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A First Course in Computational Algebraic Geometry is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. Originating from a course taught at the African Institute for Mathematical Sciences, the book gives a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the freely available computer algebra system, Singular. Readers will quickly gain the confidence to begin performing their own experiments.
Algebra with Trigonometry for College Students - With CD - 5th edition ISBN13:978-0534432959 ISBN10: 0534432956 This edition has also been released as: ISBN13: 978-0030344466 ISBN10: 0030344468 Summary: This text, written by best-selling developmental mathematics author Pat McKeague, features a more that occur in later chapters. The first ten chapter...show mores of this book cove the topics usually found in a college-level algebra course. The last three chapters cover the essential topics from trigonometry. Optional technology sections and integrated throughout text as a way for students to better understand the material being discussed. ...show less Paired Data and the Rectangular Coordinate System. The Slope of a Line. The Equation of a Line. Linear Inequalities in Two Variables. Introduction to Functions. Function Notation. Algebra with Functions. Variation. Summary. Review. Test. Cumulative Review. Projects. Florence, Kentucky, U.S.A. 2001 Hardcover Fair CD is NOT included. Edge/corner wear to cover and some pages have dogears. Appears unmarked. CD is NOT included. $47.42 +$3.99 s/h Acceptable Penntext Downingtown, PA With CD! Some Wrinkled Pages. May have some notes/highlighting, slightly worn covers, general wear/tear. Please contact us if you have any Questions. $99.00 +$3.99 s/h LikeNew Biblio Books Mississauga, ON Florence, Kentucky, U.S.A. 0 Hardcover 5th or later Edition Fine Book The book looks like new, unread and clean. Edges are sharp and fine. No tears or creases. No stains, writing or reminder marks. ...show moreThe binding is straight and tight. Light normal shelving wears on corners. Cd not included. The book itself is very nice. ...show less $124213.15 +$3.99 s/h New Textbookcenter.com Columbia, MO SHIPS FAST! via UPS(AK/HI Priority Mail) within 24 hours/ NEW book $232.88 +$3.99 s/h Good Facetextbooks Pittsburg, KS Hardcover 5$299.98
What is alpha+excel? alpha+excel studies alpha+excel differentiated studies are designed for gifted students between the ages of 5 – 15 years. There are different levels which correspond with the age and maturity of the student. Level I : 5 - 7 years Level II: 8 - 9 years Level III: 10 - 11 years Level IV: 12 - 14 years Interest groups: 15+ years Students choose a topic from the 60 themes available per level, differentiated into a Humanities or a Math/Science Curriculum. Diverse thinking skills such as: inquiry and navigationism data management reflective thinking critical thinking creative thinking conceptual thinking elaboration and design are cultivated through tasks assigned on each level alpha+excel studies are delivered in topic sets of 5 studies per twelve-week term. Students are expected to create a presentation at the end of each two-week study, leading towards the creation of a digital book of five presentations at the end of each term. Each study topic lasts for two weeks. Students meet in their scheduled online tutorial once a week in sessions that last 1 hour (2 hours of online tutorials per study). Students are taught directly by alpha+excel gifted facilitators through the alpha+excel digital premises.
More About This Book Editorial Reviews Library Journal This book, which was written by an engineer, might have been more appropriately subtitled, "Now that I have a scientific calculator, what do I do with it?" There is little here in the way of proof but lots of formulas with explanations of how to use them. The topics covered range from calculating the wind chill factor and temperature humidity index to computing the time dilation effect predicted by Einstein's theory of special relativity. Although not too many people will read this for pleasure, the book could be used to advantage as a supplementary text in a course in "cultural mathematics." It might well motivate students to learn how to use a calculator while at the same time exposing them to some of the ways math impinges on their lives. For most math collections.--Harold
354066422X 9783540664222 Programming for Mathematicians:Aimed at teaching mathematics students how to program using their knowledge of mathematics, the entire books emphasis is on "how to think" when programming. Three methods for constructing an algorithm or a program are used: manipulation and enrichment of existing code; use of recurrent sequences; deferral of code writing, in order to deal with one difficulty at a time. Many theorems are mathematically proved and programmed, and the text concludes with an explanation of how a compiler works and how to compile "by hand" little programs. Intended for anyone who thinks mathematically and wants to program and play with mathematics. Back to top Rent Programming for Mathematicians 1st edition today, or search our site for Raymond textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Springer.
Dave's Short Course on This is an introduction to complex numbers. It includes the mathematics and a little bit of history as well. It is intended for a general audience. The necessary background in a familiarity with ordinary real numbers (all positive and negative numbers and zero) and algebra. In one section some background in trigonometry is needed as indicated with the symbol. That section goes further into complex numbers and is optional in an introduction. Multiplication done algebraically, multiplying a complex number by a real number, multiplication and absolute value, powers of i, roots of unity, multiplying a complex number by i, a geometric interpretation of multiplication Special symbols used here. Some old web browsers do not display mathematical symbols. The following table shows the mathematical symbols used here. If there are any entries in the first column that appear blank or appear as question marks, then your web browser will not display those symbols, and you will need to use a different web browser to see all the symbols.
The Algebra 1 Student Activity Manual contains biblical integration, additional practice, enrichment, and calculator activities. Chapter reviews and cumulative reviews are also included to help reinforce what students have learned. Product: Algebra 1 Grade 9 Student Activities Manual (3rd Edition) Vendor: BJU Press Edition Number: 3 Binding Type: Paperback Media Type: Book Minimum Grade: 9th Grade Maximum Grade: 9th Grade Weight: 1.778 pounds Vendor Part Number: 270611 Subject: Algebra, Calculus & Trig, Math Algebra 1 Grade 9 Student Activities Manual (3rd Edition). Average Rating Parent Rating Comments Ease of use, Prep time, Assessments, Supplemental materials, General layout/appearance
Each lesson provides instructors with a comprehensive assessment, learning the essential Pre Algebra and Pre Geometry skills through C-S-A, real life transformations and composition activities, manipulatives, worksheets, posters, workmats, and cards. As part of its growing line of mathematics curriculum, AbleNet Equals Pre-Algebra and Pre-Geometry are designed to teach students with disabilities the necessary strategies and elements needed to progress in mathematics. "It's more important than ever that we provide all students with the opportunity to demonstrate their capabilities in more complex mathematics content areas, specifically the convergence of measurement and geometry, algebra and numbers and operations, data analysis and algebra, algebra and geometry," remarked Ann Meyer, AbleNet's Vice President of Curriculum and Software. "AbleNet Equals Pre-Algebra and Pre-Geometry provides students of all abilities with the confidence they need to reach new levels in mathematics and to succeed in higher order math skills." Common Core Ready AbleNet Equals Pre-Algebra and Pre-Geometry adheres to Core State Standards for Mathematics by building math preparedness through an incremental and systematic progression from concrete to abstract reasoning. In addition, Equals Pre-Algebra & Pre-Geometry pulls together the critical instructional elements of communication and engagement by providing the strategies and manipulatives that enable all students to demonstrate measurable progress on math outcomes. Researched Based AbleNet Equals Pre-Algebra and Pre-Geometry derives its educational foundation from the research-tested Concrete, Semi-Concrete and Abstract pedagogy (C-S-A). "CSA math strategies are common to high quality general education mathematics curricula. We have applied those same tested principles towards our special education approach, combining CSA with manipulatives, instructional materials, and technology that provide access to students with disabilities," Meyer said. "In other words, Equals combines proven methods from both general and special education to create a truly unique and effective approach to mathematics instruction." AbleNet Equals Pre-Algebra and Pre-Geometry kits are shipping in time for the beginning of the 2011-2012 academic year. For more information, visit # # # AbleNet is an international company and industry leader in providing educational and technical solutions to help children and adults with disabilities lead productive and fulfilled lives. This includes a complete line of special education curricular programs, communication devices, access aids, such as switches and wheelchair-mounting devices and software that both enhances and ensures learning progress. Our products are used in hundreds of thousands of classrooms, homes, and clinics in the United States and across the globe. AbleNet is an ESOP company located in Roseville, Minnesota. For more information visit
i picked further maths and on my college timetable there is a lesson called further maths decision. is that the same as D1? or is it something else because ive searched on google and found nothing on 'further maths decision'. (Original post by cooldudeman) i picked further maths and on my college timetable there is a lesson called further maths decision. is that the same as D1? or is it something else because ive searched on google and found nothing on 'further maths decision'. Id guess it will be decision maths, unless you're doing D1 in normal maths and D2 in further, but thats weird
First Year Course only What is it about mathematics that makes it so powerful, so insightful? How can it claim the absolute and universal truths that are denied even to science? Why is it that the patterns that mathematicians treasure purely for their aesthetic beauty are the ones that are so useful for understanding the world in which we live? This will be a free-ranging course that explores the world of mathematics by doing mathematics and by exploring the works of those who have thought about these questions. The mathematics will be drawn from discrete mathematics including combinatorics and number theory. Examples include: • How many regions in space are formed by six randomly placed planes? What about n randomly placed planes? • How many ways can 10 be written as a sum of one or more positive integers? How can this number be computed efficiently for any given integer? • How many perfect riffle shuffles (leaving the top card on top) does it take to return a 148-card deck to its original order? What is the underlying structure that enables us to find the answer for a deck of any size? (Hint: The answer to the first part of each of these questions is also the Answer to the Ultimate Question of Life, the Universe, and Everything.) We will take excursions into the modern history of discrete mathematics including unsolved problems and current research in issues such as factorization, primality testing, and public key encryption (RSA). The emphasis will be on problem-solving, both individually and in groups. • G.H. Hardy and C.P. Snow, A Mathematician's Apology (you may use any edition) • Thomas S. Kuhn, The Structure of Scientific Revolutions (you may use any edition) There are no prerequisites for this course except a willingness to work hard and a curiosity about the world of mathematics. MATH 136-02 Discrete Mathematics TR 01:20 pm-02:50 pm OLRI 101 Andrew Beveridge ACTC students may register on May 3rd with permission of the instructor MATH 137-01 Single Variable Calculus MWF 12:00 pm-01:00 pm OLRI 243 David Ehren ACTC students may register on May 3rd with permission of the instructor MATH 137-02 Single Variable Calculus MWF 01:10 pm-02:10 pm OLRI 241 Thomas Halverson ACTC students may register on May 3rd with permission of the instructor MATH 137-03 Single Variable Calculus MWF 08:30 am-09:30 am ARTCOM 102 David Ehren MATH 155-01 Intro to Statistical Modeling MWF 09:40 am-10:40 am OLRI 241 Daniel Kaplan ACTC students may register on May 3rd with permission of the instructor MATH 155-02 Intro to Statistical Modeling MWF 02:20 pm-03:20 pm OLRI 241 Alicia Johnson ACTC students may register on May 3rd with permission of the instructor MATH 155-03 Intro to Statistical Modeling TR 08:00 am-09:30 am OLRI 243 Daniel Flath ACTC students may register on May 3rd with permission of the instructor MATH 155-04 Intro to Statistical Modeling TR 09:40 am-11:10 am OLRI 243 Daniel Flath ACTC students may register on May 3rd with permission of the instructor MATH 236-01 Linear Algebra TR 01:20 pm-02:50 pm OLRI 250 Daniel Flath ACTC students may register on May 3rd with permission of the instructor MATH 237-01 Multivariable Calculus TR 09:40 am-11:10 am OLRI 100 Robert Thompson ACTC students may register on May 3rd with permission of the instructor MATH 237-02 Multivariable Calculus TR 01:20 pm-02:50 pm OLRI 258 Robert Thompson ACTC students may register on May 3rd with permission of the instructor MATH 312-01 Differential Equations MWF 03:30 pm-04:30 pm OLRI 243 Robert Thompson ACTC students may register on May 3rd with permission of the instructor MATH 353-01 Modern Statistics: Bayesian Statistics MWF 03:30 pm-04:30 pm OLRI 241 Alicia Johnson ACTC students may register on May 3rd with permission of the instructor Bayesian statistical methods provide an alternative to the traditional frequentist approach taken in our other statistics courses. Though Bayesian theory dates back to the 18th century, with its application often requiring computing technology, it did not receive signicant attention in practice until the 1980's. Today, Bayesian methods play an integral role in modern statistics. In Math 353, we will explore Bayesian philosophy, the Bayesian approach to statistical analysis, as well as both sides of the frequentist vs Bayesian debate. MATH 354-01 Probability MWF 12:00 pm-01:00 pm OLRI 241 Vittorio Addona ACTC students may register on May 3rd with permission of the instructor MATH 377-01 Real Analysis MWF 09:40 am-10:40 am OLRI 205 David Bressoud ACTC students may register on May 3rd with permission of the instructor MATH 379-01 Combinatorics TR 09:40 am-11:10 am OLRI 101 Andrew Beveridge ACTC students may register on May 3rd with permission of the instructor MATH 432-01 Mathematical Modeling TR 01:20 pm-02:50 pm OLRI 205 Chad Higdon-Topaz First day attendance required; ACTC students may register on May 3rd with permission of the instructor MATH 476-01 Topics in Algebra MWF 10:50 am-11:50 am OLRI 205 Thomas Halverson ACTC students may register on May 3rd with permission of the instructor Spring 2014 Class Schedule - updated December 6, 2013 at 05:56 pm ACTC student may register on December 6 with permission of the instructor MATH 135-01 Applied Calculus TR 09:40 am-11:10 am ARTCOM 202 Chad Higdon-Topaz ACTC student may register on December 6 with permission of the instructor MATH 135-02 Applied Calculus MWF 01:10 pm-02:10 pm OLRI 243 Lori Ziegelmeier ACTC student may register on December 6 with permission of the instructor MATH 135-03 Applied Calculus MWF 02:20 pm-03:20 pm OLRI 243 Lori Ziegelmeier ACTC student may register on December 6 with permission of the instructor MATH 136-01 Discrete Mathematics MWF 03:30 pm-04:30 pm OLRI 241 Andrew Beveridge ACTC student may register on December 6 with permission of the instructor MATH 137-01 Single Variable Calculus MWF 08:30 am-09:30 am OLRI 241 David Bressoud ACTC student may register on December 6 with permission of the instructor MATH 137-02 Single Variable Calculus MWF 09:40 am-10:40 am OLRI 241 David Bressoud ACTC student may register on December 6 with permission of the instructor MATH 155-01 Intro to Statistical Modeling MWF 03:30 pm-04:30 pm OLRI 243 David Ehren ACTC student may register on December 6 with permission of the instructor MATH 155-02 Intro to Statistical Modeling MWF 01:10 pm-02:10 pm OLRI 241 Robert Thompson ACTC student may register on December 6 with permission of the instructor MATH 155-03 Intro to Statistical Modeling MWF 02:20 pm-03:20 pm OLRI 241 David Shuman ACTC student may register on December 6 with permission of the instructor MATH 155-04 Intro to Statistical Modeling TR 01:20 pm-02:50 pm OLRI 243 Daniel Flath ACTC student may register on December 6 with permission of the instructor MATH 155-05 Intro to Statistical Modeling TR 03:00 pm-04:30 pm OLRI 243 Alicia Johnson ACTC student may register on December 6 with permission of the instructor MATH 236-01 Linear Algebra MWF 10:50 am-11:50 am OLRI 241 Andrew Beveridge ACTC student may register on December 6 with permission of the instructor MATH 236-02 Linear Algebra MWF 12:00 pm-01:00 pm OLRI 241 Andrew Beveridge ACTC student may register on December 6 with permission of the instructor MATH 237-01 Multivariable Calculus MWF 08:30 am-09:30 am OLRI 243 Lori Ziegelmeier ACTC student may register on December 6 with permission of the instructor MATH 237-02 Multivariable Calculus MWF 03:30 pm-04:30 pm OLRI 258 Robert Thompson ACTC student may register on December 6 with permission of the instructor MATH 253-01 Applied Mulitivariate Stats TR 09:40 am-11:10 am OLRI 258 Alicia Johnson ACTC student may register on December 6 with permission of the instructor MATH 253-02 Applied Mulitivariate Stats TR 01:20 pm-02:50 pm OLRI 258 Alicia Johnson ACTC student may register on December 6 with permission of the instructor MATH 312-01 Differential Equations TR 01:20 pm-02:50 pm OLRI 241 Chad Higdon-Topaz ACTC student may register on December 6 with permission of the instructor MATH 361-01 Theory of Computation MWF 03:30 pm-04:30 pm OLRI 245 Susan Fox Cross-listed with COMP 261-01; ACTC student may register on December 6 with permission of the instructor MATH 365-01 Computational Linear Algebra MWF 09:40 am-10:40 am OLRI 245 David Shuman Cross-listed with COMP 365-01; first day attendance required; ACTC student may register on December 6 with permission of the instructor MATH 369-01 Advanced Symbolic Logic TR 09:40 am-11:10 am CARN 107 Janet Folina Cross-listed with PHIL 369-01 MATH 376-01 Algebraic Structures TR 01:20 pm-02:50 pm OLRI 205 Thomas Halverson ACTC student may register on December 6 with permission of the instructor MATH 394-01 Vector Calculus from Celestial Mechanics to Special Relativity MWF 01:10 pm-02:10 pm OLRI 205 David Bressoud ACTC student may register on December 6 with permission of the instructor This is course in vector analysis with an emphasis on the problems in physics that lay behind its development, beginning with Newton's work in celestial mechanics, continuing through the development of the mathematics of electricity and magnetism, and concluding with Einstein's special relativity. Prerequisite: Math 237. MATH 455-01 Mathematical Statistics MWF 10:50 am-11:50 am OLRI 243 Vittorio Addona ACTC student may register on December 6 with permission of the instructor MATH 478-01 Complex Analysis TR 09:40 am-11:10 am OLRI 243 Daniel Flath ACTC student may register on December 6 with permission of the instructor
Summary: Now enhanced with the innovative DE Tools CD-ROM and the iLrn teaching and learning system, this proven text explains the "how" behind the material and strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This accessible text speaks to students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects...show more. This book was written with the student's understanding firmly in mind. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations
Edit by t9t.info: UltimaCalc - UltimaCalc is a scientific and mathematical graphing calculator. Always ready for use as it can stay on top of other windows, transparent when inactive. Type a calculation as plain text, evaluate it, maybe edit it and re-calculate, record all calculations. Has a comprehensive help system. Work with algebra. Simplify expressions, differentiate them. Integrate a wide range of expressions, and have the solution explained. Find Taylor series. Factorise polynomials, divide them, find their GCDs. Specialised tools run in their own windows, and can save their data for future reference. One tool performs a variety of least square fit methods ( including non-linear, polynomial, multivariate ). Another finds the minimum of a multi-variate expression. Others solve triangles, or find roots of polynomials up to tenth order, or solve simultaneous linear or non-linear equations. UltimaCalc includes logarithms to base 2, two-argument inverse tangent, greatest common divisor. Also floor and ceiling functions, absolute value, min, max, extract the fractional part of a number, find the value for which an expression is at its minimum. Find the slope of a line between two points. Calculate definite integrals. Define your own functions, variables and constants. UltimaCalc works to 38 digit precision. You can select the display precision and group the digits for readability. Two' scientific' view modes use exponent format. The' engineering' mode uses suffixes such as k ( kilo ) and M ( mega ). View results in hexadecimal and as ratios. Calculate the mean, median and standard deviation of a sample and its population. Use absolute deviation fit to minimise the distorting effects of outlying values. Plot functions: Specify starting and ending conditions and how the variables change. Combine multiple plots. Create charts. Add title, subtitle, labels. Adjust the layout, colours and hatching. Work with dates, future or past. Find Easter for any year. Simple navigational calculations.
Mathematics Mathematics is an excellent choice as a major or a minor. Graduates of our program go on to careers in industry, finance, teaching, and graduate school. Mathematics also builds your analytical thinking skills. We encourage you to try a course in our department early in your college career. The department of mathematics, computer science, and statistics has a wide variety of courses available to first-year students. The Calculus Sequence If you are considering mathematics as a major or minor, you should register for Calculus in the fall of your first year. Calculus is also an excellent choice for students interested in science or economics. The beginning calculus course is MATH 135: Calculus I (QLR). If you have seen some calculus already, you should consider starting in MATH 136: Calculus II or even MATH 205: Multivariable Calculus. If you scored a 4 or a 5 on the Advanced Placement Calculus AB exam, you will receive AP credit for MATH 135 and should start in MATH 136; if you scored a 4 or a 5 on the Calculus BC exam, you will receive AP credit for both MATH 135 and MATH 136 and should start in MATH 205. Even if you did not take the AP exam or did not score a 4 or 5 on it, if you have some background in calculus, you can consider starting in MATH 136 or MATH 205. Students who successfully complete MATH 136 receive credit for MATH 135 as well, and students successfully completing MATH 205 receive credit for all three calculus courses. Feel free to contact any member of the mathematics faculty to discuss your background and plans. If you plan to take calculus but feel you have a weak background in algebra, trigonometry, or other pre-calculus concepts, you can enroll in MATH 134: Pre-Calculus. This is an in-depth review of the mathematics needed to begin calculus. It does not fulfill the Mathematics/Foreign Language distribution requirement. NOTE: To accommodate those students unsure of which course is appropriate for them, relocation within the sequence of MATH 134, 135, 136 and 205 is possible beyond the normal deadline for changing a course during the semester. Be sure to discuss your placement with your instructor early in the semester. Statistics STAT 113: Applied Statistics is designed to introduce students to data analysis and statistical procedures in this increasingly data-driven world. The course is particularly appropriate if you are thinking of majoring in biology, psychology, economics, environmental studies, or other fields in which data analysis is important. If you took the Advanced Placement Statistics Exam and scored a 4 or a 5, you will receive AP credit for STAT 113. You should consider enrolling in STAT 213: Applied Regression Analysis or one of the other upper-level courses offered by the department in statistics. Other Options in Mathematics The department also provides a rich range of options, other than those noted above, for students who wish to continue their study of mathematics. MATH 110: Concepts of Mathematics is an introduction to some of the significant ideas of mathematics. It is not recommended for students planning on majoring or minoring in mathematics. Some of the department's 200-level courses, such as MATH 280: A Bridge to Higher Mathematics, are open to ambitious first-year students. Please talk to a member of the department to find out more about these options. Courses available this fall appropriate for first-year students, subject to the availability of seats, are:
7th Grade Math Help Usually students find grade-7 maths entirely different from whatever they had learned in lower grades. Mathematics in 7th grade becomes more descriptive and illustrative. It contains axioms and theorems. It contains concepts which if mastered, are quite useful in higher studies. Grade-7 math is a foundation stone for higher-level mathematics. Grade-7 math should be very clear in order to have better understanding of maths in higher studies. Do not worry, Tutorvista is here to help you out. We offer high quality math lessons for free. These lessons are made by our highly and professionally qualified teachers who understand the requirements of grade-7 students. They have made these lessons very interesting and educative. Questions and answers related to each lesson are also available here. All the questions are solved step by step in a descriptive manner. Students can take advantage of these lessons at any time from the comfort of their home. Tutorvista is designed to provide quality help for students with math. We provide 7th grade math help and our online tutors give detail explanation of each and every concept coming under this grade. Following is a representative list of topics covered in our 7th grade Math help - however all programs will be customized for the individual student. We are listed some topics covered under 7 Grade Math. Analyze and identify shapes that have been rotated, reflected, translated and describe those that are congruent. Understanding of the area of circles or the area or perimeter of figures (quadrilaterals, triangles, or parts of circles), and the surface area of rectangular prisms, or volume of rectangular prisms, triangular prisms, or cylinders. Functions and Algebra Extend, analyze and justify the explanations for patterns and their rules and a more complex level using words and symbols. Solving problems involving the relationship between slope and rate of change or describes how change in the value of one variable relates to change in the value of a second variable. Be able to write algebraic expressions and write statements to understand simple formulas and simplify algebraic equations with the four operations. Data, Statistics, and Probability Analyze the data to formulate or justify conclusions, to make predictions (circle graphs, linear relationship). 7th Grade Math Problems 7th grade math problems online are an excellent solution for anyone who needs help or is looking for ways to sharpen their solving skills. Unlike classroom teaching or traditional tutorials, online math helpers give you the choice of studying when you want. This is a huge advantage, especially if it is exam time and you need help quickly and instantly. Online study for 7th grade math problems helps and exam preparation are other services that you can get from online math helpers. Solved Examples Question 1: Simplify 12 x 45 $\div$(12 - 7) + 4. Solution: Given, 12 x 45 $\div$(12 - 7) + 4 12 x 45 $\div$(12 - 7) + 4 = 12 x 45 $\div$5 + 4 = 12 x 45 x $\frac{1}{5}$ + 4 = 12 x 9 + 4 = 108 + 4 = 112 => 12 x 45 $\div$(12 - 7) + 4 = 112 Question 2: Solve the proportion for x and check your answer. $\frac{x}{35} = \frac{3}{7}$ Solution: Given, $\frac{x}{35} = \frac{3}{7}$ $\frac{x}{35} = \frac{3}{7}$ => 7x = 3 $\times$ 35 => x = $\frac{3 \times 35}{7}$ => x = 15 Check: LHS = $\frac{x}{35}$ = $\frac{15}{35}$ = $\frac{3 \times 5}{5 \times 7}$ = $\frac{3}{7}$ = RHS Question 3: Area of a circular table is 154 square feet. What is the radius and diameter of the table. Solution: Given Area of the circular table (A) = 154 square feet Let 'r' be the radius and 'd' be the diameter of the circle Use the formula, A = ∏ r2 => 154 = $\frac{22}{7}$ * r2 => 154 x $\frac{7}{22}$ = r2 => 7 x 7 = r2 => r = 7 and d = 2 r = 2 x 7 = 14 => Radius of circular table = 7 feet and diameter = 14 feet. 7th Grade Math Practice Practice Problems Question 1: Jiany needs to type an article that will be 20 pages long. Each page contains about 100 words. If Jiany can type 50 words per minute, how many minutes will it take him to complete the article? (Answer: 40 mins) Question 2: What would be the compound interest accrued on an amount of 7400 dollars at the rate of 13% at the end of 2 years? (Answer: C.I. = 2132.87 dollars)
Publisher's description This app helps you with your math! Look up what you need, when you need it. All presented in a format that makes it easy to find what you need, and as easy as possible to follow it once you find it.The notes include the following topics: Algebra: Laws of addition, multiplication, exponents, and logs. Change of log base. Geometric Series. Different types of polynomials. The Fundamental Theorem of Algebra. Calculus: Definition of Limit. Definition of deriviative. Differentiation rules (product rule, chain rule, etc.) Antiderivatives. Integration rules. Fundamental Theorem. Indefinite integrals. Definite integrals and area. Complex numbers. What are complex numbers. Complex arithmetic. Complex conjugates. The complex plane. Geometry. Pythagorean Theorem. Distance between two points. Facts about triangles, circles, ellipses, and lines. Trigonometry: Definitions of trig functions. A ton of trig identities (Angle addition and subtraction formulas, half and double angle formulas, pythagorean identities, even and odd trig functions, complementary trig functions, and trig linear combinations.) Also Law of Sines and Law of Cosines. Vectors. What's a vector. Length of a vector. Vector addition. Scalar multiplication. Dot product and cross product. Vector calculus. Div, grad, and curl. Curl as a determinant. The Laplacian. Vector calculus identities. A bonus section on classical mechanics. Mass, speed, velocity, acceleration, force, Newton's laws, momentum, work, potential and kinetic energy, conservation laws
Functions Teacher Resources Find Functions educational ideas and activities Title Resource Type Views Grade Rating When comparing pricing models, young mathematical consumers, create linear equations and analyzing them graphically and algebraically. They look at the meaning of slope and intercepts, as well as the intersection points of lines. Students graph polynomials functions and analyze the end behavior. In this algebra lesson, student differentiate between the different polynomials based on the exponents. They use a TI to help with the graphing. Here is an unexpected resource: chapter 1 of an Algebra textbook. You can use all or some of its contents to teach your Middle Schoolers all about algebraic expression, domain, function notation, linear equations, order of operations, input/output, ordered pairs, and variable expressions. This would be great for a substitute or newer teacher looking for reliable tools. Use real world scenarios to facilitate discussion of the relationship between variables and how they are represented graphically and analytically. This can work in part as an introduction to functions, as a complete lesson, or as an extension to a unit on the library of functions. Functions are on the move! This lesson plan provides an opportunity for learners to explore transformations of functions. The activity illustrates the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for both positive and negative values of k. Working in small groups, students complete a table of values for a parent function and an assigned transformation of that function. After sketching both graphs on the same coordinate plane, they analyze their results and write a conjecture about how the value of k affects the original function. Each group shares its findings with the class. The results of the activity are reinforced by using graphing calculators to graph the functions and comparing with the sketches done with pencil and paper. The activity concludes with learners applying what they have learned to write equations for functions when given their graphs. Mathematicians study how algebra can tell the stories of linear growth and they develop problem solving skills in relation to linear growth contexts. In this lesson, students organize information to explain growth, they use algebraic equations to make connections between real life and linear change. Exponential functions are the name of the game. Young mathematicians can work through each of the eight worksheets by evaluating functions, applying logarithms, completing logarithmic functions, and building inverse functions. This would be a great set of worksheets to accompany an entire chapter. Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolasMiddle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition, they read the information provided and translate as much as they can into mathematical expressions. This lesson has a number of fun worksheets for a pre-algebra or beginning algebra class. The main emphasis of this lesson is functions, formulas, and looking at square roots. It is the third lesson in a series on solving for unknowns, which you can find if you look first at the "Getting Started" link. This lesson, in particular, focuses on developing an understanding between the inverse relationship of squaring a number and taking its square root, finding probabilities, and creating linear equations and solving problems. In this algebraic functions worksheet, learners write a function to determine the relationship between people and barrels of oil used. They research the population of the 10 largest cities in their state and use this functional relationship to calculate the number of barrels and gallons of oil used by each city. Students solve formulas by using substitution. In this algebra lesson, students utilize formulas introduced in the lesson which apply to science as well as volume and area. The lesson gives detailed instruction for solving each type of problem. Detailed answers to all practice problems are provided with step by step solutions to assist. Students explore the TI-92. In this secondary mathematics lesson, students examine the applications and functions of the TI-92. Students investigate symbolic manipulation, 2D and 3D graphing, the interactive geometry module and the programming and text editor. High schoolers graph functions on their graphing calculators. They follow step-by-step directions to enter rational functions onto their calculators and then graph them. The worksheet includes nine questions Pre-algebra pupils investigate linear equations and functions. In this algebra lesson, learners find the slope and identify the line as increasing or decreasing. They identify the x and y intercept given the equation in the form y= mx + b. Examine multiple ways to solve algebraic equations. Pupils will generate a problem solving strategy that addresses the prompt given by the teacher. They will then share their problem solving strategy with the class. Graphic organizers, problem solving prompts, and tables are included. Elementary schoolers use a function machine in order to help them look at the relationship between input and output, and to look at the rule for the change. The machine is actually a cardboard box, and it serves quite well for the lesson! One student takes the input numbers and creates an output number. After enough have been done, learners try to figure out the rule that is being used. A good teaching idea!
Functions Modeling Change, Texas Edition - 2nd edition Summary: This is a new edition of the precalculus text developed by the Consortium based at Harvard University and funded by a National Science Foundation Grant. The text is thought-provoking for well-prepared students while still accessible to students with weaker backgrounds. It provides numerical and graphical approaches as well as algebraic approaches to give students another way of mastering the material. This approach encourages students to persist thereby lowering failure rates. A larg...show moree number of real-world examples and problems enable students to create mathematical models that will help them understand the world in which they live. The focus is on those topics that are essential to the study of calculus and these topics are treated in depth. Linear exponential power and periodic functions are introduced before polynomial and rational functions to take advantage of their use to model physical phenomena. Building on the Consortium's Rule of Four: Each function is represented symbolically numerically graphically and verbally where appropriate91 +$3.99 s/h VeryGood WookieBooks Houston, TX 2006 Hardcover Very good Great condition for a used book! Minimal wear. 100% Money Back Guarantee. Ships quickly! Thanks for looking! $33.91 +$3.99 s/h Good Big Planet Books Burbank, CA 2006-04-17 Hardcover Good Expedited shipping is available for this item! $43.89 +$3.99 s/h New RightChoiceBooks! Lindenhurst, NY 0470039191 New Condition-Unused Copy . Ships immediately. Email us if you have any questions. $43.89 +$3.99 s/h New whypaymorebooks? NY Lindenhurst, NY 4/17/2006 Hardcover 2nd Texas Edition New 0470039191 New Condition-Unused Copy
Drawing on over 10 years' experience of publishing for Edexcel maths, this series brings you dedicated textbooks and revision guides plus solutionbank CD-ROMs to help you give your students a clear route to success. Plus they're written by Edexcel examiners! Developed in partnership with OCR for the OCR Functional Skills Mathematics Pilot Highly visual, these student and teacher resources offer a clear approach to teaching functional mathematics and aim to give students a deeper appreciation of the value of mathematics in their lives and the contribution it can make to professional and social situations. The rise in GCSE grades has been traced to Thinking Maths lessons in years 7 and 8, according to King's College Professor Michael Shayer . All schools in the pilot cohort witnessed grade improvements, with the proportion of Maths grades A*-C doubling in a quarter of the schools. The new Pack provides a range of activities developed by the Cognitive Acceleration in Mathematics Education project (CAME), proven to raise general levels of achievement. Written by an experienced team of Scottish authors and examiners, this course covers units 1(H), 2(H) and 3(H). The Student Book offers complete coverage of the higher course, whilst the Revision Book gives plenty of confidence-building practice. Advancing Maths for AQA provides exceptional preparation for AQA specification B. This series of books builds on good GCSE practice to make maths accessible providing thorough coverage of the key concepts. Advancing Maths for AQA is coursework free to allow more time to focus on the concepts and skills your students need.
Description: The purpose of this little book is to give the reader a convenient introduction to the theory of numbers, one of the most extensive and most elegant disciplines in the whole body of mathematics. The treatment throughout is made as brief as is possible consistent with clearness and is confined entirely to fundamental matters.
Mechanixs is an easy to use scientific math software program and editor for solving mathematical problems and taking notes, with an extendable function library containing over 200 predefined functions and an integrated function solver, a 2D and 3D graphing utility supporting point labels, zooming, ..GraphSight Junior is an easy to use freeware handy 2D math-graphing program. It was originally designed to help students and teachers satisfy their day-after-day math plotting needs. It makes it easy to plot common Y(X) = F(X) graphsThe Math Homework Maker,is a FREE software which can solve all your homework. If you are a parent,pupil,student,needing help or just want to check your math homework, Then you must have this software. This software is very easy and friendly to use Middle-School (grades 5 through 9) mathprogram written to provide skills in context. The program shows a series of 150 preset problems. Each problem has a blank, sectioned square and a given fraction goal. Students must shade the square to match the given fraction. The program allows students to drawcami math program Download Notice Free Download 3 periodically updates software information of cami math program full versions from the publishers, but some information may be slightly out-of-date. Software piracy is theft, using crack, warez passwords, patches, serial numbers, registration codes, keymaker or keygen for cami math program license key is illegal. The above cami math program software search results are freeware or software in full, demo and trial versions for free download.
Math for Merchandising : A Step-by-StepMerchandising Math: A Step-by Step Approach, Third Edition, takes users step by step through the concepts of merchandising math. It is organized so that the chapters parallel a career path in the merchandising industry. The text begins with coverage of fundamental math concepts used in merchandising and progresses through the forms and math skills needed to buy, price, and re-price merchandise. Next students learn the basics of creating and analyzing six-month plans. The final section of the text introduces math and merchandising concepts that ... MOREare typically used at the corporate level. New to this edition is a Student Resources CD packaged with the book that contains forms from the text, Excel templates, guided Excel exercises, and quizzes for each chapter in the book This book takes users step by step through the concepts of merchandising math. It is organized so that the chapters parallel a career path in the merchandising industry.The book begins with coverage of fundamental math concepts used in merchandising and progresses through the forms and math skills needed to buy, price, and re-price merchandise. Next readers learn the basics of creating and analyzing six-month plans. The final section of the book introduces math and merchandising concepts that are typically used at the corporate level.For individuals pursuing a career in merchandising.
Precalculus: A Right Triangle Approach (4th Edition) Beecher, Penna, and Bittinger's Precalculus: A Right Triangle Approach is known for enabling students to "see the math" through its focus on visualization and early introduction to functions. With the Fourth Edition, the authors continue to innovate by incorporating more ongoing review to help students develop their understanding and study effectively. Mid-chapter Review exercise sets have been added to give students practice in synthesizing the concepts, and new Study Summaries provide built-in tools to help them prepare for tests. The MyMathLab course (access kit required) has been expanded so that the online content is even more integrated with the text's approach, with the addition of Vocabulary, Synthesis, and Mid-chapter Review exercises from the text as well as example-based videos created by the
Complex Analysis for Mathematics, Science, and Engineering This book provides a comprehensive introduction to complex variable theory and its applications. The Second Edition features a revised and updated ...Show synopsisThis book provides a comprehensive introduction to complex variable theory and its applications. The Second Edition features a revised and updated presentation that reflects the latest theories and their applications to current engineering problems edition; 528 pp., Hardcover, hand stamp to front paste down, else very good
Topic review (newest first) Hope I have not scared you away. I am working on your other question in the other thread. Raabi 2012-11-24 05:09:59 I see! We are actually getting redied for a bigger altar. It is time to run away :-) Thank you Bobbym and have a good time. bobbym 2012-11-24 04:58:48 Hi; We use numerical methods for problems that there are no analytical methods for. The problems you are being given in textbooks are only toy type problems. Yes, they have other ways to get the answer. Most problems require numerical techniques. Raabi 2012-11-24 04:55:59 Thanks Bobbym. I got some hint. Some people, like myself, are not good at asking their questions well - I'll try to improve. Is it one of the main reasons for using Numerical methods, called improved Approximation? I have some idea on Single Precision & Double Precision Floating Point numbers; but still could not understand; why should we use Numerical methods for the problems; which can be solved with plain algebra (probably called Analytical methods?). A real life example; comparing the two methods may resolve my problem for ever. I am afraid, you people may feel off for my too basic questions. I can request to bear with me just for a little while; until I start walking, from crawling, on the path of you geeks. Thanks. bobbym 2012-11-24 04:23:42 Hi; MS Excel, Scientific calculator, or just Microsoft Math? Those three tools as well as all the rest use numerical algorithms like Newton's, secant, interval bisection to get their answers. They are all well written and will generally get you 15 or 16 digits of precision. When you are studying numerical analysis you are studying the algorithms like Newton's that helps those programs get their answers. If you only work with say 16 digits of precision in those algorithms then that is what you hope you will get your answer in. debjit625 2012-11-24 04:21:56 Well a program should behave what its programmed for. If it's programmed to use Newton's method, it will and its the same what you do on paper. But at the same time computers have limitations. In this case the limitation is on decimal points ,computers work only with binary numbers they don't understand decimal points they don't even understand negative numbers in binary we can only have positive whole numbers {0,1,2,...} and even whole numbers are limited ,the range will depend on the bits you are using to describe the number. So how come we can calculate decimal and negative stuff on our computers? Computers use a special format to represent decimal points, normally in the world of programming we say floating point numbers for decimal point numbers ex .. {0.25,0.55,...}.It is important to know that binary floating point system can only represent a finite number of floating point numbers in exact form, its because the number of bits used to represent the floating point system, if you exceed that limit then you will loose the precision. Sorry bobbym, I could not get your point. If it is not inconvenient, please elaborate it to an absolute novice. I want to understand, why and when we take refuge with Numerical methods. The example, I had quoted was for a comparison to understand well. Raabi bobbym 2012-11-23 19:57:07 Hi Raabi; Generally to get higher precision you will need to work with higher precision. Raabi 2012-11-23 14:51:30 Hi As an absolute novice in Numeric Analysis, I have another query - How the Numerical methods (Newton, Euler, Taylor, False Positioning etc.) help with higher Accuracy & Precision. I mean, if I calculate an equation with a quality scientific calculator, and then with Newton's method; wouldn't I get the same accuracy to 15 places of decimal, for example? Or, there are some other reasons for using these methods instead of using MS Excel, Scientific calculator, or just Microsoft Math? Please pardon me for asking too basic questions. They may help me grasp the true essence of the subject.
Facilities and Resources Student Common Room Equipped with sofas, desks, blackboards, a fridge and a microwave, this room is an ideal space for students to work collaboratively or take a break. Labs Mathematical Fluids Lab To model fluids more accurately, faculty and students use this lab to compare mathematical predictions, numerical simulations and experimental results. Computational Algebra Lab To gain a deeper understanding of number theoretic and algebraic questions, faculty and students use this lab to generate numerical evidence for mathematical questions in number theory and abstract algebra. Competitions Putnam Exam More than 400 colleges and universities in the U.S. and Canada compete in the annual William Lowell Putnam Mathematical Competition. Bucknell often does well in this contest. In 2004 the Bucknell team placed 10th, higher than any other liberal arts institution in the nation. \|\| LearnMore about the Putnam Exam. John Steiner Gold Exam Bucknell students help to host this mathematical competition organized by the department in memory of a distinguished colleague. Students from public and private high schools as far as 100 miles away participate and compete for team and individual prizes. \|\| LearnMore about the Gold Exam. Mathematical Contest in Modeling The MCM is a nation-wide contest in which teams of undergraduates use mathematical modeling to present their solutions to real world problems. Bucknell often enters multiple teams. In 2010, the team of Dan Cavallaro, Bryan Ward, and Ryan Ward were one of only nine teams in the world to earn the highest designation of "Outstanding Winners" of the MCM. \|\| LearnMore about the MCM. The University supports Windows, Macintosh and Unix environments. Computationally intensive projects can be deployed on the 128-core Linux Computing Cluster. Speakers and Events Mathematicians from academia and industry share valuable information about careers, and students gain exposure to the culture of mathematics and mathematicians. \|\| Find out What's Happening Math Education Tools The department owns a variety of mathematics manipulatives that assist in learning and teaching mathematics. These include items that can be used at the elementary and middle school levels (e.g., pattern blocks, base-10 blocks) as well as the high school and collegiate levels (e.g., Calculator Based Laboratory Units (CBL) with various probes). Mathematical Treasures at the Bertrand Library During a recent visit to Bucknell, Ed Sandifer of Western Connecticut State University noted six mathematical treasures located in the Special Collections of the Betrand Library, including Blundevil's Exercises. Off-campus Study in Math About 45 percent of Bucknell University students take part in an off-campus experience while studying at Bucknell. In recent years, several mathematics majors have participated in the highly prestigious Budapest Semesters in Mathematics program, which allows students from the United States and Canada to meet and engage in an intensive study of mathematics for a semester in Budapest. Other mathematics students have spent semesters in Australia, Chile, England, Ireland, Italy, New Zealand, Scotland and Spain.
Young scholars use a spreadsheet to investigate data. In this algebra lesson plan, students collect and graph data on a coordinate plane. They explain properties of a linear equation both algebraically and orally. Students describe graphically, algebraically and verbally real-world phenomena as functions; identify the independent and the dependent variable. They translate among graphic, algebraic, and verbal representations of relations and graph relations and functions and find the zeros of functions. Finally, students write and interpret an equation of a curve (linear) which models a set of data. Students collect data and create a graph. In this algebra instructional activity, students describe functions graphically, algebraically and verbally. They identify functions as being independent and dependent using variables. Students create graphic, algebraic and verbal ideas of functions. In this algebra instructional activity, students graph functions and identify the zeros of the functions. They find the domain and range and classify functions as relation or not. Students explore linear equation suing real life scenarios. In this algebra lesson, students find the slope and intercept of a line. They create table of values to plot their graph and draw conclusions. Students count from 0-99 using the binary number system. In this algebra lesson, students problem solve by working with faulty circuits and applying their knowledge f Binary Numbers. They work in team to create a solution. Learners analyze the sliding of boxes along a warehouse floor. In this algebra lesson, students connect math and physics by calculating the friction created by the sliding of each box. They develop faster method to move the box, based on their data collection on friction. For this equation of a line worksheet, students determine the equation of a line, use the distance formula to identify the relationship between two moving objects, and solve inequalities algebraically. This two-page worksheet contains seven multi-step problems. Challenge your young scholars' algebra skills with this activity, which presents students with several types of problem sets, including solving inequalities, graphing, word problems, and a set of algebra problems that may or may not require correction by the young scholars. This activity could function well as a long-term homework assignment or midterm. Mathematicians determine the degree of a function, identify its roots, explain the tails, and plot its graph. They synthetically divide algebraic equations. This two-page activity contains 10multi-step problems. This activity looks at polynomial operations from a grahing perspective. Using the basic operations of addition, subtraction, multiplication, and division on polynomials, learners investigate graphs. In addition, regression modeling is done and compared to algebraic results. Students explore the concept of iteration, recursion, and algebra to analyze a changing fish population. In this iteration, recursion, and algebra lesson plan, students explore the effects a change in a parameter has on a graph. Students use an applet to change parameters of a fish population and see the effect on the graph. Students work in a cooperative group of three to solve algebraic equations with roles assigned for manipulator, recorder, and checker. They utilize hands-on learning materials imbedded in the lesson plan.
Plenty of examples, practice problems, and learning tools provide the perfect math review for health professionals! With just the right level of content and highly illustrated example problems, this user-friendly worktext helps you learn and understand fundamental math principles and understand how they apply to patient
Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and a large number of problems of varying levels of difficulty at the end of each chapter. Customers who bought this book also bought: Our Editors also recommend: Elements of Abstract Algebra by Allan Clark Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures. The Algebraic Structure of Group Rings by Donald S. Passman "Highly recommended" (Bulletin of the London Mathematical Society) and "encyclopedic and lucid" (Bulletin of the American Mathematical Society), this book offers a comprehensive, self-contained treatment of group rings. 1985Algebra by Larry C. Grove This graduate-level text is intended for initial courses in algebra that proceed at a faster pace than undergraduate-level courses. Subjects include groups, rings, fields, and Galois theory. 1983 edition. Includes 11 figures. Appendix. References. Index. A Book of Abstract Algebra: Second Edition by Charles C Pinter Accessible but rigorous, this outstanding text encompasses all of elementary abstract algebra's standard topics. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. 1990 edition. Basic Algebra II: Second Edition by Nathan Jacobson This classic text and standard reference comprises all subjects of a first-year graduate-level course, including in-depth coverage of groups and polynomials and extensive use of categories and functors. 1989 edition. Product Description: Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and a large number of problems of varying levels of difficulty at the end of each chapter
Pre-AP: Strategies in Mathematics—Accumulation Using a guided-exploration approach, teachers learn accumulation concepts for grades 6-12. Participants develop problems and learn instructional activities, assessment items, and cross-grade lessons for classroom use. They also learn diagnostic and assessment strategies that help teachers communicate with students and help monitor students' mathematical thinking. Workshop topics include: The concept of area Accumulating distance when speed is constant, changes, or is a function Agenda Accumulation and the Concept of Area Accumulating Distance When Speed Is Constant Accumulating Distance When Speed Changes Accumulating Distance When Speed Is a Function Velocity Distinct from Speed The Big Picture of Accumulation Workshop author Jim Choike is a professor of mathematics at Oklahoma State University (OSU). He has been involved with the College Board for 20 years as an AP Reader, workshop presenter, curriculum developer, and professional development specialist. Mr. Choike has also worked on the College Board's: Pathways to Equity and Excellence, Pacesetter, CLEP, SAT, and SpringBoard programs. He teaches undergraduate and graduate mathematics courses at OSU and uses his summer months to work with middle and high school teachers and their students.
Analysis Qualifying Exams Syllabus Topics This exam will test your working knowledge of basic real, complex and functional analysis. You will be required to demonstrate an ability to use standard results and techniques to solve problems, including special cases of standard theorems which do not require long arguments. We will not emphasize the memorization of statements of theorems nor of long proofs of standard theorems. The student is urged to work on the problems in the relevant sections and chapters in the reference books. The syllabus is divided into the topics of Complex Analysis and Real and Functional Analysis. Complex Analysis 1. Definition of Holomorphic fuctions with examples, including logarithms, roots, and Möbius transformations. 2. Cauchy-Riemann Equations. 3. Power Series Expansion and applications including the Identity Theorem. Real and Functional Analysis A. Real Analysis on the Real Line σ-algebra, Borel sets, construction of Lebesgue measure, measurable sets, how to approximate a Lebesgue measurable set with positive measure from outside and inside, Cantor set, measurable functions, f(g(x)) is measurable if f is continuous and g is measurable. Convergence a.e., convergence in measure, convergence in the mean and how they are related to each other, Egorov's Theorem, Luzin's Theorem.
Modeling with Mathematics: A Fourth Year Course gives high school mathematics an effective option for introducing students to engaging applications of algebra and geometry in the world around them. As they model those applications with a functions approach, students gain a deeper grasp of the fundamental mathematical concepts at work.
0133737iencing Geometry: On Plane and Sphere The book conveys a distinctive approach, stimulating readers to develop a broader, deeper understanding of mathematics through active participation -- including discovery, discussion, and writing about fundamental ideas. It provides a series of interesting, challenging problems, then encourages readers to gather their reasonings and understandings of each
Formats Trade in A History of Mathematics: An Introduction for an Amazon.co.uk gift card of up to £7.80, which you can then spend on millions of items across the site. Trade-in values may vary (terms apply). Learn more "A History of Mathematics" gives a profound review of the mathematical revolution strongly interwoven within human history. Each chapter contains a well organized overview of the mathematical developments with anecdotal episodes about the heroes. Although mathmatical knowledge is required to fully bask in this book, non-mathemticians could enjoy it very much. Katz's book is one of the best general works on the history of Mathematics around! Its over-riding feature is that it is a TEXTBOOK - one that can be used for systematic study of the subject. Though tilted in favour of the mathematically inclined reader, the author has managed to connect the Maths to the History. The book has numerous topical exercises, sidebars and focus essays, which makes the subject easily accessible to the student. Yet, the structure and presentation are such that they also allow the book to be used simply as a reference or one that can be read purely for interest. Each chapter is followed by Exercises to assist the student to assess their learning and copious references that can be followed up for more details. As with most good books of this genre, Mathematical developments from the last four centuries or so are most comprehensively presented. All the material is here: the "tussle" between Algebra and Geometry, the formal beginnings of the Calculus, the growth of Analysis, the development of new Mathematical techniques to tackle problems in Physics, and Probability mathematics. The book places these developments within the socio-political context. Each chapter and main section starts with a preamble setting out the environment, the stimuli for the mathematical development to be discussed, etc. So, important events like the Renaissance, the French Revolution, etc. are discussed. In this regard, the use of Biography boxes for the main characters in the story of Mathematics helps to render the book more accessible to readers who may not be Mathematical. For instance, the chapter on Differential Equations would be inaccessible to the non-Mathematical reader were it not for such boxes retelling the lives and times of people like Bernoulli, Euler, Lagrange, and Laplace. The early chapters deal with Babylonian and Greek developments, the latter with well presented biographies of Aristotle, Plato, and Euclid, among others. The chapters on the mathematics of the Arabs is well balanced, whilst that on India and China is possibly the best I have seen in a "mainstream" work of this type. Where other authors like Morris Kline have almost totally ignored the contributions of these cultures to the subject, Katz has done a fine job. To note a couple of examples: (1) India as the rightful source of the decimal place value system; (2) Bhramagupta's research into what it usually known as Pell's equation, some 1000 years before Pell, and, (3) Madhava's derivation of the power series for the arcsine and his appreciation of convergence over 200 years before Gregory. Overall, a very good book that, like Edna Kramer's work, adds to the accessibility of a stimulating subject that is at the heart of the intellectual development of mankind.Read more ›
More About This Textbook Overview This book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. A certain number of concepts are essential for all three of these areas, and are so basic and elementary, that it is worthwhile to collect them together so that more advanced expositions can be given without having to start from the very beginning. The concepts are concerned with the general basic theory of differential manifolds. As a result, this book can be viewed as a prerequisite to Fundamentals of Differential Geometry. Since this book is intended as a text to follow advanced calculus, manifolds are assumed finite dimensional. In the new edition of this book, the author has made numerous corrections to the text and he has added a chapter on applications of Stokes' Theorem. Editorial Reviews From the Publisher From the reviews: "This volume is an introduction to differential manifolds which is intended for post-graduate or advanced undergraduate students. … Basic concepts are presented, which are used in differential topology, differential geometry, and differential equations. Charts are used systematically … . The book is well readable, and it is of interest not only for mathematicians, but also for theory-oriented researchers in applied sciences, who need an introduction to this important topic." (I. Troch, Internationale Mathematische Nachrichten, Issue 196, 2004) "The author recommends his text to 'the first year graduate level or advanced undergraduate level' … . his explanation is very precise, with rich formalism and with maximum generality … . In summary, this is an ideal text for people who like a more general and abstract approach to the topic." (EMS, June, 2003) "The book offers a quick introduction to basic concepts which are used in differential topology, differential geometry and differential equations. … The bibliography contains important new titles in studying differential geometry. A large index is also included. This is an interesting Universitext (for students – the first year graduate level or advanced undergraduate level), with important concepts concerning the general basic theory of differential manifolds." (Corina Mohorianu, Zentralblatt MATH, Vol. 1008
.... read more A Geometric Introduction to Topology by C. T. C. Wall First course in algebraic topology for advanced undergraduates. Homotopy theory, the duality theorem, relation of topological ideas to other branches of pure mathematics. Exercises and problems. 1972 edition. Counterexamples in Topology by Lynn Arthur Steen, J. Arthur Seebach, Jr. Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Numerous problems and exercises correlated with examples. 1978 edition. Bibliography. An Introduction to Algebraic Topology by Andrew H. Wallace This self-contained treatment begins with three chapters on the basics of point-set topology, after which it proceeds to homology groups and continuous mapping, barycentric subdivision, and simplicial complexes. 1961 edition. General Topology by Stephen Willard Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Includes historical notes and over 340 detailed exercises. 1970 edition. Includes 27 figures. Introduction to Topology: Third Edition by Bert Mendelson Concise undergraduate introduction to fundamentals of topology — clearly and engagingly written, and filled with stimulating, imaginative exercises. Topics include set theory, metric and topological spaces, connectedness, and compactness. 1975 edition. Topology for Analysis by Albert Wilansky Three levels of examples and problems make this volume appropriate for students and professionals. Abundant exercises, ordered and numbered by degree of difficulty, illustrate important topological concepts. 1970 editionPoint Set Topology by Steven A. Gaal Suitable for a complete course in topology, this text also functions as a self-contained treatment for independent study. Additional enrichment materials make it equally valuable as a reference. 1964 edition. Product Description:
Math 1220 - Quantitative Literacy This is an information sheet only, not the course syllabus. Designed to fulfill general education requirements, and not designed as a prerequisite for any other college mathematics course. Provides the basic numeracy needed by a college graduate to reason about quantities, their magnitudes, and their relationships between and among other quantities. Topics include linear systems, linear programming, analysis and interpretation of graphs, logic and reasoning, descriptive statistics, the normal distribution, statistical inference, estimation and approximation. Prerequisite: Demonstrated geometry competency (level 2), and Mathematics 0482 (or college equivalent) with a grade of "C" or better or a qualifying score on the mathematics placement test or a qualifying A.C.T. math score (3 lecture hours)
recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Grobner bases and resultants.In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more advanced than one typically encounters in a first course, but nonetheless of great utility. The book is written for nonspecialists and for readers with a diverse range of backgrounds. It assumes knowledge of the material covered in a standard undergraduate course in abstract algebra, and it would help to have some previous exposure to Grobner bases. The book does not assume the reader is familiar with more advanced concepts such as modules. For this new edition the authors added two new sections and a new chapter, updated the references and made numerous minor improvements throughout the text. less
last chapter of this course we will be taking a look at a couple of applications of integrals. There are many other applications, however many of them require integration techniques that are typically taught in Calculus II. We will therefore be focusing on applications that can be done only with knowledge taught in this course. Because this chapter is focused on the applications of integrals it is assumed in all the examples that you are capable of doing the integrals. There will not be as much detail in the integration process in the examples in this chapter as there was in the examples in the previous chapter.
Foundations of Mathematical & Computational Economics 9780324235838 ISBN: 0324235836 Edition: 1 Pub Date: 2006 Publisher: Thomson Learning Summary: Economics doesn't have to be a mystery anymore. FOUNDATIONS OF MATHEMATICAL AND COMPUTATION ECONOMICS shows you how mathematics impacts economics and econometrics using easy-to-understand language and plenty of examples. Plus, it goes in-depth into computation and computational economics so you'll know how to handle those situations in your first economics job. Get ready for both the test and the workforce with this ...economics textbook. Dadkhah, Kamran is the author of Foundations of Mathematical & Computational Economics, published 2006 under ISBN 9780324235838 and 0324235836. Five hundred sixty six Foundations of Mathematical & Computational Economics textbooks are available for sale on ValoreBooks.com, one hundred twelve used from the cheapest price of $37.11, or buy new starting at $75.05
Rock Hill Middle Schools Grade Level/Course : 6th Grade (Pre-Algebra) 1st nine weeks 2nd nine weeks 3rd nine weeks 4th nine weeks Weeks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 Number & Equations/Inequal Exponents/Squar Angles, Symmetry Transformations, Big Idea Operations ities e Roots Equations/Inequalities with Fracs & Decis DA & Prob & Similarity Perimeter & Area Measurement DA & Prob Proportional Reasoning 6-3.2 6-2.3 6-4.9 6-4.2 8-5.2 6-6.4 7-2.4 6-2.7 6-6.1 6-5.6 8-2.5 6-3.4 6-2.9 7-2.3 7-6.1 7-4.5 6-4.5 8-5.3 7-6.7 6-2.6 6-2.2 8-3.3 7-2.2 8-2.4 6-6.2 7-4.10 6-4.6 6-5.1 8-6.3 7-2.5 7-2.3 6-3.3 7-2.3 6-2.5 6-6.3 6-4.8 7-4.9 6-5.2 6-6.5 7-3.6 8-2.4 6-3.5 7-2.10 6-3.3 8-6.8 7-4.6 8-4.3 6-5.3 7-6.5 7-3.7 6-4.1 8-3.2 7-2.6 6-3.5 7-6.2 7-4.1 8-4.4 7-5.2 7-6.6 7-5.1 7-2.8 8-3.3 7-2.7 7-2.9 7-6.3 6-4.7 6-5.5 8-5.4 8-6.4 8-2.7 8-2.1 6-2.8 8-2.2 7-6.4 7-4.7 6-5.4 7-5.3 8-6.5 6-2.1 8-2.6 8-3.2 8-6.1 7-4.8 8-5.5 8-6.6 7-2.1 Indicators 6-3.3 8-2.1 8-6.2 8-5.1 7-4.2 8-6.7 6-5.7 8-3.3 7-3.2 6-4.3 7-4.3 7-6.8 7-3.2 / 7-3.3 6-3.1 6-4.4 7-4.4 8-3.6 7-3.1 8-4.1 8-3.7 8-2.6 7-5.4 8-4.2 8-3.4 7-5.5 8-3.1 8-2.3 8-5.6 8-3.5 6-2.4 8-5.7 6-2.6 7-3.4 7-3.5 State Testing 8-2.1 Apply an algorithm to add, subtract, multiply, and divide integers. 8-2.2 Understand the effect of multiplying and dividing a rational number by another rational number. 8-2.3 Represent the approximate location of irrational numbers on a number line. 8-2.4 Compare rational and irrational numbers by using the symbols ≤, ≥, <, >, and =. 8-2.5 Apply the concept of absolute value. Indicators 8-2.6 Apply strategies and procedures to approximate between two whole numbers the square roots or cube roots of numbers less than 1,000. 8-2.7 Apply ratios, rates, and proportions. 8-3.1 Translate among verbal, graphic, tabular, and algebraic representations of linear functions. 8-3.2 Represent algebraic relationships with equations and inequalities. 8-3.3 Use commutative, associative, and distributive properties to examine the equivalence of a variety of algebraic expressions. 8-3.4 Apply procedures to solve multistep equations. 8-3.5 Classify relationships between two variables in graphs, tables, and/or equations as either linear or nonlinear. 8-3.6 Identify the coordinates of the x- and y- intercepts of a linear equation from a graph, equation, and/or table. 8-3.7 Identify the slope of a linear equation from a graph, equation, and/or table. 8-4.1 Apply the Pythagorean theorem. Rock Hill Middle Schools Grade Level/Course : 6th Grade (Pre-Algebra) 8-4.2 Use ordered pairs, equations, intercepts, and intersections to locate points and lines in a coordinate plane. 8-4.3 Apply a dilation to a square, rectangle, or right triangle in a coordinate plane. 8-4.4 Analyze the effect of a dilation on a square, rectangle, or right triangle in a coordinate plane. 8-5.1 Use proportional reasoning and the properties of similar shapes to determine the length of a missing side. 8-5.2 Explain the effect on the area of two-dimensional shapes and on the volume of three-dimensional shapes when one or more of the dimensions are changed. 8-5.3 Apply strategies and formulas to determine the volume of the three-dimensional shapes cone and sphere. 8-5.4 Apply formulas to determine the exact (pi) circumference and area of a circle. 8-5.5 Apply formulas to determine the perimeters and areas of trapezoids. 8-5.6 Analyze a variety of measurement situations to determine the necessary level of accuracy and precision. 8-5.7 Use multistep unit analysis to convert between and within U.S. Customary System and the metric system. 8-6.1 Generalize the relationship between two sets of data by using scatterplots and lines of best fit. 8-6.2 Organize data in matrices or scatterplots as appropriate. 8-6.3 Use theoretical and experimental probability to make inferences and convincing arguments about an event or events. 8-6.4 Apply procedures to calculate the probability of two dependent events. 8-6.5 Interpret the probability for two dependent events. 8-6.6 Apply procedures to compute the odds of a given event. 8-6.7 Analyze probability using area models. Indicators 8-6.8 Interpret graphic and tabular data representations by using range and the measures of central tendency (mean, median, and mode). 7-2.1 Understand fractional percentages and percentages greater than one hundred. 7-2.2 Represent the location of rational numbers and square roots of perfect squares on a number line. 7-2.3 Compare rational numbers, percentages, and square roots of perfect squares by using the symbols ≤, ≥, <, >, and =. 7-2.4 Understand the meaning of absolute value. 7-2.5 Apply ratios, rates, and proportions to discounts, taxes, tips, interest, unit costs, and similar shapes. 7-2.6 Translate between standard form and exponential form. 7-2.7 Translate between standard form and scientific notation. 7-2.8 Generate strategies to add, subtract, multiply, and divide integers. 7-2.9 Apply an algorithm to multiply and divide fractions and decimals. 7-2.10 Understand the inverse relationship between squaring and finding the square roots of perfect squares. 7-3.1 Analyze geometric patterns and pattern relationships. 7-3.2 Analyze tables and graphs to describe the rate of change between and among quantities. 7-3.3 Understand slope as a constant rate of change. 7-3.4 Use inverse operations to solve two-step equations and two-step inequalities. 7-3.5 Represent on a number line the solution of a two-step inequality. 7-3.6 Represent proportional relationships with graphs, tables, and equations. 7-3.7 Classify relationships as either directly proportional, inversely proportional, or nonproportional. 7-4.1 Analyze geometric properties and the relationships among the properties of triangles, congruence, similarity, and transformations to make deductive arguments. 7-4.2 Explain the results of the intersection of two or more geometric shapes in a plane. Rock Hill Middle Schools Grade Level/Course : 6th Grade (Pre-Algebra) 7-4.3 Illustrate the cross section of a solid. 7-4.4 Translate between two- and three-dimensional representations of compound figures. 7-4.5 Analyze the congruent and supplementary relationships—specifically, alternate interior, alternate exterior, corresponding, and adjacent—of the angles formed by parallel lines and a transversal. 7-4.6 Compare the areas of similar shapes and the areas of congruent shapes. 7-4.7 Explain the proportional relationship among attributes of similar shapes. 7-4.8 Apply proportional reasoning to find missing attributes of similar shapes. 7-4.9 Create tessellations with transformations. 7-4.10 Explain the relationship of the angle measurements among shapes that tessellate. 7-5.1 Use ratio and proportion to solve problems involving scale factors and rates. Indicators 7-5.2 Apply strategies and formulas to determine the surface area and volume of the three-dimensional shapes prism, pyramid, and cylinder. 7-5.3 Generate strategies to determine the perimeters and areas of trapezoids. 7-5.4 Recall equivalencies associated with length, mass and weight, and liquid volume: 1 square yard = 9 square feet, 1 cubic meter = 1 million cubic centimeters, 1 kilometer = 5 mile, 1 inch = 2.54 centimeters; 1 kilogram = 2.2 pounds; and 8 1.06 quarts = 1 liter. 7-5.5 Use one-step unit analysis to convert between and within the U.S. Customary System and the metric system. 7-6.1 Predict the characteristics of two populations based on the analysis of sample data. 7-6.2 Organize data in box plots or circle graphs as appropriate. 7-6.3 Apply procedures to calculate the interquartile range. 7-6.4 Interpret the interquartile range for data. 7-6.5 Apply procedures to calculate the probability of mutually exclusive simple or compound events. 7-6.6 Interpret the probability of mutually exclusive simple or compound events. 7-6.7 Differentiate between experimental and theoretical probability of the same event. 7-6.8 Use the fundamental counting principle to determine the number of possible outcomes for a multistage event. 6-2.1 Understand whole-number percentages through 100. 6-2.2 Understand integers. 6-2.3 Compare rational numbers and whole-number percentages through 100 by using the symbols ≤, ≥, <, >, and =. 6-2.4 Apply an algorithm to add and subtract fractions. 6-2.5 Generate strategies to multiply and divide fractions and decimals. 6-2.6 Understand the relationship between ratio/rate and multiplication/division. 6-2.7 Apply strategies and procedures to determine values of powers of 10, up to 10 6. 6-2.8 Represent the prime factorization of numbers by using exponents. 6-2.9 Represent whole numbers in exponential form. 6-3.1 Analyze numeric and algebraic patterns and pattern relationships. 6-3.2 Apply order of operations to simplify whole-number expressions. 6-3.3 Represent algebraic relationships with variables in expressions, simple equations, and simple inequalities. 6-3.4 Use the commutative, associative, and distributive properties to show that two expressions are equivalent. Rock Hill Middle Schools Grade Level/Course : 6th Grade (Pre-Algebra) 6-3.5 Use inverse operations to solve one-step equations that have whole-number solutions and variables with whole-number coefficients. 6-4.1 Represent with ordered pairs of integers the location of points in a coordinate grid. 6-4.2 Apply strategies and procedures to find the coordinates of the missing vertex of a square, rectangle, or right triangle when given the coordinates of the polygon's other vertices. 6-4.3 Generalize the relationship between line symmetry and rotational symmetry for two-dimensional shapes. 6-4.4 Construct two-dimensional shapes with line or rotational symmetry. Indicators 6-4.5 Identify the transformation(s) used to move a polygon from one location to another in the coordinate plane. 6-4.6 Explain how transformations affect the location of the original polygon in the coordinate plane. 6-4.7 Compare the angles, side lengths, and perimeters of similar shapes. 6-4.8 Classify shapes as similar. 6-4.9 Classify pairs of angles as either complementary or supplementary. 6-5.1 Explain the relationships among the circumference, diameter, and radius of a circle. 6-5.2 Apply strategies and formulas with an approximation of pi (3.14, or 22 to find the circumference and area of a circle. ) 7 6-5.3 Generate strategies to determine the surface area of a rectangular prism and a cylinder. 6-5.4 Apply strategies and procedures to estimate the perimeters and areas of irregular shapes. 6-5.5 Apply strategies and procedures of combining and subdividing to find the perimeters and areas of irregular shapes. 6-5.6 Use proportions to determine unit rates. 6-5.7 Use a scale to determine distance. 6-6.1 Predict the characteristics of one population based on the analysis of sample data. 6-6.2 Organize data in frequency tables, histograms, or stem-and-leaf plots as appropriate. 6-6.3 Analyze which measure of central tendency (mean, median, or mode) is the most appropriate for a given purpose. 6-6.4 Use theoretical probability to determine the sample space and probability for one- and two-stage events such as tree diagrams, models, lists, charts, and pictures. 6-6.5 Apply procedures to calculate the probability of complementary
Algebra, Trigonometry, & Statistics by Steven Carley Price: $0.99 USD. Approx. 3,620 words. Language: English. Published on June 18, 2013. Category: Nonfiction » Science and Nature » Mathematics. "Algebra, Trigonometry, and Statistics" helps in explaining different theorems and formulas within the three branches of mathematics. Use this guide in helping one better understand the properties and rules within Algebra, Trigonometry, and Statistics.
Precalculus - 7th edition Summary: Get a good grade in your precalculus course with PRECALCULUS, Seventh Edition. Written in a clear, student-friendly style, the book also provides a graphical perspective so you can develop a visual understanding of college algebra and trigonometry. With great examples, exercises, applications, and real-life data--and a range of online study resources--this book provides you with the tools you need to be successful in your course
Example 18 Making a lawn Suppose you have some friends who are planning to put a new lawn in their garden. The lawn is to be 12 m by 14 m and they have a choice of either laying turf or sowing grass seed. You have been asked to help them decide between the two mathematics, some words are used in a more precise way than in English. It is important that a mathematical argument is unambiguous; therefore words that can be used in several contexts in English usually take only one meaning in mathematics. For instance, in English the word 'sum' might mean any calculation, but it has a precise mathematical meaning as exemplified by 'The sum of 456 and 789 is 1245'. Similarly, in English the word 'product' can have a variety of meanings lot of people use the equals sign wrongly in places where another word or phrase might actually make the meaning clearer. Sometimes a link word or phrase is useful at the beginning of a mathematical sentence: examples include 'So', 'This implies' or 'It follows that' or 'Hence'. Example 3 mentioned in the animation in Section 1.2 writing mathematics has a lot in common with writing English. When you write mathematics, you should write in the equivalent of sentences, with full stops at the end. As in English, each new statement should follow on logically from the previous one or it should contain an indication that a new idea is being introduced. However, laying out mathematics differs from laying out English: because mathematics is more condensed than written English aim of this section is to show an application of distance-time graphs in the operation of a railway service. You will need graph paper for this section. This section uses the video 'Single track minders' to illustrate how distance-time graphs are drawn and interpreted by the timetable planners of a small railway company, and shows the role of this graphical technique in planning a flexible service. Graphical representations of journeys have been used for over a centur drawing a distance-time graph, Alice has predicted that she and Bob will pass on the stretch of road between Newcastle and Nottingham. Using the OU's computer system, she sends an email message to Bob suggesting that they meet at a roadside restaurant about 275 km north of Milton Keynes (for Bob this will be 510 − 275 = 235km south of Edinburgh). Bob acknowledges her email and the meeting is set up. Alice guesses they will probably stop for about 30 minutes. But what effect will should now be able to interpret distance-time graphs, and be able to use them to find information about the average speed, the distance travelled and the time taken for different sections of a journey. Given any two of these quantities you should be able to identify and use the appropriate formula to find the third. An important feature of a straight-line graph is its gradient. The gradient, or slope, of a graph expresses a relationship between a change measured along the horizontalDistance-time graphs are a means of replacing a description given in words by a mathematical description of the same event. What follows is a narrative account: that is, a description in the form of story about a bicycle ride. Read the story and then think about how you would use this account to produce a mathematical model of the ride in the form of a distance-time graph. Sunday started a bit cloudy. The temperatu separate lines are combined into one overall distance-time graph representing the entire journey, as shown in Figure 44. The times for the sections are added together, so that the scale on the horizontal axis shows the total time that has elapsed since leaving Paris. Similarly, the distances of the sections are combine Eurostar train service that connects London and Paris via the tunnel under the English Channel (la Manche) covers a distance of about 380 km in three hours in 1996. Assuming a constant speed, what would the distance-time graph of this journey look like? Take the Gare du Nord (the Northern Station) in Paris as the start and measure time and distance from there. The vertical axis formulas for speed, distance and time are all examples of mathematical models. Here, you should bear in mind that such models stress some aspects of travelling but ignore others. Building a mathematical model involves making some assumptions, and usually this involves disregarding those inconvenient aspects of real-world events which can not easily be fitted into a mathematical description. Take, for example, the model s = d/t used to calculate speed. DividingRepresenting 'sums of money, and time, by parts of space', as Playfair put it, may indeed seem obvious and readily agreed, but nevertheless graphics showing the rise and fall of profits, expenditure or interest rates over time often need to be approached carefully. As the inventor of the bar chart (or bar graph), Playfair might well have raised a quizzical eyebrow at the example
540. HISTORY OF MATHEMATICS. Development of mathematics, especially algebra, geometry, and analysis; lives and works of Euclid, Pythagoras, Cardan, Descartes, Newton, Euler, and Gauss. Prerequisite: Math 305 or consent of instructor. (3). 545. SELECTED TOPICS IN MATHEMATICS FOR SECONDARY SCHOOL TEACHERS. High school subjects from an advanced point of view; their relation to the more advanced subjects. (3). 555. ADVANCED CALCULUS I. Suprema and infima on the real line, limits, liminf and limsup of a sequence of reals, convergent sequences, Cauchy sequences, series, absolute and conditional convergence of series. Prerequisite requirements for this course may also be satisfied by consent of instructor. Prerequisite: Math 305 with minimum grade of C. (3) 572. INTRODUCTION TO PROBABILITY AND STATISTICS. Emphasis on standard statistical methods and the application of probability to statistical problems. Prerequisite: MATH 264. (3). 573. APPLIED PROBABILITY. Emphasis on understanding the theory of probability and knowing how to apply it. Proofs are given only when they are simple and illuminating. Among topics covered are joint, marginal, and conditional distributions, conditional and unconditional moments, independence, the weak law of large numbers, Tchebycheff's inequality, Central Limit Theorem. Prerequisite: MATH 264. (3). 574. PROBABILITY. Topics introduced in MATH 573 will be covered at a more sophisticated mathematical level. Additional topics will include the Borel-Cantelli Lemma, the Strong Law of Large Numbers, characteristic functions (Fourier transforms). Prerequisite: MATH 573. (3). 590. TECHNIQUES IN TEACHING COLLEGE MATHEMATICS. Directed studies of methods in the presentation of college mathematics topics, teaching and testing techniques. Z grade. This course is required of all teaching assistants, each semester, and may not be used for credit toward a degree. Prerequisite: departmental consent. (1-3). 597. SPECIAL PROBLEMS. (1-3). 598, 599. SPECIAL PROBLEMS. (Same as MATH 597). 625. MODERN ALGEBRA I. Advanced group theory. (3) 626. MODERN ALGEBRA II. Advanced theory of rings and fields, including Galois theory and modules. (3) 631. FOUNDATIONS OF GEOMETRY. Development of Euclidean geometry in two and three dimensions using the axiomatic method; introduction to high dimensional Euclidean geometry and to non-Euclidean geometrics. (3). 679. STATISTICAL BIOINFORMATICS. Introduction to bioinformatics—an interdisciplinary study that combines techniques and knowledge in mathematical, statistical, computational, and life sciences in order to understand the biological significance of genetic sequence data. Prerequisite: Math 575 with minimum grade of C. (3)(3). 681. GRAPH THEORY I. Primarily topics in Matroid Theory including duality, minors, connectivity, graphic matroids, representable matroids, and matroid structure. Connections between the class of matroids with the classes of graphs and projective geometries are also studied. (3)
How and why we do mathematical proofs This is a module framework. It can be viewed online or downloaded as a zip file. As taught in Autumn Semester 2009/10 The aim of this short unit is to motivate students to understand why we might want to do proofs (why proofs are important and how they can help us) and to help students with some of the relatively routine aspects of doing proofs. In particular, the student will learn the following: * proofs can help you to really see why a result is true; * problems that are easy to state can be Author(s): Feinstein Joel F. Dr License information Related content No related items provided in this feed Mathematics for Chemistry Workbook A workbook for chemists on the underlying mathematics needed to study chemistry at beginning undergraduate level. Videos of worked solutions to many of the problems in this workbook can be also found in JORUM Author(s): Patrick J O\'Malley Rocio Garay Rocio Garay, a sophomore chemical engineering major from Cleveland, attended Carnegie Mellon's Summer Academy for Mathematics and Science (SAMS) as a rising high school junior. SAMS is a program designed to increase the number of outstanding college-bound students from diverse backgrounds who pursue education in science, technology, engineering and math (STEM) disciplines. She reflects on her time in the program and how it helped her develop more confidence in pursuing a career in engineering. Author(s): No creator set License information Related content No related items provided in this feed SAMS - Damian Dourado Damian Dourado, assistant director of Carnegie Mellon's Summer Academy for Mathematics and Science (SAMS), discusses the program and its goal to increase the number of outstanding college-bound students from diverse backgrounds who pursue education in science, technology, engineering and math (STEM) disciplines. For more information about SAMS, visit: 338J Infinite Random Matrix Theory (MIT) In this course on the mathematics of infinite random matrices, students will learn about the tools such as the Stieltjes transform and Free Probability used to characterize infinite random matrices. Author(s): Win, Moe,Edelman, AlanElementary Partial Differential Equations and Applications This book grew out of a two-quarter sequence of undergraduate courses offered at the University of California (UCSB), for science majors, engineers and mathematicians. These courses along with a two-quarter sequence on ordinary differential equations (ODEs) and dynamical systems constitute the applied mathematics courses for the Program in Scientific Computations, a joint program between the mathematics department and the College of Engineering at UCSB. Author(s): No creator set License information Related content No related items provided in this feed NASA KSNN What does a mathematician do? We live in a world filled with mathematics. You measure and count from the moment you wake up. A measuring and counting device, called a clock, probably wakes you. There is a lot of mathematics behind the design of clocks. Author(s): No creator set License information Related content No related items provided in this feed NASA CONNECT The Measurement of All Things: Atmospheric Detectives In NASA CONNECT Atmospheric Detectives, NASA scientists and researchers introduce students to the study of atmospheric science. They demonstrate the use of mathematics and remote sensing to measure the amount of aerosols in the atmosphere and how human activity contribute to the amount of these aerosols in the atmosphere. Grades 4-8 Author(s): No creator set
Integrals Teacher Resources Find Integrals educational ideas and activities Title Resource Type Views Grade Rating Humongous Calculus problem of the day - "Two hikers begin ..." Use the properties of indefinite integers and indefinte integrals to solve this problem. Six practice problems are included with space to do the work, as well as a suggestion of ten homework problems from the book. Students explore scatter functions. In this pre-calculus lesson, students model data, evaluate the function and use their model to interpolate or predict end behavior of the function. The lesson employs the use of a graphing calculator. Learners calculate area under a curve using Riemann Sums. In this calculus lesson, students investigate the integral through estimation and calculation. They compare their approximate answer to their true answer. In this college level calculus worksheet, students evaluate the given integrals and compute the given limits or show that the limit does not exist. The three page worksheet contains ten problems. Answers are not provided. In this A.P. Calculus worksheet, students complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields. Some of the problems are multiple choice, while others are free-response. In this calculus worksheet, students observe the graph the function and identify the interval as increasing or decreasing. They identify the critical points and perform integration. There are 4 questions. Students read about AP calculus online. In this calculus lesson, students learn real life usage for calculus. They read about instructors and their experience teaching and incorporating calculus into the real world. Learners discover the ratio between arc length and radius. In this ratio between arc length and radius instructional activity, students use the Ti-Nspire to determine how arc length and radius are related. Learners determine the arc length measure in radians. Students use the arcLen command on the Ti-Nspire to find the arc length measure in radians. In this integrals worksheet, students solve and complete 20 various types of problems. First, they evaluate each of the listed integrals shown. Then, students find the area under the graph given and above the x-axis between two points. They also find the total area bound by the x-axis and a given graph. In this integral learning exercise, students determine the area of a region bounded by given lines. They compute the volume of a solid in a specified region. This two-page learning exercise contains 10 multi-step problems. Learners use the Fundamental Theorem of Calculus to solve problems. In this calculus lesson, students use the TI to solve the graphing porting of the problem. They practice graphing functions and discuss their place in the real world.
Looking to basic requirements of Gujarati community for knowing Gujarati meaning of English words, we have introduced G-DICTIONARY with database of 1,00,000 + words. It provides Gujarati meanings along with the pronounciation of the same in English. Mathematics Tools is a tools that help people in solving Mathematical problems such as: - Solving quadratic equation and cubic equation - Solving System of equations (2 or 3 unknowns) - Working in the Base Number System - Practice: Calculate the
Beginning Math Concepts for Game Developers 9781598632903 ISBN: 1598632906 Edition: 1 Pub Date: 2006 Publisher: Course Technology Summary: Successful game programmers understand that in order to take their skills beyond the basics, they must have an understanding of central math topics; however, finding a guide that explains how these topics relate directly to games is not always easy. Beginning Math Concepts for Game Developers is the solution! It includes several hands-on activities in which basic math equations are used for the creation of graphs and..., ultimately, animations. By the time you finish, you will have developed a complete application from the ground up that allows you to endlessly explore game development scenarios for 2D games. If you have a basic understanding of programming essentials and a desire to hone your math skills, then get ready to take a unique journey that examines what is possible when you combine game development with basic math concepts. Flynt, John P. is the author of Beginning Math Concepts for Game Developers, published 2006 under ISBN 9781598632903 and 1598632906. Three hundred sixty four Beginning Math Concepts for Game Developers textbooks are available for sale on ValoreBooks.com, one hundred seven used from the cheapest price of $8.95, or buy new starting at $15.76
Buchberger's algorithm is an important tool for computations in commutative algebra and algebraic geometry. Using this algorithm one can compute a Gröbner base of an ideal in a polynomial ring (or, more generally, of a submodule of a free module over a polynomial ring). This algorithm is implemented in many computer algebra systems, which allow the effective performance of many constructions in algebra and algebraic geometry (e.g., syzygies, Hilbert polynomials, primary decomposition, etc.). – The book gives a good introduction into these problems. On the base of an introduction to algebraic geometry and the relationship between algebra and algebraic geometry, Buchberger's algorithm is explained. First applications are solutions of the ideal membership problem, solving polynomial equations followed by the chapter about elimination theory. – The book contains also applications concerning robotics, automatic geometry theorem proving, invariant theory of finite groups. The computational question is always related to basic topics of algebraic geometry (Hilbert basis theorem, the Nullstellensatz, invariant theory, projective geometry, dimension theory, etc.). In an appendix several computer algebra systems (Maple, Mathematica, Reduce, etc.) are introduced and discussed. – The book contains a lot of exercises. It is a good introduction for students of algebraic geometry taking care of the growing importance of computational techniques. Compared to the first edition, some proofs have been improved, some chapters have been rewritten, respectively added (for instance, one chapter with Bezout's theorem).
About Basics of Math Olympiad BASICS OF MATH OLYMPIAD: VOLUME 1-4 The Basics of Math Olympiad series covers the fundamentals of mathematical problem solving in four accessible volumes. This series is highly recommended as a starter text for students and math enthusiasts who are interested to master the finer points of mathematical problem solving, as well as to prepare for olympiad competitions. The lessons in this series assume minimal background knowledge, and are organized in ten easy-to-follow chapters, each complete with examples, exercises and problems. This is the first book of its kind to be published in Malaysia. The author is the head trainer of the Malaysia team to the International Mathematical Olympiad (IMO). The series (vol 1 to 4) will be used as a text for the course, so we will give everyone a set. The price of the books is included in the registration fee. If you already bought part of the set, then please bring it along and we will only provide the rest of the set and also deduct the reg fee. Hi tcchuin, 1. click on the "order form" above 2. fill in the form 3. bank-in price + shipping, also you can pay by cheque 4. send form by fax (preferred) or mail 5. once we receive the order, we will process it. shipping usually takes 1 business day Hai, I am a Maths teacher from JB. I would like to know where can I get those books? Is there any offer price for teachers? I would like to raise more awareness on Maths in my school. Aside that than you have any training course in Johor Baru? Hi. I am 17 years old and already finished in spm…… i decide to fill my 3 month holiday with mathematical olympiad…….. i really interest to participate in the competition……….. how can i learn……. and when the competition begin…… how i can enter….. MALAYSIAN COMPUTING COMPETITION 2013 My Amazon.com Wishlist SUHAIMI RAMLY I am an entrepreneur and educator. I am based in Kuala Lumpur, Malaysia. Many people know me as Bal. This is the nickname that I am stuck with since high school. My day job is running two companies I founded in 2007: Aidan Corporation (an IT company) and ArdentEdu (an educational consulting company). Both companies are based in KL. Since 2006, I have been training the Malaysian national team to the International Mathematical Olympiad (IMO). Also, I volunteer as an MIT Educational Counselor. I conduct interviews for MIT applicants from Malaysia. I founded the Malaysian Informatics and Programming Society (MIPS) in 2011, to disseminate algorithmic thinking and programming education among high school students. MIPS run the Malaysian Computing Competition, which is open to all Malaysian school students, and the Malaysian Computing Olympiad, which is an invitation-only programming contest. Since 2012, I am the Director of Kangaroo Math Competition (KMC) Malaysia. KMC is the largest math competition in the world, with more than 6 million participants annually.
CSET Math Exam CSET Math Exam- a Brief Overview If you are a potential Mathematics teacher and you are planning to take the California Subject Examinations for Teachers or CSET, then you have to first find out everything that you can about this examination so that you can prepare for the same in the most effective manner. The CSET math exam is not tough, not matter what you may have heard other people saying. As long as you study for it properly, there is no reason why you cannot score high in it. In this piece of writing, we will be discussing about the Mathematics portion of the CSET so that you will be able to get a clear idea of what it is before you start your preparation. Sections of CSET Mathematics It is important that you understand the subtests that will be included in this exam. You also need to make sure that you get a very clear idea of the subjects that will be tested on so that you can get a high score in this test. You will find that the CSET math exam has three subtests that you will need to take and these are as the following: Subtest I: The questions that you will find here will be based on Algebra and Number Theory. You need to have a complete understanding of these topics so that you can answer the questions correctly. The areas that you should have a thorough understanding of in when it comes to this subtest are Linear Algebra, Functions, Polynomial Equations and Inequalities, Algebraic Structures and Natural Numbers. Subtest II: This is the section of the CSET math exam where the questions will be based on Probability and Statistics and Geometry. You need to have a deep theoretical knowledge of the topics that will be tested so that you can get a high score in the examination. The areas that you should prepare for this subtest are Probability, Statistics, Transformational Geometry, Three-Dimensional Geometry, Plane Euclidean Geometry and Parallelism. Subtest III: You will be tested on the History of Mathematics and Calculus in this CSET math subtest. The topics that you need to study in-depth to get a good score in this exam are Chronological and Topical Development of Mathematics, Series & Sequences, Integrals, Derivatives, Continuity & Limits and Trigonometry. More on CSET Math Here are some of the points that you should know about the CSET math exam: This is a computer-based test where you will need to take the exam online. As such, it is essential that you have the basic skills to operate a computer. The questions can be in the form of constructed-response and multiple-choice questions. In the multiple-choice questions, you will find four answer options for every question and you need to choose an option that you believe is the correct answer. You will need to finish the exam within the time period that has been allotted to you, for there is no grace period. You will need to complete all the questions in Subtest I & II within 4 hours (2 hours for each section), and the time limit for Subtest III is 2.5 hours. Each of the subtests will be scored individually and the result is generally available within four weeks from the date of the examination. You can find out more information on the result date by checking the official website of the examination at You can check the result online after it is released simply by signing into your account in this site. The report will be in PDF format and you can print it out within 45 days, after it has been released because after that the result will no longer be available online. To Conclude... You will be able to prepare for the test effectively when you know and understand it well. If you want to score high in the CSET math exam, make sure that you start your preparation
Welcome to Chapter Two of the Math Planet Algebra Crash Course. In the last chapter, we talked about the basic concepts of algebra and algebra expressions. Now we are going to talk about linear equations and its different forms. But before you continue, you should learn the terms below so that you can have a better understanding of the lesson afterward. Different parts of the lesson are also provided so that you can go to the section of your choice.
Mathematics for Management Online Course 2009, Abstract Master the key math concepts and skills needed to handle quantitative business problems. Developed by Harvard Business School faculty for use in MBA and executive education courses at HBS and other leading business schools, as well as Fortune 2,000 companies this online course is designed to level the playing field, regardless of prior professional or academic background. Mathematics for Management reviews the key mathematics concepts you should be familiar with in order to solve quantitative problems. The complete course includes the following sections: Algebra, Calculus, Statistics, Probability, and Finance. The course engages students by using the storyline of several families operating small businesses in a fictional suburb of Las Vegas. Narrated animations, videos, and over 150 "do-it-yourself" exercises help you grasp difficult concepts quickly. At the end of each topic, you'll work through self-correcting exercises to check your mastery of the topic. Many exercises also include Excel 2007 functionality, in combination with interactive features, to further enhance understanding of essential mathematics concepts.
Educational Use Keyword: Exponents (65) This course is also intended to provide the student with a strong ... (more) This course is also intended to provide the student with a strong foundation for intermediate algebra and beyond. Upon successful completion of this course, you will be able to: simplify and solve linear equations and expressions including problems with absolute values and applications; solve linear inequalities; find equations of lines; and solve application problems; add, subtract, multiply, and divide various types of polynomials; factor polynomials, and simplify square roots; evaluate, simplify, multiply, divide, add, and subtract rational expressions, and solve basic applications of rational expressions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 001) (less) ESOL language proficiency level: advanced In reference to China's burgeoning population, Returned Peace Corps Volunteer Matthew Scranton ponders the question, "Can you conceive of 1.3 billion anything? In this lesson, students will learn about place value, exponents and how there's a number amount for everything. (less) The purpose of this task is to introduce the idea of exponential ... (more) The purpose of this task is to introduce the idea of exponential growth and then connect that growth to expressions involving exponents. It illustrates well how fast exponential expressions grow. (less) This is a comprehensive math textbook for Grade 10. It can be ... (more) This is a comprehensive math textbook for Grade 10 algebraic expressions, equations and inequalities, exponents, number patterns, functions, finance and growth, trigonometry, analytical geometry, statistics, probability, Euclidean geometry, measurements. This book is based upon the original Free High School Science Text series. (less) This is a comprehensive math textbook for Grade 11. It can be ... (more) This is a comprehensive math textbook for Grade 11 language of mathematics, exponents, surds, error margins, quadratic sequences, finance, quadratic equations, quadratic inequalities, simultaneous equations, mathematical models, quadratic functions and graphs, hyperbolic functions and graphs, exponential functions and graphs, gradient at point, linear programming, geometry, trigonometry, statistics, independent variables, dependent events. This book is based upon the original Free High School Science Text series. (less)
Summary: 95% of Introductory Statistics students will never take another Statistics course. What do you want your students to learn?Discover the Power of Real DataMario Triola remains the market-leading statistics author by engaging students each edition with an abundance of real data in the examples, applications, and exercises. Statistics is all around us, and Triola helps students understand how this course will impact their lives beyondthe classroomndash;as consumers, citizens, and profes...show moresionals.Elementary Statistics Using the TI-83/84 Plus Calculator, Third Edition provides extensive instruction for using the TI-83 and TI-84 Plus (and Silver Edition) calculators for statistics, with information on calculator functions, images of screen displays, and projects designed exclusively for the graphing calculator. Drawn from Triola's Elementary Statistics, Eleventh Edition, this text provides the same student-friendly approach with material presented in a real-world context.The Third Edition contains more than 2,000 exercises, 87% are new, and 82% use real data. It also contains hundreds of examples; 86% are new and 94% use real data. By analyzing real data, students are able to connect abstract concepts to the world at large, learning to think statistically and apply conceptual understanding using the same methods that professional statisticians employ.Datasets and other resources (where applicable) for this book are available here142.75 +$3.99 s/h New Mccool Books Denham Springs, LA Please read before purchase>> annotated teacher edition New inside no writing or marks includes all Students content and all answers. Includes sealed Cd and formulas charts no access code or other su...show morepplements. ship immediately - Expedited shipping available
Math 101 - Core Compentency in Mathematics COURSE OBJECTIVES: The course helps the student develop the use of mathematics in the world in which we live. It covers mastery of elementary skills and facts, understanding of logically correct arguments, learning to think abstractly, and increasing problem solving capacity. Competency developed should be helpful in continued learning, in setting and achieving goals, in personal decision-making, and in evaluating concerns in the community, state, and nation. CALCULATORS: You will need a hand calculator which can do basic arithmetic, square roots, and other exponents (a y to the x key). Either a scientific or graphing calculator is acceptable. Standard calculators will be allowed on all exams (laptops, calculators that access the internet, and calculators in cell phones are NOT allowed on exams - calculators with memory may be subject to inspection and erasure of stored material). If you do not have a calculator, the TI 30-series calculators are fine for this class - TI-34, TI-36, etc. WITHDRAWAL: The last day for undergraduates to withdraw from a full-session course will be announced in class. DRC STATEMENT: If you have specific physical, psychiatric, or learning disabilities and require accommodations, please let your instructor know early in the semester so that your learning needs may be appropriately met. You will need to provide documentation of your disability to the DRC (DisabilityResource Center) the Health Services Building, 4th floor. ACADEMIC CONDUCT: Academic honesty and mutual respect (student with student and instructor with student) are expected in this course. Mutual respect includes being on time for class and not leaving early, being prepared to give full attention to class work, not reading newspapers or other nonclass material in class, turning off phone ringers and not using cell phones or pagers during class time, and not looking at another student'ÇÖs work during exams. Academic misconduct, as defined by the Student Judicial Code, will not be treated lightly.
TH216A College Algebra I Course Description The first part of a comprehensive two-month treatment of algebra and trigonometry preliminary to more specialized study in mathematics. The course covers higher degree polynomials, rational functions,exponential and logarithmic functions, transformations and the algebra of function, matrix algebra and basic arithmetic of complex numbers. Learning Outcomes Graph and extract information from graphs of polynomial, rational, exponential and logarithmic functions. Graph polynomial functions and use the graph to approximate irrational roots. Understand the concept of a matrix, solve systems of linear and non-linear equations and inequalities using techniques of graphing, Cramer's Rule, determinants, matrices.
The goal of Elementary and Intermediate Algebra: Concepts and Applications, 4e is to help todays students learn and retain mathematical concepts by preparing them for the transition from skills-oriented elementary and intermediate algebra courses to more concept-oriented college-level mathematics courses, as well as to make the transition from skill to application. This edition continues to bring your students a best-selling text that incorporates the five-step problem-solving process, real-world applications, proven pedagogy, and an accessible writing style. The Bittinger/Ellenbogen/Johnson series has consistently provided teachers and students with the tools needed to succeed in developmental mathematics. This revision has an even stronger focus on vocabulary and conceptual understanding as well as making the mathematics even more accessible to students. Among the features added are new Concept Reinforcement exercises, Student Notes that help students avoid common mistakes, and Study Summaries that highlight the most important concepts and terminology from each chapter. Geared toward helping students visualize and apply mathematics, Elementary and Intermediate Algebra: Graphs and Models, Second Edition is designed for a two-semester course. The authors make use of illustrations, graphs, and graphing technology to enhance students' mathematical skills. This is accomplished through Interactive Discoveries, Algebraic-Graphical Side-by-Sides, have come to expect with any Bittinger text, we bring you a complete supplements package that now includes an Annotated Instructor's Edition and MyMathLab, Addison-Wesley's on-line course solution. [via] More editions of Elementary and Intermediate Algebra: Graphs and Models: The Sixth Edition of Intermediate Algebra: Concepts and Applications continues to bring your students a best-selling text that incorporates the five-step problem-solving process, real-world applications, proven pedagogy, and an accessible writing style. The Bittinger/Ellenbogen hardback series has consistently provided teachers and students with the tools needed to succeed in developmental mathematics. With this revision, the authors have maintained all the hallmark features that have made this series so successful, including its five-step problem-solving process, student-oriented writing style, real-data applications, and wide variety of exercises. Among the features added or revised are new Aha! exercises that encourage students to think before jumping in to solve a problem, 20% new and added real-data applications, and 50% more new Skill Maintenance Exercises. This series not only provides students with the tools necessary to learn and understand math, but also provides them with insights into how math works in the world around them. [via] Geared toward helping students visualize and apply mathematics, Intermediate Algebra: Graphs and Models, Second Edition uses illustrations, graphs, and graphing technology to enhance students' mathematical skills. This is accomplished throughInteractive Discoveries, Algebraic-Graphical Side-by-Sideshave come to expect with any Bittinger text, we bring you a complete supplements package that now includes an Annotated Instructor's Edition and MyMathLab, Addison-Wesley's on-line course solution. [via] KEY MESSAGE: Building on its reputation for accurate content and a unified system of instruction, the Fifth Edition of Bittinger/Ellenbogen/Johnsons Prealgebra paperback integrates success-building study tools, innovative pedagogy, and a comprehensive instructional support package with time-tested teaching techniques. The Student Solutions Manual contains completely worked-out solutions with step-by-step annotations for all the odd-numbered exercises in the text, with the exception of the thinking and writing exercises. It also includes complete, worked-out answers for all end-of-chapter material. [via]
MATH091 Information This course is designed for those students whose math ACT score is 16 or below, or whose math SAT score is below 470, and who desire to strengthen their math skills before entry into a college-level math course. The course is a study of number systems and their properties, polynomials, rational expressions, exponents, linear equations, and inequalities with applications and graphing. It is designed to prepare students for MATH 105 Intermediate Algebra. Not for College credit. Pass/No Pass
MATH 255Vector Calculus• 5 Cr. Department Division Description: Course topics include multiple integration, line and surface integrals and the theorems of Green, Gauss and Stokes with applications. Related topics such as conservative vector fields, change of variables in special coordinate systems, the higher-dimensional Taylor's Theorem and constrained optimization will be considered. Prerequisite: Multivariable Calculus (MATH& 254). Outcomes: After completing this class, students should be able to: Students taking this course will increase their understanding of the basic theory of functions of several variables, using vectors throughout. They should be able to: 1. Demonstrate they understand the basic integration and differentiation theory for functions of several variables. 2. Perform calculations relating to double and triple integrals in cartesian, polar, cylindrical and spherical coordinates. 3. Demonstrate the ability to visualize vector fields in various dimensions. 4. Explain the basic theory of line and surface integrals and the theorems of Green, Stokes and Gauss. 5. Perform basic calculations relating to line and surface integrals and apply the theorems of Green, Stokes and Gauss. 6. Demonstrate understanding of basic applications of these additional topics.
Product Description Help your students transition to pre-algebraic topics such as fractions, decimals, percents, ratios, unit conversions, and graphing; and provides introductions to geometry and discrete mathematics with Saxon Algebra 1/2Product Reviews Saxon Teacher for Algebra 1/2, 3rd Edition on CD-ROM 5 5 4 4 a must have This is my second year homeschooling my 13 year old. The DVD set for Saxon Math is an absolute must have. The lessons are short and to the point. (10-15 minutes) The program also goes thru the homework sets problem by problem and shows the student how to get the right answer. It's perfect for after my son has made his first attempt at all of the problems and is simply going back to correct the ones that he missed. December 7, 2013 This product pays for itself over and over again. These Lessons are great for the student as well as the parent who is in need of extra help. I highly recommend this product. November 7, 2011 Great help for busy homeschoolers I have used Saxon Math products for many years and the addition of the Saxon teacher CDs is a great help. It insures that my sons have help at their fingertips even when I am busy or unavailable. The lessons are read just as you would from the book and the students can watch any or all of the problems worked out for them if they get stuck. Don't worry about them watching them all and not doing the work. The teacher goes slowly and most kids will work as many as they can on their own to save time. August 23, 2011 Great for an auditory learner My daughter is an auditory leaner and really likes this program. She needs the one on one instruction I am not able to give her while schooling others younger than her. She tried using the DIVE cd we have but didn't find them as useful as these. She is able to work independently using this program and loves that all the problem are worked for her. We now have two set of these. One for Algebra 1/2 and the other for 8/7. A great product! February 2, 2011
Using Matrices in Real Life In real life Matrices can be used in encryption, encryption is the process of transforming important information using related algorithm to make it unreadable or inaccessible to another person except those possessing special information. When a programmer encrypts or codes a message, he can use matrices and their inverse. In real life Matrices are also used in graphs in scientific studies. Data organized in columns and rows can be represented as matrices. Matrices are used for representing real word data. We can understand it by following example: Color of eyes in a class of students: Gender Brown eyes Blue eyes Black eyes Green eyes Male 27 18 57 15 Female 19 14 49 13 Table above expressed as Matrix: Each row represents Male/Female eye color (row first for male and row second for female). Each column represents a different eye color (column first represent Brown eyes, second Blue eyes, third Black eyes and fourth for Green eyes). Matrices also used in schools for representing grades and attendance. A class can be modeled as a matrix where rows are student and columns show grades for assignment. Roll no of student Assignment 1 Assignment 2 Assignment 3 1 A+ B+ A 2 A B+ B 3 B+ A+ A+ 4 A++ A+ A+ Using Matrices in real life we can calculate domestic product in economics and matrices also helps in calculations for producing goods efficiently. Matrices also use scientific studies in many important fields like Home work, Sport, Recreation and Sports. Matrices are also used in organizations to record data from experiments if it includes Numbers. Matrices are also sometimes used in computer animation and graphics like transforming images through rotation, reflection and translation.
Essentials of Trigonometry 9780534494230 ISBN: 0534494234 Pub Date: 2005 Publisher: Thomson Learning Summary: Easy-to-understand, ESSENTIALS OF TRIGONOMETRY starts with the right-angle definition, and applications involving the solution of right triangles to help you investigate and understand the trigonometric functions, their graphs, their relationships to one another, and ways in which they can be used in a variety of real-world applications. The accompanying CD-ROM and online tutorials give you the practice you need to i...mprove your grade in the course. Smith, Karl J. is the author of Essentials of Trigonometry, published 2005 under ISBN 9780534494230 and 0534494234. One hundred thirty nine Essentials of Trigonometry textbooks are available for sale on ValoreBooks.com, thirty one used from the cheapest price of $0.01, or buy new starting at $99
Basic Mathematics – mat115 (3 credits) MAT 115 (Basic Mathematics) focuses on a foundational understanding of basic mathematics principles, including arithmetic, decimals, fractions, percentages, linear equations with one and two variables, and simple geometry. Multiplying and Dividing Fractions Find the prime factorization and greatest common factor (GCF) of numbers. Determine the divisibility of a number. Apply the basic mathematical functions of multiplication and division to fractions. Perform conversions between improper fractions and mixed numbers. Identify prime and composite numbers. List the factors of a number. Decimals Compare the sizes of common fractions and decimals. Perform conversions between fractions and numbers. Find the perimeter, circumference, and area of specified geometric figures. Apply basic mathematical functions to decimals. Round decimals to any specified decimal place. Write a decimal as a fraction or mixed number. Data Analysis and Statistics Summarize data sets. Create graphs and charts. Interpret tables, graphs, and charts. Calculate the mean, median, and mode of data sets. Basic Mathematical Concepts Apply a variety of basic mathematical concepts to mathematical problems. Adding and Subtracting Fractions Solve applications involving mixed numbers. Identify the least common multiple (LCM) of numbers. Apply the basic mathematical functions of addition and subtraction to fractions with both like and unlike denominators. The University of Phoenix reserves the right to modify courses.
2 3 A New Perspective on Math Prentice Hall Algebra 1, Geometry, Algebra 2 2011 ... become more prepared for success in school, in ... each chapter, students will develop answers to ... Prepared by: James Cengiz Gulek, Ph.D ... Math 1 Program in the High School 2004-05 Evaluation Report I. ... three years of college-preparatory math (Algebra 1, Geometry ... mathematics, geometry for elementary and middle school teachers, algebra for elementary and middle ... usually other correct answers to the question, as in this case, that ... Florida version of Prentice Hall Algebra 1, Geometry, and Algebra 2 2011the new Prentice Hall High SchoolMath ... Answers and solutions are printed at the bottom of ... ... is also introduced to be articulated in the high school. ... numbers up to one thousand including basics of geometry ... Use the correct operation 3.1.4 State the complete answers II. Write your answers to the Part I multiple-choice ... PH (4x 5) (6x + 20) (x + 40) Q T (Not ... of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY ...
0137166141 9780137166145 College Mathematics for Technology:This book offers a "six-step approach" to problem solving, numerous tips, and clear, concise explanations that explore the concepts behind mathematical processes. Simplified language appeals to a variety of learning styles, and promotes active, independent, and lifelong learning -- while strengthening critical thinking and writing skills. This book addresses curriculum and pedagogy standards that are initiatives of the American Mathematical Association of two-year Colleges (AMATYC), the National Council of Teachers of Mathematics (NCTM), and the Mathematics Association of America (MAA). It focuses on number, symbol, spatial and geometric, function, and probability and statistical sense. Other features include career applications, and mathematics in the workplace articles that demonstrate the relationship of chapter concepts to highly sought after job skills -- such as computational, research, and critical thinking/decision-making. Back to top Rent College Mathematics for Technology 4th edition today, or search our site for Cheryl S. textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Prentice Hall.
Graphing Exponential Function Teacher Resources Find Graphing Exponential Function educational ideas and activities Title Resource Type Views Grade Rating Explore the concept of graphing exponential functions. High school mathematicians are given exponential functions such as y=2*3^x, and they graph them on a coordinate plane. They are given two exponential graphs and must write an equation to match the graph. Tenth graders study graphing exponential functions. In this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function that matches the graph given the equation of the parent function. Students explore exponential function through graphing and investigating patterns of graphs. They graph exponential functions and relate these functions to real world applications of functions. Afterward, they discuss and compare peer graphs. Eleventh graders explore exponential equations. In this Algebra II lesson, 11th graders investigate exponential equation in the context of increasing college tuition costs. Students write exponential equations based on the percent of change of college tuition and use their equations to do analysis and make predictions. Students explore the concept of exponents. In this exponential functions worksheet, students complete provided worksheets that require them to graph exponential functions by hand as well using graphing calculators. Students solve and graph exponential functions. In this algebra lesson, students identify important characteristics of exponential functions. They differentiate the graphs based if if the base is greater than or less than oneLearners explore the concepts of exponential growth and decay. In this Algebra II lesson, the students use a variety of teaching resources, including the web, and modeling and experimentation, to identify exponential growth or decay and sole related problems. Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function. If the flu outbreak continues, exams will have to be canceled. Investigate the properties of exponential and logarithmic functions. In this algebra instructional activity, students use the TI to examine and differentiate between exponential growth and decay. They relate math to the real world by creating models. Young scholars solve and graph exponential functions. In this algebra lesson, students identify function notations and discuss the different properties of exponential functions. They relate linear functions to the real world. Students explore the concept of exponential functions. In this exponential functions lesson, students model exponential growth about a high school population using an applet. Students manipulate the applet to show the effect that a change in the values of a, b, h, and k have on the equation. Students explore the concept of linear and exponential growth. In this linear and exponential growth lesson, students collect data about China's population. Students model the data to determine if it is linear or exponential. Seventh graders investigate the practice of purchasing a used car with the help of links and resources found in the lesson plan. They conduct research to find the right kind of car using a variety of resources. Students examine data in order to make the most informed decision. Students investigate the concept of exponential functions and how they increase in size over time. They simplify the functions in order to find the solutions that are possible and perform analysis of the curved line that is produced when plotting the coordinates. Learners listen to a story dealing with exponential and linear growth. After reading the story, students complete a table comparing information. Using a calculator, learners graph the rice and daily population of flies. They study the graphs, determine trends, estimate the fly population, and create an equation that explains the situation.
Calculus, Early Vectors - 99 edition Summary: Once again keeping a keen ear to the needs of the evolving calculus community, Stewart created this text at the suggestion and with the collaboration of professors in the mathematics department at Texas A&M University. With an early introduction to vectors and vector functions, the approach is ideal for engineering students who use vectors early in their curriculum. Stewart begins by introducing vectors in Chapter 1, along with their basic operations, such as add...show moreition, scalar multiplication, and dot product. The definition of vector functions and parametric curves is given at the end of Chapter 1 using a two-dimensional trajectory of a projectile as motivation. Limits, derivatives, and integrals of vector functions are interwoven throughout the subsequent chapters.As with the other texts in his Calculus series, in Early Vectors Stewart makes us of heuristic examples to reveal calculus to students. His examples stand out because they are not just models for problem solving or a means of demonstrating techniques - they also encourage students to develop an analytic view of the subject. This heuristic or discovery approach in the examples give students an intuitive feeling for analysis.In the Preliminary Edition, Stewart incorporates a focus on problem solving; meticulously attends to accuracy; patiently explains the concepts and examples; and includes the same carefully graded problems that make his other texts work so well for a wide range of students. --This text refers to an out of print or unavailable edition of this title. ...show less 0534493483 Premium Books are Brand New books direct from the publisher sometimes at a discount. These books are NOT available for expedited shipping and may take up to 14 business days to receive. $306.65 +$3.99 s/h New PROFESSIONAL & ACADEMIC BOOKSTORE Dundee, MI 05344934310
Summary In Calculus: Early Transcendental Functions, 4e by Robert Smith and Roland Minton, the authors combine With the CourseSmart eTextbook version of this title, CourseSmart is an online eTextbook, which means users need to be connected to the internet in order to access. Students can also print sections of the book for maximum portability. Table of Contents Calculus: Early Transcendental Functions Chapter 0: Preliminaries 0.1, "Polynomials and Rational Functions" 0.2, "Graphing Calculators and Computer Algebra Systems" 0.3, "Inverse Functions" 0.4, "Trigonometric and Inverse Trigonometric Functions" 0.5, "Exponential and Logarithmic Functions" 0.6, "Transformations of Functions" Chapter 1: Limits and Continuity 1.1, "A Brief Preview of Calculus: Tangent Lines and the Length of a Curve 1.2, "The Concept of Limit" 1.3, "Computation of Limits" 1.4, "Continuity and Its Consequences" 1.5, "Limits Involving Infinity; Asymptotes" 1.6, "Formal Definition of the Limit" 1.7, "Limits and Loss-of-Significance Errors" Chapter 2: Differentiation 2.1, "Tangent Lines and Velocity" 2.2, "The Derivative" 2.3, "Computation of Derivatives: The Power Rule" 2.4, "The Product and Quotient Rules" 2.5, "The Chain Rule" 2.6, "Derivatives of Trigonometric Functions" 2.7, "Derivatives of Exponential and Logarithmic Functions" 2.8, "Implicit Differentiation and Inverse Trigonometric Functions" 2.9, "The Hyperbolic Functions" 2.10, "The Mean Value Theorem" Chapter 3: Applications of the Derivative 3.1, "Linear Approximations and Newton's Method"" 3.2, "Indeterminate Forms and L'Hôpital's Rule " 3.3, "Maximum and Minimum Values" 3.4, "Increasing and Decreasing Functions" 3.5, "Concavity and the Second Derivative Test" 3.6, "Overview of Curve Sketching" 3.7, "Optimization" 3.8, "Related Rates" 3.9, "Rates of Change in Economics and the Sciences" Chapter 4: Integration 4.1, "Antiderivatives" 4.2, "Sums and Sigma Notation" 4.3, "Area" 4.4, "The Definite Integral" 4.5, "The Fundamental Theorem of Calculus" 4.6, "Integration by Substitution" 4.7, "Numerical Integration" 4.8, "The Natural Logarithm as an Integral" Chapter 5: Applications of the Definite Integral 5.1, "Area Between Curves" 5.2, "Volume: Slicing, Disks and Washers" 5.3, "Volumes by Cylindrical Shells" 5.4, "Arc Length and Surface Area" 5.5, "Projectile Motion" 5.6, "Applications of Integration to Physics and Engineering" 5.7, "Probability" Chapter 6: Integration Techniques 6.1, "Review of Formulas and Techniques" 6.2, "Integration by Parts" 6.3, "Trigonometric Techniques of Integration" 6.4, "Integration of Rational Functions Using Partial Fractions" 6.5, "Integration Tables and Computer Algebra Systems" 6.6, "Improper Integrals" Chapter 7: First-Order Differential Equations 7.1, "Modeling with Differential Equations" 7.2, "Separable Differential Equations" 7.3, "Direction Fields and Euler's Method" 7.4, "Systems of First-Order Differential Equations" Chapter 8: Infinite Series 8.1, "Sequences of Real Numbers" 8.2, "Infinite Series" 8.3, "The Integral and Comparison Tests" 8.4, "Alternating Series" 8.5, "Absolute Convergence and the Ratio Test" 8.6, "Power Series" 8.7, "Taylor Series" 8.8, "Applications of Taylor Series" 8.9, "Fourier Series" Chapter 9: Parametric Equations and Polar Coordinates 9.1, "Plane Curves and Parametric Equations" 9.2, "Calculus and Parametric Equations" 9.3, "Arc Length and Surface Area in Parametric Equations" 9.4, "Polar Coordinates" 9.5, "Calculus and Polar Coordinates" 9.6, "Conic Sections" 9.7, "Conic Sections in Polar Coordinates" Chapter 10: Vectors and the Geometry of Space 10.1, "Vectors in the Plane" 10.2, "Vectors in Space" 10.3, "The Dot Product" 10.4, "The Cross Product" 10.5, "Lines and Planes in Space" 10.6, "Surfaces in Space" Chapter 11: Vector-Valued Functions 11.1, "Vector-Valued Functions" 11.2, "The Calculus of Vector-Valued Functions" 11.3, "Motion in Space" 11.4, "Curvature" 11.5, "Tangent and Normal Vectors" 11.6, "Parametric Surfaces" Chapter 12: Functions of Several Variables and Partial Differentiation
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Revised edition of algebra links all the activities to the NCTM standards Activities provide students with practice in the skill areas necessary to master the concepts introduced in a course of algebra Reinforcing operations skills plus activities that focus on order of operations, solving equations, dealing with inequalities, monomials, binomials and polynomials, factoring and plotting coordinates are all part of this new edition Examples of solution methods are presented at the top of each page New puzzles and riddles have been added to gauge the success of skills learned Contains complete answer key Product Information Subject : Algebra Grade Level(s) : 5-8 ISBN : 742417883 Usage Ideas : The activities were designed to provide students with practice in the skill areas necessary to master the concepts presented in a first course in algebra.
Mastering Essential Math Skills This exercise book is an excellent resource to practice and review math skills you´ll need to establish a strong foundation and smooth transition into Algebra and other higher math courses. Workbooks are available for 4th – 5th grade and middle school / high school. The Road to Wealth Have an investing question? Suze Orman´
... read more Customers who bought this book also bought: Our Editors also recommend: Axiomatic Set Theory by Patrick Suppes Geared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition. Tensor Calculus: A Concise Course by Barry Spain Compact exposition of the fundamental results in the theory of tensors; also illustrates the power of the tensor technique by applications to differential geometry, elasticity, and relativity. 1960 editionGroup Theory by W. R. Scott HereProduct Description: precision. Starting with an explanation of all the basic logical terms and related operations, the text progresses through a stage-by-stage elaboration that proves the fundamental theorems of finite sets. It focuses on the Bernays theory of finite classes and finite sets, exploring the system's basis and development, including Stage I and Stage II theorems, the theory of finite ordinals, and the theory of finite classes and finite sets. This volume represents an excellent text for undergraduates studying intermediate or advanced logic as well as a fine reference for professional mathematicians
This package includes a physical copy of Statistics: Informed Decisions Using Data by Sullivan, as well as access to MathXL. Michael Sullivan's Statistics: Informed Decisions Using Data, Fourth Edition, connects statistical concepts to students' lives, helping them to think critically, become informed consumers, and make better decisions. Throughout the book, "Putting It Together" features help students visualize the relationships among various statistical concepts. This feature extends to the exercises, providing a consistent vision of the bigger picture of statistics. This book follows the Guidelines for Assessment and Instruction in Statistics Education (GAISE), as recommended by the American Statistical Association, and emphasizes statistical literacy, use of real data and technology, conceptual understanding, and active learning
Common Core Standards: Math Math.F-TF.5 Students might start to feel as though trigonometric functions just go in circles. They've probably been clinging to that unit circle the same way castaways hold onto lifesavers in the middle of the Pacific Ocean. That worked in the beginning, but they're getting seasick and going nowhere. It's time to try swimming. There might be some ups and downs, but transferring trigonometric functions onto the Cartesian plane will serve us well. To start, it's best to have students create a table of x and y values such that y = sin x. Make sure they still use radians and end up with graphs like these. We told you. Ups and downs. After they've been introduced to how these graphs look like, the general form y = Asin(Bx + C) + D can be introduced, where A is the amplitude, 2π⁄\|B\| is the period, C is the phase (horizontal) shift, and D is the vertical shift. This also applies to the cosine and tangent functions (except the period is π⁄\|B\| for tangent). Students should also know that the midline is halfway between the maximum and minimum values of the graphs. The frequency is the inverse of the period. If they feel like they're sinking, give them back the unit circle and start again, slowly working them off of it. They should feel comfortable and at least have a sense of direction when graphing these trigonometric functions. Even if your students can swim on their own, they won't get very far without a destination. (Land, ho!) Students should be able apply the sine and cosine functions to model simple harmonic motion. Replacing physics problems about pendulums and swings with monkeys swinging from vines and bananas tied to bungee cords might help. Plus, it gets your students out of the ocean…and into the jungle, apparently.
The book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in particular the classification of 1-dimensional manifolds. We then This DVD illustrates exercises for the two most common types of BPPV, designed for home use. It shows the canalith repositioning maneuver for both sides, the logroll exercises for both sides, and the Brandt-Daroff exercise. nineteenth century as a legacy for the twentieth century).In spite of the simplicity and importance of this problem (including its numerous applications), it remains unsolved to this day (although, as you will now see, many remarkable results have been discovered). La bioenergetica es una forma de terapia que combina el trabajo con el cuerpo y con la mente, a fin de ayudarnos a resolver nuestros problemas emocionales y a comprender mejor nuestro potencial para el placer y el gozo de vivir. Los ejercicios detallados en este libro son el resultado de mas de veinte anos de trabajos terapeuticos con pacientes. / Bioenergetics is a form of therapy that combines work with the body and mind, to help us resolve our emotional problems and better understand our potential for pleasure and joy of living. The exercises outlined in this book are the result of over twenty years of therapeutic work with patients. The Spanish version of FAMILY MATH is used with Spanish-speaking families in community groups, churches, and school districts throughout the United States and in Puerto Rico, Costa Rica, and Venezuela. This book is particularly important for those family members for whom Spanish is their first language. MATEMATICA PARA LA FAMILIA enables them to enjoy doing mathematics at home with their children and in FAMILY MATH classes conducted in Spanish. Grades K-8. Espanol Mundial is a two-part Spanish course preparing students for GCSE and Standard Grade examinations. Espanol Mundial 2 has been revised with the National Curriculum in mind and prepares students for both Foundation and Higher tiers in all four skills areas for GCSE and Standard Grade
Introduction to Statistics for AP Teacher There are summer courses that are especially suited to AP statistics teachers who need to tune up their statistical skills. They are taught by Dave Bock, co-author of Stats: Modeling the World, a leading AP statistics text. The course text is Bock, Velleman and De Veaux, Stats: Modeling the World, with ActivStats CD. You can purchase it directly from the publisher here. This text is among the top choices for AP Statistics. (Note: If you are a statistics instructor contemplating teaching with this book, you may wish to obtain the Instructor's edition, which you can find using the above Addison Wesley link). ActivStats is an award-winning multimedia statistics tutorial. It runs on PCs and Macs. Important: To make sure you get the right textbook bundled with the right CD, we strongly recommend that you buy them as a package directly from the publisher at the above link, rather than from Amazon or a used book market. Please order your text in time to have it in hand by the course starting date! Those contemplating teaching AP statistics (or any high school statistics course) will probably want to use a graphing calculator. The textbook integrates instruction in using the TI-83 family of graphing calculators and provides brief tips on using SPSS, JMP, Minitab and the TI-89 graphing calculator. Depending on prior experience with statistics, those planning to teach AP Statistics may feel a need to put in more hours than the 15 estimated in the course description, in order to be well prepared to teach this material. What our students say: J. Johnston Colorado State University "Taking as many courses through Statistics.com is one of my lifelong learning goals; I have told many of my colleagues about this wonderful and refreshing online medium for learning about statistics." H. Turner Analytica, Inc. "Taking as many courses through Statistics.com is one of my lifelong learning goals; I have told many of my colleagues about this wonderful and refreshing online medium for learning about statistics."
Earn College Credit with REA's Test Prep for CLEP* College Mathematics EverythingMore... for the CLEP* exam. What's best for you depends on how much time you have to study and how comfortable you are with the subject matter. Our test prep for CLEP* College Mathematics College Mathematics College Mathematics Our Author About Research & Education Association Acknowledgments Passing the CLEP College MathematicsSets Sets Subsets Union and Intersection of Sets Laws of Set Operations Cartesian Product Drill Questions The Real Number System Properties of Real Numbers Components of Real Numbers Fractions Odd and Even Numbers Factors and Divisibility Numbers Absolute Value Integers Inequalities Drill Questions Algebra Topics Exponents Logarithms Equations Simultaneous Linear Equations Absolute Value Equations Inequalities Complex Numbers Quadratic Equations Advanced Algebraic Theorems Drill Questions Functions and Their Graphs Elementary Functions Translations, Reflections, and Symmetry of Functions Drill Questions Geometry Topics Triangles The Pythagorean Theorem Quadrilaterals Similar Polygons Circles Formulas for Area and Perimeter Drill Questions Probability and Statistics The Fundamental Counting Principle Permutations Combinations Probability Probability Word Problems Measures of Central Tendency Measures of Variability Data Analysis Analyzing Patterns in Scatterplots Drill Questions Logic Sentences Statements Basic Principles, Laws, and Theorems Necessary and Sufficient Conditions Deductive Reasoning Truth Tables and Basic Logical Operations Logical Equivalence Sentences, Literals, and Fundamental Conjunctions Drill Questions
In this book you find the basic mathematics that is needed by computer scientists. The author will help you to understand the meaning and function of mathematical concepts. The best way to learn it, is by doing it, the exercises in this book will help you do just that. Topics as Elementary logic, factorization, plotting functions and matrices are explainedPolynomials are the first class of functions that the student meets. Therefore, one may think that they are... This is the exercise book for Business Information Management. Each chapter provides a comprehensive coverage of relevant theory concepts followed by review questions, and/or case studies and worked examples. Many practical examples are included to illustrate the data analysis concepts. These exercises should help students acquire hands on skills, prepare for assessment and solve types...The combination of written text with interactive video offers a high degree of learning flexibility by... Information management is vital for today's businesses. It requires significant investment and supports critical business processes. With the proliferation of the information economy and information systems, effective information management determines success of virtually every business operation. The aim of this book is to assist managers in becoming knowledgeable decision makers in the field
Students must complete at least Algebra I, Geometry, and Algebra II, or an integrated .... Technical Education or Work Study program or other high school level math program. .... 10th grade - Geometry. 9th – 10th Grade Algebra. Table of Contents. 1.) Introduction - p.2. 2.) Partnering with ... algebra when they were freshman. I believe that ... Work with the positives and push the child to improve and for. 10th grade math and reading test scores) and college GPA (in the college retention and graduation ... for the college selectivity models; job zones 2, 3, and 4 for the occupational prestige models) ... students adequately for college work, particularly in math and science ... Mountain High School 10th graders took the. PSAT in the ... high school students had taken Algebra 2… by 2000,. 60%had taken ... Patterns, Relations, and Algebra ... During session 2, each student had sole access to a calculator with at least four functions .... If you do the work in your head, explain in writing how you did the work. If a student wants to take Algebra 1 in the 8th grade, they can work with their peers and ... (2) Linear Equations and Systems of Linear Equations ... 9th Grade. 10th Grade. 11th Grade. 12th Grade. Algebra I College Prep Geometry College Prep.
MCS-115: The Nature of Mathematics (Fall 2011) Project Rationale A really good way to understand mathematics is to learn and discover it on your own. You will select a mathematical topic, from the list provided below, read and teach yourself any necessary background you need to understand it, and then investigate the topic. You will work in groups of three. By working together you can learn from each other and share the experience. If you have a compelling reason not to work in a group of three, you MUST get permission from your instructor. What is expected Your project for the semester consists of two parts, each of which count for one half the points you can earn for this aspect of the course. You will be working with a team to write a paper investigating some aspect of mathematics and then giving a presentation to the class on what you have learned and discovered. Once you topic has been approved by your instructor, your group will write a four to five page "research"-type paper (double spaced, typed) and use this as this as the basis for a ten minute presentation to the class. The paper itself should be composed as follows: approximately half of it should be based on the material in the section of the book representing your topic; this part should be a summary in your words of what the authors have said. The remaining half is to investigate some aspect of that material that you and your partners find particularly interesting. You will need to do some research on your own from sources outside the textbook to accomplish this. These two aspects of the paper should blend together to form a cohesive report on the topic you have chosen. The audience for your paper, and of course your presentation, is the students in the class. The material should be written and presented so that other students will be able to understand the topic you are considering and can learn something about it. In order to make your presentation easier for you to do and, hopefully, easier for your audience to understand, you might want to consider using some combination of the computer (perhaps a power point presentation), overheads (which can be prepared in advance), or even a poster to highlight various aspects of your topic. While your instructor will provide access to the equipment you might need (a computer, an overhead projector, etc.) to do this, it is expected that you know how to actually use whatever software your presentation requires. The paper and presentation should be in your own words and not merely a copy of sentences or paragraphs from your sources. While you may obviously quote material from time to time, these should be properly attributed. You may want to include examples or solved problems if you feel these will lead to a better understanding of the material. Note: Naturally, we expect that your paper and your presentation will avoid all plagiarism. Timeline October 7: The date by which your 3 member project team, topic, and the date of your presentation must be determined. Keep in mind that in each class, teams must do different topics, and these topics will be given out on a first-come/first-serve basis. Likewise, because only 3 teams can present on a single day, presentation dates will be given out on a first-come/first-serve basis. You should mail the names of your team members, selected topic (include a first, second and third choice) and date (again, include a first, second and third choice) to your professor. October 28, November 11, December 7, or December 14: possible days for your presentations. There needs to be three presentations in each of the first three days, with each presentation being 10-15 minutes. December 9: Deadline for handing in your paper. We encourage you to hand it in earlier, if you can, to ease the end-of-semester crunch.
More About This Textbook Overview Designed for the non-expert student, enthusiast, or researcher, this text provides an accessible introduction to numerical computation and its applications in science and engineering. It assumes no prior knowledge beyond undergraduate calculus and elementary computer programming. Fundamental and practical issues are discussed in a unified manner with a generous, but not excessive, dose of numerical analysis. Topics are introduced on a need to know basis to concisely illustrate the practical implementation of a variety of algorithms and demystify seemingly esoteric numerical methods. Algorithms that can be explained without too much elaboration and can be implemented within a few dozen lines of computer code are discussed in detail, and computer programs in Fortran, C++, and Matlab are provided. Algorithms whose underlying theories require long, elaborate explanations are discussed at the level of first principles, and references for further information are given. The book uses numerous schematic illustrations to demonstrate concepts and facilitate their understanding by providing readers with a helpful interplay between ideas and visual images. Real-world examples drawn from various branches of science and engineering are presented. Updated information on computer technology and numerical methods is included, many new and some original topics are introduced. Additional solved and unsolved problems are included. Related Subjects Meet the Author C. Pozrikidis is Professor of Chemical Engineering at the University of Massachusetts, Amherst. He is the author of nine books on theoretical and computational fluid dynamics and biomechanics, boundary element methods, spectral and finite element methods, and computer
MERLOT Search - category=2513&createdSince=2012-10-31&sort.property=dateCreated A search of MERLOT materialsCopyright 1997-2013 MERLOT. All rights reserved.Wed, 11 Dec 2013 09:48:19 PSTWed, 11 Dec 2013 09:48:19 PSTMERLOT Search - category=2513&createdSince=2012-10-31&sort.property=dateCreated 4434RRCC MAT045 Compressed Pre-algebra with Basic Math Competencies and Syllabus Implementation Plan Course Materials Sequências Numéricas The study of sequences, although seen as an incipient numerical progression, is the foundation of mathematical analysis. This concept in turn is based on set theory and Dedekind cuts, and is studied by mathematical analysis.Symbolic LogicA System Of Logic, Ratiocinative And InductiveA System of Logic was first published in 1843 and immediately enjoyed a wide circulation, going through numerous editions. Mill himself made substantial changes in the third edition, published in 1850, and the eighth edition, published in 1872, a year before his death. This book is Mill's most comprehensive and systematic philosophical work, elaborating his inductive method, which helped to free the empirical sciences from the rigidity of analysis by way of syllogisms. Syllogisms are arguments grounded in general principles, in which two premises are used to deduce a third premise, or conclusion. In A System of Logic, Mill breaks away from this age-old practice and instead proposes the use of a form of logic derived from the principles of the natural sciences. He uses his method to address questions of language and logic, induction, the relativity of knowledge, the structure of the scientific method, the structure of arithmetic and geometry, and the principles of the moral sciences. In effect, Mill provides a solid, scientific methodology for reasoning and for philosophy, derived from science and mathematics.The introduction discusses the role and purpose of logic in human understanding. Logic is the art and science of reasoning, a means for the pursuit of truth. However, logic is only concerned with making inferences from observed phenomena, not with intuitive truths. Logic does not produce new evidence, but it can determine whether something offered as evidence is valid. Logic judges but does not observe, invent, or discover. Logic serves a purpose in some larger project of inquiry that gives it meaning. Fundamentally, logic is a method of evaluating evidence.'AlgebraDosage Calculation for Nurses Dosage calculation and basic conversion is very important for nurses to know because a
Island Lake Calculusascal was originally targeted towards academia. The objective was the teaching of good programming style. It embraced structured programming and stepwise refinement (top-down programming design). The original Macintosh OS was written in Pascal. ...Taking this into account, the lessons are focused on systematic study of Prealgebra with the subsequent testing the student?s understanding of the material by doing special exercises. This allows student to avoid any confusion and to develop his/her algebraic skills efficiently. As a result, a student typically improves his grades by 1-2 letters after 3-4 sessionsAlso, as a physics major I was required to have a very solid understanding of linear algebra for its very common use in quantum mechanics and Hamiltonian dynamics. Seeing these real world applications of linear algebra has also given me a wealth of examples and a respect for where a rather abstr...
1587161478 are essential to providing optimal medical and pharmaceutical care. Essential Math and Calculations for Pharmacy Technicians fills the need for a basic reference that students and professionals can use to help them understand and perform accurate calculations. Organized in a natural progression from the basic to the complex, the book includes: Roman and Arabic Numerals Fractions and decimals Ratios, proportions, and percentages Systems of measurement including household conversions Interpretation of medication orders Isotonicity, pH, buffers, and reconstitutions Intravenous flow rates Insulin and Heparin products Pediatric dosage Business math Packed with numerous solved examples and practice problems, the book presents the math in a step-by-step style that allows readers to quickly grasp concepts. The authors explain the fundamentals simply and clearly and include ample practice problems that help readers become proficient. The focus on critical thinking, real-life problem scenarios, and the self-test format make Essential Math and Calculations for Pharmacy Technicians an indispensable learning
Aimed directly at the undergraduate student, the stated goal of Rubin Landau's A First Course in Scientific Computing: Symbolic, Graphic, and Numeric Modeling Using Maple, Java, Mathematica, and Fortran90, is "[t]o provide them with tools and knowledge they can utilize throughout their college careers." Adopting a tutorial approach and an "over the shoulder" style that lets students work independently and confidently, Landau addresses almost all the shortcomings of earlier computational physics books and produces a text that will certainly stand the test of time. Drawing on both a long career of teaching excellence and from his prolific body of research, Landau wisely guides his readers through the scientific computing world with what at times feels like kind, grandfatherly advice. Indeed, in the preface—a part of the book that many students might unfortunately skip—he deftly focuses the reader's attention on the simple observation that, "[t]he basic ideas behind scientific computing are language independent, yet the details are not." With this guiding principle, he sensibly chooses Maple and Java as exemplars of the vast array of tools available to students. Together with the accompanying CD, which includes alternate code for Mathematica and Fortran90, the text's intended role is to be "closer to a workbook than a reference book." In this regard, Landau does very well. With a short chapter on LaTeX, he also addresses the ever-increasing role of electronic document production in the Web-based communication of scientific works and so provides the student with a complete set of tools for the task at hand. To begin, although Landau's use of the command-line mode is appropriate because of platform variability concerns, the addition of a "walk through" of Maple's features would serve to give students a literal view of what's to come and could provide witness to the way in which students could integrate different programming environments. By demonstrating Maple's ability to typeset mathematical equations, plot functions, and export graphics and pages as HTML or LaTeX, for example, students could quickly appreciate its usefulness. Instructors could then point to the examples as greater explanation and motivation for the course's scope and content. Partly due to the workbook approach, the Maple discussion's overall organization is somewhat terse with many sections, subsections, and sub-subsections that don't always seem particularly pertinent to the task of "introducing the relevant mathematics in the course of solving realistic problems." This is especially true when using the book in courses designed to include students from curricula other than physics. For example, the first problem in the text draws on the results of special relativity, and Landau takes great care to entice the student saying, "[a]lthough the theory of special relativity does have its subtleties […] [t]his should give you a good working knowledge of some tools." Given the text's audience, the first example should allow all students, not just physics majors, to fully grasp the phenomena's physical significance. Moreover, nearly 20 pages separate the introduction of relativistic equations with the plots of their basic behavior, with much of the intervening material coming from a computer science perspective. This is avoidable in an electronic format, but in written form, an organizational scheme that sets the tutorial information and exercises in sidebars or boxes would be preferable. Although the mathematical and computational techniques Landau covers include the detailed use of integration and differentiation as well as matrix algebra and advanced plotting commands, too much is made of Maple's limitations. A measure of this is necessary, but in some cases this approach might challenge students' confidence in Maple—for example, Maple sometimes allows operators to be omitted (as when employing its version of scientific notation); a statement that using operators will decrease your debugging time would be useful in this circumstance. Moreover, when illustrating Maple's computer algebra system, the text focuses on the nature of commands such as simplify and collect, but it fails to give a detailed treatment of extremely important commands like unapply. Consequently, the opportunity to impart high-order heuristics to the student is lost. By including short tables or intermittent summaries of important built-in functions and commands in the text (in addition to those already in the appendix) and with a more judicious use of the command-line help system, the delivery and impact of the examples could be improved. When tackling more complex ideas, the text's colloquial approach often comes across as abrupt. For instance, in discussing how a 3D plot structure is rendered on a 2D surface, Landau says, "we do that by rotating the object, shading it, employing parallax, and so forth." Arguably, one of the most appealing aspects of software packages such as Maple or Mathematica is that the nontechnical masses can use them to blindly produce complex and beautiful graphics, but one of a scientific computing course's many goals is to give students a deeper understanding of the principles involved. For this reason, it might have been more beneficial in this context if the text demonstrated how the student could add plot options such as viewpoint and shading to the basic command structure to alter the object's appearance. Then, the student could use the matrix rotation techniques to construct a simple animation sequence, directly illustrating the effects and providing a concrete and in-depth example. Indeed, with a similar approach to each of the chapter's problems, Landau could enhance the coverage of Maple methods and programming. The thorough treatment of Java as a paradigm example of a modern object-oriented programming (OOP) language, complete with plotting and Web-based applications, is where Landau's text makes its real contribution. Although his first example might seem a bit mundane—calculating a circle's area—it goes beyond the traditional "hello world" program and introduces the language's method-based structure. In particular, Landau's discussion of classes and methods and when to avoid thinking too deeply about the required syntax of declarations is very refreshing. To quickly demonstrate Java's power and appeal, he then shows how easy it can be to produce graphical output. Despite the fact that some of the physical examples covered in the Maple section weren't fully developed, Landau's use and expansion of these same examples later in the text (most notably, the detailed simulation of a large city's electricity usage) should let students move confidently into modern scientific computing's more technical aspects. Moreover, his addition of "new" problems such as frictionless projectile motion provide students with a demonstration of how theory, algorithm development, and logic must all come together to produce working simulations. The comparison of Java and Maple solutions to differential equations helps further drive home this point and also provides the unified approach that's lacking in some of the text's earlier portions. Landau employs a "just enough" approach when it comes to his discussions of OOP concepts, but deals with the ideas of encapsulation and inheritance sufficiently, making the move to Web computing easier to appreciate. Because of a small typographical error (probably placed there by Landau to encourage students and instructors to type in their own code!), the first Web application didn't run "out of the box." By extending this basic applet project to include user control, he implicitly reminds us that much of scientific computing's lineage was based on copious use of legacy code and libraries. However, the follow-through absent in the Maple section is also evident here as Landau stops just short of a full-blown Web application using JavaScript to allow for direct user interaction via form input. Despite the fact that the text is formally broken into three sections, the third section—entitled, "The LaTeX Survival Guide"—is very short. Nevertheless, it does an adequate job of introducing the essential LaTeX commands and environments that a student would need to produce high-quality and content-rich documents suitable for laboratory reports, refereed journal submissions, or Web postings. The reasons for including LaTeX in a first course in scientific computing are clear in that the superior mathematical typesetting ability and the resulting electronic documents (that is, EPS or PDF) are ubiquitous. However, LaTeX's integration and connection to the extant material in the text and course isn't evident in Landau's treatment. Specifically, no discussion of styles and packages is included—which is essential if you want to compile the LaTeX source from a Maple worksheet. This level of detail isn't often found in the many TeX primers available online but adds a decidedly more complete view of the subtleties of electronic document production. Instead of viewing this as a liability, you could rearrange the text material to cover LaTeX elements first and then move to Maple (or Mathematica). This would have the added benefit of allowing nontraditional students to learn and refresh their programming and debugging skills while working with less cognitively demanding material. It's arguable that an introductory scientific computing course ought to be accessible to all students of the broader sciences. A conscientious instructor willing to reorganize and extend some material to make it more suitable and appealing to a multidisciplinary student body could use A First Course in Scientific Computing to cast this wider net. Indeed, the colloquial and tutorial approach might help alleviate the many practical problems associated with incorporating computational applications into a more traditional lecture environment. The text provides many concrete and programming examples in action and illustrates how much you can accomplish with a few well-chosen tools. All in all, students impressed with the text's workbook style and reference-book quality will add it to their bookshelves and return to it often. Michael Jay Schillaci is managing director of the McCausland Center for Brain Imaging at the University of South Carolina. His research interests include computational physics and curriculum development, and models of human cognition using magnetic resonance imaging and electroencephalographic data. Schillaci has a PhD in physics from the University of Arkansas at Fayetteville. He is a member of the American Physical Society and the Cognitive Neurosciences Society. Contact him at mjs@sc.edu. Not So New, but Improved In early 2006, the CiSE editorial board evaluated the Books department. The outcome of this discussion was that the department emerged as an important section of the magazine that we needed to rework and update. With CiSE's larger constituency, the Books department seeks to have "something for everyone," so our goal is to feature at least one book review per issue, which will come from these general categories: However, the Books department is only as good as the books we receive, and the reviewers who review them. If you know of a good book worthy of review, or want to review a book in one of these categories, please contact me at mabelloni@davidson.edu. We kick off this revamped department with Michael Jay Schillaci's review of Rubin Landau's book, A First Course in Scientific Computing. Much debate exists as to what a first course in scientific computing should be (see for example, the September/October 2006 issue of CiSE), and Landau's approach has been at the forefront of much of this discussion. In addition to our review, the American Journal of Physics recently published a comparison review of three first-course books (vol. 74, no. 7, 2006). Our reviewer also has his own first-course approach, which you can download as a PDF from his Web site (
This is a great supplemental resource that I have used with students as we prepare for summative assessments. It is well organized and easy for students to use with minimal support, making it excellent for out of class reviews. This is a wonderfully comprehensive over-view / review of Algebra concepts, skills, and topics! Our students are on a 4x4 schedule, so it's been over a year since my students have had Algebra I. I plan to use this as a resource when reviewing for our Algebra 2 course next semester. Thank you so much! You've saved me a lot of time! Ask Barry Hauptman a question. They will receive an automated email and will return to answer you as soon as possible. Please Login to ask your question. QUESTIONS AND ANSWERS: llnelson re: Step By Step Algebra Basics (82 pages!) I am very disappointed that is doesnt have a key. If I had realized it didnt have a key I would not have purchased it. I am a teacher with 6 preps and do not have the time to work each problem so unfortunately I wont be able to use your packet. I am writing in regards to your "Circles:Segments, Arcs, Chords, Angles and more". I am having difficulty getting a good print. Everything is blurry and practically unreadable. I have downloaded the latest version of Acrobat reader but it didn't help. What can I do to correct the problem? I too would like to see the Major arc identified with three points instead of just two. Thanks so much for your help and I look forward to hearing from you. Dianne Allen I'm sorry to hear you're having printing problems. Under normal circumstances what you see on the computer screen should be the same as what's printed. I recommend that you print from another available printer. If you are unable to do this or it still is blurry, let me know and I will mail you a printed clear copy. April 15, 2013 sheripoulter re: Algebra: Probability Thanks so much for this free download! Do you have an answer key for it? Sheri Your math products look very impressive. I struggle to make the tests I use in my classroom look professional. What software do you use to create coordinate graphs. Several sites suggest I use Excel, but I find it distorts the grids when printing. I have been hired by my school system to create a diagnostic test for pre-algebra and I need a good source for creating linear and non-linear functions graphs. I can create them by hand, but I would like to try to make them using software. What program would you suggest? And I am curious, what is SAVE? Is it a remediation math program? Don't worry, I will never be competition for your sales. I'm not nearly that good at this. Hello - I am writing regarding your "Circles: Segments, Arcs, Chords, Angles and more". I have found a few inconsistencies - and wanted to let you know. This way you could fix them if you would like before I give a rating. Pg 2 - Is there an answer document for this page? I see the answers at the end - but they do not appear to be for the Page 2 exercises. Pg 3 - Major arc - is it possible to do the identification of the major arc with three points instead of just two? This way we can distinguish between the major and minor arcs in name (a general convention) Also, the figure at the bottom right - there are two points labeled "R". This makes it confusing for the students. Pg 4 - the figure for Part C - Is it possible to have letters to identify all of the points of intersection of the segments and the circle? When the students are identifying the two arcs that correspond with angle GPL - there is not an identifying letter for the minor arc intersection. Thank you so much - I appreciate all of your hard work and look forward to giving you a full four star rating... If you prefer not to make these changes - just let me know - and I will submit my rating at that time. Hi, in case my other message didn't go through....I purchased your step-by-step algebra packet and it is awesome. Please let me know when you have any additional work to add. I would like to see something on LCD as well as anything fraction related! Please email me when it is ready, I would like to purchase. Thanks:)MP re: Step By Step Algebra Basics (82 pages!) I purchased your "Step by Step Algebra Basics" and would like to know if you have an answer key. I look forward to the completion of this packet can you notify me so I can purchase. I teach high school SDC students and this step by step is perfect. Thank you
Some probability problems are so difficult that they stump the smartest mathematicians. But even the hardest of these problems can often be solved with a computer and a Monte Carlo simulation, in which a random-number... $ 20.99 Some probability problems are so difficult that they stump the smartest mathematicians. But even the hardest of these problems can often be solved with a computer and a Monte Carlo simulation, in which a random-number... $ 19.49 Boolean algebra, also called Boolean logic, is at the heart of the electronic circuitry in everything we use--from our computers and cars, to our kitchen gadgets and home appliances. How did a system of mathematics... $ 25.79 What are your chances of dying on your next flight, being called for jury duty, or winning the lottery? We all encounter probability problems in our everyday lives. In this collection of twenty-one puzzles,... $ 19.49... $ 19.49 Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In... $ 17.49 What is the best way to photograph a speeding bullet? Why does light move through glass in the least amount of time possible? How can lost hikers find their way out of a forest? What will rainbows look like... $ 27.79 How do technicians repair broken communications cables at the bottom of the ocean without actually seeing them? What's the likelihood of plucking a needle out of a haystack the size of the Earth? And is it possible...
1.1.7 Using the memory buttons Multiple Clearing the previous calculation Simple arithmetic Keeping the calculator running on your Windows desktop Launching the Windows scientific calculator Where do you go from here? Using diagrams of your own choice and design Option 3: Linking the diagrams to a case Option 2: Copying out Using diagrams from course materials or other sources4 Reading graphs and charts: extracting information3 Reading graphs and charts: getting started stated (see terms and conditions), this content is made available under a No related items provided in this feed 2.2.2 Reading graphs and charts: manipulating numbers Reading diagrams: questioning what they say Reading1 Rewriting text as relationship Analysing text Types of
FOUNDATIONS OF GEOMETRY THE FOUNDATIONS OF GEOMETRY is a textbook for an undergraduate course in axiomatic geometry. The course is suitable for all mathematics majors, including those who plan to become high school mathematics teachers. The textbook implements the recent recommendations regarding "The Mathematical Education of Teachers" within the context of a traditional axiomatic treatment of geometry. In addition to all the standard topics (Euclid's Elements, axiomatic systems, the parallel postulates, neutral geometry, Euclidean geometry, hyperbolic geometry, constructions, transformations, and the classical models for non-Euclidean geometry), the book also includes a chapter on polygonal models for the hyperbolic plane and the geometry of space. Basic information about the book More information about the book is available in the Prentice Hall catalog. If you wish to obtain a copy, you can either order one directly from the publisher or from a bookseller such as Amazon.com. The cover art is by Victor Vasarely, Hungarian-born French abstract painter, 1908-1997. Geometer's Sketchpad supplement now includes Poincaré disk A supplement entitled EXPLORING ADVANCED EUCLIDEAN GEOMETRY with Geometer's Sketchpad is now available. This book can be used either as a lab manual to supplement a course taught from THE FOUNDATIONS OF GEOMETRY or as a stand-alone introduction to advanced topics in Euclidean geometry. The book utilizes dynamic geometry software, specifically Geometer's Sketchpad®, to explore the statements and proofs of many of the most interesting theorems in advanced Euclidean geometry. The text begins with a complete introduction to Geometer's Sketchpad; the remainder of the text consists almost entirely of exercises that guide students as they discover the mathematics and then come to understand it for themselves. It covers such topics as triangle centers, circumscribed and inscribed circles, medial and orthic triangles, the nine-point circle, the theorems of Ceva and Menelaus, and many applications of the theorems of Menelaus and Ceva. The latest edition (July, 2006) includes chapters on Euclidean inversions and the Poincaré disk. Click on the link below to be directed to a page where you can download all or part of the manuscript. Additional items available at this time Errata A third printing of the book is available as of May, 2007. The first two printings contained a number of minor typographical errors that have been corrected. If you should discover an error in the third printing or an uncorrected error in an earlier printing of the book, please notify Gerard Venema (venema@calvin.edu). Any error that is brought to my attention will be corrected in the next printing.
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I am going to high school now. As math has always been my problem area, I purchased the course books in advance. I am plan studying a handful of chapters before the classes begin. Any kind of help would be much appreciated that could aid me to start studying f1 maths exercise download myself. You might want to check out Algebrator. I bought it some time back to help me with my Remedial Algebra course and I can say that it was a wise decision. There are so many demos provided which you can go through. You can also try out the questions related to difference of squares and percentages by just typing them in. Algebrator provides complete description to the problems which helps to make difficult concepts understandable. I would say that this program is absolutely the best that money can buy. I agree. Algebrator not only gets your assignment done faster, it actually improves your understanding of the subject by providing useful tips on how to solve similar questions. It is a very popular software among students so you should try it out. least common denominator, proportions and graphing were a nightmare for me until I found Algebrator, which is really the best algebra program that I have ever come across. I have used it frequently through many algebra classes – Pre Algebra, College Algebra and College Algebra. Just typing in the math problem and clicking on Solve, Algebrator generates step-by-step solution to the problem, and my math homework would be ready. I really recommend the program.
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Refine Your Search: Comment: Should go to examples after each concept rather than at the end. Probably would be better to use excel instead of a... see more Comment: Should go to examples after each concept rather than at the end. Probably would be better to use excel instead of a calculator.Technical Remarks:Probably would be better to use excel instead of a calculator Author: wm Nelson (Faculty
Khanacademy is pretty good for getting a good, all around knowledge of a lot of things, from US history to science. As far as the math goes (from the couple videos I watched), it seems pretty standard. That is, you are not going to learn anything there that you can't learn from a high school textbook. Of course, you cannot find Khan's charm in a text book.
Product Description Too many students end their study of mathematics before ever taking an algebra course. Others attempt to study algebra, but are unprepared and cannot keep up. "Key to Algebra" was developed with the belief that anyone can learn basic algebra if the subject is presented in a friendly, non-threatening manner and someone is available to help when needed. Some teachers find that their students benefit by working through these books before enrolling in a regular algebra course--thus greatly enhancing their chances of success. Others use "Key to Algebra" as the basic text for an individualized algebra course, while still others use it as a supplement to their regular hardbound text. Allow students to work at their own pace. The "Key to Algebra" books are informal and self-directing. The authors suggest that you allow the student to proceed at his or her own pace. Book 4 covers Polynomials. Product Reviews Key To Algebra, Book #4 4.7 5 3 3 Algebra doesn't change over the years This is still a great program to help students drill specific concepts in a process driven way. It has really helped drive home ideas like Polynomials and their factoring in a way our basic text book wasn't quite able too. The focus on specific topics is "key". November 29, 2012 Advanced book for bright students. My daughter has been placed to Honor Algebra class after going over this and a few similar books. Strongly reccomend. March 3, 2008 My daughter liked this book and was able to follow the concise directions with out our help. August 30, 2007
Introduction Welcome! This site has been designed to "assist you in your pursuit of increased mathematical understanding," or whatever sounds good to you. The subjects covered range from Pre-Algebra to Calculus. First, a little background. As we worked our way through various math classes throughout the years, we often became confused or lost. Instead of deciding that it might have something to do with all the sleeping and talking we did during class, the teaching style, the pace of the class, or something like that, we figured that it was probably because we were just morons. So for those of you who are "morons like us," here's a site that will help you understand math concepts better. This site will hopefully clarify some of those confusing math concepts. You know -- the ones that have been waking you up in the middle of the night for so long! Learn This is the largest portion of the site -- where you will find tutorials, sample problems, and quizzes. Here are a few important notes about this section: Most other sites we've seen attempt to teach things "from the bottom up." This site is designed under the assumption that you know some of the basic concepts but need some reinforcement. Or, perhaps you want to review things you learned ages ago. Also, we have included a short quiz after each tutorial so you can test yourself on what you've just learned or reviewed. One other point of clarification: "Algebra" covers elementary algebra, "Algebra II" covers intermediate algebra as well as basic trigonometry, and "Precalc" covers advanced algebra. Interact Interaction is what makes the Internet great, so we've provided a number of interactive resources to help you with math. Message Board We have often found that many problems can be solved by simply asking someone else for some quick help, so we've included a Message Board on the site where you can go communicate with others. And for all the students out there who are suffering though calculus, we've set up a separate Calculus Message Board for calculus students only. Don't you feel special? Formula Database Have you ever needed to use a formula or equation, but couldn't quite remember it? Now you can use our Formula Database. Commonly used formulas have already been added to the database. You can search the database as well as add new equations to the collection. Take a look! And add your favorite equation -- we know you have one . . . Quizzes This page provides easy access to our JavaScript and text-only quizzes. That way, if you want the quiz but don't want to wade through the lessons, you don't have to. Math Links There are a lot of great math sites on the Internet. This page has links to some of our favorites. Educators Teachers and educators are welcome to visit this section. Anyone else is forbidden! :-) Feedback Do you feel an intense need to send some feedback to the "morons" who created this site? Here's your chance! Credits If you really care, you can look at all of our credits and acknowledgments.
We provide FREE Solved Math problems with step-by-step solutions on Elementary, Middle, High School math content. We also... see moreWeUseMath.org is a non-profit website that helps to answer this question. This website describes the importance of... see more WeUseMath.org is a non-profit website that helps to answer this question. This website describes the importance of mathematics and many rewarding career opportunities available to students who study mathematics. Includes a video and teacher resources. A Singaporean Maths site catering to the cambridge A level H2 maths syllabus; it alsocontains two large question/solution... see more A Singaporean Maths site catering to the cambridge A level H2 maths syllabus; it alsocontains two large question/solution portals -״The Question Locker" and "Beyond H2 maths״which are relevant to the general high school and early college maths student. PUMAS (poo' • mas) -- is a collection of brief examples showing how math and science topics taught in K-12 classes can be... see more PUMAS (poo' • mas) -- is a collection of brief examples showing how math and science topics taught in K-12 classes can be used in interesting settings, including every day life. The examples are written primarily by scientists, engineers, and other content experts having practical experience with the material. They are aimed mainly at classroom teachers, and are available to all interested parties via the PUMAS web site A computational tool that runs the one-way ANOVA by the user inputing individual data or by copying and pasting a delimitted... see more A computational tool that runs the one-way ANOVA by the user inputing individual data or by copying and pasting a delimitted data set. This reference also includes description of what the ANOVA is and how it compares to the t-test.
Alexander Kheyfits Alexander Kheyfits A Primer in Combinatorics (De Gruyter, 2010) This textbook on combinatorics and graph theory, cornerstones of discrete mathematics, systematically employs the basic language of set theory. This approach is often useful for solving combinatorial problems, especially problems where one has to identify some objects, and significantly reduces the number of students' errors. The book uses simple model problems to begin every section. Following their detailed analysis, the reader is led through the derivation of definitions, concepts, and methods for solving typical problems. Theorems are then formulated, proved, and illustrated by more problems of increasing difficulty. Topics covered include elementary combinatorial constructions, graphs and trees, hierarchical clustering algorithms, more advanced counting techniques, and existence theorems in combinatorial analysis. The textbook is suitable for undergraduate and entry-level graduate students as well as for self-education. Alexander Kheyfits (Assoc. Prof., Bronx Community) is on the doctoral faculty in physics.

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