College Algebra

by Barnett, Raymond; Ziegler, Michael; Byleen, Karl; Sobecki, David

• ISBN13: 9780077350161
• ISBN10: 0077350162
• Edition: 9th
• Format: Hardcover
• Copyright: 2010-01-20
• Publisher: McGraw-Hill Science Engineering

Summary

The Barnett/Ziegler/Byleen/Sobecki College Algebra series is designed to give students a solid grounding in pre-calculus topics in a user-friendly manner. The series emphasizes computational skills, ideas, and problem solving rather than theory. Explore/Discuss boxes integrated throughout each text encourage students to think critically about mathematical concepts. All worked examples are followed by Matched Problems that reinforce the concepts being taught. New to these editions, Technology Connections illustrate how concepts that were previously explained in an algebraic context may also be solved using a graphing calculator. Students are always shown the underlying algebraic methods first so that they do not become calculator-dependent. In addition, each text in the series contains an abundance of exercises - including numerous calculator-based and reasoning and writing exercises - and a wide variety of real-world applications illustrating how math is useful.

Table of Contents

Basic Algebraic Operations

Algebra and Real Numbers

Exponents

Radicals

Polynomials: Basic Operations

Review

Equations and Inequalities

Linear Equations and Applications

Linear Inequalities

Absolute Value

Complex Numbers

Quadratic Equations and Applications

Equations Involving Radicals

Group Activity: Solving a Cubic Equation

Review

Graphs

Cartesian Coordinate System

Distance in the Plane

Equations of a Line

Linear Equations and Models

Group Activity: Rates of Change

Review

Functions

Functions

Graphing Functions

Transformations of Functions

Quadratic Functions

Combining Functions; Composition

Inverse Functions

Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan

Review

Cumulative Review Exercises

Polynomial and Rational Functions

Polynomial Functions And Models

Real Zeros and Polynomial Inequalities

Complex Zeros and Rational Zeros of Polynomials

Rational Functions and Inequalities

Variation and Modeling

Group Activity: Interpolating Polynomials

Review

Exponential and Logarithmic Functions

Exponential Functions

Exponential Models

Logarithmic Functions

Logarithmic Models

Exponential and Logarithmic Equations

Group Activity: Growth of Increasing Functions

Review

Cumulative Review Exercises

Additional Topics in Analytic Geometry

Conic Sections; Parabola

Ellipse

Hyperbola

Group Activity: Focal Chords

Review

Systems of Equations and Inequalities; Matrices

Systems of Linear Equations

Solving Linear Systems Using Gauss-Jordan Elimination

Matrix Operations

Solving Linear Systems Using Inverse Matrices

Determinants and Cramer's Rule

Chapter 7 Group Activity: Modeling with Systems of Linear Equations

Systems of Nonlinear Equations

Systems of Linear Inequalities

Linear Programming

Review

Sequences and Series

Sequences and Series

Mathematical Induction

Arithmetic and Geometric Sequences

Counting Techniques: Multiplication Principle, Permutations, and Combinations

Sample Spaces and Probability

Binomial Formula

Group Activity: Sequences Specified by Recursion Formulas

Review

Cumulative Review Exercises

Special Topics

Scientific Notation and Significant Digits

Partial Fractions

Parametric Equations

Geometric Formulas

Table of Contents provided by Publisher. All Rights Reserved.