Algebra For College Students

by Blitzer, Robert F.

• ISBN13: 9780136019749
• ISBN10: 0136019749
• Edition: 6th
• Format: Hardcover
• Copyright: 2008-03-13
• Publisher: SCHOLG

Summary

The goal of this series is to provide readers with a strong foundation in Algebra. Each book is designed to develop readers'critical thinking and problem-solving capabilities and prepare readers for subsequent Algebra courses as well as "service" math courses. Topics are presented in an interesting and inviting format, incorporating real world sourced data and encouraging modeling and problem-solving.Algebra, Mathematical Models, and Problem Solving. Functions and Linear Functions. Systems of Linear Equations. Inequalities and Problem Solving. Polynomials, Polynomial Functions, and Factoring. Rational Expressions, Functions, and Equations. Radicals, Radical Functions, and Rational Exponents. Quadratic Equations and Functions. Exponential and Logarithmic Functions. Conic Sections and Systems of Nonlinear Equations. More on Polynomial and Rational Functions. Sequences, Induction, and Probability. For anyone interested in introductory and intermediate algebra and for the combined introductory and intermediate algebra.

Author Biography

Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob’s love for teaching mathematics was nourished for nearly 30 years at Miami Dade College, where he received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College and an endowed chair based on excellence in the classroom. In addition to Intermediate Algebra for College Students, Bob has written textbooks covering introductory algebra, college algebra, algebra and trigonometry, precalculus, and liberal arts mathematics, all published by Prentice Hall. When not secluded in his Northern California writer’s cabin, Bob can be found hiking the beaches and trails of Point Reyes National Seashore, and tending to the chores required by his beloved entourage of horses, chickens, and irritable roosters.

Table of Contents

A Brief Guide to Getting the Most from This Book

Preface

To The Student

About the Author

Algebra, Mathematical Models, and Problem Solving

Algebraic Expressions and Real Numbers

Operations with Real Numbers and Simplifying Algebraic Expressions

Graphing Equations

Solving Linear Equations

Mid-Chapter Check Point Section 1.1 Section 1.4

Problem Solving and Using Formulas

Properties of Integral Exponents

Scientific Notation

Group Project

Summary

Review Exercises

Test

Functions and Linear Functions

Introduction to Functions

Graphs of Functions

The Algebra of Functions

Mid-Chapter Check Point Section 2.1 Section 2.3

Linear Functions and Slope

The Point-Slope Form of the Equation of a Line

Group Project

Summary

Review Exercises

Test

Cumulative Review Exercises (Chapters 1 2)

Systems of Linear Equations

Systems of Linear Equations in Two Variables

Problem Solving and Business Applications Using Systems of Equations

Systems of Linear Equations in Three Variables

Mid-Chapter Check Point Section 3.1 Section 3.3

Matrix Solutions to Linear Systems

Determinants and Cramer's Rule

Group Project

Summary

Review Exercises

Test

Cumulative Review Exercises (Chapters 1 3)

Inequalities and Problem Solving

Solving Linear Inequalities

Compound Inequalities

Equations and Inequalities Involving Absolute Value

Linear Inequalities in Two Variables

Linear Programming

Group Project

Summary

Review Exercises

Test

Cumulative Review Exercises (Chapters 1 4)

Polynomials, Polynomial Functions, and Factoring

Introduction to Polynomials and Polynomial Functions

Multiplication of Polynomials

Greatest Common Factors and Factoring By Grouping

Factoring Trinomials

Mid-Chapter Check Point Section 5.1 Section 5.4

Factoring Special Forms

A General Factoring Strategy

Polynomial Equations and Their Applications

Group Project

Summary

Review Exercises

Test

Cumulative Review Exercises (Chapters 1 5)

Rational Expressions, Functions, and Equations

Rational Expressions and Functions: Multiplying and Dividing

Adding and Subtracting Rational Expressions

Complex Rational Expressions

Division of Polynomials

Mid-Chapter Check Point Section 6.1 Section 6.4

Synthetic Division and the Remainder Theorem

Rational Equations

Formulas and Applications of Rational Equations

Modeling Using Variation

Group Project

Summary

Review Exercises

Test

Cumulative Review Exercises (Chapters 1 6)

Radicals, Radical Functions, and Rational Exponents

Radical Expressions and Functions

Rational Exponents

Multiplying and Simplifying Radical Expressions

Adding, Subtracting, and Dividing Radical Expressions

Mid-Chapter Check Point Section 7.1 Section 7.4

Multiplying with More Than One Term and Rationalizing Denominators

Radical Equations

Complex Numbers

Group Project

Summary

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