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List price: $299.95 Edition: 6th Copyright year: 2012 Publisher: Brooks/Cole Publication date: 1/1/2011 Binding: Hardcover Pages: 1008 Size: 8.50" wide x 10.75" long x 1.50" tall Weight: 5.280 Language: English

AuthorTable of Contents

James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart is currently Professor of Mathematics at McMaster University, and his research field is harmonic analysis. Stewart is the author of a best-selling calculus textbook series published by Cengage Learning, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.

Fundamentals

Chapter Overview

Real Numbers

Exponents and Radicals

Algebraic Expressions

Fractional Expressions

Equations

Modeling with Equations

Inequalities

Coordinate Geometry

Solving Equations and Inequalities Graphically

Lines

Modeling Variation

Functions

Chapter Overview

What Is a Function?

Graphs of Functions

Getting Information from the Graph of a Function

Average Rate of Change of a Function

Transformations of Functions

Combining Functions

One-to-One Functions and Their Inverses

Review

TeSt. Focus on Modeling: Functions as Models

Polynomial And Rational Functions

Chapter Overview

Quadratic Functions and Models

Polynomial Functions and Their Graphs

Dividing Polynomials

Real Zeros of Polynomials

Complex Numbers

Complex Zeros and the Fundamental Theorem of Algebra

Rational Functions

Review

TeSt. Focus on Modeling: Fitting Polynomial Curves to Data

Exponential And Logarithmic Functions

Chapter Overview

Exponential Functions

The Natural Exponential Function

Logarithmic Functions

Laws of Logarithms

Exponential and Logarithmic Equations

Modeling with Exponential and Logarithmic Functions

Review

TeSt. Focus on Modeling: Fitting Exponential and Power Curves to Data

Cumulative Review Test: Chapters 2, 3, and 4

Trigonometric Functions: Unit Circle Approach

Chapter Overview

The Unit Circle

Trigonometric Functions of Real Numbers

Trigonometric Graphs

More Trigonometric Graphs

Inverse Trigonometric Functions and Their Graphs

Modeling Harmonic Motion

Review

TeSt. Focus on Modeling: Fitting Sinusoidal Curves to Data

Trigonometric Functions: Right Triangle Approach

Chapter Overview

Angle Measure

Trigonometry of Right Triangles

Trigonometric Functions of Angles

Inverse Trigonometric Functions and Triangles

The Law of Sines

The Law of Cosines

Review

TeSt. Focus on Modeling: Surveying

Analytic Trigonometry

Chapter Overview

Trigonometric Identities

Addition and Subtraction Formulas

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

Basic Trigonometric Equations

More Trigonometric Equations

Review

TeSt. Focus on Modeling: Traveling and Standing Waves

Cumulative Review Test: Chapters 5, 6, and 7

Polar Coordinates And Parametric Equations

Chapter Overview

Polar Coordinates

Graphs of Polar Equations

Polar Form of Complex Numbers

DeMoivre's Theorem

Plane Curves and Parametric Equations

Review

TeSt. Focus on Modeling: The Path of a Projectile

Vectors In Two And Three Dimensions

Chapter Overview

Vectors in Two Dimensions

The Dot Product

Three -Dimensional Coordinate Geometry

Vectors in Three Dimensions

The Cross Product

Equations of Lines and Planes

Review

TeSt. Focus on Modeling: Vector Fields

Cumulative Review Test: Chapters 8 and 9

Systems Of Equations And Inequalities

Chapter Overview

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

Partial Fractions

Systems of Non-Linear Equations

Systems of Inequalities

Review

TeSt. Focus on Modeling: Linear Programming

Analytic Geometry

Overview

Parabolas

Ellipses

Hyperbolas

Shifted Conics

Rotation of Axes

Polar Equations of Conics

Review

TeSt. Focus on Modeling: Conics in Architecture

Cumulative Review Test: Chapters 10 and 11

Sequences And Series

Chapter Overview

Sequences and Summation Notation

Arithmetic Sequences

Geometric Sequences

Mathematics of Finance

Mathematical Induction

The Binomial Theorem

Review

TeSt. Focus on Modeling: Difference Equations

Limits: A Preview Of Calculu.S

Chapter Overview

Finding Limits Numerically and Graphically

Finding Limits Algebraically

Tangent Lines and Derivatives

Limits at Infinity: Limits of Sequences

Areas

Review

TeSt. Appendix: Calculators and Calculations

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