need to take beginning algebra after Statpath. _____________ MLCS is not better than the other three, but it is different. All pathways support students moving through the developmental sequence differently and more quickly. However, students need to know their program of study and required college courses if they are to use Statway, Quantway, or Statpath to accelerate their sequence. Otherwise, they will need to take beginning algebra after the course if they have a STEM math requirement like college algebra. In developing MLCS at our school, we had the goal of giving students more options and a broader base in case they do change their mind. Another difference is philosophy. MLCS operates under the assumption that students are at the developmental level and need help, both mathematical and student-success oriented, to get to the college level by the end of the semester. The other pathways operate under the assumption that the student really can do college level content with the right support structures, be they more time or tailored instruction. Personally, I believe there is a small set of developmental students who could do college level content with support, but the majority of developmental students are not ready for the level of rigor and abstraction present with college level material. I chose to work on MLCS because I believe in the philosophy of helping a developmental student move from where they are to where they want to be in one semester. In terms of materials, Carnegie will have open source materials for Quantway and Statway within the next year. Schools who are under their grant structure are piloting those materials now. Myra Snell has written materials for Statpath. I am writing a text with a colleague, Heather Foes, for MLCS that will be published with Pearson. If you are interested in seeing materials and/or class testing them, please contact me. Other publishers have MLCS books in development as well. As for technology, Carnegie is developing their own programs, MyStatway and MyQuantway, to support their courses. We use MyMathLab with our course and it will accompany the text we are writing. ____________ There are many choices and ways of incorporating pathways. Your choice depends on your needs and goals. If you are interested in developing a version of MLCS and need assistance, workshops, or professional development, please contact me. Current Projects My main project is creating the Mathematical Literacy for College Students (MLCS) course in IL and beyond. It is similar to the first course in the Carnegie Quantway Initiative. This course is for a student placing into beginning algebra who is a non-STEM major. It incorporates numeracy, proportional reasoning, algebraic reasoning, functions, geometry, and statistics along with critical thinking, reading, writing, and problem solving. I am working with a colleague, Heather Foes, to pilot and co-author a book, Math Lit, which will be published by Pearson in July 2013. I am a member of AMATYC's New Life for Developmental Math that worked with the Carnegie Foundation to create the course and its objectives. I took the objectives and modified them slightly to be more acceptable in IL and started the process of bringing the course to life in IL. Additionally, I'm working with faculty throughout the country to modify the course to make it work for their state requirements and college needs. If you are interested in this course or some derivative of it, please email me. We have a successful developmental math redesign (documents available below) but felt not all students were served. The MLCS course adds another layer to the redesign and supports students who are not STEM-bound.
Math For Health Care Professionals Quick Review 9781401880057 ISBN: 1401880053 Pub Date: 2004 Publisher: Thomson Learning Summary: Math for Health Care Professionals Quick Review is perfect for the learner who needs a refresher on math concepts pertaining to health care. A quick review of concepts is included in each chapter and then there are numerous practice problems for the learner to solve and get reacquainted with the various math concepts. While the fundamentals of mathematics are foundational to this book, their application to health car...e is emphasized. Drug dosages, intake and output, weights and measures, temperatures, IV drip rates, and conversions are a focus. Illustrations of syringes, prescriptions, medication labels, IV bags, and I and O charts allow the reader to practice real-life health care skills requiring mathematics. Kennamer, Michael is the author of Math For Health Care Professionals Quick Review, published 2004 under ISBN 9781401880057 and 1401880053. Six hundred twenty four Math For Health Care Professionals Quick Review textbooks are available for sale on ValoreBooks.com, one hundred forty one used from the cheapest price of $0.01Math for Health Care Professionals Quick Review is perfect for the learner who needs a refresher on math concepts pertaining to health care. A quick review of concepts is inc [more] Math for Health Care Professionals Quick Review is perfect for the learner who needs a refresher on math concepts pertaining to health care. A quick review of concepts is included in each chapter and then there are numerous practice problems for the.[less]
Introductory Series has helped thousands of students succeed in developmental mathematics by providing the best learning and teaching support to students and instructors. With the new editions, the approachable writing and pedagogy, varied exercise sets, and robust ancillary resources have been updated. 3.1 Linear Equations in Two Variables; The Rectangular Coordinate System 3.2 Graphing Linear Equations in Two Variables 3.3 The Slope of a Line 3.4 Writing and Graphing Equations of Lines 3.5 Graphing Linear Inequalities in Two Variables 4. Systems of Linear Equations and Inequalities 4.1 Solving Systems of Linear Equations by Graphing 4.2 Solving Systems of Linear Equations by Substitution 4.3 Solving Systems of Linear Equations by Elimination 4.4 Applications of Linear Systems 4.5 Solving Systems of Linear Inequalities 5. Exponents and Polynomials 5.1 Adding and Subtracting Polynomials 5.2 The Product Rule and Power Rules for Exponents 5.3 Multiplying Polynomials 5.4 Special Products 5.5 Integer Exponents and the Quotient Rule 5.6 Dividing a Polynomial by a Monomial 5.7 Dividing a Polynomial by a Polynomial 5.8 An Application of Exponents: Scientific Notation 6. Factoring and Applications 6.1 Factors; The Greatest Common Factor 6.2 Factoring Trinomials 6.3 Factoring Trinomials by Grouping 6.4 Factoring Trinomials by Using the FOIL Method 6.5 Special Factoring Techniques 6.6 Solving Quadratic Equations by Factoring 6.7 Applications of Quadratic Equations 7. Rational Expressions and Applications 7.1 The Fundamental Property of Rational Expressions 7.2 Multiplying and Dividing Rational Expressions 7.3 Least Common Denominators 7.4 Adding and Subtracting Rational Expressions 7.5 Complex Fractions 7.6 Solving Equations with Rational Expressions 7.7 Applications of Rational Expressions 7.8 Variation 8. Roots and Radicals 8.1 Evaluating Roots 8.2 Multiplying, Dividing, and Simplifying Radicals 8.3 Adding and Subtracting Radicals 8.4 Rationalizing the Denominator 8.5 More Simplifying and Operations with Radicals 8.6 Solving Equations with Radicals 9. Quadratic Equations 9.1 Solving Quadratic Equations by the Square Root Property 9.2 Solving Quadratic Equations by Completing the Square 9.3 Solving Quadratic Equations by the Quadratic Formula 9.4 Graphing Quadratic Equations 9.5 Introduction to Functions Marge Lial became interested in math at an early age—it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. She was particularly interested in archeology; trips to various digs and ruin sites produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan. We dedicate the new editions of the paperback developmental math series to Marge in honor of her contributions to the field in which she helped thousands of students succeed. When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. JohnA native Midwesterner, Terry McGinnis received her Bachelor's of Science in Elementary Education with a concentration in Mathematics from Iowa State University. She has taught elementary and middle school mathematics, and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 20 years, working with a variety of authors on textbooks in developmental mathematics and precalculus. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for over 10 years, Terry joined Margaret Lial and John Hornsby in 2002 as coauthor of their developmental mathematics series that includes Introductory Algebra, Intermediate Algebra, and Introductory and Intermediate Algebra. When not working, Terry enjoys spinning at a local health club, walking, and reading fiction. She is the devoted mother of two sons, Andrew and Tyler.
Pre-algebra Pre-algebra Pre-algebra is a common name for a course in elementary mathematics. In the United States, it is typically taught between the seventh and ninth grades, although students have taken this course as early as fifth grade and sixth grade. The objective of pre-algebra is to prepare the student to the study of algebra.
Advanced Engineering Mathematics for an Amazon.co.uk gift card of up to £0.60, which you can then spend on millions of items across the site. Trade-in values may vary (terms apply). Learn more Book DescriptionI bought both of these books while I was doing my A level Maths and am still using them while in second year Honours Degree Maths. I do buy other books as well which take the subject further but I invariably find that I always come back to these two wonderful books. My view is if you are an engineering student working to a budget; if you only buy two books ever, you'll not go wrong with these two i am reading for a degree in Infortmation Technology Engineering, after 8 years of working and no studying I needed a quick crash course in advanced mathematics to bring me up to speed with the other students in my course... these books were suggested to me by a friend... what can i say... i never studied advanced mathematics and by simply (and patiently) studying these two books well i excel in maths compared to the other students... these books are THE BEST books in maths you'll ever come across... especially if like me you want to teach yourself... I am a second year Aeronautics student and I highly recommend this book. The best bit about the book is that all steps in calculations are included so you don't get lost which can be a problem in other text books. The work is set out in a well ordered way, broken down into many sections with constant exercises, tests and reviews. This allows you to follow methods of working step by step from easy examples to the much harder examples (the ones you need for the exams) and also makes each chapter quick to work through and understand. It really is all you could want in a maths text book. To anyone who is about to undertake, or is indeed in the middle of any engineering degree, this book is a must. Like its sister book, Engineering Mathematics also by Stroud, the layout and style are cleverly designed to keep you working through the chapters. Don't do engineering without a copy. I can wholeheartedly say that Stroud's series (Engineering Mathematics and Advanced) helped ensure a good grade for my mathematics modules for my first year in Electrical/Electronic Engineering. It treats topics very systematically, gives summaries and tables, which are especially useful for those mechanical math techniques such as in integration, they are listed in a way so you can use it for quick reviews later as well. It explains concepts with good detail without being tediously daunting to read, it achieves what very few math books (in my experience) are able to. Advanced Engineering mathematics is helpful for some of the basic mathematical topics in 2nd year too, for instance Vector Calculus (Divergence thm., Curl etc), Z transforms , some of COnformal Mappings, Complex Integration etc. It would be great if Stroud produced another version with the more advanced mathematical concepts and one for advanced statistics. In any case if you are in your first two years as an Undergraduate in any Engineering course, this series is a must-have! I was advised to buy Engineering mathmatics as part of my 1st year physics course and have since not had to buy another maths related text book other than Advanced engineering mathmatics. Both books cover every area of maths i have so far needed. i even find i can teach myself stright out the book with no prior knowledge. excellent Advanced Engineering Mathematics is the second of Ken Stroud's books. It again takes the programmed study approach used in the first book (Engineering Mathematics), and is aimed principally at the second year of undergraduate engineering courses, although some topic areas could equally be found in A level and HNC/HND mathematics courses. My opinion? Quite simply absolutely excellent! Engineering Mathematics and Advanced Engineering Mathematics by Ken Stroud are just about all you will need for an engineering degree course to deal with any problems you will have with the principal areas of the mathematics. Remember, I have been where you are (or are going) and you can take it from me, these books are not only an investment but almost certainly the best mathematics books you will ever own. They will pay for themselves time and time again when you hit the mathematical wall! There are some similar books around these days, but these books are the real McCoy. To be without them on an undergraduate engineering degree course is simply unthinkable. It would be like cutting your own throat mathematically speaking! GET THEM!! I guarantee you will not regret it. A note to the authors and editor of these books....thank you for making mathematics a joy to learn. Your books are a major contributing factor in my degree success, and the success of countless thousands of other post and undergraduates alike. Thank you for making the effort to make mathematics a topic we can all enjoy, learn, and succeed in. I didn't take A-level maths, but convinced my university to let me take Engineering anyway because my Physics grades were good. Anyway, the my lectures required that I read these books (Engineering Mathematics and Advanced Engineering Mathematics) because with my background I was 'at risk' of not being able to complete the course, so I went right through both of them from cover to cover. The books go from the most simple Algebra all the way through to Complex Integration and Non-Linear optimisation. The books are unique in that they make it so easy to progress from one subject to the next in a gentle step-wise manner. The non-nonsense, clear style stopped mathematics feeling like a stuffy and in-penetrable subject. I said that this was the best investment you'll ever make, that's because I picked up both of these books for £60 new. Without this material, I would not have a first-class engineering degree or a lucrative career writing scientific software. I still use the information I learned from these books on a daily basis. Warning: Owning these books is not a silver bullet. You have to be committed to work through them end to end including using the examples.
Syllabus Document Actions This course is an introduction to mathematical ideas and techniques that are useful in understanding and solving problems arising in economics and business. Mathematical concepts are introduced through interesting business problems. Using available computer technology, real life problems, which maylead to non-trivial computations and graphs, are considered. Topics include integration, differential equations, Taylor polynomial approximations, unconstrained and constrained optimization for functions of several variables, probability and statististics, with interesting real-life applications throughout. Course Description This course is an introduction to mathematical ideas and techniques that are useful in understanding and solving problems arising in economics and business. Mathematical concepts are introduced through interesting business problems. Using available computer technology, real life problems, which may lead to non-trivial computations and graphs, are considered. Topics include integration, differential equations, Taylor polynomial approximations, unconstrained and constrained optimization for functions of several variables, probability and statistics, with interesting real-life applications throughout. Course Objectives Upon completion of this course you should have learned the basic calculus ideas and techniques that are useful in understanding and solving problems arising in economics and business. It will enhance problem solving skills, critical thinking, rational decision making and appreciation for mathematics. Our major goals include: Students will be able to identify and explain fundamental principles and theories in calculus and its applications to business. Students will be able to identify connections between mathematical ideas and life experiences. Students will be able to express ideas and arguments clearly and persuasively. Students will be able to analyze, question and evaluate ideas, assumptions, arguments and points of view. Students will be able to apply ideas, theories, principles, and concepts in new contexts and situations, and solve real world problems that are quantitative in nature. Understanding mathematical symbols and formulas. Learn how to read and understand mathematical symbols and formulas and to be able to express thoughts in symbols and equations. Realize that each formula expresses a precise and clear relation between the variables involved. It is often said, that the best way for clarifying one's thoughts is to put them into an equation. Equations are not there to be memorized but to be understood. In many situations they form the bridge between mathematics and our world. Emphasizing conceptual learning. For example, understanding the definite integral as expressing total change by summing up instantaneous change is fundamental for being able to use it. More importantly, by learning the fundamental concepts you are able to understand that there is a commonality in the world of mathematics and there are connections. There are fundamental concepts (like the integral) from which many others are derived (like future and present value of income streams and the producer and consumer surplus). This learning helps you see the big picture of mathematics and its connections to our world. Learning modeling skills. They include describing the situation under consideration clearly, translating appropriate aspects into equations using suitable variables, symbols, and mathematical concepts, and interpreting possible mathematical solutions in terms of the original process. Models should be thought as approximations of real situations and as such require continuous adjustments. Making connections. We stress the connections between mathematics and modern society by considering a wide variety of problems ranging from environmental and economic issues to social and political situations that can be modeled and solved by mathematical means. Take advantage of this opportunity to make your own connections between the mathematics considered in the class and your other courses and consider working on a special project that exploits your own interests and expertise. Required Textbooks Other Reading Activities and Technology manual Grading Component Points 600 Mid-terms (3) 300 Final Exam 150 Quizzes 50 Homework 80 Participation 20 Honor Code Examinations, homework and quizzes are conducted under the honor code. While collaboration in small groups in doing homework is permitted (and strongly encouraged) in this course, copying is not. In particular, copying from the Student Solutions Manual is a violation of the Honor Code. Exams are closed book and are to be done completely by yourself with no help from others. Homework Homework problems are assigned daily. You are encouraged to work on homework problems in groups, but the assignments must be turned in individually. Remember that you will not learn anything by simply copying another student's work or the Student Solutions Manual. The main purpose of the homework is to help you learn the material and assess yourself. Experience shows that students who take their homework seriously do very well in the course because they have a better understanding of the material. Project The goal of these projects is to give students the opportunity to make their own connection between mathematics and modern society by considering a wide variety of problems ranging from economic and environmental issues to social and political situations that can be modeled and solved by mathematical means. They will help students establish connections between Math 10260 and other courses. In addition, they will provide students with an opportunity to interact and collaborate with classmates. Please read project rules and the project options open to you.
Becoming a MATIZEN New to Math Planet ? Become a MATIZEN today, and you can enjoy all the benefits of a premium membership including free newsletter and special problem solving service. What is Math Planet ? Still not a MATIZEN ? Then let us tell you all the best that Math Planet has to offer ! A Crash Course on Algebra Algebra is the one of the basic knowledges that a MATIZEN has to master. Don't worry if you aren't the person who excels in Algebra. We will teach you to be one. A Crash Course on Geometry Geometry is another one of the basic knowledges that a MATIZEN has to excel in. We will tell you exactly how to achieve that goal. Advanced Math Topics Haven't had enough excitment ? Come and try some advanced math topics. They will sure be tough challenges for you. And we will teach how to beat those challenges smartly. Customized Lessons Think that Math Planet is too general ? Try our customized lessons for each individual. You will soon find a way of learning that is just right for you. SAT & ACT Reviews Will soon be taking SAT & ACT ? We will take you step by step through the math sections on those standardized tests, and we will give you the tips to achieve high scores. Math Games Tired from being doing math all the time ? We have the just the right place where you can go. Come in and play a few math challenging games. While you are having fun, you are still learning a great deal. Math Discussion Forum Having a problem you can't solve. Try our math discussion forum. You can post your problem on our electronic bulletting board, and people around the world will help you to solve it. Math Live! Chat Want to talk to other MATIZENs or just the people who are interested in math ? Then join our live math chat. You will be different through communicating with people. Math Search Still want to know more about math ? You can search the ocean of knowledge-the World Wide Web-for more. MATIZEN Qualification Test Want to see if you are truely a MATIZEN ? Take this test, and see if you are qualified. Acknowledgements Math Planet wants to thank all the people who have supported us. This section is dedicated just for them. The Creatures Behind the Math Planet Still don't know who "we" are ? Then let us have a late introduction of the "Creatures" behind the Math Planet. August 31, 1998 Math Planet is ready to launch. It will provide a whole new way for learning math online. August 20, 1998 Math Planet has entered its finalizing stage, and it's ready for launch. August 8, 1998 Vestavia Hills High School again have won first place in Mu Alpha Theta national convention Math on the Web For your convenience, Math Planet has built a collection of math related web sites. This collection is always updated. Below are some highlights:
TI-73 explorer brings graphing to students in grades 6-8. This is a great introduction to graphing calculators and the things they can do, not just in math class. It supports data collection with the CBR and CBL 2 accessories. Once the data is gathered it will analyze the data and plot patterns. The TI-GRAPH LINK cable allows the student to interface with their computer for expanded capabilities. You can also use the cable to update the operating system and software. The classroom kit includes 10 calculators, 10 unit to unit cables, a poster and a transparency explaining the features, guidebooks, batteries and a resource CD Texas Instruments TI-73
Summary: CONTEMPORARY MATHEMATICS FOR BUSINESS AND CONSUMERS, BRIEF is a 14-chapter educational adventure into today's business world and its associated mathematical procedures. The book is designed to provide solid mathematical preparation and foundation for students going on to business courses and careers. It begins with a business-oriented review of the basic operations, including whole numbers, fractions, and decimals. Once students have mastered these operations, they a...show morere introduced to the concept of basic equations and how they are used to solve business problems. From that point, each chapter presents a business math topic that utilizes the student's knowledge of these basic operations and equations. In keeping with the philosophy of "practice makes perfect," the text contains over 2,000 realistic business math exercises--many with multiple steps and answers designed to prepare students to use math to make business decisions and develop critical-thinking and problem-solving skills. Many of the exercises in each chapter are written in a "you are the manager" format, to enhance student involvement. The exercises cover a full range of difficulty levels, from those designed for beginners to those requiring moderate to challenge-level Mathematics for Business and Consumers, Brief Edition - With CD:Sorry, CD missing
Both these subjects include concepts of Discrete Mathematics such as combinatorocs, probability, in different levels, set theory etc in different levels. They are math subjects that are relatively more related with everyday life. I have taught Differential Equation courses many times and lately I had it as a math course in my Master's program
we will look at one of the standard topics in any Algebra class. The ability to solve equations and/or inequalities is very important and is used time and again both in this class and in later classes. We will cover a wide variety of solving topics in this chapter that should cover most of the basic equations/inequalities/techniques that are involved in solving.
There has been a long standing debate between two camps in the mathematics education world. Should the focus of instruction be on procedural competency or conceptual understanding? The National Research Council brought together these two perspectives on math with a focus on elementary and secondary education. They produced a document entitled: Adding it Up. (NRC, 2001). The document defines what is meant by math proficiency. According to this document, mathematical proficiency has five interwoven strands: productive disposition—habitual inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and one's own efficacy. Although aimed at K-12 math educators can easily come up with examples in the algebra or advanced areas of math. Tutorials Carnegie Learning, Inc. (2004). The Cognitive Tutor. A well developed algebra tutorial and instructional system is available from Carnegie Learning. It is called The Cognitive Tutor. A Spanish version of the system also exists. See The Cognitive Tutor Algebra I curriculum is based on 20 years of research at Carnegie Mellon University into the strategies students use to solve algebra problems.
Mathematical modeling is used throughout this text to motivate students and to introduce them to mathematical ideas. It provides students with practice using important concepts and methods, as well as opportunities to experience the power of mathematics and its applications in the real world. Features Data analysis techniques connect Precalculus ideas and modeling teachings so students can analyze more realistic applications.
Product Details What You Can Do with Student Version MATLAB MATLAB is a high-level language and interactive environment that lets you focus on your course work and applications, rather than on programming details. It enables you to solve many numerical problems in a fraction of the time it takes to write a program in a lower-level language such as Java, C, C++, or Fortran. You can also use MATLAB to analyze and visualize data using automation capabilities, thereby avoiding the manual repetition common with other products. Programming and developing algorithms is faster with MATLAB than with traditional languages because MATLAB supports interactive development without the need to perform low-level administrative tasks, such as declaring variables and allocating memory. Thousands of engineering and mathematical functions are available, eliminating the need to code and test them yourself. At the same time, MATLAB provides all the features of a traditional programming language, including arithmetic operators, flow control, data structures, data types, object-oriented programming, and debugging features. MATLAB helps you better understand and apply concepts in a wide range of engineering, science, and mathematics applications, including signal and image processing, communications, control design, test and measurement, financial modeling and analysis, and computational biology. Add-on toolboxes, which are collections of task- and application-specific MATLAB functions, add to the MATLAB environment to solve particular classes of problems in these application areas. With over one million users, MATLAB is recognized as a standard tool for increasing the productivity of engineers and scientists. Employers worldwide consistently report the advantages of being MATLAB proficient. Differences in Student Version The MATLAB in Student Version provides all the features and capabilities of the professional version of MATLAB software, with no limitations. There are a few small differences between the Student Version interface and the professional version of MATLAB: The MATLAB prompt in Student Version is EDU>> Printouts contain this footer: Student Version of MATLAB Platform support for Student Version may differ from that of the professional version. See system requirements for details. Simulink You can use Simulink for modeling, simulating, and analyzing dynamic systems, including controls, signal processing, communications, and other complex systems. It supports linear and nonlinear systems, modeled in continuous time, sampled time, or a hybrid of the two. Systems can also be multirate, that is, they can have different parts that are sampled or updated at different rates. Simulink encourages you to try things. You can easily build models from scratch, or take an existing model and add to it. You have instant access to all the MATLAB analysis tools, so you can take the results and analyze and visualize them. A goal of Simulink is to give you a sense of the fun of modeling and simulation through an environment that encourages you to pose a question, model it, and see what happens. Simulink provides built-in support for prototyping, testing, and running models on low-cost target hardware, such as Arduino, LEGO MINDSTORMS NXT, and Raspberry Pi. You can design algorithms in Simulink for control systems, robotics, audio processing, and computer vision applications and see them perform with hardware. Simulink is used widely in industry for multiple modeling domains, and it includes tools for design, implementation, verification, and validation. Around the world, thousands of engineers and scientists rely on Simulink for modeling and simulating complex systems, rapidly prototyping concepts, and deploying code to production hardware; learning Simulink will serve you well throughout your professional career. Differences in Student Version The Simulink in Student Version provides the full functionality of the professional version of Simulink, with the following differences: Models (including the blocks in referenced models) are limited to 1000 blocks. Accelerator and Rapid-Accelerator simulation modes are not available in Student Version. Model blocks can be used in Normal mode only. Printouts contain this footer: Student Version of MATLAB. Platform support for Student Version may differ from that of the professional version. See system requirements for details. Included Add-On Products Student Version includes 10 add-on products that add to MATLAB and Simulink, so you have virtually all the tools you will need for most basic courses in engineering, applied mathematics, science, and finance: Examples and Evaluation Software Student Version includes many product examples that highlight features and include sample code. It also includes an evaluation version of Stateflow that lets you edit and run Simulink models. You can use Stateflow to design and simulate state machines and control logic. However, the evaluation version does not let you save models. Obtaining Additional MathWorks Products Many college courses recommend MATLAB and Simulink products as standard instructional software. In some cases, the courses may require particular toolboxes, blocksets, or other products that are not included with Student Version. You may purchase and download these additional products at special student prices from the MathWorks Store. Note: The additional toolboxes and blocksets that are available for use with Student Version have the same functionality as the professional version, with the exception of SimMechanics software, which has a 20-body limitation. The student versions of the toolboxes and blocksets will work only with MATLAB and Simulink Student Version. Similarly, the professional versions of these toolboxes and blocksets do not work with Student Version.
Book Description: This is a reference book for students of mathematics which gives definitions and clear explanations of all the terms they are likely to meet. It covers the concepts and terminology of all topics that feature in the A-level syllabus, the first year of degree level courses and teacher training courses. The book also includes entries which are concerned with important mathematics of more general interest, and short biographical sketches of the great mathematicians
More About This Textbook Overview The book discusses classical Galois theory in considerable generality, treating fields of characteristic zero and of positive characteristic with consideration of both separable and inseparable extensions, but with a particular emphasis on algebraic extensions of the field of rational numbers. While most of the book is concerned with finite extensions, it discusses algebraic closure and infinite Galois extensions, and concludes with a new chapter on transcendental extensions. Key topics and features of this second edition: - Approaches Galois theory from the linear algebra point of view, following Artin; - Presents a number of applications of Galois theory, including symmetric functions, finite fields, cyclotomic fields, algebraic number fields, solvability of equations by radicals, and the impossibility of solution of the three geometric problems of Greek antiquity. Review from the first edition: Zentralblatt MATH, Vol. 1089 (15), 2006) Steven H. Weintraub is a Professor of Mathematics at Lehigh University and the author of seven books. This book grew out of a graduate course he taught at Lehigh. He is also the author of Algebra: An Approach via Module Theory (with W. A. Adkins). Editorial Reviews From the Publisher From the reviews:Werner Kleinert, Zentralblatt MATH, Vol. 1089 (15), 2006) From the reviews of the second edition: "The book is a valuable reference, covering many more topics than most of the standard books on the subject." (Mowaffaq Hajja, Zentralblatt MATH, Vol. 1195, 2010) Related Subjects Meet the Author Steven H. Weintraub is a Professor of Mathematics at Lehigh University and author of seven books. This book grew out of a graduate course he taught at Lehigh. He is also the author of Algebra: An Approach via Module Theory (with W. A. Adkins). Table of Contents Introduction to Galois Theory.- Field Theory and Galois Theory.- Development and Applications of Galois Theory.- Extensions of the Field of Rational Numbers.- Further Topics in Field Theory.- Transcendental Extensions.- A. Some Results from Group Theory.- B. A Lemma on Constructing Fields.- C. A Lemma from Elementary Number Theory
Syllabus Of Combined Defence Services Examination English The question paper will be designed to test the candidates' understanding of English and use of words. General Knowledge General Knowledge, including knowledge of current events and such matters of everyday observation and experience in their scientific aspects as may be expected of an educated person who has not made a special study of any scientific subject. The paper will also include questions of History of India and Geography of a nature which candidates should be able to answer without special study. Elementary Number Theory: Algebra: Basic operations, simple factors, Remainder Theorem, H.C.F., L.C.M., Theory of Polynomials, Solutions of quadratic equations, relation between its roots and coefficients (only real roots to be considered). Simultaneous linear equations in two unknowns-analytical and graphical solutions. Simultaneous linear in-equations in two variables and their solutions. Practical problems leading to two simultaneous linear equations or in-equations in two variables or quadratic equations in one variable and their solutions. Set language and set notation, Rational expressions and conditional identities, Laws of indices. Geometry: Lines and angles, Plane and plane figures. Theorems on: 1. Properties of angles at a point 2. Parallel lines 3. Sides and angles of a triangle 4. Congruency of triangles 5. Similar triangles 6. Concurrence of medians and altitudes 7. Properties of angles, sides and diagonals of a parallelogram, rectangle and square 8. Circle and its properties, including tangents and normals 9. Loci. Mensuration: Areas of squares, rectangles, parallelograms, triangle and circle. Areas of figures, which can be split up into the figures (Field Book). Surface area and volume of cuboids, lateral surface and volume of right circular cones and cylinders. Surface area and volume of spheres.
Precalculus with Limits A Graphing Approach - Cengage Learning. Cengage learning products are represented in Canada by Nelson Education, Ltd . For your course Chapter 2 Polynomial and Rational Functions 91. 2.1 Quadratic 10.3 The Cross Product of Two Vectors 757. Students find extra support in a number of special supplements that reinforce concepts by a solution key. Precalculus with Limits: A Graphing Approach - Holt McDougal. real-life relevance of mathematical concepts, and concise chapter includes test items, Student Success Organizer worksheets, and solutions to suggest that for every 10¢ number of 10¢ decreases in price. conic section and to find its
The main goal of this project is to improve student understanding of the geometric nature of multivariable calculus concepts,... see more The main goal of this project is to improve student understanding of the geometric nature of multivariable calculus concepts, i.e., to help them develop accurate geometric intuition about multivariable calculus concepts and the various relationships among them.To accomplish this goal, the project includes four parts:· Creating a Multivariable Calculus Visualization applet using Java and publishing it on a website: web.monroecc.edu/calcNSF· Creating a series of focused applets that demonstrate and explore particular 3D calculus concepts in a more dedicated way.· Developing a series of guided exploration/assessments to be used by students to explore calculus concepts visually on their own.· Dissemination of these materials through presentations and poster sessions at math conferences and through other publications.Intellectual Merit: This project provides dynamic visualization tools that enhance the teaching and learning of multivariable calculus. The visualization applets can be used in a number of ways:- Instructors can use them to visually demonstrate concepts and verify results during lectures.- Students can use them to explore the concepts visually outside of class, either using a guided activity or on their own.- Instructors can use the main applet (CalcPlot3D) to create colorful graphs for visual aids (color overheads), worksheets, notes/handouts, or tests. 3D graphs or 2D contour plots can be copied from the applet and pasted into a word processor like Microsoft Word.- Instructors will be able to use CalcPlot3D to create lecture demonstrations containing particular functions they specify and/or guided explorations for their own students using a scripting feature that is being integrated with this applet.The guided activities created for this project will provide a means for instructors to get their students to use these applets to actively explore and "play" with the calculus concepts.Paul Seeburger, the Principal Investigator (PI) for this grant project, has a lot of experience developing applets to bring calculus concepts to life. He has created 100+ Java applets supporting 5 major calculus textbooks (Anton, Thomas, Varberg, Salas, Hughes-Hallett). These applets essentially make textbook figures come to life. See examples of these applets at Impacts: This project will provide reliable visualization tools for educators to use to enhance their teaching in calculus and also in various Physics/Engineering classes. It is designed to promote student exploration and discovery, providing a way to truly "see" how the concepts work in motion and living color. The applets and support materials will be published and widely disseminated through the web and conference presentationsThis provides a summary of most of the units of measurement to be found in use around the world today(and a few of historical... see more This provides a summary of most of the units of measurement to be found in use around the world today(and a few of historical interest), together with the appropriate conversion factors needed to change theminto a 'standard' unit of the S I.The units may be found either by looking under the category in which they are used [such as length, mass,density, energy etc.], or else by picking one unit from an alphabetically ordered list of units. There are NOunits of currency.There is an outline of the S I; a list of its basic defining standards and also some of itsderived units; then another list of all the S I prefixes and some notes on conventions of usage.There is ashort historical note on measures generally; descriptions of the Metric system, the U K (Imperial) systemwith a statement on the implementation of 'metrication' in the U K, and the U S system.Finally there is a listof other sources concerned with the topic of measures and units (including other Web sites) and also somenotes about this document
Book summary Adopting a user-friendly, conversationaland at times humorousstyle, these authors make the principles and practices of discrete mathematics as stimulating as possible while presenting comprehensive, rigorous coverage. Examples and exercises integrated throughout each chapter serve to pique reader interest and bring clarity to even the most complex concepts. Above all, the book is designed to engage today's readers in the interesting, applicable facets of modern mathematics. More than 200 worked examples and problems, as well as over 2500 exercises are included. Full solutions are provided in the back of the book. More than 150 Pausesshort questions inserted at strategic pointsare included. Full solutions to Pauses are included at the end of each section. For educators in area of discrete mathematics. [via]
Single Variable Calculus Plus MyMathLab -- Access Card Package Description This package consists of the textbook plus an access kit for MyMathLab/MyStatLab. Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher's voice beyond the classroom. That voice–evident in the narrative, the figures, and the questions interspersed in the narrative–is To further support student learning, the ebook for the text features Interactive Figures that can be manipulated to shed light on difficult-to-convey concepts. MyMathLab provides a wide range of homework, tutorial, and assessment tools that make it easy to manage your course online. Table of Contents Chapter 1: Functions 1.1 Review of Functions 1.2 Representing Functions 1.3 Trigonometric Functions and Their Inverses Chapter 2: Limits 2.1 The Idea of Limits 2.2 Definitions of Limits 2.3 Techniques for Computing Limits 2.4 Infinite Limits 2.5 Limits at Infinity 2.6 Continuity 2.7 Precise Definitions of Limits Chapter 3: Derivatives 3.1 Introducing the Derivative 3.2 Rules of Differentiation 3.3 The Product and Quotient Rules 3.4 Derivatives of Trigonometric Functions 3.5 Derivatives as Rates of Change 3.6 The Chain Rule 3.7 Implicit Differentiation 3.8 Derivatives of Inverse Trigonometric Functions 3.9 Related Rates Chapter 4: Applications of the Derivative 4.1 Maxima and Minima 4.2 What Derivatives Tell Us 4.3 Graphing Functions 4.4 Optimization Problems 4.5 Linear Approximation and Differentials 4.6 Mean Value Theorem 4.7 L'Hôpital's Rule 4.8 Antiderivatives Chapter 5: Integration 5.1 Approximating Areas Under Curves 5.2 Definite Integrals 5.3 Fundamental Theorem of Calculus 5.4 Working with Integrals 5.5 Substitution Rule Chapter 6: Applications of Integration 6.1 Velocity and Net Change 6.2 Regions Between Curves 6.3 Volume by Slicing 6.4 Volume by Shells 6.5 Length of Curves 6.6 Physical Applications 6.7 Logarithmic and Exponential Functions Revisited 6.8 Exponential Models Chapter 7: Logarithmic and Exponential Functions 7.1 A Short Review 7.2 Inverse Functions 7.3 The Natural Logarithm 7.4 The Exponential Function 7.5 Exponential Models 7.6 Inverse Trigonometric Functions 7.7 L'Hôpital's Rule Revisited and Growth Rates of Functions Chapter 8: Integration Techniques 8.1 Integration by Parts 8.2 Trigonometric Integrals 8.3 Trigonometric Substitutions 8.4 Partial Fractions 8.5 Other Integration Strategies 8.6 Numerical Integration 8.7 Improper Integrals 8.8 Introduction to Differential Equations Chapter 9: Sequences and Infinite Series 9.1 An Overview 9.2 Sequences 9.3 Infinite Series 9.4 The Divergence and Integral Tests 9.5 The Ratio and Comparison Tests 9.6 Alternating Series Review Chapter 10: Power Series 10.1 Approximating Functions with Polynomials 10.2 Power Series 10.3 Taylor Series 10.4 Working with Taylor Series Chapter 11: Parametric and Polar Curves 11.1 Parametric Equations 11.2 Polar Coordinates 11.3 Calculus in Polar Coordinates 11.4 Conic Sections Purchase Info ISBN-10: 0-321-66524-4 ISBN-13: 978-0-321-66524-9 Format: Alternate Binding $130.00 We're temporarily out of stock, but order now and we'll send it to you later.
Cambridge General Mathematics Year 11 is written by experienced teachers to address the new syllabus for this new course. Along with a focus on mathematical fundamentals, the authors have treated the course strands according to their relative emphasis in the syllabus and integrated the use of technology into each topic. Each chapter features an outline of the topics to be covered, appropriate and clearly written explanations of the coursework as well as detailed examples followed by carefully graded exercises at three levels. A summary completes each chapter. Investigations appropriate to the topic area are interspersed throughout. Cyclic revision exercises linked to the topics are featured after every three chapters. CAMBRIDGE UNIV. PRESS ISBN-10: 0521643783 ISBN-13: 9780521643788 PGS: N/A List: 30.65YOUR PRICE: 30.65 Cambridge General Mathematics Year 12 Alice Thomas, Michael Brown, Norman Fish 2000 Cambridge General Mathematics Year 12 completes a series of books written by experienced teachers to guide students and teachers through the new NSW mathematics curriculum. The material presented is suited to the full range of student abilities encountered in General Mathematics. The course strands are treated according to their relative emphasis in the NSW syllabus and include: financial mathematics; data analysis; measurement; probability; and algebraic modelling. Each chapter commences with an outline of the material to be covered together with modelling applications and suggested technology use. A summary for learning and understanding, together with revision exercises, complete each chapter. Investigations appropriate to each topic area are interspersed throughout each chapter along with graphics calculator and computer spreadsheet applications of the coursework. CAMBRIDGE UNIV. PRESS ISBN-10: 0521643775 ISBN-13: 9780521643771 PGS: N/A List: 27.00YOUR PRICE: 27.00 Cambridge HSC General Mathematics Study Guide Jim Stamell 2005 The Cambridge General Mathematics Study Guide is designed to assist students to conduct a thorough topic-by-topic review of concepts and techniques from both the Preliminary and HSC Mathematics courses. It encourages students to apply their knowledge and skills to solve a variety of problems. Each chapter is devoted to a single topic area and comprises: * a summary of the topic content arranged under subheadings; * worked examples which illustrate the application of this content to problem solving and the appropriate setting out of mathematical working; * a set of graded exercises for students to test their understanding and practise their skills, with worked solutions provided; * a more substantial set of graded further exercises for consolidation, with outline solutions provided. Finally, a set of two Practice papers is included. Each of the papers follows the format of the HSC examination paper for Mathematics. This companion text to Essential Advanced General Mathematics (2nd edition) contains fully worked solutions to a large and representative selection of the analysis and application questions contained in the text book. The graphics calculator is featured in the solutions where ever this is appropriate. Full diagrams, graphs and tables relevant to the solutions are included in all cases. CAMBRIDGE UNIV. PRESS ISBN-10: 0521665221 ISBN-13: 9780521665223 PGS: N/A List: 21.00YOUR PRICE: 21.00 Essential Advanced General Mathematics Third Edition with Student CD-Rom With CD, 3rd Ed. Essential Advanced General Mathematics is designed to meet the specific needs of those students who intend to proceed to Mathematical Methods 3&4 or a combination of Mathematical Methods 3&4 with Specialist Mathematics. It features content that fully addresses the key knowledge and skills outcomes in the 2000 Mathematics Study Design. A graphics calculator supplement supported by graphics calculator questions and exercises is also featured. Students will benefit from the rich mixture of analysis exercises, multiple choice questions, applications and projects, as well as the regular revision chapters. CAMBRIDGE UNIV. PRESS ISBN-10: 0521664497 ISBN-13: 9780521664493 PGS: N/A List: 23.00YOUR PRICE: 23.00 Essential General Mathematics Solutions Supplement Sue Avery 2000 This companion text to Essential General Mathematics (3rd edition) contains fully worked solutions to a large and representative selection of the analysis and application questions contained in the text book. The graphics calculator (TI 81/82/83) is featured in the solutions where ever this is appropriate. Full diagrams, graphs and tables relevant to the solutions are included in all cases. CAMBRIDGE UNIV. PRESS ISBN-10: 0521775647 ISBN-13: 9780521775649 PGS: N/A List: 24.00YOUR PRICE: 24.00 Essential General Mathematics with CD-Rom book and CD ROM, 3rd Ed. Peter Jones, Kay Lipson, David Main, Bar 1999 The third edition of Essential General Mathematics incorporates suggestions from teachers as well as the requirements of the Mathematics Study Design. It fully addresses the key skills and knowledges detailed in the course outcomes in a structure that offers flexibility in planning an appropriate course of study to meet the needs of the diverse student group studying General Mathematics. The text includes new questions and exercises to cover all areas relating to graphics calculators. Analysis questions in each chapter ensure that students are thoroughly prepared for examinations. There are also regular revision chapters to ensure each subject is understood. CAMBRIDGE UNIV. PRESS ISBN-10: 0521779324 ISBN-13: 9780521779326 PGS: N/A List: 27.00YOUR PRICE: 27.00 Essential Standard General Maths First Edition Solution Supplement Sue Avery 2006 CAMBRIDGE UNIV. PRESS ISBN-10: 0521612543 ISBN-13: 9780521612548 PGS: N/A List: 22.00YOUR PRICE: 22.00 Essential Standard General Maths First Edition Teacher CD Peter Jones, Kay Lipson, David Main, Bar 2006 CAMBRIDGE UNIV. PRESS ISBN-10: 0521612721 ISBN-13: 9780521612722 PGS: N/A List: 65.00YOUR PRICE: 65.00 Essential Standard General Maths First Edition with Student CD-Rom With CD Peter Jones, Kay Lipson, David Main, Bar 2005 CAMBRIDGE UNIV. PRESS ISBN-10: 0521672600 ISBN-13: 9780521672603 PGS: N/A List: 30.10YOUR PRICE: 30.10 Experimental General Chemistry, 1st Ed. Marcus 1999 "This laboratory manual can be used with any general chemistry text, including books designed for courses that cover qualitative analysis and/or a substantial amount of organic chemistry." McGraw-Hill Science/Engineering/Math S ISBN-10: 0072364939 ISBN-13: 9780072364934 PGS: N/A List: 79.50YOUR PRICE: 75.53 Field and Laboratory Methods for General Ecology, 4th Ed. Brower 1998 "This introductory ecology lab manual focuses on the process of collecting, recording and analyzing data, and equips students with the tools they need to function in more advanced science courses. It reflects the most current techniques for data gathering so that students can obtain the most accurate samples. Balanced coverage of plant, animal and physical elements offers a diverse range of exercises. Includes exercise on writing research reports." McGraw-Hill Science/Engineering/Math S ISBN-10: 0697243583 ISBN-13: 9780697243584 PGS: 288 List: 86.88YOUR PRICE: 82.54 Foundations of General, Organic, and Biochemistry Denniston, Katherine J McGraw-Hill Science/Engineering/Math H ISBN-10: 0073311839 ISBN-13: 9780073311838 PGS: N/A List: 119.75YOUR PRICE: 113.76 General Chemistry Laboratory Manual, 2nd Ed. van Koppen, Petra McGraw-Hill Science/Engineering/Math S ISBN-10: 0073315044 ISBN-13: 9780073315041 PGS: N/A List: 81.25YOUR PRICE: 77.19 General Chemistry: The Essential Concepts, 5th Ed. Chang, Raymond McGraw-Hill Science/Engineering/Math H ISBN-10: 0073311855 ISBN-13: 9780073311852 PGS: N/A List: 122.75YOUR PRICE: 116.61 General Ecology Laboratory Manual, 8th Ed. Cox 2002 "Designed for juniors and seniors, this one-semester laboratory manual is based on mathematical statistics. This new edition provides a wide range of topics for investigation. Author George Cox begins with exercises covering library research, designing an ecological study, and other introductory concepts. He then proceeds to an examination of specific types of measurement and an analysis of various aspects of ecology. Many of these laboratories are tied to current, commercially-available computer programs and software packages." Unmatched in its coverage of the topic, the first edition of GENERALIZED VECTOR AND DYADIC ANALYSIS helped revolutionize the treatment of boundary-value problems, establishing itself as a classic in the field. This expanded, revised edition is the most comprehensive book available on vector analysis founded upon the new method symbolic vector. GENERALIZED VECTOR AND DYADIC ANALYSIS presents a copious list of vector and dyadic identities, along with various forms of Green's theorems with derivations. In addition, this edition presents an historical study of the past mis-understandings and contradictions that have occurred in vector analysis presentations, furthering the reader's understanding of the subject. Sponsored by: IEEE Antennas and Propagation Society. CONTENTS: Preface to the Second Edition.@p@pPreface to the First Edition.@p@pAcknowledgments for the First Edition.@p@pVector and Dyadic Algebra.@p@pCoordinate Systems.@p@pLine Integrals, Surface Integrals, and Volume Integrals.@p@pVector Analysis in Space.@p@pVector Analysis on Surface.@p@pVector Analysis of Transport Theorems.@p@pDyadic Analysis.@p@pA Historical Study of Vector Analysis.@p@pAppendix A: Transformation Between Unit Vectors.@p@pAppendix B: Vector and Dyadic Identities.@p@pAppendix C: Integral Theorems.@p@pAppendix D: Relationships Between Integral Theorems.@p@pAppendix E: Vector Analysis in the Special Theory of Relativity.@p@pAppendix F: Comparison of the Nomenclatures and Notations of the Quantities Used in This Book and in the Book by Stratton.@p@pReferences.@p@pIndex
prealgebra prealgebra prealgebraOffering 3 subjects including prealgebra
More About This Textbook Overview This book provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It presents the state of the art in several symbolic, numeric, and symbolic-numeric techniques, including effective and algorithmic methods in algebraic geometry and computational algebra, complexity issues, and applications ranging from statistics and geometric modelling to robotics and vision. Graduate students, as well as researchers in related areas, will find an excellent introduction to currently interesting topics. These cover Groebner and border bases, multivariate resultants, residues, primary decomposition, multivariate polynomial factorization, homotopy continuation, complexity issues,
Basic College Math - With Early Integers - 2nd edition Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief.Basic College Mathematics with Early Integers, Second Editionwas written to help students effectively make the transition from arithmetic to algebra. The new edition offers new resources like theStudent Organizerand now includesStudent Resourcesin the back of the book to help students on th...show moreeir quest for95
Although every country seeks out information on other nations, China is the leading threat when it comes to the theft of intellectual assets, including inventions, patents, and R&D secrets. Trade Secret Theft, Industrial Espionage, and the China Threat provides an overview of economic espionage … To learn and understand mathematics, students must engage in the process of doing mathematics. Emphasizing active learning, Abstract Algebra: An Inquiry-Based Approach not only teaches abstract algebra but also provides a deeper understanding of what mathematics is, how it is done, and how … … Effective horse trainers strive to improve the performance of their horses while preserving the integrity of the musculoskeletal apparatus. Biomechanics and Physical Training of the Horse supplies an anatomical and functional overview of the topic, enabling trainers to optimize the different … …
The Theory of Logarithms: Part Two This is the second part of the unit on The Theory of Logarithms from the Continuing Mathematics Project. It assumes that the user has completed the first part of the unit. The objectives of the unit are to enable students to: (i) acquire the concept of a logarithm as an extension of the concepts of a 'power' and of an 'index'; (ii) understand how the four rules of logarithms are derived, and be able to apply them; (iii) appreciate that the base 'ten' of common logarithms is a consequence of our denary system of writing numerals; (iv) become aware of the importance of the natural base 'e'; (v) associate the notation ex with the notation exp(x) and with the infinite series they stand for
MATH 108 Introduction to Abstract Mathematics and Proofs Course info & reviews The purpose of this course is to develop students' mathematical maturity and skill with proofs. Material covered will include logic; set theory including functions, relations, and cardinality; the real number system, including the completeness axiom; and selected topics. N/A average 3 units MATH 1080
Course Description: Math in Society I is the first part of the two-part course Math in Society. This course engages students in an exploration of mathematical ideas, approaches and thinking in society. Students engage with math as it is connected to decision making, problem solving, management science, growth and symmetry and statistics. Students may also consider mathematical ideas and thinking in the context of healthcare and other human-service organizations. Credit is not given for both MATH 102 and MATH 105. MATH 102 and MATH 103 together are equivalent to MATH 105. MATH 102 is designed to prepare students for MATH 103.
More About This Textbook Overview The theme of this book is modeling the real world using mathematics. The authors concentrate on the techniques used to set up mathematical models and describe many systems in full detail, covering both differential and difference equations
Problems Plus In IIT Mathematics (Paperback) Price: Rs.325 Problems Plus In IIT Mathematics is a book written for the IIT-JEE entrance examination preparation by A. Das Gupta. It serves as an excellent guidebook for the brushing up of vital concepts and contains practice questions required for the IIT-JEE aspirants. Summary Of The Book This book, Problems Plus In IIT Mathematics, has been compiled mainly to hone the skills of students and help them in their preparation for the IIT-JEE. A lot of exercises have been provided in the book for the necessary revision and practice of the IIT-JEE aspirants. The book carries with it some salient features which separate it from the rest of its kind. The inception of every chapter occurs with a gist of facts, formulae, and working techniques. Icons are given to mark the tricks and hints. Solved questions are provided for each chapter which include both short and long objective type questionnaires. In addition to that, multiple answer questions have also been included. Practice tests have been given at the end for the benefit of the students along with solutions. Moreover, a separate chapter comprising miscellaneous questions is there in the end. This provision should turn out to be very helpful for the students because they would not know the chapter from which the question is given beforehand. The contents of the book are widely categorised into various topics. The first topic is Algebra, which consists of sub-topics like Determinants and Cramer's Rule, Progressions, Equations, Inequations and Expressions, Infinite Series, Principle of Mathematical Induction (PMI), and Matrices. The next topics given is Trigonometry. It comes with sub-categories like Identities, Inverse Circular Functions, Logarithm, Solution of Equations, Heights and Distances, Properties of Triangle, Trigonometrical Inequalities and Inequations, and Circular Functions. The next sub heading covered is Coordinate Geometry. It consists of sub-topics like Circles, Parabola, Ellipse and Hyperbola, and Transformation of Axes. Then there is the topic called Calculus. It involves the sub-headings of Differentiation, Function, Indeterminate Form, Limit, Differentiability and Graph of Function, Continuity, Maxima and Minima, Application of dy/dx, Monotonic Function and Lagrange's Theorem, Definite Integration, and Differential Equation of the First Order. The next topic is Vectors. It contains the sub-topics of Application of Vectors, Product of two Vectors, Vectors and Addition of Vector, and Product of three or more Vectors. Next topic is Probability having subtopics such as Total Conditional Probability, Elementary Probability, and Bayes' Theorem. Then comes Coordinate Geometry of Three Dimensions containing sub-headings of Planes, Points, and Direction cosines and Direction ratios. The book concludes with practice tests comprising Miscellaneous Exercises. In short, the book is comprehensively written and covers its topics well. It is a useful read for students and mathematics buffs. About A. Das Gupta Apart from this book, A. Das Gupta is renowned for authoring or co-authoring many other books, some of which include books such as Principles Of Physical Geography 14) The 'certified buyer' badge indicates that this user has purchased this product on flipkart.com. A great collection of fantastic questions !! This book covers almost all topics which are usually asked in the IITJEEs. But you will not find sufficient theory in this book which one has to be familiar with in order to solve the problems. At the beginning of each and every chapter, the book supplies us with "Recap of Necessary Facts and Formulae". The results mentioned here are, no doubt, highly conceptual..but it will be extremely difficult for the student to derive those results themselves. If you are familiar with all those results and hunting for challenging problems like those asked in IITJEE, this book is a must for you. Containing above 3000 problems, this book covers a wide range of problems ranging from easy to challenging. Unlike the MCQ book of ADG, none of the problems are provided with an explanatory solution, merely the answer is given. In a nutshell, if you are an expert...this book is a must but if you are a beginner, this book will be of no help to you ! The 'certified buyer' badge indicates that this user has purchased this product on flipkart.com. HC verma of mathematics firstly this book is for those who love mathematics and completed there ML khanna or RD sharma or arihant or TMH. this books really contains very high quality questions.this book contain totally 7 topics and each topic have 10-12 sub-topic.this book will help you to use your concept knowledge and theory knowledge to solve problems.this is must buy book who want to revise there mathematics skills. and beginners please don't buy this books. this will be very hard for you.and not much problems are solved and exercise only have answer,answer are didn't gave in brief. but end news is this books is very good for revision after your preparation not for beginners. This book covers all the theory (over and above standard 12th class knowledge) required for cracking the engineering competitive exams. The questions are of really high quality. You first need to have solid grasp of basics before attempting this book, as this book takes up the student from the basics to the advanced knowledge, rigor and practice required for engineering exams. This makes a worthy companion to other high quality books published Bharathi Bhawan (HC Verma's Concept of Pysics book, Physics/Chem/Maths MCQ). The 'certified buyer' badge indicates that this user has purchased this product on flipkart.com. A must book for cracking IIT JEE Just one word. A.W.E.S.O.M.E This book contains a quick recap of the necessary concepts and formulae on that particular chapter and the problems are arranged in easy ---> difficult manner. It would have been better if the objective type questions which are very useful for JEE MAINS had been included. GO FOR IT!! THIS BOOK IS JUST AWESOME.IT HAS GOT ALL IT HAS TO HAVE FOR A STUDENT TO CRACK IIT JEE EXAM.THE LEVEL OF THE SUMS HERE AND THE ILLUSTRATIONS IS MORE THAN ENOUGH TO CLEAR YOUR CONCEPTS.IF YOU ARE THINKING OF BUYING THIS BOOK THEN GO FOR IT BECAUSE IT IS WORTH BUYING.........
books.google.com - Was... Mathematical Analysis Real Mathematical Analysis(Google eBook) Was science. None. It is Pure Mathematics, and it is sure to appeal to the budding pure mathematician. In this new introduction to undergraduate real analysis the author takes a different approach from past studies of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians like Dieudonne, Littlewood and Osserman. The author has taught the subject many times over the last 35 years at Berkeley and this book is based on the honours version of this course. The book contains an excellent selection of more than 500 exercises. Great introductory book, especially for people who wish to self-study Real Analysis. Note that for any high school students who wish to self-study from this book should have a strong background in Mathematics. General understanding of the Propositional Calculus (a.k.a. Mathematical Logic) and Set Theory will help in the beginning, but once you get through the first chapter, the rest of the book slowly becomes accessible.
Mathematik mit MATLAB: Aufgaben und Losungen This book, written in German, provides a compact introduction to MATLAB, including matrix operations, graphical representations, M-files, and flow control. The second part of the book contains a comprehensive set of exercises dealing with mathematic fundamentals, graphics, linear algebra and geometry. All of the exercises in the last part of the book are solved using MATLAB. Companion software: The authors have developed a set of MATLAB M-files that are available on a CD-ROM bound into the book or may be retrieved from the publisher's website. Retrieve companion software Free MATLAB Interactive Kit Explore how to use MATLAB to make advancements in engineering and science.
books.google.com - This easy-to-use workbook is full of stimulating activities that will give your students a solid introduction to precalculus! A variety of lessons, puzzles, mazes, and practice problems will challenge students to think creatively as they work to build their precalculus skills. Each lesson begins with... Reproducibles
acing combinatorial and graph-theoretical tools at the forefront of the development of matrix theory, this book uses graphs to explain basic matrix construction, formulas, computations, ideas, and results. It presents material rarely found in other books at this level and describes several applications of matrices in electrical engineering, physics, and chemistry.
This is exactly the same as the free version. Buy this version only as a way of saying thanks.A calculator that tries to include graphing and matrix math without losing its simplicity. Slide left and right to access more panels.Requires v4.0+. Hide your default calculator by either disabling it (v4.1+) or using a custom launcher.Features:-Basic arithmetic (+, -, , /)-Trigonometry (sin, cos, tan, arcsin, arccos, arctan)-Complex numbers (5+7i)-Graphs X,Y functions (Y=X^2)-Basic matrix math (+, , inverse, transpose)-Hexadecimal and Binary support (1A+E)-Widget for lockscreen and launcher-Animated history (Long press to copy)-Hide pages you don't need-Tablet and Smartphone supported-Completely open source! Download the source code
This site allows one access per day per computer free of charge. This applet allows students to graph up to six different linear inequalities in six different colors with solid or broken lines. The s... More: lessons, discussions, ratings, reviews,... One of the problems in dealing with three equations and three unknowns is a lack of practice problems. This script provides a new problem set each time which has integer answers. Another difficulty fa... More: lessons, discussions, ratings, reviews,... This is a companion program to matrixpractice.htm [View Resource Connection below]. This program does not solve the 3 equations-3 unknowns system; rather it is a tool to help the student work t... More: lessons, discussions, ratings, reviews,... A TI-NspireTM file that students can use to reflect on the "Make a Mathematical Model" Activity from the Math Forum's Problem Solving and Communication Activity Series. This is designed to ... More: lessons, discussions, ratings, reviews,... A+ Click is an interactive collection of more than 500 mathematical problems based on school program for grades 1 to 12. It defines the personal level of math knowledge. You move up into the next lev... More: lessons, discussions, ratings, reviews,... Have you ever wondered why you need to learn quadratic equations? This culminating lesson aims to make the math real, by showing the students visually how a simple problem can be solved by quadratic e activity uses virtual color chips from the Library of Virtual Manipulatives. The NLVM applet helps students understand zero pairs. Students will be able to derive the rules for adding integers
28, 1993 \| Series: Dover Books on Mathematics{"currencyCode":"USD","itemData":[{"priceBreaksMAP":null,"buyingPrice":11.99,"ASIN":"0486277097","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":3.99,"ASIN":"0486270785","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":4.46,"ASIN":"0486281523","isPreorder":0}],"shippingId":"0486277097::4MDgzL3vaCcXll4YYc7Hs0uHBTLJWd6aAJ4JTISP%2Fs8QhAvommQsmauLU9wbz4pnX%2Fl4w3hC%2FRmcwpdJD2CQZ9QkEQ4Y%2F1Z349p6JHb%2Bxec%3D,0486270785::AqjW1Cd7YNM0Qkad4jou64MbPinnqOLVAZ%2BZmAIsNCpOmN3Eu9fqsWeZPV2cwCsWnU9wf9kgANuwbmH7wFMyCdFeCNMfQ%2B%2BA8DBMBDky2zM%3D,0486281523::M1NEbMH9HFTPW1tC23etagBugddnI7uzs9HjeeQa0do5Q0CfbXxjigbnJGdRJGENYVel6TYjPrthF0ZXVMo%2F7p11obYgMQXXrfyQk%2FD0J consists of "320 unconventional problems in algebra, arithmetic, elementary number theory and trigonometry." The problems are mathematically accessible to students at the high school level or higher, as they call more upon analytical thinking than upon advanced mathematical techniques. There is a range of difficulties, with harder problems marked with stars in the book. (The hardest problems are marked with double stars.) The problems are divided into twelve sections: "Introductory Problems," "Alterations of Digits in Integers," "The Divisibility of Integers," "Some Problems from Arithmetic," "Equations Having Integer Solutions," "Evaluating Sums and Products," "Miscellaneous Problems from Algebra," "The Algebra of Polynomials," "Complex Numbers," "Some Problems of Number Theory," "Some Distinctive Inequalities," and "Difference Sequences and Sums." Much of the book is devoted to providing hints and solutions, which are both thorough and clear. This is a great resource for preparing for competition, for developing your analytical thinking, or just for having fun (that is, if you are the sort of person who finds solving math problems fun). The reason I am giving 5 stars to this book is for its unique collection of problems. It has been very entertaining reading the book so far (I have not completed the book). There however are a few errors which can be easily figured out by the reader. The treatment of each problem is unique. This is a great resource for challenging math problems. After getting annoyed with newspaper "problem of the week" type books, this was a refreshing find. Don't let the "high school level" disclaimer fool you - there are some seriously difficult problems in here. If you're the type to find logic and math problems fun, I would recommend dropping $15 for this text. It's well worth the time. I found this book very interesting, because it deals with many many problems of algebra and number theory. You can find many interesting and tough theorems (not all of them are widely known nor taught) with their demonstration. I particularily liked the section about "distinctive inequalities": it deals with a great number of inequalities and you can learn some new techniques for solving them. The book lacks of geometry, that's true (only some trig somewhere), but it gives (in my opinion) really a strong preparation on topics concerning algebra... try it! This books is what every book on math olympiads should be, it deals with high level problems in a way that readers can easily follow; I also liked it because there are some problems who have many interesting solutions and generalizations
ely:~/home$ prolog Welcome to SWI-Prolog (Multi-threaded, 64 bits, Version 5.10.1) Copyright (c) 1990-2010 University of Amsterdam, VU Amsterdam SWI-Prolog comes with ABSOLUTELY NO WARRANTY. This is free software, and you are welcome to redistribute it under certain conditions. Please visit for details. For help, use ?- help(Topic). or ?- apropos(Word). ?- love(math) is unrequited. true. Is it worth pursuing a statistics minor? I want to go to pure math grad school. Also, all else equal, extra time to absolutely destroy the Math GRE subject test is worth much more than the minor. So if classes for the minor would prevent you from utterly crushing the Math GRE, don't downweight that -- it could be and important consideration. (This is conditional on the desire to go to math grad school. The stats minor is probably more valuable unconditionally). Check this link for some other considerations. Nov 5 comment Is it worth pursuing a statistics minor? I want to go to pure math grad school. Another question: do you attend an undergraduate school where you feel the school's reputation for math majors is good enough to propel you into the pure math grad schools of your choice? If your undergrad school is extremely strong, then it's probably fine to spend extra classes on more well-roundedness (such as in stats). If the best PhD programs will cast any amount of skepticism on your undergrad math program's rigor, you'll be better served just cramming in as many advanced math classes as you can to prove you're good enough at it to be admitted. Best applications-oriented introductory calculus textbooks? I am more saying that there is some base rate of curiosity which is a required pre-req for understanding how a physical problem motivates a mathematical model. And most students who find they want or need to take calculus do not have that base rate of curiosity. Oct 9 comment Best applications-oriented introductory calculus textbooks? I understand. I guess I said it poorly. What I more mean is: a student who passes through calculus once is not equipped to understand the motivations for using calculus. Sure, they can recite platitudes about how it's used in some field, but that's about all they are in any position to appreciate. Which is probably why most "applications" sections (as you point out) just contain platitudes like "This can be used in fluid dynamics..." I'm not saying my point here is right. Just that my prior is that you can't motivate calculus from scratch with applications; it doesn't work well. Oct 9 comment Best applications-oriented introductory calculus textbooks? Maybe the book you're looking for is hard to find because it's just not very useful. In my own lectures, which admittedly focus more on probability, I've never seen students take to problems because of physical motivations. But after mastering a technique, like e.g. moment generating functions, then they are eager to see how it applied. I might just have outlier experiences, but both in my undergrad and grad school, and as a lecturer, it just never worked this way even for bright students. Is there evidence that it worked this way for bright students in the past? Oct 9 comment Best applications-oriented introductory calculus textbooks? The scope of the question is also hard to understand. For instance, in my own education I had to plod through two courses in advanced calculus, just doing lots of problems, mastering limits, beating all algebra mistakes out of my hand over and over. After that I read "Div Grad Curl and All That" and it was wonderful. If I had read such a book before doing all that gross rote algebra, it wouldn't have meant anything. Similarly, I had to slog through differential equations before coming across some useful boundary values problems books that motivated things with physics. Oct 9 comment Best applications-oriented introductory calculus textbooks? "justifying its inclusion in a liberal education for purposes other than contemptible ones like using it as a weeder for medical school or business school applicants." This kind of normative statement seems unnecessary in the question. I, for one, am glad these things help weed out such applicants, even though there are many better reasons to study the calculus.
This explanation may be incomplete or incorrect: Please include the reason why this explanation is incomplete, like this: {{incomplete\|reason}}. If you can address this issue, please edit the page! Thanks. HereThe student also appears to be committing a logical error in that she assumes her math classes only taught her how to solve orderly lists of parameters ending with "Solve for x." Many everyday tasks involve basic mathematical calculations, but we are left to devise our own calculations. For example, to turn one's apartment into a ball pit, one must calculate or at least estimate (another skill learned in math class) the floor space of the room, the desired depth for the balls to cover, the space occupied by one crate of balls, and the cost of such a crate. While the operations are basic arithmetic, the ability to recognize unknowns and sort them into a meaningful statement comes from algebra.
math This class is for students who could use more practice with pre-algebra skills or for an advanced student taking pre-algebra for the first time. The pace will move and cover many topics found in most Algebra I textbooks, as well as reviewing pre-algebra and basic math skills This class is for students who are not ready for pre-algebra and need a firmer foundation in math. The text is Abeka Math 7. This class meets twice a week. The day is determined when the rest of the schedule is complete. The tuition is based on the number of students in the class. This course uses Teaching Textbooks Algebra I. It is for the average student. The text has engaging pictures and story problems. This class meets twice a week. The time of the second class is determined when the school schedule is in place. The cost is determined by the number of students who sign up. This class is for the average to advanced student. The text is the Abeka pre-Algebra book. This class meets twice a week, due to the nature of the material taught. The time will be determined and the cost depends on the number of enrolled students.

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