Algebra and Trigonometry with Analytic Geometry (with CD-ROM, Make the Grade, and InfoTrac)

by Swokowski, Earl W.; Cole, Jeffery A.

• ISBN13: 9780534435295
• ISBN10: 0534435297
• Additional ISBN(s): 9780534494490
• Edition: CD
• Format: Hardcover
• Copyright: 2001-11-15
• Publisher: Brooks Cole
• More Book Details
• Purchase Benefits

Table of Contents

1. FUNDAMENTAL CONCEPTS OF ALGEBRA

Real Numbers

Exponents and Radicals

Algebraic Expressions

Fractional Expressions

Chapter 1 Review Exercises

Chapter 1 Discussion Exercises

2. EQUATIONS AND INEQUALITIES

Equations

Applied Problems

Quadratic Equations

Complex Numbers

Other Types of Equations

Inequalities

More on Inequalities

Chapter 2 Review Exercises

Chapter 2 Discussion Exercises

3. FUNCTIONS AND GRAPHS

Rectangular Coordinate Systems

Graphs of Equations

Lines

Definition of Function

Graphs of Functions

Quadratic Functions

Operations on Functions

Inverse Functions

Variation

Chapter 3 Review Exercises

Chapter 3 Discussion Exercises

4. POLYNOMIAL AND RATIONAL FUNCTIONS

Polynomial Functions of Degree Greater than 2. Properties of Division

Zeros of Polynomials

Complex and Rational Zeros of Polynomials

Rational Functions

Chapter 4 Review Exercises

Chapter 4 Discussion Exercises

5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Exponential Functions

The Natural Exponential Function

Logarithmic Functions

Properties of Logarithms

Exponential and Logarithmic Equations

Chapter 5 Review Exercises

Chapter 5 Discussion Exercises

6. THE TRIGONOMETRIC FUNCTIONS

Angles

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Values of Trigonometric Functions

Trigonometric Graphs

Additional Trigonometric Graphs

Applied Problems

Chapter 6 Review Exercises

Chapter 6 Discussion Exercises

7. ANALYTIC TRIGONOMETRY

Verifying Trigonometric Identities

Trigonometric Equations

The Addition and Subtraction Formulas

Multiple-Angle Formulas

Product-to-Sum and Sum-to-Product Formulas

The Inverse Trigonometric Functions

Chapter 7 Review Exercises

Chapter 7 Discussion Exercises

8. APPLICATIONS OF TRIGONOMETRY

The Law of Sines

The Law of Cosines

Trigonometric Form for Complex Numbers

De Moivre's Theorem and nth Roots of Complex Numbers

Vectors

The Dot Product

Chapter 8 Review Exercises

Chapter 8 Discussion Exercises

9. SYSTEMS OF EQUATIONS AND INEQUALITIES

Systems of Equations

Systems of Linear Equations in Two Variables

Systems of Linear Equations in More than Two Variables

Partial Fractions

Systems of Inequalities

Linear Programming

The Algebra of Matrices

The Inverse of a Matrix

Determinants

Properties of Determinants

Chapter 9 Review Exercises

Chapter 9 Discussion Exercises

10. SEQUENCES, SERIES AND PROBABILITY

Infinite Sequences and Summation Notation

Arithmetic Sequences

Geometric Sequences

Mathematical Induction

The Binomial Theorem

Permutations

Distinguishable Permutations and Combinations

Probability

Chapter 10 Review Exercises

Chapter 10 Discussion Exercises

11. TOPICS FROM ANALYTIC GEOMETRY

Parabolas

Ellipses

Hyperbolas

Plane Curves and Parametric Equations

Polar Coordinates

Polar Equations of Conics

Chapter 11 Review Exercises

Chapter 11 Discussion Exercises

APPENDIX I: USING A TI-82/83 GRAPHING CALCULATOR

APPENDIX II: COMMON GRAPHS AND THEIR EQUATIONS

APPENDIX III: A SUMMARY OF GRAPH TRANSFORMATIONS

APPENDIX IV: GRAPHS OF THE TRIGONOMETRIC FUNCTIONS AND THEIR INVERSES

ANSWERS TO SELECTED EXERCISES

INDEX OF APPLICATIONS

INDEX