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Precalculus With Infotrac: Functions and Graphs (Book with CD-ROM),9780534435745
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Precalculus With Infotrac: Functions and Graphs (Book with CD-ROM)

by
Edition:
1st
ISBN13:

9780534435745

ISBN10:
0534435742
Format:
Hardcover
Pub. Date:
11/29/2001
Publisher(s):
Brooks Cole

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Summary

The Ninth Edition of Swokowski Cole's highly respected precalculus text retains the elements that have made it so popular with instructors and students alike; the time-tested exercise sets feature a variety of applications; its exposition is clear; its uncluttered layout is appealing; and the difficulty level of problems is appropriate and consistent. With these elements the authors succeed in preparing students for calculus. PRECALCULUS: FUNCTIONS AND GRAPHS, 9/e is mathematically sound and has excellent problem sets. In this edition, all of the chapters now include numerous technology inserts and examples with specific keystrokes for the TI-83 Plus and the TI-86, ideal for students who are working with a graphing calculator for the first time. The new design of the text makes the technology inserts easily identifiable, allowing professors to skip them if desired.

Table of Contents

1. TOPICS FROM ALGEBRA
Real Numbers
Exponents and Radicals
Algebraic Expressions
Equations
Complex Numbers
Inequalities
Rectangular Coordinate Systems
Lines
Chapter 1 Review Exercises
Chapter 1 Discussion Exercises
2. FUNCTIONS
Definition of Function
Graphs of Functions
Quadratic Functions
Operations on Functions
Inverse Functions
Chapter 2 Review Exercises
Chapter 2 Discussion Exercises
3. 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 3 Review Exercises
Chapter 3 Discussion Exercises
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Exponential Functions
The Natural Exponential Function
Logarithmic Functions
Properties of Logarithms
Exponential and Logarithmic Equations
Chapter 4 Review Exercises
Chapter 4 Discussion Exercises
5. THE TRIGONOMETRIC FUNCTIONS
Angles
Trigonometric Functions of Angles
Trigonometric Functions of Real Numbers
Values of the Trigonometric Functions
Trigonometric Graphs
Additional Trigonometric Graphs
Applied Problems
Chapter 5 Review Exercises
Chapter 5 Discussion Exercises
6. 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 6 Review Exercises
Chapter 6 Discussion Exercises
7. APPLICATIONS OF TRIGONOMETRY
The Law of Sines
The Law of Cosines
Trigonometric Form for Complex Numbers
DeMoivre's Theorem and nth Roots of Complex Numbers
Vectors
The Dot Product
Chapter 7 Review Exercises
Chapter 7 Discussion Exercises
8. 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 8 Review Exercises
Chapter 8 Discussion Exercises
9. 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 9 Review Exercises
Chapter 9 Discussion Exercises
10. TOPICS FROM ANALYTIC GEOMETRY
Parabolas
Ellipses
Hyperbolas
Plane Curves and Parametric Equations
Polar Coordinates
Polar Equations of Conics
Chapter 10 Review Exercises
Chapter 10 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


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