Precalculus Mathematics for Calculus (with CD-ROM, BCA Tutorial, vMentor, and InfoTrac)

by Stewart, James; Redlin, Lothar; Watson, Saleem

• ISBN13: 9780534434212
• ISBN10: 0534434215
• Additional ISBN(s): 9780495016779, 9780534376109
• Edition: CD
• Format: Hardcover
• Copyright: 2001-12-10
• Publisher: Brooks Cole
• More Book Details

Summary

In this best selling Precalculus text, the authors explain concepts simply and clearly, without glossing over difficult points. This comprehensive, evenly-paced book provides complete coverage of the function concept and integrates substantial graphing calculator materials that help students develop insight into mathematical ideas. This author team invests the same attention to detail and clarity as Jim Stewart does in his market-leading Calculus text.

Table of Contents

Fundamentals

Real Numbers

Exponents and Radicals

Algebraic Expressions

Fractional Expressions

Equations

Modeling with Equations

Inequalities

Coordinate Geometry

Solving Equations and Inequalities Graphically

Lines

Functions

What is a Function? Graphs of Functions

Applied Functions: Variation

Average Rate of Change: Increasing and Decreasing Functions

Transformations of Functions

Extreme Values of Functions

Modeling with Functions

Combining Functions

One-to-One Functions and Their Inverses

Polynomial and Rational Functions

Polynomial Functions and Their Graphs

Dividing Polynomials

Real Zeros of Polynomials

Complex Numbers

Complex Zeros and the Fundamental Theorem of Algebra

Rational Functions

Exponential and Logarithmic Functions

Exponential Functions

Logarithmic Functions

Laws of Logarithms

Exponential and Logarithmic Equations

Modeling with Exponential and Logarithmic Functions

Trigonometric Functions of Real Numbers

The Unit Circle

Trigonometric Functions of Real Numbers

Trigonometric Graphs

More Trigonometric Graphs

Trigonometric Functions of Angles

Angle Measure

Trigonometry of Right Triangles

Trigonometric Functions of Angles

The Law of Sines

The Law of Cosines

Analytic Trigonometry

Trigonometric Identities

Addition and Subtraction Formulas

Double-Angle, Half-Angle, and Product-Sum Formulas

Inverse Trigonometric Functions

Trigonometric Equations

Trigonometric Form of Complex Numbers; DeMoivre's Theorem

Vectors

The Dot Product

Systems of Equations and Inequalities

Systems of Equations

Systems of Linear Equations in Two Variables

Systems of Linear Equations in Several Variables

Systems of Linear Equations: Matrices

The Algebra of Matrices

Inverses of Matrices and Matrix Equations

Determinants and Cramer?s Rule

Systems of Inequalities

Partial Fractions

Topics in Analytic Geometry

Parabolas

Ellipes

Hyperbolas

Shifted Conics

Rotation of Axes

Polar Coordinates

Polar Equations of Conics

Parametric Equations

Sequences and Series

Sequences and Summation Notation

Arithmetic Sequences

Geometric Sequences

Annuities and Installment Buying

Mathematical Induction

The Binomial Theorem

Counting and Probability

Counting Principles..Permutations and Combinations

Probability

Expected Value

Limits: A Preview of Calculus

Finding Limits Numerically and Graphically

Finding Limits Algebraically

Tangent Lines and Derivatives

Limits at Infinity; Limits of Sequences

Areas

Answers to Odd-Numbered Exercises and Chapter Tests

Index

Table of Contents provided by Publisher. All Rights Reserved.