Precalculus : Graphs and Models Graphing Calculator Manual Package

by Bittinger, Marvin L.; Beecher, Judith A.; Ellenbogen, David J.; Penna, Judith A.

• ISBN13: 9780321292667
• ISBN10: 0321292669
• Additional ISBN(s): 9780201616743, 9780201704037, 9780321675026
• Edition: 3rd
• Format: Package
• Copyright: 2006-01-01
• Publisher: Addison Wesley
• More Book Details
• Purchase Benefits

Summary

With a visual, graphical approach that emphasizes connections among concepts, this text helps students make the most of their study time. The authors show how different mathematical ideas are tied together through their zeros, solutions, and x-intercepts theme; side-by-side algebraic and graphical solutions; calculator screens; and examples and exercises. By continually reinforcing the connections among various mathematical concepts as well as different solution methods, the authors lead students to the ultimate goal of mastery and success in class.

Table of Contents

Basic Concepts of Algebra

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

Table of Contents provided by Publisher. All Rights Reserved.