Precalculus Functions and Graphs

by Swokowski, Earl; Cole, Jeffery

• ISBN13: 9780495385042
• ISBN10: 0495385042
• Edition: 11th
• Format: Hardcover
• Copyright: 2007-03-14
• Publisher: Brooks Cole

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.

Table of Contents

Topics from Algebra

Real Numbers

Exponents and Radicals

Algebraic Expressions

Equations

Complex Numbers

Inequalities

Review Exercises

Discussion Exercises

Graphs and Functions

Rectangular Coordinate Systems

Graphs of Equations

Lines

Definition of Function

Graphs of Functions

Quadratic Functions

Operations on Functions

Review Exercises

Discussion Exercises

Polynomial and Rational Functions

Polynomial Functions of Degree Greater Than

Properties of Division

Zeros of Polynomials

Complex and Rational Zeros of Polynomials

Rational Functions

Variation

Review Exercises

Discussion Exercises

Inverse, Exponential, and Logarithmic Functions

Inverse Functions

Exponential Functions

The Natural Exponential Function

Logarithmic Functions

Properties of Logarithms

Exponential and Logarithmic Equations

Review Exercises

Discussion Exercises

Trigonometric Functions

Angles

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Values of the Trigonometric Functions

Trigonometric Graphs

Additional Trigonometric Graphs

Applied Problems

Review Exercises

Discussion Exercises

Analytic Trigonometry

Verifying Trigonometric Identities

Trigonometric Equations

The Additions and Subtraction of Formulas

Multiple-Angle Formulas

Product-To-Sum and Sum-To-Product Formulas

The Inverse Trigonometric Functions

Review Exercises

Discussion Exercises

Applications of Trigonometry

The Law of Sines

The Law of Cosines

Vectors

The Dot Product

Trigonometric Form for Complex Numbers

De Moivre's Theorem and nth Roots of Complex Numbers

Review Exercises

Discussion Exercises

Systems of Equations and Inequalities

Systems of Equations

Systems of Linear Equations in Two Variables

Systems of Inequalities

Linear Programming

Systems of Linear Equations in More Than Two Variables

The Algebra of Matrices

The Inverse of a Matrix

Determinants

Properties of Determinants

Partial Fractions

Review Exercises

Discussion Exercises

Sequences, Series, and Probability

Infinite Sequences and Summation Notation

Arithmetic Sequences

Geometric Sequences

Mathematical Induction

The Binomial Theorem

Permutations

Distinguishable Permutations and Combinations

Probability

Review Exercises

Discussion Exercises

Topics from Analytical Geometry

Parabolas

Ellipses

Hyperbolas

Plane Curves and Parametric Equations

Polar Coordinates

Polar Equations of Conics

Review Exercises

Discussion Exercises

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