Precalculus, the MyMathLab Edition / Edition 8

Precalculus, the MyMathLab Edition / Edition 8

by Michael Sullivan
     
 

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ISBN-10: 0136127886

ISBN-13: 9780136127888

Pub. Date: 03/29/2007

Publisher: Pearson

Did you decide NOT to purchase the accompanying textbook at the beginning of the semester? Are you now wishing that you had a textbook? We have designed a product just for your situation–more economical, more portable (thinner and paperback), and more relevant (spiral binding for use next to your computer) for you. The MyMathLab

Overview

Did you decide NOT to purchase the accompanying textbook at the beginning of the semester? Are you now wishing that you had a textbook? We have designed a product just for your situation–more economical, more portable (thinner and paperback), and more relevant (spiral binding for use next to your computer) for you. The MyMathLab Edition of your textbook is designed for review, reference, and study and does not contain any exercise sets. Exercise sets can be found in the ebook inside your MML course.

Product Details

ISBN-13:
9780136127888
Publisher:
Pearson
Publication date:
03/29/2007
Edition description:
MyMathLab Edition
Pages:
744
Product dimensions:
10.90(w) x 8.20(h) x 1.20(d)

Table of Contents

TABLE OF CONTENTS

Chapter 1 Graphs

1.1 The Distance and Midpoint Formulas

1.2 Graphs of Equations; Intercepts; Symmetry

1.3 Lines

1.4 Circles

Chapter 2 Functions and Their Graphs

2.1 Functions

2.2 The Graph of a Function

2.3 Properties of Functions

2.4 Library of Functions; Piecewise-defined Functions

2.5 Graphing Techniques: Transformations

2.6 Mathematical Models: Building Functions

Chapter 3 Linear and Quadratic Functions

3.1 Linear Functions and Their Properties

3.2 Building Linear Functions from Data

3.3 Quadratic Functions and Their Properties

3.4 Quadratic Models; Building Quadratic Functions From Data

3.5 Inequalities Involving Quadratic Functions

Chapter 4 Polynomial and Rational Functions

4.1 Polynomial Functions and Models

4.2 Properties of Rational Functions

4.3 The Graph of a Rational Function

4.4 Polynomial and Rational Inequalities

4.5 The Real Zeros of a Polynomial Function

4.6 Complex Zeros: Fundamental Theorem of Algebra

Chapter 5 Exponential and Logarithmic Functions

5.1 Composite Functions

5.2 One-to-One Functions; Inverse Functions

5.3 Exponential Functions

5.4 Logarithmic Functions

5.5 Properties of Logarithms

5.6 Logarithmic and Exponential Equations

5.7 Compound Interest

5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models

5 .9 Building Exponential, Logarithmic, and Logistic Functions from Data

Chapter 6 Trigonometric Functions

6.1 Angles and Their Measure

6.2 Trigonometric Functions: Unit Circle Approach

6.3 Properties of the Trigonometric Functions

6.4 Graphs of the Sine and Cosine Functions

6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

6.6 Phase Shift; Building Sinusoidal Functions from Data

Chapter 7 Analytic Trigonometry

7.1 The Inverse Sine, Cosine, and Tangent Functions

7.2 The Inverse Trigonometric Functions (continued)

7.3 Trigonometric Identities

7.4 Sum and Difference Formulas

7.5 Double-Angle and Half-Angle Formulas

7.6 Product-to-Sum and Sum-to-Product Formulas

7.7 Trigonometric Equations (I)

7.8 Trigonometric Equations (II)

Chapter 8 Applications of Trigonometric Functions

8.1 Right Triangle Trigonometry; Applications

8.2 Law of Sines

8.3 Law of Cosines

8.4 Area of a Triangle

8.5 Simple Harmonic Motion; Damped Motion; Combining Waves

Chapter 9 Polar Coordinates; Vectors

9 .1 Polar Coordinates

9 .2 Polar Equations and Graphs

9.3 The Complex Plane; DeMoivre’s Theorem

9 .4 Vectors

9 .5 The Dot Product

9.6 Vectors in Space

9.7 The Cross Product

Chapter 10 Analytic Geometry

10.1 Conics

10.2 The Parabola

10.3 The Ellipse

10.4 The Hyperbola

10.5 Rotation of Axes; General Form of a Conic

10.6 Polar Equations of Conics

10.7 Plane Curves and Parametric Equations

Chapter 11 Systems of Equations and Inequalities

11.1 Systems of Linear Equations: Substitution and Elimination

11.2 Systems of Linear Equations: Matrices

11.3 Systems of Linear Equations: Determinants

11.4 Matrix Algebra

11.5 Partial Fraction Decomposition

11.6 Systems of Nonlinear Equations

11.7 Systems of Inequalities

11.8 Linear Programming

Chapter 12 Sequences; Induction; The Binomial Theorem

12.1 Sequences

12.2 Arithmetic Sequences

12.3 Geometric Sequences; Geometric Series

12.4 Mathematical Induction

12.5 The Binomial Theorem

Chapter 13 Counting and Probability

13.1 Sets and Counting

13.2 Permutations and Combinations

13.3 Probability

Chapter 14 A Preview of Calculus: The Limit, Derivative, and Integral of a Function

14.1 Finding Limits Using Tables and Graphs

14.2 Algebra Techniques for Finding Limits

14.3 One-sided Limits; Continuous Functions

14.4 The Tangent Problem; The Derivative

Appendix A Review

A1 Algebra Essentials

A.2 Geometry Essentials

A.3 Polynomials and Rational Expressions

A.4 Polynomial Division; Synthetic Division

A.5 Solving Equations

A.6 Complex Numbers; Quadratic Equations in the Complex Number System

A.7 Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Jobs Applications

A.8 Interval Notation; Solving Inequalities

A.9 nth Roots; Rational Exponents; Radical Equations

Appendix B Graphing Utilities

B.1 The Viewing Rectangle

B.2 Graphing Equations in Two Variables

B.3 Locating Intercepts and Checking for Symmetry

B.4 Solving Equations Using a Graphing Utility

B.5 Square Screens

B.6 Graphing Inequalities in Two Variables

B.7 Solving Systems of Linear Equations

B.8 Graphing a Polar Equation

B.9 Graphing Parametric Equations

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