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Algebra and Trigonometry -With CD

Algebra and Trigonometry -With CD - 3rd edition

Algebra and Trigonometry -With CD - 3rd edition

ISBN13: 9780132191401

ISBN10: 0132191407

Algebra and Trigonometry -With CD by Robert F. Blitzer - ISBN 9780132191401
Edition: 3RD 07
Copyright: 2007
Publisher: Prentice Hall, Inc.
Published: 2007
International: No
Algebra and Trigonometry -With CD by Robert F. Blitzer - ISBN 9780132191401

ISBN13: 9780132191401

ISBN10: 0132191407

Edition: 3RD 07


Blitzer's philosophy: present the full scope of mathematics, while always (1) engaging the student by opening their minds to learning (2) keeping the student engaged on every page (3) explaining ideas directly, simply, and clearly so they don't get "lost" when studying and reviewing.

First, he gets students engaged in the study of mathematics by highlighting truly relevant, unique, and engaging applications. He explores math the way it evolved: by describing real problems and how math explains them. In doing so, it answers the question "When will I ever use this?"

Then, Blitzer keeps students engaged by ensuring they don't get lost when studying. Examples are easy to follow because of a three-step learning system - - "See it, Hear it, Try it" embedded into each and every one. He literally "walks" the student through each example by his liberal use of annotations - - the instructor's "voice" that appears throughout.

Table of Contents

Table of Contents

Chapter P. Prerequisites: Fundamental Concepts of Algebra

P.1 Algebraic Expressions and Real Numbers
P.2 Exponents and Scientific Notation
P.3 Radicals and Rational Exponents
P.4 Polynomials
P.5 Factoring Polynomials
P.6 Rational Expressions

Chapter 1. Equations and Inequalities

1.1 Graphs and Graphing Utilities
1.2 Linear Equations and Rational Equations
1.3 Models and Applications
1.4 Complex Numbers
1.5 Quadratic Equations
1.6 Other Types of Equations
1.7 Linear Inequalities and Absolute Value Inequalities

Chapter 2. Functions and Graphs

2.1 Basics of Functions and Their Graphs
2.2 More on Functions and Their Graphs
2.3 Linear Functions and Slope
2.4 More on Slope
2.5 Transformations of Functions
2.6 Combinations of Functions; Composite Functions
2.7 Inverse Functions
2.8 Distance and Midpoint Formulas; Circles

Chapter 3. Polynomial and Rational Functions

3.1 Quadratic Functions
3.2 Polynomial Functions and Their Graphs
3.3 Dividing Polynomials: Remainder and Factor Theorems
3.4 Zeros of Polynomial Functions
3.5 Rational Functions and Their Graphs
3.6 Polynomial and Rational Inequalities
3.7 Modeling Using Variation

Chapter 4. Exponential and Logarithmic Functions

4.1 Exponential Functions
4.2 Logarithmic Functions
4.3 Properties of Logarithms
4.4 Exponential and Logarithmic Equations
4.5 Exponential Growth and Decay; Modeling Data

Chapter 5. Trigonometric Functions

5.1 Angles and Radian Measure
5.2 Right Triangle Trigonometry
5.3 Trigonometric Functions of Any Angle
5.4 Trigonometric Functions of Real Numbers; Periodic Functions
5.5 Graphs of Sine and Cosine Functions
5.6 Graphs of Other Trigonometric Functions
5.7 Inverse Trigonometric Functions
5.8 Applications of Trigonometric Functions

Chapter 6. Analytic Trigonometry

6.1 Verifying Trigonometric Identities
6.2 Sun and Difference Formulas
6.3 Double-Angle, Power-Reducing, and Half-Angle Formulas
6.4 Product-to-Sum and Sum-to-Product Formulas
6.5 Trigonometric Equations

Chapter 7 Additional Topics in Trigonometry

7.1The Law of Sines
7.2 The Law of Cosines
7.3 Polar Coordinates
7.4 Graphs of Polar Equations
7.5 Complex Numbers in Polar Form; DeMoivre's Theorem
7.6 Vectors
7.7 The Dot Product

Chapter 8. Systems of Equations and Inequalities

8.1 Systems of Linear Equations in Two Variables
8.2 Systems of Linear Equations in Three Variables
8.3 Partial Fractions
8.4 Systems of Nonlinear Equations in Two Variables
8.5 Systems of Inequalities
8.6 Linear Programming

Chapter 9. Matrices and Determinants

9.1 Matrix Solutions to Linear Systems
9.2 Inconsistent and Dependent Systems and Their Applications
9.3 Matrix Operations and Their Applications
9.4. Multiplicative Inverses of Matrices and Matrix Equations
9.5 Determinants and Cramer's Rule

Chapter 10. Conic Sections and Analytic Geometry

10.1 The Ellipse
10.2 The Hyperbola
10.3 The Parabola
10.4 Rotation of Axes
10.5 Parametric Equations
10.6 Conic Sections in Polar Coordinates

Chapter 11. Sequences, Induction, and Probability

11.1 Sequences and Summation Notation
11.2 Arithmetic Sequences
11.3 Geometric Sequences and Series
11.4 Mathematical Induction
11.5 The Binomial Theorem
11.6 Counting Principles, Permutations, and Combinations
11.7 Probability