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You will have no trouble succeeding with the Study Guide for PRECALCULUS MATHEMATICS FOR CALCULUS. It is packed with detailed explanations, worked-out examples, and practice problems - with the corresponding text and study guide sections you will stay right on track!

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Book details

List price: $121.95 Edition: 5th Copyright year: 2006 Publisher: Brooks/Cole Publication date: 1/5/2006 Binding: Paperback Pages: 352 Size: 7.50" wide x 9.00" long x 0.75" tall Weight: 1.100 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

Overview

Real Numbers

Exponents and Radicals

Algebraic Expressions

Discovery Project: Visualizing a Formula

Fractional Expressions

Equations

Modeling with Equations

Discovery Project: Equations through the Ages

Inequalities

Coordinate Geometry

Graphing Calculators: Solving Equations and Inequalities Graphically

Lines

Modeling Variation

Review

Test

Focus on Problem Solving: General Principles

Functions

Overview

What is a Function? Graphs of Functions

Discovery Project: Relations and Functions

Increasing and Decreasing Functions: Average Rate of Change

Transformations of Functions

Quadratic Functions: Maxima and Minima

Modeling with Functions

Combining Functions.Discovery

Project: Iteration and Chaos

One-to-One Functions and Their Inverses Review

Test

Focus on Modeling: Fitting Lines to Data

Polynomial And Rational Functions

Overview

Polynomial Functions and Their Graphs

Dividing Polynomials

Real Zeros of Polynomials

Discovery Project: Zeroing in on a Zero

Complex Numbers

Complex Zeros and the Fundamental Theorem of Algebra

Rational Functions

Review

Test

Focus on Modeling: Fitting Polynomials to Data

Exponential And Logarithmic Functions

Overview

Exponential Functions

Discovery Project: Exponential Explosion

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

Trigonometic Functions Of Angles

Overview

The Unit Circle

Trigonometric Functions of Real Numbers

Trigonometric Graphs

Discovery Project: Predator-Prey Models

More Trigonometric Graphs

Modeling Harmonic Motion

Review

Test

Focus on Modeling: Fitting Sinusoidal Curves to Data

Trigonometric Functions Of Angles

Overview

Angle Measure

Trigonometry of Right Triangles

Discovery Project: Similarity

Trigonometric Functions of Angles

The Law of Sines

The Law of Cosines

Review

Test

Focus on Modeling:Surveying

Analytic Trigonometry

Overview

Trigonometric Identities

Addition and Subtraction Formulas

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

Inverse Trigonometric Functions

Discovery Project: Where to Sit at the Movies

Trigonometric Equations

Review

Test

Focus on Modeling: Traveling and Standing Waves

Polar Coordinates And Vectors

Overview

Polar Coordinates

Graphs of Polar Equations

Polar Form of Complex Numbers; DeMoivre''s Theorem

Discovery Project: Fractals

Vectors

The Dot Product

Discovery Project: Sailing Against the Wind

Review

Test

Focus on Modeling: Mapping the World

Systems Of Equations And Inequalities

Overview

Systems of Equations

Systems of Linear Equations in Two Variables

Systems of Linear Equations in Several Variables

Discovery Project: Best Fit versus Exact Fit

Systems of Linear Equations: Matrices

The Algebra of Matrices

Discovery Project: Will the Species Survive? Inverses of Matrices and Matrix Equations

Discovery Project: Computer Graphics I

Determinants and Cramer''s Rule

Partial Fractions

Systems of Inequalities

Review

Test

Focus on Modeling: Linear Programming

Analytic Geometry

Overview

Parabolas

Ellipses

Hyperbolas

Discovery Project: Conics in Architecture Shifted Conics

Rotation of Axes

Discovery Project: Computer Graphics II

Polar Equations of Conics

Plane Curves and Parametric Equations

Review

Test

Focus on Modeling: The Path of a Projectile

Sequences And Series

Overview

Sequences and Summation Notation

Arithmetic Sequences

Geometric Sequences

Discovery Project: Finding Patterns

Mathematical Finance

Mathematical Induction

The Binomial Theorem

Review

Test

Focus on Modeling: Modeling with Recursive Sequences

Limits: A Preview Of Calculus

Overview

Finding Limits Numerically and Graphically

Finding Limits Algebraically

Tangent Lines and Derivatives

Discovery Project: Designing a Roller Coaster

Limits at Infini

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