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Introduces elementary mathematics as it is used in engineering and science, keyed to intermediate and advanced GNVQ examinations in Britain, Australia, and former colonies in Africa. For such areas as algebra, geometry, trigonometry, calculus, and probability, briefly outlines the theory but counts on the examples and problems to codify it in the student's mind. Assumes no particular background in any area of mathematics. Two companion volumes continue the coverage through intermediate and advanced levels
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Interpreting Graphs
It's important to learn about interpreting graphs so that we can understand graphing which is a fundamental part of Algebra and later math courses. Interpreting graphs involves understanding what the shape of a curve represents in real life situations. We should also understand what slope means and how to interpret what a high or low slope value represents. An understanding of plotting points is also important.
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II. Mastery of these topics must be proven on the Test Out exam in order to be
granted ... Unit Circle Values and Properties ... Write the symbolic form and
sketch the graph of simple polynomial functions.
GPS Advanced Algebra A Unit 2 ... The end behavior of a polynomial function's
graph is the behavior of the graph as x approaches ..... Test an x-value in each
partition to see if it satisfies that partition.
Algebra II will build on the skills and concepts of Algebra I. It will accomplish this
... Unit 2 Graphing Quadratic Functions ... Grades are based on points from the
following areas: quizzes, unit tests, class.
Unit 5: Quadratic and Higher Order Polynomial Functions. ... the units ensures
that all GLEs to be tested are addressed prior to the ... Algebra II. Unit 1:
Functions. Time Frame: Approximately five weeks.
with a review of linear and quadratic functions, to solidify a foundation for
learning these new functions. ... The Common Core practice ... Assessments
including quizzes, tests, and cumulative exams ...
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Linear Equations 6-9 - MAT-942 how to use engaging hands-on activities within the context of real-world situations to help students develop an understanding of linear function concepts. Through measuring and counting students discover patterns and relationships that they analyze, generalize, represent, and describe with tables, graphs, and rules that are expressed in words and with equations. This course requires student participation.
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Testimonial
"I enjoyed the opportunity to reflect after each lesson on how I would incorporate the new knowledge into my curriculum. I feel very confident that I'll be able to use this new technology with my students this year."
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Translating words into symbols is equivalent to modeling a situation using an equation and variables. Similarly, algebraic equations and inequalities can represent the quantitative relationship between two or more objects.
Variables have important roles in algebra. Often, they serve as placeholders in equations for which there are unknown quantities. In such cases, finding the specific value of the variable for which an equation is true yields the solution to the problem. Students are likely to be familiar with this from early elementary school, when they filled in the square to make a statement such as 5 + = 13 true.
One example of a problem that uses a variable in this way involves finding the width of a rectangle when the area and length are known. If the area is 36 square units and the length is 9 units, an equation for finding the width (w) of the rectangle is 9w = 36. In this situation, the variable w does not vary; it is a placeholder representing 4 units.
Another use of variables is to represent quantities that truly vary. In the area formula 36 = lw, the value of each variable depends on the value of the other. Consequently, as the value of one variable changes, the values of the other variables change, too. Used in this manner, variables serve several purposes that we will explore in the Role in the Curriculum section of this workshop.
Other examples:
If a runner jogs one mile in eight minutes, the number of miles the
runner covers in t minutes can be represented by the expression
.
Therefore, the equation
could be used to determine how long it took to run
miles.
More generally, if the distance run is d miles, the linear function
can be used.
To determine the number of 1-foot tiles needed to construct a border around a pool that measures l feet by w feet, consider that the two lengths need l tiles each, the two widths need w tiles each, and four tiles are needed at the corners. The equation could be 2l + 2w + 4. Equivalently, however, the following expressions also represent the number of tiles needed: 2(l + w + 2), (l + 2)(w + 2) - lw and 2(l + 1) + 2(w + 1).
Mathematical Definition
Variable: A symbol used to represent an unspecified member of some set. A variable is a "place holder" or a "blank" for the name of some member of the set. Any member of the set is a value of the variable and the set itself is the range of the variable. If the set has only one member, the variable is a constant. The symbols x and y in the expression x2 - y2 = (x + y)(x - y) are variables that represent unspecified numbers in the sense that the equality is true whatever numbers may be put in the places held by x and y.
(Source: James, Robert C. and Glenn James. Mathematics Dictionary [4th edition]. New York: Chapman and Hall, 1976.)
Role in the Curriculum
Variables, expressions, and equations are important parts of the algebra curriculum. The National Council of Teachers of Mathematics (NCTM) states:
Students' understanding of variable should go far beyond simply recognizing that letters can be used to stand for unknown numbers in equations ... The following equations illustrate several uses of variable encountered in [algebra]:
The first equation illustrates the role of variable as "place holder:" x is simply taking the place of a specific number that can be found by solving the equation. The use of variable in denoting a generalized arithmetic pattern is shown in the second equation; it represents an identity when t takes on any real value except 0. The third equation is a formula, with A, L, and W representing the area, length, and width, respectively, of a rectangle. The third and fourth equations offer examples of covariation: in the fourth equation, as x takes on different values, y also varies.
(Principles and Standards for School Mathematics, NCTM, 2000, p. 224)
Students should be able to relate variable expressions and equations to other forms of representations, such as tables, graphs, and verbal descriptions. One way of developing competency in this area is to use a functional approach. Present students with a table of values and have them generate a function to describe the relationship. For instance, consider the following table:
x
y
1
4
2
7
3
10
4
13
5
16
From this table, students should notice that the y value is always equal to one more than three times the x value. Stating this relationship using variables, y = 3x + 1.
In a similar manner, Janel Green used a real-world problem involving the number of tiles needed to form a border around a rectangular pool. This problem provides a context in which students can use variables to represent a situation. NCTM recommends the pool-border problem as a means of developing fluency in using various representations:
Students should become flexible in recognizing equivalent forms of linear equations and expressions. This flexibility can emerge as students gain experience with multiple ways of representing a contextualized problem. For example, consider the following problem, which is adapted from Ferrini-Mundy, Lappan, and Phillips (1997):
A rectangular pool is to be surrounded by a ceramic-tile border. The border will be one tile wide all around. Explain in words, with numbers or tables, visually, and with symbols the number of tiles that will be needed for pools of various lengths and widths.
(PSSM, p. 282)
Both examples above give students the opportunity to translate numerical situations into symbolic expressions. However, it is also important for students to translate symbolic expressions into words. For instance, students might be given the expression 6x + 3 and asked to state a situation for which that expression could serve as a representation. A possible response might be, "Harriet has three beads. She can buy more in packets of six beads each. If she buys x packets, she will have 6x + 3 beads." Exercises of this type could be extended to include more complex expressions and equations. In most classrooms, students typically gain extensive experience translating situations into symbolic expressions, but they generally don't encounter opportunities in the other direction. Experience with both types of situations - generating expressions for particular situations, and generating situations for particular expressions - is known as "bi-directional practice," and such practice is crucial for developing in-depth understanding.
Effectively translating words into symbols involves recognizing equivalent forms of the same relationship. Representing the same situation in more than one way provides opportunities for students to understand equivalent algebraic expressions. The pool problem Janel Green used is one such example. NCTM states:
Complex symbolic expressions also can be examined, such as the equivalence of 4 + 2L + 2W and (L + 2)(W + 2) - LW when representing the number of unit tiles to be placed along the border of a rectangular pool with length L units and width W units. (PSSM, p. 225)
Once students have found more than one expression that describes the number of tiles needed, they should be asked to find as many equivalent expressions as possible, and to discuss reasons why the expressions are equivalent.
In addition to meeting the NCTM Algebra Standard, the ability to interpret and describe situations in various ways helps students attain the goals of the Representation Standard. By the end of high school, students are expected to understand various representations of the same relationship and effectively represent situations using tables, graphs, and symbolic expressions. NCTM explains this further:
By working on problems like the "tiled pool" problem, students gain experience in relating symbolic representations of situations and relationships to other representations, such as tables and graphs. They also see that several apparently different symbolic expressions often can be used to represent the same relationship between quantities or variables in a situation. The latter observation sets the stage for students to understand equivalent symbolic expressions as different symbolic forms that represent the same relationship. In the 'tiled pool' problem, for example, a class could discuss why the four expressions obtained for the total number of tiles should be equivalent. They could then examine ways to demonstrate the equivalence symbolically. For example, they might observe from their sketches that adding two lengths to two widths (2L + 2W) is actually the same as adding the length and width and then doubling: 2(L + W). They should recognize this pictorial representation for the distributive property of multiplication over addition - a useful tool in rewriting variable expressions and solving equations. In this way, teachers may be able to develop approaches to algebraic symbol manipulation that are meaningful to students.
(PSSM, p. 283)
Students can solve some equations by examination or guess-and-check procedures; other equations may warrant a paper-and-pencil solution or possibly the use of technology and algebra software. A major goal of algebra is for students to acquire fluency with symbols, expressions, and equations, and to be able to represent various situations using algebraic expressions and equations. In this way, they will be able to determine which method of solution is most appropriate for a given problem.
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rete Mathematics and Its Applications
The goal of this text is a focused introduction to the primary themes in a discrete mathematics course, as introduced through extensive applications, ...Show synopsisThe goal of this text relevance and practicality of discrete mathematics to all students. The fifth edition True to the fourth edition, the text specific This text is designed for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite012 Brand new book. International Edition. Ship...New. 00713150126311631154
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Maths GCSE 1000
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The "Algebra For Tutoring, Book #1, Basics of Algebra" book was written following the concept of few words and many formulas and exercises. We hope this book will be useful for tutors, those being tutored, specialists, college, and school students and teachers, as well as others who wish to improve or enforce their, or their students', knowledge in general mathematics and in the Basics of Algebra particularly. The book may also be useful to those who wish to study mathematics on their own. There are no other books like it in the market. The books that come closest to being competitors are current textbooks, which are, however, not directed toward tutors and their students, and are hardly good for self-study. The book, though written in a simple manner, allows for a broad, deep, and complete understanding of the material. The book is about natural numbers, whole numbers, integers, and the operations between them - a knowledge that is used in every single field and studied as a requirement in schools all over the world. This book can serve as a reference and teaching manual for tutoring centers, school teachers and students, SAT/PSAT practices, college level professors and students, math enthusiasts, as well as the general public who wishes to understand the very basics of algebra. The book has a professional and well-thought-of structure. It quickly and efficiently presents and reinforces the essential concepts and skills of basic algebra. Each section of the book contains the necessary definitions, and properties, as well as corresponding examples with step by step explanations of how to approach and solve problems, which greatly help to absorb the material. At the end of each section, there are numerous exercises for the students to try and do, so as to further enforce their knowledge in the topic. In the section 7, Extra examples and Exercises, there are many interesting and nonstandard exercises. This section helps to complet [via]
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Series has helped thousands of students succeed in developmental mathematics by providing the best learning and teaching support to students and instructors. The Lial Serieshas helped thousands of students succeed in developmental mathematics by providing the best learning and teaching support to students and instructors.
6.3 Using the Percent Proportion and Identifying the Components in a Percent Problem
6.4 Using Proportions to Solve Percent Problems
6.5 Using the Percent Equation
6.6 Solving Application Problems with Percent
6.7 Simple Interest
6.8 Compound Interest
7. Geometry
7.1 Lines and Angles
7.2 Rectangles and Squares
7.3 Parallelograms and Trapezoids
7.4 Triangles
7.5 Circles
7.6 Volume and Surface Area
7.7 Pythagorean Theorem
7.7 Congruent and Similar Triangles
8. Statistics
8.1 Circle Graphs
8.2 Bar Graphs and Line Graphs
8.3 Frequency Distributions and Histograms
8.4 Mean, Median, and Mode
9. The Real Number System
9.1 Exponents, Order of Operations, and Inequality
9.2 Variables, Expressions, and Equations
9.3 Real Numbers and the Number Line
9.4 Adding Real Numbers
9.5 Subtracting Real Numbers
9.6 Multiplying and Dividing Real Numbers
9.7 Properties of Real Numbers
9.8 Simplifying Expressions
10. Equations, Inequalities, and Applications
10.1 The Addition Property of Equality
10.2 The Multiplication Property of Equality
10.3 More on Solving Linear Equations
10.4 An Introduction to Applications of Linear Equations
10.5 Formulas and Additional Applications from Geometry
10.6 Solving Linear Inequalities
11. Graphs of Linear Equations and Inequalities in Two Variables
11.1 Linear Equations in Two Variables; The Rectangular Coordinate System
11.2 Graphing Linear Equations in Two Variables
11.3 The Slope of a Line
11.4 Writing and Graphing Equations of Lines
11.5 Graphing Linear Inequalities in Two Variables
12. Exponents and Polynomials
12.1 Adding and Subtracting Polynomials
12.2 The Product Rule and Power Rules for Exponents
12.3 Multiplying Polynomials
12.4 Special Products
12.5 Integer Exponents and the Quotient Rule
12.6 Dividing a Polynomial by a Monomial
12.7 Dividing a Polynomial by a Polynomial
12.8 An Application of Exponents: Scientific Notation
13. Factoring and Applications
13.1 Factors; The Greatest Common Factor
13.2 Factoring Trinomials
13.3 Factoring Trinomials by Grouping
13.4 Factoring Trinomials by Using the FOIL Method
13.5 Special Factoring Techniques
13.6 A General Approach to Factoring
13.7 Solving Quadratic Equations by Factoring
13.8 Applications of Quadratic Equations
14. Rational Expressions and Applications
14.1 The Fundamental Property of Rational Expressions
14.2 Multiplying and Dividing Rational Expressions
14.3 Least Common Denominators
14.4 Adding and Subtracting Rational Expressions
14.5 Complex Fractions
14.6 Solving Equations with Rational Expressions
14.7 Applications of Rational Expressions
14.8 Variation
15. Systems of Linear Equations and Inequalities
15.1 Solving Systems of Linear Equations by Graphing
15.2 Solving Systems of Linear Equations by Substitution
15.3 Solving Systems of Linear Equations by Elimination
15.4 Applications of Linear Systems
15.5 Solving Systems of Linear Inequalities
16. Roots and Radicals
16.1 Evaluating Roots
16.2 Multiplying, Dividing, and Simplifying Radicals
16.3 Adding and Subtracting Radicals
16.4 Rationalizing the Denominator
16.5 More Simplifying and Operations with Radicals
16.6 Solving Equations with Radicals
17. Quadratic Equations
17.1 Solving Quadratic Equations by the Square Root Property
17.2 Solving Quadratic Equations by Completing the Square
17.3 Solving Quadratic Equations by the Quadratic Formula
17.4 Graphing Quadratic Equations
17
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Trigonometry
Mathcentre provide these resources which cover aspects of trigonometry and are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include the trigonometric ratios, using Pythagoras' theorem, cosecant, secant and cotangent, the addition formulae , radians and trigonometric identities.
Comprehensive notes, with clear descriptions, for each resource are provided, together with relevant diagrams and examples. Students wishing to review, and consolidate, their knowledge and understanding of trigonometry will find them useful, as each topic includes a selection of questions to be completed, for which answers are provided
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Mathematical Symbols
Help
POV-Wiki supports the standard mediawiki math markup (available via the √n button on the edit toolbar). Additionally, it has an interactive TEX editor, called the 'TEX Box', which appears in a popup window when you click on the ∑ button at the left of the edit toolbar.
Inserting Formulas
Inserting TEX markup is done using <math>...</math> tags. For example, to display the following quadratic formula
<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>
you could use the markup
<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>
Consistent Use of <math>...</math>
It is strongly advised that <math>...</math> be used around all mathematics added to this wiki, even if the assistance of TEX is not required (e.g. if the formula could be displayed using standard HTML). This will assist when exporting the wiki into other formats, such as PDF.
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More Teaching Learning and Mathematics with ICT
This book contains a compilation of articles from Micromath, a journal of The Association of Teachers of Mathematics. The articles were published between Spring 1995 and Winter 1999. The articles have been selected to encourage and enable the reader to use ICT in their classroom. Their content ranges from primary, through secondary to higher education, with some articles encompassing more than one category.
They have been arranged into four main themes of logo, geometry and spreadsheets, and graphic calculators along with a miscellaneous section, which dips into different topics including, the internet. There is also a section of challenges.
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Find a Coconut Grove, FL CalculusDiscrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis. Discrete objects can often be enumerated by integers. More formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets (sets that have the...
...Here, my engineering background comes in very handy, as I am always able to relate scientific material to real-world applications. For example, when teaching geometry, I tend to help students better understand how important it is when dealing with civil engineering and structures. Similarly, when teaching algebra, I strive to give examples from exciting fields such as computer engineering
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Algebra II students will model realistic situations with both linear and non-linear functional forms using the relationship between text, equations, graphs, and tables.Students will communicate about mathematical functions, solve real-world problems, strengthen their conceptual foundations, and develop an understanding of Algebra's relevance in everyday life.
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Description of Math In Focus Student Pack by Saxon/Harcourt
Saxon's Math in Focus program is the American version of the highly popular and successful Singapore Approach to mathematics. This approach places strong emphasis on problem-solving and model-drawing skills, with definitions of core math concepts explained in extremely simple terms.
Instructional advantages to the Math in Focus program include paced instruction for optimum mastery of concepts, consistent use of visual models and manipulatives for concrete/abstract awareness, and problem-solving methods that help students visualize and understand math concepts.
This Grade 2 Student Pack contains all the resources required for a full year's worth of study. "A" books pertain to the first semester's study focus, while "B" books pertain to the second semester's study focus. Contents include the following:
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The greatest advantage of Saxon Math is that each lesson provides practice not only for the new problems but also built-in review for every kind of problem the student has previously encountered. Math 54 is no exception to the rule that Saxon Math texts help students learn math well. After Math 54, all of my kids who have taken it were definitely ready to move on to the next level.
In general, Saxon Math, including Math 54, is highly recommended. It is especially ideal for homeschooling families.
My kid does Saxon Math at her school. So decided to buy the same book and help her with exercises over the weekends. But while ordering, instead of ordering the Children edition, bought the teacher's edition. The book is exact same as Children's edition but answers in bold red next to the questions, making it totally unusable for children's homework.
I wrote the seller and requested to return it. The seller took few days to reply and those two days, I found how useful this book can be..Once my daughter finishes her exercise, check the answers in 30 seconds instead of 10-15 Minutes it takes everyday.
I did not return the book and instead ordered another book for Children .
As far as Saxon Math goes, it is a wonderful compliment for word problems.Tons of word problems alone makes it worth. The way exercises are built with couple of questions similar to those learnt in previous chapters is very well done.
I love this book and use it with the DIVE cd-rom. I highly recommend Saxon for lots of practice and building on concepts. There is much to be said for the DIVE program as well: It is awesome to have a computer tutor to teach each lesson! I love it!
I have used this book over and over again. After I give students the Saxon Math test, I can see which book the student needs to be put in. I have used the supplements in the books to bring students up to have basic skills in Math. This is a great book that reinforces adding, subtraction, multiplication, and division. This book is a tremendous help.
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...Show more college math courses and their future teaching experiences, along with helpful ideas for presenting math to their students in a way that will generate interest and enthusiasm. The text draws heavily on NCTM Standards and contains many pedagogical elements designed to foster reasoning, problem-solving and communication skills. The ninth edition represents a significant step forward in terms of online course management as roughly half of all problems in the text will be assignable through our new online homework platform, Connect Mathematics. In addition, Connect Mathematics will be fully integrated with Blackboard, providing the deepest integration of an online homework and course management system in the market today. Additionally, this text can be packaged with an activity set that corresponds to each section of the companion text, " Mathematics for Elementary Teachers: An Activity Approach, " also by the Bennett, Burton, and Nelson team. " Mathematics for Elementary Teachers: An Activity Approach " can be used independently or along with its companion, " Mathematics for Elementary Teachers: A Conceptual Approach. "
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Supplies you need Algebra pencils 3-ring notebook with dividers and paper 2 spiral notebooks calculator (don't need a fancy one, but you need one!!!!! If you want to purchase a fancy one I recommend a TI-83 . . .you will never be able to use any electronic device in class other than a calculator. grid paper
Geometry same items as Algebra and: protractor compass ruler scissors
Welcome to Stadium and Algebra 1/Geometry 1. This year will be filled with a lot of "new" and will be both challenging and rewarding. It's always empowering to succeed at something you've never tried before. I look forward to sharing this year's experiences with you.
A couple of graduation seasons ago my young sons attended high school graduation with me and were curious as to why some students were getting paid to graduate - I explained to them how scholarships to colleges and other learning institutions work. They asked me if they would get paid when they graduated and I told them that would depend on their choices. I want you (students) to start thinking about how much you want to get paid when you graduate. How much will your extended education cost and what steps do you need to start taking now.
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Mathematics for Business, Science, and Technology with MATLAB and Excel Computations, 3e
Written for high school graduates preparing to take business or science courses at a community college or university, and for young students enrolled in continuing education courses, this book presents fundamental mathematics concepts solved using MATLAB and Excel. Topics covered include algebra, geometry, probability and statistics, random variables, curve fitting, and Markov chains. An introduction to MATLAB is included in an appendix. In addition, each chapter includes examples solved with MATLAB.
Free Mathematical Modeling Technical Kit
Learn how you can quickly build accurate mathematical models based on data or scientific principles.
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This program consists of a developmental mathematics class that assists students with intermediate algebra (MAT 1010). Students enrolling in this option will form a learning community where they can help one another. To assist with this, the course will have a trained tutor who attends the class and then meets with students for supplemental instruction in the afternoons to help them progress daily. Taking this course during the summer will give students a strong academic foundation for course work in the fall semester, and will also fulfill developmental education requirements for those who test into these skills. The Summer Bridge Program will also help students become involved with university life as a whole, introducing them to many facets of belonging to a campus.
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allows you to work in a very natural way, for instance, entering formulae in a full screen editor. You're able to enter complex equations with fractions, exponents, integrals, square roots and more. And you're not restricted to just one: the program will accept several equations on the same page, with the result from one being carried to the next.
If this sounds complicated, then it can be, depending on what you're doing. But RedCrab is generally very smart about how it interprets your expressions, and in most cases it'll figure out what you need first time. And when it does, you can then save and load complex formulae for easy reuse later.
You don't have to get involved in complex math every time you use the program, though. RedCrab also works well for more basic calculations. And it's portable, too, so if you need to do math on the move then there are few better options - just install it on a USB flash drive, then call up the program when you need it, on any convenient PC.
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I know Boyd's famous Convex Optimization, but for me it's a little bit old because it was written in 2003 and some progresses have been made during this decade. The book Optimization for Machine Learning fill the gap nicely but it's not a textbook: the chapters are independent, and it doesn't have exercises. So any recommendations for textbooks on modern optimization? Thanks.
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This section contains free e-books and guides on Trigonometry, some of the resources in this section can be viewed online and some of them can be downloaded.
The first six chapters of this book give the
essentials of a course in numerical trigonometry and logarithmic computation.
The remainder of the theory usually given in the longer courses is contained in
the last two chapters.
Elementary trigonometry
is a book written by mathematicians H. S. Hall and S. R. Knight. This book
covers all the parts of Elementary Trigonometry which can conveniently be
treated without the use of infinite series and imaginary quantities. The
chapters have been subdivided into short sections, and the examples to
illustrate each section have been very carefully selected and arranged, the
earlier ones being easy enough for any reader to whom the subject is new, while
the later ones, and the Miscellaneous Examples scattered throughout the book,
will furnish sufficient practice for those who intend to pursue the subject
further as part of a mathematical education.
This book
covers elementary trigonometry. It is suitable for a one-semester course at the
college level, though it could also be used in high schools. The prerequisites
are high school algebra and geometry.
This note is focused on the
following subtopics: Trigonometric Functions, Acute
Angles and Right Angles, Radian Measure and Circular Functions, Graphs of the
Trigonometric Functions, Trigonometric Identities, Inverse Trig Functions and
Trig Equations, Applications of Trigonometry and Vectors.
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05212728gebra Through Practice: Volume 4, Linear Algebra: A Collection of Problems in Algebra with Solutions
Problem-solving is an art central to understanding and ability in mathematics. With this series of books, the authors have provided a selection of worked examples, problems with complete solutions and test papers designed to be used with or instead of standard textbooks on algebra. For the convenience of the reader, a key explaining how the present books may be used in conjunction with some of the major textbooks is included. Each volume is divided into sections that begin with some notes on notation and prerequisites. The majority of the material is aimed at the students of average ability but some sections contain more challenging problems. By working through the books, the student will gain a deeper understanding of the fundamental concepts involved, and practice in the formulation, and so solution, of other problems. Books later in the series cover material at a more advanced level than the earlier titles, although each is, within its own limits, self-contained
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This introduction presents the mathematical theory of probability for readers in the fields of engineering and the sciences who possess knowledge of elementary calculus. Presents new examples and exercises throughout. Offers a new section that presents an elegant way of computing the moments of random variables defined as the number of events that occur. Gives applications to binomial, hypergeometric, and negative hypergeometric random variables, as well as random variables resulting from coupon collecting and match models. Provides additional results on inclusion-exclusion identity, Poisson paradigm, multinomial distribution, and bivariate normal distribution A useful reference for engineering and science professionals
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2768 / ISBN-13: 9781576852767Focuses on word problems to demonstrate practical applicability of algebra skills to real-world problems and standardized test problems. Each chapter covers one important concept, with the emphasison hands-on learning for problem-solving and mastering algebra skills.Focuses on word problems to demonstrate practical applicability of algebra skills to real-world problems and standardized test problems. Each chapter covers one important concept, with the emphasison hands-on learning for problem-solving and mastering algebra skills Algebra Success in 20 Minutes a Day
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Find a Garfield, NJ CalculusAlso have good knowledge of vector, vector spaces, linear transformations, subspaces, linear dependence, span, basis, and dimensions. Eigenvalue/Eigenvector problems as well. One cool thing is the ability to use the computer or calculator to check your answers (besides the book!)
Linear Algebra is used a lot in a variety of areas.
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Tools Mathematics ..."
Mathematics make term manipulation more comprehensible and memorable. The representations of the equations are called visual equation metaphors (VEMs) and consist of simple geometrical shapes. We have produced a computer program, called the VEM generator, that is able to generate geometric analogies based upon equations. We have constructed a computer-based VEM tutor, that uses these geometric analogies to teach users about collecting similar terms together and moving terms from one side of an equation to another. Both programs have been implemented in LPA MacPROLOG 3.5 and run on the Apple Macintosh. A study has been carried out to test the viability of the VEM theory and the VEM tutor, so that potenti...
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study, the author examined the relationship of probability misconceptions
to algebra, geometry, and rational number misconceptions and investigated the potential
of probability instruction as an intervention to address misconceptions in all
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Summary
These popular and proven workbooks help students build confidence before attempting end-of-chapter problems. They provide short exercises that focus on developing a particular skill, mostly requiring students to draw or interpret sketches and graphs. New to the Third Edition are exercises that provide guided practice for the textbook's Problem-Solving Strategies, focusing in particular on working symbolically.
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One of a set of three books for grades 10 – 12. A panel of senior subjects advisors and teachers with many years experience as examiners and sub-examiners wrote the books. A variety of different questions cover the syllabus fully and assist Maths students in the class and to prepare them for their exams. Both teacher and learners can use the explanatory examples with complete solutions fruitfully for continuous evaluation in the class. The last chapter consists of four exam question papers with complete memos.
Ook in Afrikaans beskikbaar as Ken & Verstaan Wiskunde Graad 10
Product details
Author:
Klarin Loots, E.A. Bester
Format:
Softcover
Imprint:
Cambridge University Press
Edition:
2nd revised edition
ISBN:
9780947465605
Series Title:
Study & Master
Audience:
Schools & Educational
Pages:
389
Width (mm):
245
Length (mm):
170
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Elementary Algebra
9780495108399
ISBN:
0495108391
Edition: 8 Pub Date: 2007 Publisher: Thomson Learning
Summary: Algebra is accessible and engaging with this popular text from Charles "Pat" McKeague! ELEMENTARY ALGEBRA is infused with McKeague's passion for teaching mathematics. With years of classroom experience, he knows how to write in a way that you will understand and appreciate. McKeague's attention to detail and exceptionally clear writing style help you to move through each new concept with ease. Real-world applications... in every chapter of this user-friendly book highlight the relevance of what you are learning. And studying is easier than ever with the book's multimedia learning resources, including ThomsonNOW for ELEMENTARY ALGEBRA, a personalized online learning companion.
McKeague, Charles P. is the author of Elementary Algebra, published 2007 under ISBN 9780495108399 and 0495108391. Four hundred sixty two Elementary Algebra textbooks are available for sale on ValoreBooks.com, one hundred twenty three used from the cheapest price of $3.46, or buy new starting at $34
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Math - Home
University Transfer
Learn more!
Sign up now for PierceConnect and keep up on the latest information about our courses, events and opportunities on campus.
In many disciplines, mathematics is used to help make sense of phenomenaobserved in the world. Math also can help us develop critical thinking and reasoning skills that can be used to solve problems in a variety of applications. Pierce College offers two sequences of math courses, pre-college and college-level, to meet the needs of the individual student and his or her goals.
Initial placement in a sequence of courses depends on COMPASS placement test scores. The choices and the number of courses a student takes depend on their chosen field of study and other factors. See a faculty advisor for help.
Pre-College Math
The Mathematics department offers a sequence of introductory courses that build the basic quantitative and symbolic reasoning skills needed in almost all fields of study and professional/technical training.
These pre-college mathematics classes accommodate students entering the college with a variety of math backgrounds. These courses are offered in the Math lab, online, and in traditional classrooms.
Math Lab
The Pierce College Math Labs try to meet different learning styles by providing pre-college level mathematics courses to students in a web-based format. Students take most of the responsibility for their own learning. Attendance is mandatory. There is a minimum pace requirement for the class but students may work ahead. Students who work ahead can be registered for the next class for NO additional costs (during the same quarter at the discretion of the instructor provided that the student has shown sufficient mastery by the 7th week). Class time is spent working exercises online, reading the book online, watching videos online and taking tests online. All tests and the final exam must be taken in the lab. An instructor or tutor will always be available to assist students.
The Fort Steilacoom Math Lab uses the web-based program ALEKS. The Puyallup Math Lab uses the web-based program MyMathLab.
Courses offered through the Math Lab:
MATH 051: Fundamentals of arithmetic
MATH 054: Pre-Algebra
MATH 060: Introduction to algebra
MATH 098: Intermediate algebra
When the lab is not being used for a class it is available for drop-in Math Lab student use. There will be a tutor available to assist students.
College-Level Math
Pierce College also provides a sequence of college-level math courses for students transferring to four-year colleges or pursuing technical vocational programs. These courses satisfy the math requirements for majors in mathematics, as well as business, accounting, economics, statistics, actuarial science, math education, engineering, and the sciences. These college-level courses include the math needed for the Associate in Science degree from Pierce College.
Each course includes examples of applications taken from many fields of study. Most of these courses require the use of graphing calculators, which may be rented for a nominal fee through the libraries.
College-level courses
The courses listed below satisfy the Quantitative Reasoning Skill (QS) requirement. The prerequisite for all these QS courses can be satisfied by MATH 098 with a grade of 2.0 or higher or placement above MATH 098 on the COMPASS placement test. MATH 095 with a grade of 2.0 or higher will serve as a prerequisite to MATH 107& and MATH& 146. Students unsure of their intended major are urged to take MATH 098 to allow for more options.
MATH& 107: Contemporary mathematics
MATH 114: Applied algebra, geometry, trig
MATH& 141: Pre-calculus I
MATH 147: Finite mathematics
MATH& 131: Structure of elementary mathematics I
MATH& 146: Intro to statistics
Mathematics major
The following courses should be taken,in addition to courses required for the AA degree:
MATH& 151-153: Calculus I-III
MATH 205: Linear algebra
MATH 224: Multivariate calculus
MATH 238: Differential equations
Courses in statistics and computer science are highly recommended for math majors. Math majors should also take one of the sequences of science courses such as physics or chemistry. See your advisor for specific recommendations.
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Short description Key Stage 4 (KS4) maths eBooks comprise three principle sections. These are, notably: (Read more) mathsStraight line graphs is a module within the Geometry and Measures principle section of our Key Stage 4 (KS4) publications. (Less)
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20th & H: GW Law Dean's Blog
Cross Product 2x2 Matrices
Matrix multiplication - Wikipedia, the free encyclopedia In mathematics, matrix multiplication is a binary operation that takes a pair of matrices, and produces another matrix. Numbers such as the real or complex numbers. Crossproduct introduction | Vector dot and crossproducts. Introduction to the crossproduct. We've learned a good bit about the dot product. But when I first introduced it, I mentioned that this was CrossProduct of Two Vectors - Math Homework Help CrossProduct of Two Vectors. Properties of the CrossProduct, examples and solutions/
Fiber & Transport Products - Evertz - Fiber Optics Evertz list of Fiber Optic products including an incredible range of transmitters, receivers and multiplexors
Determinants - Time-saving Math Video by Brightstorm A video on finding a determinant. A determinant is found more easily than a determinant of a larger matrix, and can be found with a simple formula using the. Matrix Games - What's Your Strategy? What's Your Strategy?. Eagle Day to Bombing the Reich 1.02 Update. Released: 15 DEC 2009 for Gary Grigsby's Eagle Day to Bombing the Reich
The CrossProduct - Oregon State University The CrossProduct. Besides the usual addition of vectors and multiplication of vectors by scalars, there are also two types of multiplication of vectors by other vectors. Crossproduct of 2d vectors - Math and Physics - GameDev.net Crossproduct of 2d vectors - posted in Math and Physics: Last night, I was wondering how I get an equation for the crossproduct of 2 2d vectors. But, Im a little.
Lecture 3: Matrices | Video Lectures | Multivariable Calculus. Download this transcript - PDF (English - US) Remember last time.. we learned about the crossproduct of vectors in space. Remember the definition of cross.
Math 113: Linear Algebra and Matrix Theory Math 113: Linear Algebra and Matrix Theory, Spring 2013 Tuesday, Thursday 12:50-2:05pm in 380-380W Teaching Staff
Pauls Online Notes : Calculus II. CrossProduct In this final section of this chapter we will look at the crossproduct of two vectors. We should note that the crossproduct requires both of the vectors to be three. Matrix Multiplication on the TI83/84 - YouTube This video shows how to multiply matrices on the ti83/84. Matrix Games - Unity of Command In 1942, a titanic struggle is reaching its climax in the boundless, trackless expanses of southern Russia. The stakes cannot be higher as you take command of battle.
Tonc: Vectors. Matrices - Coranac C. Vectors and Matrices. Vectors. Vector operations. Matrices. Matrix operations. Spaces, bases, coordinate transformations. C.1. Vectors
2-dimensional crossproduct - Physics Forums 2-dimensional crossproduct in Linear & Abstract Algebra is being discussed at Physics Forums
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Hello everyone! I am still in my last 2 years of highschool, but I plan to go to a technical school for software development. I want to know what kind of math is required for the job? I have done Algebra, Geometry, and I'm now working on Algebra 2. Would I need to go further into Trigonometry and Calculus for software dev?
The kind of software development I would like to get into would be business or web services. I'm not into the deep core low-level stuff due to its ability to be brain busting and hours can be long. :P
13 Answers
Generally, math promotes logical thinking which is in itself very useful for programming. In addition, the field of discrete mathematics is generally cited as useful for programming and I personally tend to agree with this.
My advice is that all math is good math. Since coming into the workforce I've been surprised how much math was useful. Calculus added to my understanding of algorithm complexity, probability and statistics allowed me to usefully analyze performance data, geometry/trigonometry has helped me with graphics. The list goes on.
The one area that I suggest you spend a good amount of time on derivations and proofs. The reason I say this is that deriving and proving are basically the same processes as coding and testing. I find that applying mathematical formalism to my coding process leads to very solid, bug-free code.
I just wanted to mention that you shouldn't think that just because you are going into a more "business" side of software development that the hours won't be long. That usually depends on the culture of the company and the specific project you are working on (and the marketing department that set the launch date ;) ).
Starting with the question of what kind of math is required for a job will leave you with poor preparation for life. You're not learning to get a job. Learning math is a tool, like language, and a high degree of skill with it is useful in many parts of life. Knowing math is a prereq for essential classes in physics that will teach you to think.
Work is changing so fast that you don't know now what jobs you'll have available to you in 10 years, nor until you have worked for a while, what you will really enjoy and pursue later.
Software development is engineering, and it's highly technical. Thus, up to a point, more math ability will always help you. It will help you a lot. You are not yet near the point where more math is a waste of your time going into an engineering field. When you see Green's and Stoke's theorems in a class, you know you've gone far enough.
Some areas specifically you will really want to understand:
Probability, Combinatorics, and Statistics
Geometry and Trig
Calculus, the more the better
Logic, completeness, set theory, recursive algorithms, proofs, computability, etc. but this was not taught in my high school.
If you don't enjoy learning math then software engineering may not be the best choice for you. Much better to figure this out a early as possible.
Anything logic-based will help, even philosophy. If you want to do graphics or game development, you'd want to learn as much math as possible, but for basic web programming I've never had to rely on any calculus, but knowing it definitely won't hurt.
Math is definitely a good thing for software development. For business software development, discrete math will be very helpful, especially when dealing with databases and SQL. Set theory really helps in that arena.
Since it hasn't been mentioned, I'll add graph theory to the list. Set theory, discrete and continuous mathematics, and category theory also matter quite a lot, though you can probably grasp quite a lot of set theory and category theory intuitively.
Nearly all type systems, business domain problems, game decision problems, constraint satisfaction problems, and even basic things like hit testing algorithms or search problems can be reduced to or informed by graph problems.
Counter argument: you don't need any maths at all. What you need is the ability to gather, organise and analyze information; to think creatively; and to devise solutions quickly and clearly. Learning maths may well do that for you but so will many other disciplines.
There are some areas of software where deep maths training is essential, such as scientific computing or anything to do with graphics. But those are niche areas. Most business IT requires basic numeracy and not much more.
Obviously. studying maths is a good thing. Anything which trains your mind to think logically is a good thing. But study the stuff that really interests and excites you.
Otherwise you might as study accountancy. In fact that's not a bad idea. The world - alas - will always need accountants, and it pays them well. You could still go into software. Too few people in IT understand double entry book-keeping.
I've used but modest amounts of calculus (and hardly any trig) as a developer -- the former mostly to help good understanding of statistics and probability theory, which ARE absolutely crucial in many application fields (I'm currently doing mostly SW for Business Intelligence, and great command of probability and stats is really a must in order to excel in this business area, to give just one example). Oh, and a little bit for advanced economics and econometrics, which also DO help a lot in this field.
I do agree with other answers that if you have to choose, areas such as discrete math and logic will help any programmer, while others will only help in certain fields (geometry and trigonometry for graphics and games, which I've never done, for example).
I've used quite a bit of calculus and trigonometry when doing robotics programming. As others here have said, if you're just interested in web dev or similar, then it's not really necessary, but I wouldn't want to limit my options like that. My advice: do as much math as you can! Especially discrete math. Set thory finds its way into many, many aspects of programming, including databases (which will be also impossible to avoid in a career doing business applications).
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Mathematics has been coined as the queen of sciences. Mathematics is the purest and most profound of intellectual disciplines. What other discipline has a golden braid of "truth" reaching from Pythagoras, Euclid, and Archimedes to Fermat, Newton, Euler, Gauss, and Riemann.
Explore
Mathematics, like music, is a universal language. It's the language of the engineer, the biologist, the chemist and the physicist. Carl Sagan's classic novel "Contact" asserts that if there is extraterrestrial intelligence, the means of contact would be mathematics.
Mathematics is a human creative endeavor of understanding. It is the study of patterns in shape, time, distance and space through careful reasoning and rigorous deductions. Modern applications include Magnetic Resonance Imaging (MRI) which enables physicians to see more clearly. Other new mathematic discoveries include a 128-bit encryption for secure commerce on the World Wide Web (WWW), Global Positioning Systems (GPS), algorithms for speech recognition and canning spam by thwarting unwanted e-mail.
Experience
Men and women trained in mathematics are employed in a wide variety of fields where data analysis and logical thought processes are critical. Undergraduate training in mathematics trains students to organize their thought processes and hone their critical thinking skills.
Excel
Trine's program offers small classes taught by full-time professors who are committed to their professions and committed to the development of each student's full potential in an environment that is friendly and non-threatening. Every student is assigned a faculty adviser who will assist in designing an individual program of study. The faculty maintains regular scheduled office hours, as well as regular scheduled "math help" sessions eight hours per week.
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Books
Differential Geometry
Physics is naturally expressed in mathematical language. Students new to the subject must simultaneously learn an idiomatic mathematical language and the content that is expressed in that language. It is as if they were asked to read Les Misérables while struggling with French grammar. This book offers an innovative way to learn the differential geometry needed as a foundation for a deep understanding of general relativity or quantum field theory as taught at the college level.
The approach taken by the authors (and used in their classes at MIT for many years) differs from the conventional one in several ways, including an emphasis on the development of the covariant derivative and an avoidance of the use of traditional index notation for tensors in favor of a semantically richer language of vector fields and differential forms. But the biggest single difference is the authors' integration of computer programming into their explanations. By programming a computer to interpret a formula, the student soon learns whether or not a formula is correct. Students are led to improve their program, and as a result improve their understanding.
Robert Geroch's lecture notes on differential geometry reflect his original and successful style of teaching - explaining abstract concepts with the help of intuitive examples and many figures. The book introduces the most important concepts of differential geometry and can be used for self-study since each chapter contains examples and exercises, plus test and examination problems which are given in the Appendix. As these lecture notes are written by a theoretical physicist, who is an expert in general relativity, they can serve as a very helpful companion to Geroch's excellent "General Relativity: 1972 Lecture Notes."
A readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic calculus and linear algebra. Sections include series of problems to reinforce concepts. physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.
This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The subject is approached with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. The book contains excellent motivation, numerous illustrations and solutions to selected problems.
Differential geometry is the study of the curvature and calculus of curves and surfaces. A New Approach to Differential Geometry using Clifford's Geometric Algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra. This presentation is relevant because Clifford algebra is an effective tool for dealing with the rotations intrinsic to the study of curved space.
Complete with chapter-by-chapter exercises, an overview of general relativity, and brief biographies of historical figures, this comprehensive textbook presents a valuable introduction to differential geometry. It will serve as a useful resource for upper-level undergraduates, beginning-level graduate students, and researchers in the algebra and physics communities.
The second edition of this text has sold over 6,000 copies since publication in 1986 and this revision will make it even more useful. This is the only book available that is approachable by "beginners" in this subject. It has become an essential introduction to the subject for mathematics students, engineers, physicists, and economists who need to learn how to apply these vital methods. It is also the only book that thoroughly reviews certain areas of advanced calculus that are necessary to understand the subject.
Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein's general relativity theory.
There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster.
For this reprint numerous corrections and clarifications have been made, and the layout has been improved.
Foremost book available on polytopes, incorporating ancient Greek and most modern work done on them. Beginning with polygons and polyhedrons, the book moves on to multi-dimensional polytopes in a way that anyone with a basic knowledge of geometry and trigonometry can easily understand. Definitions of symbols. Eight tables plus many diagrams and examples. 1963 edition.
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Intermediate Algebra - 9th edition
Summary: Ideal for lecture-format courses taught at the post-secondary level, INTERMEDIATE ALGEBRA, Ninth Edition, makes algebra accessible and engaging. Author Charles ''Pat'' McKeague's passion for teaching mathematics is apparent on every page. With many years of experience teaching mathematics, he knows how to write in a way that you will understand and appreciate. His attention to detail and exceptionally clear writing style help you to move through each new concept with ease, and real-w...show moreorld applications in every chapter highlight the relevance of what you are 9th Edition text. Hardcover. Book is in good condition. Used items may have stickers on cover, normal wear and tear, and writing/highlighting. If order is placed after Friday, book will ship...show more on Monday. Ships fast. Expedited shipping 2-4 business days; Standard shipping 7-14 business days. Ships from USA! ...show less
$219.27 +$3.99 s/h
New
PaperbackshopUS Secaucus, NJ
New Book. Shipped from US within 4 to 14 business days. Established seller since 2000
Hardcover New 0840064209
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Product Details:
A clear review of standard college course of Mathematics for Elementary School Teachers, this book will be designed to improve your basic knowledge of math content required for this level, engage you in activities that increase confidence and enthusiasm for the subject area, and familiarize you with local and national standards for teaching mathematics (NCTM emphasis). Mathematics covered in this course will include sets; fractions; ration, proportion, and percents; integers, statistics and probability; algebra; geometric shapes; graph theory, and elementary logic.
Description:
A new guide in the best performing Praxis II test
prep series on the market Thirty states require aspiring teachers to pass the Praxis II Middle School Mathematics test. This book provides focused review chapters for every subject covered ...
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More About
This Textbook
Overview
MATLAB: An Introduction with Applications 4th Edition walks readers through the ins and outs of this powerful software for technical computing. The first chapter describes basic features of the program and shows how to use it in simple arithmetic operations with scalars. The next two chapters focus on the topic of arrays (the basis of MATLAB), while the remaining text covers a wide range of other applications. MATLAB: An Introduction with Applications 4th Edition is presented gradually and in great detail, generously illustrated through computer screen shots and step-by-step tutorials, and applied in problems in mathematics, science, and engineering.
Related Subjects
Meet the Author
Amos Gilat, Ph.D., is a Mechanical Engineering Professor at the Ohio State University. Dr. Gilat's research has been supported by the National Science Foundation, NASA, FAA, Department of Energy, Department of Defense, and various
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Summary: These popular and proven workbooks help students build confidence before attempting end-of-chapter problems. They provide short problems and exercises that focus on developing a particular skill, often requiring students to draw or interpret sketches and graphs, or reason with math relationships. New to the Second Edition are exercises that provide guided practice for the textbook's Problem-Solving Strategies, focusing in particular on working symbolically
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Saxon students. Those students who have used the Saxon mathematics program are best ... 2000_HS_Catalog.pdf Author: Rick Yoesting Created Date: 8/22/2000 5:03:03 PM
ALEKS offers detailed PDF correlations with these standards. In addition, dynamic online reporting is available for all courses in all 50 states in grades 3-8 and in ...
2 Instructions: Click the Begin Quiz button before you begin your selections. For each question, click the checkbox containing the best answer to the ...
the students age, previous curriculum, and how quickly the student grasps math concepts. If you need more information from a qualified Saxon Math teacher about specific ...
The Numerical Skills/Prealgebra Placement Test includes items from more than a dozen content areas; however, a majority of the questions come from the following categories:
Saxon Publishers Placement Guide Saxon books are skill level books, not grade level books. It is essential that each student is placed in the text that meets the ...
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Videos on DVD for Elementary and Intermediate Algebra Concepts and Applications
Summary
This workbook provides one worksheet for each section of the text, organized by section objective. Each worksheet lists the associated objectives from the text, provides fill-in-the-blank vocabulary practice, and exercises for each objective.
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Synopses & Reviews
Publisher Comments:
Gary Rockswold teaches algebra in context, answering the question, "Why am I learning this?" By experiencing math through applications, students see how it fits into their lives, and they become motivated to succeed. Rockswold's focus on conceptual understanding helps students make connections between the concepts and as a result, students see the bigger picture of math and are prepared for future courses. This streamlined text covers linear, quadratic, nonlinear, exponential, and logarithmic functions and systems of equations and inequalities, which gets to the heart of what students need from this course. A more comprehensive college algebra text is also available.
About the Author
Dr. Gary Rockswold has taught mathematics for 35 years at all levels from seventh grade to graduate school, including junior high and high school students, talented youth, vocational, undergraduate and graduate students, and adult education classes. He is professor emeritus at Minnesota State University, Mankato and has been a principal investigator at the Minnesota Supercomputer Institute. He graduated with majors in mathematics and physics from St. Olaf College in Northfield, Minnesota, where he was elected to Phi Beta Kappa. He received his Ph.D. in applied mathematics from Iowa State University. He has an interdisciplinary background and has also taught physical science, astronomy, and computer science. His passion is to write and speak about the relevance and amazing impact that mathematics has on our society. Outside of mathematics, he enjoys boating, sailing, and spending time with his wife and two adult
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Understand Quadratic Functions
Common Core Says...
Asking a student to understand something means asking a teacher to assess whether the student has understood it. But what does mathematical understanding look like? One hallmark of mathematical understanding is the ability to justify, in a way appropriate to the student?s mathematical maturity, why a particular mathematical statement is true or where a mathematical rule comes from. There is a world of difference between a student who can summon a mnemonic device to expand a product such as (a?+?b)(x?+?y) and a student who can explain where the mnemonic comes from. The student who can explain the rule understands the mathematics, and may have a better chance to succeed at a less familiar task such as expanding (a?+?b?+?c)(x?+?y). Mathematical understanding and procedural skill are equally important, and both are assessable using mathematical tasks of sufficient richness.
Lesson Ideas
A.SSE.1.a Interpret parts of an expression, such as terms, factors, and coefficients.
A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.*
A.REI.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
F.LE.3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
F.IF.1
F.IF.2 Understand the concept of a function and use function notation. Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
F.IF.4 For.* (Emphasize quadratic, linear, and exponential functions and comparisons among them)
F.IF.5 Interpret functions that arise in applications in terms of the context. Rel.*
F.IF.7.a Graph linear and quadratic functions and show intercepts, maxima, and minima.
F.IF.8.a Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.
F.IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, give a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.
F.BF.1.a Write a function that describes a relationship between two quantities. (Emphasize linear, quadratic, and exponential functions). Determine an explicit expression, a recursive process, or steps for calculation from a context. Video explaination3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f Video explanation
F.BF.4.a Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) = 2 x3 or f(x) = (x + 1)/(x-1) for x ? 1.
Please sign up for the newsletter to receive assessments. It is my small attempt to keep them out of the hands of the kids :)
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1988854 / ISBN-13: 9781111988852
Student Solutions Manual for Wilson's College Algebra: Make It Real
Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that ...Show synopsisContains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.Hide synopsis
Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.Hide
Description:New. 1111988854 Premium Books are Brand New books direct from...New. 1111988854
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real
'Mathematical Reasoning: Writing and Proof is designed to be a text for the first course in the college mathematics curriculum...
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'Mathematical Reasoning: Writing and Proof is designed to be a text for the first course in the college mathematics curriculum that introduces students to the pro-cesses of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of the text are as follows:To help students learn how to read and understand mathematical definitions and proofs;To help students learn how to construct mathematical proofs;To help students learn how to write mathematical proofs according to ac-cepted guidelines so that their work and reasoning can be understood by others; andTo provide students with material that will be needed for their further study of mathematics.'
'This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not...
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'This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as "counting." The book consists almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you figure out a concept and state a theorem about it, while still others ask you to prove the theorem. Other problems give you a chance to use a theorem you have proved. From time to time there is a discussion that pulls together some of the things you have learned or introduces a new idea for you to work with. Many of the problems are designed to build up your intuition for how combinatorial mathematics works. There are problems that some people will solve quickly, and there are problems that will take days of thought for everyone. Probably the best way to use this book is to work on a problem until you feel you are not making progress and then go on to the next one. Think about the problem you couldn't get as you do other things. The next chance you get, discuss the problem you are stymied on with other members of the class. Often you will all feel you've hit dead ends, but when you begin comparing notes and listening carefully to each other, you will see more than one approach to the problem and be able to make some progress.In fact, after comparing notes you may realize that there is more than one way to interpret the problem. In this case your first step should be to think together about what the problem is actually asking you to do. You may have learned in school that for every problem you are given, there is a method that has already been taught to you, and you are supposed to figure out which method applies and apply it. That is not the case here. Based on some simplified examples, you will discover the method for yourself. Later on, you may recognize a pattern that suggests you should try to use this method again.'
'This is a textbook about classical elementary number theory and elliptic curves. The first part discusses elementary topics...
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'This is a textbook about classical elementary number theory and elliptic curves. The first part discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography, computation, and deep open research problems. The second part is about elliptic curves, their applications to algorithmic problems, and their connections with problems in number theory such as Fermats Last Theorem, the Congruent Number Problem, and the Conjecture of Birch and Swinnerton-Dyer. The intended audience of this book is an undergraduate with some familiarity with basic abstract algebra, e.g. rings, fields, and finite abelian groups.'
'The Mathematics Department of the University of Washington designed its precalculus to concentrate on two goals:A review of...
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'The Mathematics Department of the University of Washington designed its precalculus to concentrate on two goals:A review of the essential mathematics needed to succeed in calculusAn emphasis on problem solving, the idea being to gain both experience and confidence in working with a particular set of mathematical toolsThis text was written with those goals in mind. It does not look like the widely used precalculus texts on the market. The actual text is short and there are not a lot of routine drill exercises. Instead the book emphasizes multi-part story problems in a conscious attempt to engage students at a deeper level in order to prepare them the calculus, science, and engineering courses they will soon be taking. There are 20 problem sets, one set at the end of each chapter. The web site also has twenty years of exams (midterms and finals) and their solutions.'
'Rather than detailed explanations and worked out examples, this book uses activities intended to be done by the students in...
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'Rather than detailed explanations and worked out examples, this book uses activities intended to be done by the students in order to present the standard concepts and computational techniques of calculus. The student activities provide most of the material to be assigned as homework, but since the book does not contain the usual routine exercises, instructors wanting such exercises will need to supply their own or use a homework system such as WebWork. With this approach Active Calculusmakes it possible to teach an inquiry based learning course without severely restricting the material covered. Although this book is new, it has been class tested by the author and his colleagues both at their university and elsewhere.From the preface:Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore. Following key activities or examples, the presentation normally includes some overall perspective and a brief synopsis of general trends or properties, followed by formal statements of rules or theorems. While we often offer a plausibility argument for such results, rarely do we include formal proofs.'
Ths is a free version of the Boundless Algebra book that can be downloaded from Amazon for a Kindle.'The Boundless Algebra...
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Ths is a free version of the Boundless Algebra book that can be downloaded from Amazon for a Kindle Calculus textbook is a college-level, introductory textbook that covers the fascinating subject of Calculus. Boundless works with subject matter experts to select the best open educational resources available on the web, review the content for quality, and create introductory, college-level textbooks designed to meet the study needs of university students.This textbook covers:Building Blocks of Calculus -- Precalculus Review, Functions and Models, LimitsDerivatives and Integrals -- Derivatives, Applications of Differentiation, Integrals, Applications of IntegrationInverse Functions and Advanced Integration -- Inverse Functions: Exponential, Logarithmic, and Trigonometric Functions, Techniques of Integration, Further Applications of IntegrationDifferential Equations, Parametric Equations, and Sequences and Series -- Differential Equations, Parametric Equations and Polar Coordinates, Infinite Sequences and SeriesAdvanced Topics in Single-Variable Calculus and an Multivariable Calculus -- Vectors and the Geometry of Space, Vector Functions, Partial Derivatives, Multiple Integrals, Vector Calculus, Second-Order Linear Equations
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...
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Intermediate Algebra carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics, enhancing it all with with the modern amenities that only a free online text can deliver.
Trad
Used
Intermediate Algebra is written from the ground up in an open and modular format, allowing the instructor to modify it and leverage their individual expertise as a means to maximize the student experience and success.
A more modernized element, embedded video examples, are present, but the importance of practice with pencil and paper is consistently stressed. Therefore, this text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today.
TheDiscussion for Intermediate Algebra
Tracy Redden Redden
(Faculty)
I have used this in a classroom and for an online class. It has lots of videos embedded in the online text. PDF and hardcover are available. There are lots of exercises in each section to choose from too. It is modular, which means Instructors can change the order and even delete sections to make their own customable book that they can use the rest of their lives....you never have to change homework problems for a new edition.
Technical Remarks:
Best looking free online book that I have reviewed. Best viewed in Firefox browser or Chrome.
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Not so long ago, high school algebra served as an effective filter to
separate college-bound students from their work-bound classmates. Then
advocates for educational standards began demanding "algebra for all," a
significant challenge for a nation accustomed to the notion that only
some could learn algebra well. More recently, notably in
California--the center for start-up educational movements--this demand
escalated to "algebra in eighth grade for all" or what one skeptic
described as "algebra before acne."
Is algebra--especially early algebra--really that important for all
students? How can a subject that for many adults serves as a metaphor
for frustration suddenly be the top priority for soccer moms and
internet dads? And why do so many parents suddenly demand of their
schools and their children something they themselves neither mastered
nor loved?
One answer is that algebra is, in Robert Moses' apt phrase, "the new
civil right" (Moses, 1995). Algebra means access. It unlocks doors to
productive careers and democratizes access to big ideas. As an
alternative to dead-end courses in general and commercial mathematics,
algebra serves as an invaluable engine of equity. The notion that by
identifying relationships we can discover things that are unknown--"that
we can find out what we want to know"--is a very powerful and
liberating idea (Malcolm, 1997).
Another answer is that algebra is the language of mathematics, which
itself is the language of the information age. The language of algebra
is the Rosetta Stone of nature and the passport to advanced mathematics
(Usiskin, 1995). It is the logical structure of algebra, not the
solutions of its equations, that made algebra a central component of
classical education. And as a language, algebra is better learned
earlier and harder when learned later.
Parents' views of algebra are both more mundane and more
inconsistent. Some see algebra primarily as the mark of a rigorous
education, others see it as the key to lucrative careers. Some see
algebra as a motivator for high performance, others as a reminder of
their worst memories of school mathematics. ("Word problems" still
cause many adults to grimace.) Parents with more favorable experiences
recall algebra as an embalmed memory of their bygone school days. Many
others see algebra as a metaphor for authority--for rules and
regulations, for the discipline of following procedures and getting
correct results. For them, rigorous algebra that only future leaders
can master is essential to preserve our nation's economic and social
stability.
In the Middle Ages, algebra meant calculating by rules (algorithms).
During the Renaissance, it came to mean calculation with signs and
symbols--using x's and y's instead of numbers. (Even
today, lay persons tend to judge algebra books by the symbols they
contain: they believe that more symbols mean more algebra, more words,
less.) In subsequent centuries, algebra came to be primarily about
solving equations and determining unknowns. School algebra still
focuses on these three aspects: employing letters, following
procedures, and solving equations.
However, in the twentieth century algebra moved rapidly and
powerfully beyond its historical roots. First it became what we might
call the science of arithmetic--the abstract study of the operations of
arithmetic (addition, subtraction, multiplication, etc.). As the power
of this "abstract algebra" became evident in such diverse fields as
economics and quantum mechanics, algebra evolved into the study of
all operations, not just the four found in arithmetic. Thus did
it become truly the language of mathematics and, for that reason, the
key to access in our technological society.
No doubt about it: algebra for all is a wise educational goal. The
challenge for educators is to find means of achieving this goal that are
equally wise (Steen, 1992). Algebra for all in eighth grade is clearly
not one of them--at least not at this time, in this nation, under these
circumstances. The impediments are virtually insurmountable:
Relatively few students finish seventh grade prepared to
study algebra. At this age students' readiness for algebra--their
maturity, motivation, and preparation--is as varied as their height,
weight, and sexual maturity. Premature immersion in the abstraction of
algebra is a leading source of math anxiety among adults.
Even fewer eighth grade teachers are prepared to teach
algebra. Most eighth grade teachers, having migrated upwards from an
elementary license, are barely qualified to teach the mix of advanced
arithmetic and pre-algebra topics found in traditional eighth grade
mathematics. Practically nothing is worse for students' mathematical
growth than instruction by a teacher who is uncomfortable with algebra
and insecure about mathematics.
Few algebra courses or
textbooks offer sufficient immersion in the kind of concrete, authentic
problems that many students require as a bridge from numbers to
variables and from arithmetic to algebra. Indeed, despite revolutionary
changes in technology and in the practice of mathematics, most algebra
courses are still filled with mindless exercises in symbol manipulation
that require extraordinary motivation to master.
Most
teachers don't believe that all students can learn algebra in eighth
grade. Many studies show that teachers' beliefs about children and
about mathematics significantly influence student learning. Algebra in
eighth grade cannot succeed unless teachers believe that all their
students can learn it.
Any middle school principal who contemplates requiring algebra in
eighth grade must address these practical issues. Are all the students
ready? Are all the teachers prepared? Does the textbook serve all
students well? Do the teachers believe the program can succeed?
But behind these concerns lies a crucial policy question: What's the
rush? The goal of mathematics education is not speed but understanding.
Nothing in high school requires mastery of algebra so early. Worse,
much valuable mathematics will necessarily be neglected in a thoughtless
stampede to early algebra, notably data analysis, elementary statistics,
geometry (in two and three dimensions), discrete (computer) mathematics,
risk analysis, and financial mathematics. All these topics are more
valuable than algebra for citizenship and employment (Forman and Steen,
1997), most are also more concrete (thus easier to learn at an early
age), and all would help students build a firm foundation for later
study of algebra.
Algebra in eighth grade should pass the same tests of quality that
mathematicians and mathematics educators have consistently recommended
for calculus in high school. Such "early" courses should be offered
only by well-prepared teachers to well-prepared and highly motivated
students under circumstances that will enable every student who works
hard to master the course at the same level as those who take it a year
later. The most effective way to make "algebra for all" a reality is
for strudents to take it when they are ready--some in eighth grade, some
in ninth, and some in tenth. What matters is not when students study
algebra but that they learn it well.
References
Forman, Susan L. and Steen, Lynn Arthur. "Mathematics for Work and
Life." In Seventy-Five Years of Progress: Prospects for School
Mathematics, Iris Carl, Editor. Reston, VA: National Council of
Teachers of Mathematics, 1995, pp. 219-241.
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Find a Jeffersonville, PA AlgebraIt involves simplifying expressions, evaluating and solving equations and inequalities, and graphing linear and quadratic functions and relations. This course provides students with a framework for studying political, social, economic, and cultural issues, and for analyzing the impact these issu...
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Functions, polynomials, theory of equations, exponential and logarithmic functions, matrices, systems of linear equations, sequences & series. This class may be taken in the same semester with Math 111.
TAUGHT:
Winter, Summer, Fall
CONTENT AND TOPICS:
Basic Concepts: Properties of the real-number system, manipulations of algebraic expressions, the solution of equations and inequalities, and the solution of applied problems.
Additional Concepts - - Additional topics are treated at the discretion of each instructor depending on the time available. These topics include but are not limited to: matrix algebra, conic sections, and combinatorics.
GOALS AND OBJECTIVES:
1. Review the basic skills needed to solve linear, quadratic and absolute value equations. 2. Graph linear, quadratic and absolute value functions. 3. Solve rational and polynomial inequalities, make the connection between graphs of functions and solutions in interval notation. 4. Show proficiency with polynomials (degree, coefficients, and roots or zeros) and demonstrate confidence using synthetic division. 5. Graph rational functions. 6. Understand the rules of logarithms and use them to solve equations, to graph logarithmic functions, and to solve exponential growth or decay problems. 7. Understand matrix operations, and use matrices to solve systems of equations. 8. Develop skill with sequences and series. Emphasize the Binomial Series.
REQUIREMENTS:
Students are required to purchase their own text and a graphing calculator. Students must attend class, complete homework, take written examinations, participate in student board work, write lesson plans, and complete other assignments as determined by their instructor.
PREREQUISITES:
Two years of high school algebra or Math 101 with a grade of "B" or higher. You must also achieve a satisfactory score on the placement exam. The placement exam will cover topics from high school algebra II and will be offered during the first week of class. A practice exam is available on the web.
OTHER:
Instructors use calculators in varying degrees. Some demonstrate with them each day while others refer to them only occasionally. All instructors expect students to know how to process the math by hand as well as with the calculator.
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State-of-the-art analysis of geological structures has become increasingly quantitative but traditionally, graphical methods are used in teaching. This innovative lab book provides a unified methodology for problem-solving in structural geology using linear algebra and computation. Assuming only limited mathematical training, the book begins with classic orientation problems and progresses to more fundamental topics of stress, strain and error propagation. It introduces linear algebra methods as the foundation for understanding vectors and tensors, and demonstrates the application of geometry and kinematics in geoscience without requiring students to take a supplementary mathematics course. All algorithms are illustrated with a suite of online MATLAB functions, allowing users to modify the code to solve their own structural problems. Containing 20 worked examples and over 60 exercises, this is the ideal lab book for advanced undergraduates or beginning graduate students. It will also provide professional structural geologists with a valuable reference and refresher for calculations. less
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Math for Elementary Teachers II
Welcome to Mth126: "Continued study of the mathematical
concepts and techniques that are fundamental to, and form the
basis for, elementary school mathematics. Topics include:
use of probability and statistics to explore real-world
problems; representation and analysis of discrete mathematical
problems using counting techniques, sequences, graph theory,
arrays and networks; use of functions, algebra and the basic
concepts underlying the calculus in real-world-applications."
News and Updates
See the Homework and Handouts table
below to download or print the syllabus, calendar, and all
homework sets and class notes.
Review day - Note: you can download the review sheet and the
answer key above.
The exam will cover all sections in Ch. 11 and Ch. 12 that we
have covered, possibly including topics that do not
appear in the review sheet that I provided.
Class today is online only via video podcast.
Grab a set of headphones and review the following three podcasts
(handouts are available for download in next column).
1. Wrapping up quadratic functions (podcast1
[20 min.])
2. An application that should help w/ your homework (podcast2
[4 min.])
3. Lesson on exponential and logarithmic functions (podcast3
[25 min.])
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Linear Algebra is both rich in theory and full of interesting applications; ...
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Linear Algebra is both rich in theory and full of interesting applications; in this course the student will try to balance both. This course includes a review of topics learned in Linear Algebra I. Upon successful completion of this course, the student will be able to: Solve systems of linear equations; Define the abstract notions of vector space and inner product space; State examples of vector spaces; Diagonalize a matrix; Formulate what a system of linear equations is in terms of matrices; Give an example of a space that has the Archimedian property; Use the Euclidean algorithm to find the greatest common divisor; Understand polar form and geometric interpretation of the complex numbers; Explain what the fundamental theorem of algebra states; Determine when two matrices are row equivalent; State the Fredholm alternative; Identify matrices that are in row reduced echelon form; Find a LU factorization for a given matrix; Find a PLU factorization for a given matrix; Find a QR factorization for a given matrix; Use the simplex algorithm; Compute eigenvalues and eigenvectors; State Shur's Theorem; Define normal matrices; Explain the composition and the inversion of permutations; Define and compute the determinant; Explain when eigenvalues exist for a given operator; Normal form of a nilpotent operator; Understand the idea of Jordan blocks, Jordan matrices, and the Jordan form of a matrix; Define quadratic forms; State the second derivative test; Define eigenvectors and eigenvalues; Define a vector space and state its properties; State the notions of linear span, linear independence, and the basis of a vector space; Understand the ideas of linear independence, spanning set, basis, and dimension; Define a linear transformation; State the properties of linear transformations; Define the characteristic polynomial of a matrix; Define a Markov matrix; State what it means to have the property of being a stochastic matrix; Define a normed vector space; Apply the Cauchy Schwarz inequality; State the Riesz representation theorem; State what it means for a nxn matrix to be diagonalizable; Define Hermitian operators; Define a Hilbert space; Prove the Cayley Hamilton theorem; Define the adjoint of an operator; Define normal operators; State the spectral theorem; Understand how to find the singular-value decomposition of an operator; Define the notion of length for abstract vectors in abstract vector spaces; Define orthogonal vectors; Define orthogonal and orthonormal subsets of R^n; Use the Gram-Schmidt process; Find the eigenvalues and the eigenvectors of a given matrix numerically; Provide an explicit description of the Power Method. (Mathematics 212)
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This is a basic subject on matrix theory and linear algebra. Emphasis ...
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These notes, tutorials, and solutions cover the basic tools and applications in ...
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These notes, tutorials, and solutions cover the basic tools and applications in order to prepare the student for the study of Macroeconomics, Microeconomics and Econometrics at an intermediate and advanced level.
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This module examines the Laplace Transform, an analytical tool that produces exact solutions for small, closed-form, tractable systems. We use the Laplace transform to move toward a solution for the nerve fiber potentials modeled by the dynamic Strang Quartet in the earlier module of the same name.
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b]The Fractions, Decimals, & Percents Guide[/b] provides an in-depth look at the variety of GMAT questions that test your knowledge of fractions, decimals, and percents. Learn to see the connections among these part-whole relationships and practice implementing strategic shortcuts.Each chapter builds comprehensive content understanding by providing rules, strategies and in-depth examples of how the GMAT tests a given topic and how you can respond accurately and quickly. The Guide contains a total of 82 'In-Action' problems of increasing difficulty with detailed answer explanations. [b]The content of the book is aligned to the latest Official Guides from GMAC (12th edition).[/b][b]Special Features:[/b]Purchase of this book includes one year of access to ManhattanGMAT's online Fractions, Decimals, and Percents Question Bank (accessible by inputting a unique code in the back of each book).
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Main menu
High School Math
David Chandler
Welcome to the SchoolhouseTeachers.com High School Math Lessons
Introduction to Graphing Using GeoGebra
Graphing is extremely important in mathematics. Many find it more interesting than working with equations directly because it is so visual. It is where algebra and geometry come together. Lines and curves, which are geometric objects, correspond to equations, which are algebraic objects.
Learning graphing from a textbook is a little awkward because images in textbooks are static. A tool like GeoGebra makes graphing come alive. Once you get a feel for the equations of lines and curves with a dynamic tool like this, the concepts taught in textbooks should make more sense.
The first requirement for this month is to download and install GeoGebra— The first of the series of videos (there are six this month) walks you through this process.
The problem set is correlated with the videos, so watch each one and do the exercises before going on to the next video.
David Chandler is author of the Home Study Companion series. David loves to teach mathematics! He has a BS from Harvey Mudd College (independent major combining physics and engineering), an MA in Education from Claremont Graduate University, and an MS in Mathematics from Cal Poly University.
David has taught physics, mathematics, astronomy, and computer programming in public, private, international, and charter schools and community colleges since the early 1970s. He currently teaches at Eleanor Roosevelt Community Learning Center, a K-12 charter school that works with homeschooling families. Working with homeschoolers has led David to see the need for supplementary materials like his Math Without Borders program.
One of his more interesting projects at his school is designing a mixed grade level course called Math Explorations (for 2nd grade through Junior High). Math Explorations involves "precursor activities" that don't necessarily look like mathematics. His students do puzzles, mazes, perspective drawing, distorted photographs, and a lot of other fun and fascinating stuff. It's not about math skills, per se. It's about how the brain is wired! David says: "This is the kind of thing I can do at a charter school working with homeschoolers that I couldn't possibly get away with in a standard public school."
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WMI is an open web-based eLearning system in mathematics for grammar school and/or university students, including basic mathematical functions (equation solving, function plotting, symbolic differentation and antiderivation) and thematic modules.
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Editorial Reviews
Using the simple conceptual framework of the Kolmogorov model, this intermediate-level textbook discusses random variables and probability distributions, sums and integrals, mathematical expectation, sequence and sums of random variables, and random processes. For advanced undergraduate students of science, engineering, or mathematics acquainted with basic calculus. Includes problems with answers and six appendixes. 1965 edition.
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: A Text/Workbook
For the modern student like you--Pat McKeague's BEGINNING ALGEBRA, 9E--offers concise writing, continuous review, and contemporary applications to ...Show synopsisFor the modern student like you--Pat McKeague's BEGINNING practice your skills and demonstrate your knowledge.Hide synopsisGood. Used-Good Instructor's edition. Same as the student...Good. Used-Good Instructor's edition. Same as the student edition, but also includes answers. 9
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Description:
The math skills needed for a successful foodservice career--now in a new edition Culinary Calculations, Second Edition provides the mathematical knowledge and skills that are essential for a successful career in today's competitive foodservice industry. This user-friendly guide starts with basic principles before introducing more specialized topics like recipe conversion and costing, AP/EP, menu pricing, and inventory costs. Written in a nontechnical, easy-to-understand style, the book features a running case study that applies math concepts to a real-world example: opening a restaurant. This revised and updated Second Edition of Culinary Calculations covers relevant math skills for four key areas: Basic math for the culinary arts and foodservice industry Math for the professional kitchen Math for the business side of the foodservice industry Computer applications for the foodservice industry Each chapter is rich with resources, including learning objectives, helpful callout boxes for particular concepts, example menus and price lists, and information tables. Review questions, homework problems, and the case study end each chapter. Also included is an answer key for the even-numbered problems throughout the book. Culinary Calculations, Second Edition provides readers with a better understanding of the culinary math skills needed to expand their foodservice knowledge and sharpen their business savvy as they strive for success in their careers in the foodservice
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Summary
Clear explanations, an uncluttered and appealing layout, and examples and exercises featuring a variety of real-life applications have made this text popular among students year after year. This latest edition of Swokowski and Cole's PRECALCULUS: FUNCTIONS AND GRAPHS retains these features. The problems have been consistently praised for being at just the right level for precalculus students like you. The book also provides calculator examples, including specific keystrokes that show you how to use various graphing calculators to solve problems more quickly. Perhaps most important-this book effectively prepares you for further courses in mathematics.
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Hello, I may sound really stupid to all the math gurus here, but it's been a long time since I am studying texas instrument ti-84 cube root, but I never found it appealing. In fact I always commit errors. I practise quite often, but still my marks do not seem to be improving.
It always feels nice when I hear that students are willing to put that extra punch into their education. texas instrument ti-84 cube root is not a very complex subject and you can easily do some initial work yourself. As a helping tool, I would suggest that you get a copy of Algebrator. This software is quite beneficial when doing math yourself.
Algebrator is one useful tool. I don't have much interest in math and have found it to be complicated all my life. Yet one cannot always leave math because it sometimes becomes a compulsory part of one's course work. My younger brother is a math wiz and I found this software in his palmtop. It was only then I understood why he finds this subject to be so easy.
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Teaching High School Mathematics; First Course; Logical Basis for Equation Transformation Principles Part III
Description:
Mathematician Max Beberman leads students through the discovery and proof of the Zero-Product Theorem, the Concept of Contrapositive Negation of a Conjunction Double Negation. Students indicate what information is needed about Y and V with the constriction Y x V ≠ 0 in order to guarantee that the product of Y and V is not 0. Black and white picture with sound. Eastman Kodak edge code reads "square circle," which correlates to 1965.
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Students find patterns in a sequence. In this sequences and series instructional activity, students use their calculator to find the sequence of partial sums. They graph functions and explore convergent series. Students approximate alternating series.
In this infinite series activity, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or diverging
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0201895 Solutions Manual: Intermediate Algebra
Intermediate Algebra, 6e is part of the latest offerings in the successful Dugopolski series in mathematics. The author s goal is to explain mathematical concepts to students in a language they can understand. In this book, students and faculty will find short, precise explanations of terms and concepts written in understandable language. The author uses concrete analogies to relate math to everyday experiences. For example, when the author introduces the Commutative Property of Addition, he uses a concrete analogy that the price of a hamburger plus a Coke is the same as a Coke plus a hamburger . Given the importance of examples within a math book, the author has paid close attention to the most important details for solving the given topic. Dugopolski includes a double cross-referencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other. Finally, the author finds it important to not only provide quality, but also a good quantity of exercises and applications. The Dugopolski series is known for providing students and faculty with the most quantity and quality of exercises as compared to any other developmental math series on the market. In completing this revision, Dugopolski feels he has developed the clearest and most concise developmental math series on the market, and he has done so without comprising the essential information every student needs to become successful in future mathematics courses. The book is accompanied by numerous useful supplements, including McGraw-Hill s online homework management system, MathZone
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9780030620645
ISBN:
0030620643
Edition: 5 Publisher: Saunders College Publishing
Summary: This classic best-seller by a well-known author introduces mathematics history to math and math education majors. Suggested essay topics and problem studies challenge students. CULTURAL CONNECTIONS sections explain the time and culture in which mathematics developed and evolved. Portraits of mathematicians and material on women in mathematics are of special interest.
Eves, Howard W. is the author of Introduc...tion to the History of Mathematics - Howard Whitley Eves - Hardcover - 5th ed, published under ISBN 9780030620645 and 0030620643. Twenty one Introduction to the History of Mathematics - Howard Whitley Eves - Hardcover - 5th ed textbooks are available for sale on ValoreBooks.com, fifteen used from the cheapest price of $3.56, or buy new starting at $110.13.[read more]
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Ships From:Multiple LocationsShipping:Standard, ExpeditedComments:Ex-library book with library labels, stamps & marks. No DJ. Highlighting in book - does not o... [more]Ex-library book with library labels, stamps & marks. No DJ. Highlighting in book - does not obscure text. [less]
ISBN-13:9780030620645
ISBN:0030620643
Edition:5th
Publisher:Saunders College Publishing
ValoreBooks.com has some of the lowest prices for cheap Introduction to the History of Mathematics - Howard Whitley Eves - Hardcover - 5th ed rentals, or used and new condition books that can be mailed to you in no time.
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Grade 11 Math Nelson Functions And Applications
Grade 11 U/C Functions and Applications (MCF3M) - OAME. interweave and revisit the big idea of the course –properties and representations of functions as well as applications of algebra, trigonometry and geometry.
"FIFO Architecture,Functions,and Applications". 2. IMPORTANT NOTICE. Texas Instruments and its subsidiaries (TI) reserve the right to make changes to their products or to discontinue any product or service
Math 117 Functions and Modeling Agnes Scott College. MWF 8:45-9:50 Science Center 112W (4 credit hours). Instructor: clear for any assignment, quiz, or test – if you ever have a question, just ask. Learning assistants are on hand several hours each week in Buttrick G-12 – a schedule will be
2009 TEXAS TAKS TEST Grade 11 – Math Needed Correct to Pass. This file contains the Texas Assessment of Knowledge and Skills Reproduction of all or portions of this work is prohibited without express. 7 Scientists developed the linear model below to show the relationship The prices of the books. description of the objectives measured, please refer to the Revised TAKS
Math 323 Functions and Inverse Functions - Homepage | Arizona. Math 323 Functions and Inverse Functions Asterisks denote definitions which are not in the textbook. 1. We review the definitions leading up to the textbook's
Attacks on Hash Functions and Applications, Marc Stevens - CWI. The research in this thesis has been carried out at the Centrum Wiskunde. One of the first known examples of confidentially sending a message goes. To analyze the security of cryptographic systems it is important to precisely define
3rd Grade EDM Support for Functions and Relationships. 3rd Grade EDM Support for Functions and Relationships • Have children act out a function machine. See the Readiness activity in Lesson 2.3. (Unit 2)
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Academ-e
Pre-Calculus
Designed as a transitional course between high school algebra and college mathematics, particularly calculus. Topics include a detailed study of polynomial, rational, exponential, logarithmic and trigonometric functions, stressing ideas needed by those who will take calculus.
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This textbook surveys the basic geometry of two- and three-dimensional spaces —- stretching students minds as they learn to visualize new possibilities for the shape of our universe. Contains illustrated examples and engaging exercises intended to teach mind-expanding ideas in an intuitive and informal way. See also Weeks' companion site, which includes a video and lessons and exercises.
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Mathematics curriculum may be studies in math chosen for one or more students, or it can be defined as the types of math subjects that have been studied by a single student. Choosing the best mathematics curriculum depends on this definition and also on how these choices are perceived by others. For instance, teachers have to design programs that will meet certain requirements or standards providing a specific amount of education in defined areas. In contrast, students have to make sure to take the classes that fulfill their math requirements or earn them different types of degrees. Given these difference there is no single best way to choose, except to adhere to standards set by a variety of agencies like high schools or universities.
The question of designing mathematics curriculum comes up a lot for home-based teachers educating their children. Homeschool teachers should look to state standards for guidance in determining what areas to teach, and they may also want to investigate the types of requirements necessary for people entering college. For universities, students may be expected to be ready to take Calculus, and this usually means having mastery in years one and two of algebra, and geometry and trigonometry.
Homeschool teachers can find a variety of materials to teach these subjects from sources like books and workbooks. They'll be most effective communicating this material if they have a strong grasp of it. When this isn't the case, home teachers might want to consider enrolling students in community college classes where curriculum for each subject is likely to be more well-rounded and where expert advice of teachers can better support students.
In many public and private K-12 schools, determining the best courses to teach and best material is usually made at departmental or higher levels. Teachers may not always get significant choice in things like books or other material to use, and since schools do tend to want to meet regional standards, teachers usually won't get to choose curriculum for optional studies.
Teachers usually are able to augment prescribed curriculum with additional materials. They might find these in other books, study guides, on the Internet, through computer programs, or they write materials. College professors are often able to freely select which books and materials they want students to use, but these books must still meet certain standards so students gain specific knowledge.
For students, there may not be much choice of mathematics curriculum until college. Then, if students are math majors, they'll need to determine which subject areas are of most importance. A degree program may mandate some subjects, but students also have a certain number of electives.
Again, the concept of best mathematics curriculum really doesn't exist. Instead, choice is individual. Students will gravitate toward those subjects of greatest interest, and they might explore diverse mathematical studies or begin to refine studies into certain branches of mathematics that could be studied more in depth at the master's or doctoral level
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Synopses & Reviews
Publisher Comments:
Lebesgue integration is a technique of great power and elegance which can be applied in situations where other methods of integration fail. It is now one of the standard tools of modern mathematics, and forms part of many undergraduate courses in pure mathematics. Dr Weir's book is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses. The more abstract concept of Lebesgue measure, which generalises the primitive notions of length, area and volume, is deduced later. The explanations are simple and detailed with particular stress on motivation. Over 250 exercises accompany the text and are grouped at the ends of the sections to which they relate; notes on the solutions are given.
Synopsis:
This text is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses.
Synopsis:
A textbook for the undergraduate who is meeting the Lebesgue integral for the first time, relating it to the calculus and exploring its properties before deducing the consequent notions of measurable functions and measure.
"Synopsis"
by Gardners,
This text is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses.
"Synopsis"
by Cambridge University Press,
A textbook for the undergraduate who is meeting the Lebesgue integral for the first time, relating it to the calculus and exploring its properties before deducing the consequent notions of measurable functions and measure
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15848847 Complex Analysis: Classical and Modern Approaches (Modern Analysis Series)
Like real analysis, complex analysis has generated methods indispensable to mathematics and its applications. Exploring the interactions between these two branches, this book uses the results of real analysis to lay the foundations of complex analysis and presents a unified structure of mathematical analysis as a whole.
To set the groundwork and mitigate the difficulties newcomers often experience, An Introduction to Complex Analysis begins with a complete review of concepts and methods from real analysis, such as metric spaces and the Green-Gauss Integral Formula. The approach leads to brief, clear proofs of basic statements - a distinct advantage for those mainly interested in applications. Alternate approaches, such as Fichera's proof of the Goursat Theorem and Estermann's proof of the Cauchy's Integral Theorem, are also presented for comparison.
Discussions include holomorphic functions, the Weierstrass Convergence Theorem, analytic continuation, isolated singularities, homotopy, Residue theory, conformal mappings, special functions and boundary value problems. More than 200 examples and 150 exercises illustrate the subject matter and make this book an ideal text for university courses on complex analysis, while the comprehensive compilation of theories and succinct proofs make this an excellent volume for
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Elementary new edition of this proven series adds cutting edge print and media resources. An emphasis on the practical applications of algebra motivates learners and encourages them to see algebra as an important part of their daily lives. The reader-friendly writing style uses short, clear sentences and easy-to-understand language, and the outstanding pedagogical program makes the material easy to follow and comprehend. KEY TOPICS Chapter topics cover real numbers, solving linear equations and inequalities, formulas and applications of algeb... MOREra, exponents and polynomials, factoring, rational expressions and equations, graphing linear equations, systems of linear equations, roots and radicals, and quadratic equations. For the study of Algebra.
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Anyway, thank you very much!!!
Class room education is good, but try to refer and go through the text books once on your own. This will give you a good grip on topic. maths is all about dedication and concentration
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Pre-Algebra
9780078651083
ISBN:
0078651085
Pub Date: 2005 Publisher: Glencoe/McGraw-Hill School Pub Co
Summary: "Glencoe Pre-Algebra" is focused, organized, and easy to follow. The program shows your students how to read, write, and understand the unique language of mathematics, so that they are prepared for every type of problem-solving and assessment situation.
Glencoe McGraw-Hill Staff is the author of Pre-Algebra, published 2005 under ISBN 9780078651083 and 0078651085. One thousand two hundred Pre-Algebra textbook...s are available for sale on ValoreBooks.com, nine hundred ninety eight used from the cheapest price of $7.42, or buy new starting at $55
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Problem Solving via Functions Tasks
This 3 day course will feature functions and functional relationships in the secondary mathematics curriculum. Functions are fundamental in mathematics and mathematics education. Module 2 of the Keystone Algebra I assessment places a strong emphasis on linear functions. This course will build participants' flexibility in conceptualizing functions, definitions and multiple representations of functions, and families of functions in the secondary curricula including their attributes, characteristics,… Show more and behaviors. Attention will also be given to operations with functions including inverse relationships, mathematical modeling with functions, and implications for instruction. Dates for this 3 day course are November 12, 2013, January 29, 2014, and March 3, 2014. Tuition is free. There is a $100 materials fee to be paid on day 1, November 12, 2013. Payment made by cash, check or purchase orders only. All payments are to be made out to AIU3/MSC.
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MA Publications Chronology
Two spreadsheet files list all the publications of the Mathematical Association.
For nineteenth-century publications the MA was the Association for the Improvement of Geometrical Teaching (AIGT).
The list AIGT PUBLICATIONS includes some titles only available by prior arrangement for visiting the MA Archives at MA HQ in Leicester.
The publications listed in MA PUBLICATIONS can be found in the MA Library at the University of Leicester's David Wilson Library, which also holds the majority of AIGT publications (above).
Latest Books
GCSE Revision Cards - Foundation and Higher Tiers - Mary Ledwick These packs of cards are designed to help students master the key facts they need to know for GCSE Mathematics examinations, in a practical and effective way. Diagrams and colour are used to make facts clear and memorable. The 'notes' box on the back of each card allows students to personalise the revision aid. There are two sets of cards, one for each tier of the examination:
Mathematical Activities using Spreadsheets Constructing, using and understanding spreadsheets is a vital skill for all pupils. In mathematics, it provides a powerful and engaging took to explore areas of interest without the need to perform laborious calculations. This book - designed for Upper Primary and Lower Secondary school pupils - brings these two benefits together into a practical and motivating format. It starts by setting up a situation; either drawn from the world outside the classroom or from a simple but resonant area of mathematics. Questions are then posed, that may be explored in a spreadsheet. Each spread of the book is devoted to a single topic and is set out as photocopiable sheets (which are also on the accompanying CD) for students , together with detailed notes for teachers, containing spreadsheet models and data sets.
MA Members Price £7.59 Non Members £9.99
Flowchart Investigations - Colin Foster This book is aimed at all teachers of mathematics at Key Stages 3 & 4, though it will also find some use at key stage 2.Flowcharts are visually engaging ways of describing mathematical processes and can offer a starting point for rich mathematical activity. The 2D Flowcharts in this book, (also available on the enclosed CD-Rom) provoke purposeful mathematics and are accompanied by questions and prompts inviting learners to experiment, form conjectures, test their ideas and work on justification and proof. There is ample opportunity for learners to approach the tasks in different ways, to modify the flowcharts and to pose their own questions. Teacher pages for each task give details of the relevant mathematics and some suggestions of how the tasks might be used.
MA Members Price £7.59 Non Members £9.99
50 Per Cent Proof This timeless, classic book of mathematical humour has been missed since it went out of print some years ago. Every page is a delight and illustrates the use and miss-use of mathematics and numeracy in everyday life. Such humour has an important role in schools and education - it underlines the basic ideas in an engaging and memorable way.
MA Members £7.99 Non Members £9.99
Whoever thought of that? Short biographies of some contributors to the history of mathematics. This book contains selected articles on the History of Mathematics that first appeared in SYMmetryplus from 1999 to 2008, which have been updated where new information has come to light since the original publication date. The articles range from short biographies of some famous (and some not so famous) mathematicians to snippets of work researched by them or inspired by their work. It is hoped that the articles contained within this book will enlighten students on the background to their studies as well as give them an insight into the people who brought the Mathematics curriculum to life. Jenny Ramsden
MA Members price £11.99 Non Members £14.59
It's A Kind Of Magic This book contains many numerical tricks, suitable for classroom enrichment or general mathematical entertainment, together with full mathematical explanations as to why the tricks actually work. There is also a section dealing with mathematical card tricks that require no special card-handling skills to perform but still have the potential to create a wow-factor amongst any observers. I hope you enjoy using these tricks as much as I have enjoyed compiling them. David Crawford
MA Members price £19.99 Non Members £23.99
More Creative Use Of Odd Moments Odd moments are the occasions when half the class arrives late for some reason or when the main business of the lesson is completed before the bell or whenever you as teacher contrive to find a short period of time to discuss an interesting problem...
Challenge Your Pupils This book contains over 200 multiple choice problems which aim to interest and motivate pupils. They cover a full range of mathematics topics and are provided with answers, notes and follow-up ideas...
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The Barnett, Ziegler, Byleen, and Sobecki's "College Algebra" series is designed to be user friendly and to maximize student comprehension by ...Show synopsisThe Barnett, Ziegler, Byleen, and Sobecki's "College Algebra" series is designed to be user friendly and to maximize student comprehension by emphasizing computational skills, ideas, and problem solving as opposed to mathematical theory. Suitable for either one or two semester college algebra with trigonometry or precalculus courses, "Precalculus" introduces a unit circle approach to trigonometry and includes a chapter on limits to provide students with a solid foundation for calculus concepts. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. There is a MathZone site featuring algorithmic exercises, videos, and other resources that accompanies the text.Hide synopsis
Description:Good. 0072867396 Your purchase benefits those with...Good. 0072867396 Your purchase benefits those with developmental disabilities to live a better quality of life. Your purchase benefits those with developmental disabilities to live a better quality of life. some wear on edge sand corners sun damage Labels/sticker on cover some staining minimal binding wear.
Description:Very Good. 0073519510 ANNOTATED INSTRUCTOR'S EDITION contains...Very Good. 0073519510
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Visual Mathematics Dictionary is a complementary and powerful reference tool for math students from elementary school to high school level. It is equally applicable to teachers who are preparing a lecture, trying to demonstrate concepts in a classroom environment, or doing a quick review for test preparation. All the major subjects are covered – algebra, geometry, trigonometry, probability and statistics, calculus, and much more. The Visual Mathematics Dictionary goes far beyond basic formal definitions to provide in-depth visual explanations through extensive collections of 3D animation, virtual reality media, and interactive experiments as well as step-by-step procedural demonstrations to show how each formula works when applicable. Because the visual environment can help students easily gain an intuitive understanding of abstract math concepts, the new Visual Mathematics Dictionary is a superb supplemental tool and the complete companion for learning mathematics. It is a must-have math homework reference.
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Math Trek
04/01/05
The NECTAR Foundation's new Math Trek suite of products ( uses curriculum-based programs that cover the foundations of math for grades 1-12. These engaging programs feature sound, graphics, animation and music clips through interactive tutorials, problem-solving activities, assessment components and student tracking. The Macintosh- and Windows-compatible learning aids include a comprehensive teacher resource document with print support materials, as well as individual, group and culminating performance tasks that incorporate many skills into a meaningful context. The NECTAR Foundation also offers specialized programs for algebra I, calculus and trigonometry
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Math Center
The Math Center is a non-credit, Community Education class which provides assistance
in mathematics as a completely free service. Current Allan Hancock College students
as well as other individuals who are 18 years or older may fill out a simple registration
form and attend as frequently as they want. Registration forms may be found in the
Math Center or at Community Education in Building S.
The goal of the Math Center (sometimes called the Math Lab) is to assist students
in the successful completion of any Allan Hancock College mathematics class by providing
additional instructional resources. The Math Center offers many resources, including
one-on-one, drop-in tutoring by our staff of instructors and student tutors. Please
see the full list of resources below:
Free, drop-in tutoring
A place to study individually or in small groups
In-house loan of current textbooks and solutions manuals
A library of supplemental books, DVDs, and video tapes for check-out
Computers for mathematical purposes
Calculators
Handouts on math topics, including content from various math courses as well as information
on overcoming math anxiety and preparing for and taking math tests
Two private study rooms
Make-up testing
Workshops
Joining the math center group
Current students may access more detailed information by entering their myHancock
portal and joining the Math Center Group. Details may include information such as
the current schedule of instructors and student tutors who work in the Math Center,
a schedule of instructors and tutors who specialize in statistics, upcoming workshops
on selected topics, etc. To join the Math Center Group:
Enter myHancock
Look at the center of the Home page in the box titled "My Groups." Click on "View
All Groups" at the bottom of the box.
STAFF
SPOTLIGHT
Melissa Estrada Nursing Student
"I recommend Allan Hancock College because it offers a lot of opportunities for working students. My educational goals are to become a registered nurse and get my bachelor's degree in nursing. My teachers make classes entertaining and interesting." Read More »
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calculus
This vector calculus text helps students gain a solid, intuitive understanding of this important subject. The book's careful contemporary balance ...Show synopsisThis vector calculus text helps students gain a solid, intuitive understanding of this important subject. The book's careful contemporary balance between theory, application and historical development, provides readers with insights into how mathematics progresses and is in turn influenced by the natural world. The new edition offers a contemporary design, an increased number of practice exercises and content changes based on reviewer feedback, giving this classic text a modern appeal. The sixth edition was completely redesigned, but retains and improves on the balance between theory, applications, optional material and historical notes that was present in earlier editions. Content changes include: - Trimming some of the historical material, making it more relevant to the mathematics under discussion. - Moving some of the more difficult discussions in the Fifth Edition to the Book Companion Web Site (including Conservation Laws, the derivation of Euler's Equation of a Perfect Fluid, and a discussion of the Heat Equation). Revision highlights: New Design The modern redesign emphasizes the pedagogical features, making the text more concise, student-friendly, and accessible. More Exercises The new edition adds 15-20% new easy-to-moderate exercises graded from less difficult to more difficult, providing extra practice for students to master key concepts. New Examples The new examples were shaped by feedback from reviewers and teaching assistants teaching the course. Enhanced Three Dimensional Figures The quality of the artwork has been significantly improved, with crucial three-dimensional figures better reflecting key concepts to students. Definitions/Theorems/Proofs/Corollaries/Key Concepts These pedagogical features are now more clearly boxed to better highlight them for students and differentiate from the main text Vector calculus
Steer clear of this one. It is more of a history of math then it is a calculus book. The book is nearly 700 pages long and more than 50% is useless information.
The text is incomprehensible and long-winded and reads extremely slow.
The notation is confusing and idiotic.
The examples
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More than 350,000 students have prepared for teaching mathematics with A Problem Solving Approach to Mathematics for Elementary School Teachers since its first edition, and it remains the gold standard today. This text not only helps students learn the material by promoting active learning and developing skills and concepts— The Annotated Instructor's Edition offers new Integrating Mathematics and Pedagogy (IMAP) video annotations, in addition to activity manual and e-manipulative CD annotations, to make it easier to incorporate active learning into your course. MyMathLab® is available to offer auto-graded exercises, course management, and classroom resources for future teachers. To see available supplements that will enliven your course with activities, classroom videos, and professional development for future teachers, visit
Book Description:Pearson Education, 2013. Soft cover. Book Condition: New. Additional Accessories ^^^CD ROM^^^11354534561
Book Description:Pearson Education Canada, Newmarket, ON, Canada, 20125191
Book Description:Soft 271
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$183.30Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief. "Prealgebra," Sixth Edition was written to help students effectively make the transition from arithmetic to algebra. The new edition offers new resources like the Student Organizer and now includes Student Resources in the back of the book to help students on their quest for success. Whole Numbers and Introduction to Algebra; Integers and Introduction to Solving Equations; Solving Equations and Problem Solving; Fractions and Mixed Numbers; Decimals; Ratio, Proportion, and Triangle Applications; Percent; Graphing and Introduction to Statistics; Geometry and Measurement; Exponents and Polynomials For all readers interested in prealgebra.
Table of Contents
1. Whole Numbers
1.1 Tips for success in Mathematics
1.2 Place Value, Names for Numbers, and Reading Tables
1.3 Adding and Subtracting Whole Numbers, and Perimeter
1.4 Rounding and Estimating
1.5 Multiplying Whole Numbers and Area
1.6 Dividing Whole Numbers and Area
Integrated Review – Operations on Whole Numbers
1.7 Exponents and Order of Operations
1.8 Introduction to Variables, Algebraic Expressions, and Equations
2. Integers and Introduction to Solving Equations
2.1 Introduction to Integers
2.2 Adding Integers
2.3 Subtracting Integers
2.4 Multiplying and Dividing Integers
Integrated Review – Integers
2.5 Order of Operations
2.6 Solving Equations: The Addition and Multiplication Properties
3. Solving Equations and Problem Solving
3.1 Simplifying Algebraic Expressions
3.2 Solving Equations: Review of the Addition and Multiplication Properties
Integrated Review - Expressions andEquations
3.3 Solving Linear Equations in One Variable
3.4 Linear Equations in One Variable and Problem Solving
4. Fractions and Mixed Numbers
4.1 Introduction to Fractions and Mixed Numbers
4.2 Factors and Simplest Form
4.3 Multiplying and Dividing Fractions
4.4 Adding and Subtracting Like Fractions, Least Common Denominator and Equivalent Fractions
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Differential Equations
Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODEs coefficients and variation of parameters; Sinusoidal and exponential signals: oscillations, damping, resonance; Complex numbers and exponentials; Fourier series, periodic solutions; Delta functions, convolution, and Laplace transform methods; Matrix and first order linear systems: eigenvalues and eigenvectors; and Non-linear autonomous systems: critical point analysis and phase plane diagrams.
Is our political ideology simply the result of a genetic coin toss? Mounting evidence suggests that biology may be a factor. In this video, Academic Earth explores some of the key research into the biology of politics.
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Contents: 1. Differential Equations and their Formation; 2. Solution of Differential Equations of the First Order and First Degree; 3. Linear Equations with Constant Co-efficients; 4. Applications to Geometry and Mechanics; 5. Homogenouse Linear Equations; 6. Trajectories; 7. Equations of the First Order but not of the First Degree; 8. Linear Equations of Second Order; 9. Simultaneous Differential Equations; 10. Legendre's Equation; 11. Bessel's Equations
Differential equations is used in all branches of engineering and science. In essence, once a student begins to study more complex problems, nature usually obeys a differential equation which means that the equation involves one or more derivatives of the unknown variable.
DJVUA First Course in Differential Equations with Modeling Applications, 9 ...
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Systems Modeling and Computer Simulation, 2e
Written for the advanced undergraduate, this book has two unique features. The first is the overall understanding of the fundamentals of modeling and simulation as well as the understanding of software and hardware systems. The second is the scope and number of the carefully selected applications. The book contains a large number of examples, figures, problems, and references. Topics include nonlinear systems analysis and modeling, continuous-time and discrete-time linear systems, electric power systems modeling, and simulation. Several examples of the use of MATLAB for system simulation and analysis are provided.
Free Simulink Interactive Kit
See how to integrate designs from multiple domains in a single environment
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Enhanced with Graphing Utilities
Michael Sullivan' s time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing ...Show synopsisMichael Sullivan' s time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. The Enhanced with Graphing Utilities Series has evolved to meet today' s course needs by integrating the usage of graphing calculator, active-learning, and technology in new ways to help students be successful in their course, as well as in their future endeavors.Hide synopsis
Description:PLEASE READ**INSTRUCTOR'S EDITION which is the same as the...PLEASE READ**INSTRUCTOR'S EDITION which is the same as the student edition with added notes and answers. Marked not for sale with disclaimer. (6th edition). TEXT ONLY! ! ! NO SUPPLEMENTS
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Product Description
By Carol D. Desoe. Grades 6-12. These problems are historic favorites that introduce students to the concepts of graph theory. Problems can be explored on a very simple level or on a more complex level by looking into the theories underlying each classic problem. The relationship between vertices (points) and edges (line segments or arcs) are investigated to determine if a problem can be solved, and if so, what might be a possible solution. Information about topics for further investigation is given for each problem. Answer key is included. 18" x 24".
Prices listed are U.S. Domestic prices only and apply to orders shipped within the United States. Orders from outside the
United States may be charged additional distributor, customs, and shipping charges.
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0821833 comprehensive textbook on modern algebra written by an internationally renowned specialist. It covers material traditionally found in advanced undergraduate and basic graduate courses and presents it in a lucid style. The author includes almost no technically difficult proofs, and reflecting his point of view on mathematics, he tries wherever possible to replace calculations and difficult deductions with conceptual proofs and to associate geometric images to algebraic objects. The effort spent on the part of students in absorbing these ideas will pay off when they turn to solving problems outside of this textbook.
Another important feature is the presentation of most topics on several levels, allowing students to move smoothly from initial acquaintance with the subject to thorough study and a deeper understanding. Basic topics are included, such as algebraic structures, linear algebra, polynomials, and groups, as well as more advanced topics, such as affine and projective spaces, tensor algebra, Galois theory, Lie groups, and associative algebras and their representations. Some applications of linear algebra and group theory to physics are discussed.
The book is written with extreme care and contains over 200 exercises and 70 figures. It is ideal as a textbook and also suitable for independent study for advanced undergraduates and
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I'm currently an undergraduate math student and researching on the internet I discover that exists an area called "biomathematics". Looks so interesting. They use the graph theory and topology to describe the cells and DNA structure. Was love at first sight, because I really love maths and biology.
I'm reading the book "Clinically Oriented Anatomy" of Keith L. Moore and "Essential Cells Biology" of Bruce Alberts, but I don't know if I'm doing right. If anyone know how to start to learn this science I would really appreciate it.
2 Answers
MathsBio is quite a large field. It is an interdisciplinary branch having utility in a lot of branches in biology like biophysics, biomedical, genetics and molecular biology. Applied Mathematics is generally used in modelling and understanding biological phenomena where we have to deal with large amount of data, for example the use of graph theory for analysing biochemical networks. Systems biology is an emerging field which uses a lot of mathematics.
You should pick a book depending on the field in which you want to use mathematics, though having knowledge of elementary biology is necessary. I am suggesting some books which cover wide application of mathematics in biology.
Mathematical Biology: I. An Introduction by JD Murray
For systems biology:
Mathematical Modelling in Systems Biology: An Introduction by Brian Ingalls
I have taken Brian Ingalls class. It is largely mass action kinetics with some dynamical systems considerations as far as the mathematics goes.
In other words, it's largely systems of differential equations.
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Keegan KeplingerJul 12 at 23:39
I took the General Chemistry class, because I want to have Biochemistry (have pre-requisites, Organic Chemistry I and II).
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Sebastián MolinaJul 13 at 4:42
I second the suggestion of Murray's Mathematical biology - great introduction with large coverage.
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fileunderwaterJul 13 at 18:59
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