Precalculus

by Lial, Margaret L.; Hornsby, John; Schneider, David I.

• ISBN13: 9780321227621
• ISBN10: 032122762X
• Edition: 3rd
• Format: Hardcover
• Copyright: 2005-01-01
• Publisher: Addison Wesley

Summary

Focusing on helping students to develop both the conceptual understanding and the analytical skills necessary to experience success in mathematics, we present each mathematical topic in this text using a carefully developed learning system to actively engage students in the learning process. We have tried to address the diverse needs of today's students through a more open design, updated figures and graphs, helpful features, careful explanations of topics, and a comprehensive package of supplements and study aids. Students will benefit from the text's student-oriented approach. We believe instructors will particularly welcome the new Annotated Instructor's Edition, which provides answers in the margin to almost all exercises, plus helpful Teaching Tips.

Table of Contents

R. Review of Basic Concepts

Real Numbers and Their Properties

Order and Absolute Value

Polynomials

Factoring Polynomials

Rational Expressions

Rational Exponents

Radical Expressions

Equations and Inequalities

Linear Equations

Applications and Modeling with Linear Equations

Complex Numbers

Quadratic Equations

Applications and Modeling with Quadratic Equations

Other Types of Equations

Inequalities

Absolute Value Equations and Inequalities

Graphs and Functions

Graphs of Equations

Functions

Linear Functions

Equations of Lines

Curve Fitting

Graphs of Basic Functions

Graphing Techniques

Function Operations and Composition

Polynomial and Rational Functions

Quadratic Functions and Models

Synthetic Division

Zeros of Polynomial Functions

Polynomial Functions: Graphs, Applications, and Models

Rational Functions: Graphs, Applications, and Models

Variation

Exponential and Logarithmic Functions

Inverse Functions

Exponential Functions

Logarithmic Functions

Evaluating Logarithms and the Change-of-Base Theorem

Exponential and Logarithmic Equations

Applications and Models of Exponential Growth and Decay

Trigonometric Functions

Angles

Trigonometric Functions

Evaluating Trigonometric Functions

Solving Right Triangles

The Circular Functions and Their Graphs

Radian Measure

The Unit Circle and Circular Functions

Graphs of the Sine and Cosine Functions

Graphs of the Other Circular Functions

Harmonic Motion

Trigonometric Identities and Equations

Fundamental Identities

Verifying Trigonometric Identities

Sum and Difference Identities

Double-Angle Identities and Half-Angle Identities

Inverse Circular Functions

Trigonometric Equations

Equations Involving Inverse Trigonometric Functions

Applications of Trigonometry

The Law of Sines

The Law of Cosines

Vectors, Operations, and the Dot Product

Applications of Vectors

Trigonometric (Polar) Form of Complex Numbers

Products and Quotients

DeMoivre's Theorem

Powers and Roots of Complex Numbers

Polar Equations and Graphs

Parametric Equations, Graphs, and Applications

Systems and Matrices

Systems of Linear Equations

Matrix Solution of Linear Systems

Determinant Solution of Linear Systems

Partial Fractions

Nonlinear Systems of Equations

Systems of Inequalities and Linear Programming

Properties of Matrices

Matrix Inverses

Analytic Geometry

Parabolas

Ellipses

Hyperbolas

Summary of the Conic Sections

Further Topics in Algebra

Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

The Binomial Theorem

Mathematical Induction

Counting Theory

Basics of Probability

Polar Form of Conic Sections

Rotation of Axes

Geometry Formulas

Glossary

Solutions to Selected Exercises

Answers to Selected Exercises

Index of Applications

Index

Table of Contents provided by Publisher. All Rights Reserved.