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College Algebra,9780072867381

College Algebra

by ;
Format: Hardcover
Pub. Date: 1/26/2007
Publisher(s): McGraw-Hill Science/Engineering/Math
Availability: This title is currently not available.

Summary

The Barnett/Ziegler/Byleen 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

Chapter R: Basic Algebraic Operations

R-1 Algebra and Real Numbers

R-2 Exponents

R-3 Radicals

R-4 Polynomials: Basic Operations

R-5 Polynomials: Factoring

R-6 Rational Expressions: Basic Operations

Chapter R Review

Chapter R Group Activity: Rational Number Representations

Chapter 1: Equations and Inequalities

1-1 Linear Equations and Applications

1-2 Linear Inequalities

1-3 Absolute Value

1-4 Complex Numbers

1-5 Quadratic Equations and Applications

1-6 Equations Involving Radicals

Chapter 1 Review

Chapter 1 Group Activity: Solving a Cubic Equation

Chapter 2: Graphs

2-1 Cartesian Coordinate system

2-2 Distance in the Plane

2-3 Equations of a line

2-4 Linear Equations and Models

Chapter 2 Review

Chapter 2 Group Activity: Rates of Change

Chapter 3: Functions

3-1 Functions

3-2 Graphing Functions

3-3 Transformations of Functions

3-4 Quadratic Functions

3-5 Combining Functions; Composition

3-6 Inverse Functions

Chapter 3 Review

Chapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling Plan

Chapters 1-3 Cumulative Review Exercises

Chapter 4: Polynomials and Rational Functions

4-1 Polynomial Functions and Models

4-2 Real Zeros and Polynomial Inequalities

4-3 Complex Zeros and Rational Zeros of Polynomials

4-4 Rational Functions and Inequalities

4-5 Variation and Modeling

Chapter 4 Review

Chapter 4 Group Activity: Interpolating Polynomials

Chapter 5: Exponential and Logarithmic Functions

5-1 Exponential Functions

5-2 Exponential Models

5-3 Logarithmic Functions

5-4 Logarithmic Models

5-5 Exponential and Logarithmic Equations

Chapter 5 Review

Chapter 5 Group Activity: Growth of Increasing Functions

Chapters 4-5 Cumulative Review Exercises

Chapter 6: Additional Topics in Analytic Geometry

6-1 Conic Sections; Parabolas

6-2 Ellipses

6-3 Hyperbolas

Chapter 6 Review

Chapter 6 Group Activity: Focal Chords

Chapter 7: Systems of Equations and Inequalities; Matrices

7-1 Systems of Linear Equations: Graphing and Substitution

7-2 Systems of Linear Equations: Elimination

7-3 Systems of Linear Equations: Gauss-Jordan Elimination

7-4 Matrices: Basic Operations

7-5 Systems of Linear Equations: Matrix Inverse Methods

7-6 Systems of Nonlinear Equations

7-7 Systems of Linear Inequalities in Two Variables

7-8 Linear Programming

Chapter 7 Review

Chapter 7 Group Activity: Modeling With Systems of Linear Equations

Chapter 8: Sequences and Series

8-1 Sequences and Series

8-2 Mathematical Induction

8-3 Arithmetic and Geometric Sequences

8-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations

8-5 Sample Spaces and Probability

8-6 Binomial Formula

Chapter 8 Review

Chapter 8 Group Activity: Sequences Specified by Recursion Formulas

Chapters 6-8 Cumulative Review Exercises

Appendix A: Special Topics

A-1 Scientific Notation and Significant Digits

A-2 Partial Fractions

A-3 Parametric Equations

Appendix B: Geometric Formulas

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