Precalculus : Graphs and Models

by BITTINGER

• ISBN13: 9780201616743
• ISBN10: 0201616742
• Edition: 2ND
• Copyright: 2002-02-05
• Publisher: Benjamin-Cummings Publishing Company

Summary

Precalculus: Graphs and Models, 2/e covers college-level algebra and trigonometry and is appropriate for a one- or two-term, graphing required, precalculus course. A course in intermediate algebra is a prerequisite for the text, although Chapter R provides sufficient review to unify the diverse backgrounds of most students. The approach of this text is more interactive than most precalculus texts and the goal of the author team is to enhance the learning process through the use of technology and to provide as much support and help for students as possible.

Table of Contents

The Real-Number System

Integer Exponents, Scientific Notation, and Order of Operations

Addition, Subtraction, and Multiplication of Polynomials

Factoring

Rational Expressions

Radical Notation and Rational Exponents

The Basics of Equation Solving

Graphs, Functions, and Models

Introduction to Graphing

Functions and Graphs

Linear Functions, Slope, and Applications

Equations of Lines and Modeling

More on Functions

The Algebra of Functions

Symmetry and Transformations

Functions, Equations, and Inequalities

Linear Equations, Functions, and Models

The Complex Numbers

Quadratic Equations, Functions, and Models

Analyzing Graphs of Quadratic Functions

More Equation Solving

Solving Linear Inequalities

Polynomial and Rational Functions

Polynomial Functions and Models

Graphing Polynomial Functions

Polynomial Division The Remainder and Factor Theorems

Theorems about Zeros of Polynomial Functions

Rational Functions

Polynomial and Rational Inequalities

Variation and Applications

Exponential and Logarithmic Functions

Inverse Functions

Exponential Functions and Graphs

Logarithmic Functions and Graphs

Properties of Logarithmic Functions

Solving Exponential and Logarithmic Equations

Applications and Models: Growth and Decay Compound Interest

The Trigonometric Functions

Trigonometric Function of Acute Angles

Applications of Right Triangles

Trigonometric Functions of Any Angle

Radians, Arc Length, and Angular Speed

Circular Functions: Graphs and Properties

Graphs of Transformed Sine and Cosine Functions

Trigonometric Identities, Inverse Functions, and Equations

Identities: Pythagorean and Sum and Difference

Identities: Cofunction, Double-Angle, and Half-Angle

Proving Trigonometric Identities

Inverses of the Trigonometric Functions

Solving Trigonometric Equations

Applications of Trigonometry

The Law of Sines

The Law of Cosines

Complex Numbers: Trigonometric Form

Polar Coordinates and Graphs

Vectors and Applications

Vector Operations

Systems of Equations and Matrices

Systems of Equations in Two Variables

Systems of Equations in Three Variables

Matrices and Systems of Equations

Matrix Operations

Inverses of Matrices

Determinants and Cramer's Rule

Systems of Inequalities and Linear Programming

Partial Fractions

Analytic Geometry Topics

The Parabola

The Circle and the Ellipse

The Hyperbola

Nonlinear Systems of Equations and Inequalities

Rotation of Axes

Polar Equations of Conics

Parametric Equations

Sequences, Series, and Combinatorics

Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

Mathematical Induction

Combinatorics: Permutations

Combinatorics: Combinations

The Binomial Theorem

Probability

Appendix

Basic Concepts of Geometry

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