Intermediate Algebra / Edition 12

Intermediate Algebra / Edition 12

by Marvin L. Bittinger
ISBN-10:
0321924711
ISBN-13:
2900321924710
Pub. Date:
02/06/2014
Publisher:
Pearson

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Overview

Intermediate Algebra / Edition 12

Intended for students who have a firm background in introductory algebra, this text is appropriate for a one-term course in intermediate algebra.

Product Details

ISBN-13: 2900321924710
Publisher: Pearson
Publication date: 02/06/2014
Edition description: New Edition
Pages: 928
Product dimensions: 8.40(w) x 10.80(h) x 0.90(d)

About the Author

Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University–Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.

Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University–Purdue University Indianapolis. In addition to her career in textbook publishing, she spends time traveling, enjoying her grandchildren, and promoting charity projects for a children's camp.


Barbara Johnson has a BS in mathematics from Bob Jones University and a MS in mathematics from Clemson University, and she is currently pursuing a PhD in Educational Studies at Ball State University. She has taught high school and college math for 30 years, and she enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she is also a student of karate.

Table of Contents

Review of Basic Algebra.
Pretest.

I. OPERATIONS.

The Set of Real Numbers.

Operations with Real Numbers.

Exponential Notation and Order of Operations.

II. MANIPULATIONS.

Introduction to Algebraic Expressions.

Equivalent Algebraic Expressions.

Simplifying Algebraic Expressions.

Properties of Exponents and Scientific Notation.

1. Solving Linear Equations and Inequalities.
Solving Equations.
Formulas and Applications.
Applications and Problem Solving.
Sets, Interval Notation, and Inequalities.
Intersections, Unions, and Compound Inequalities.
Absolute-Value Equations and Inequalities.

2. Graphs, Functions, and Applications.
Graphs of Equations.
Linear Equations: Graphs and Slope.
More on Graphing Linear Equations.
Finding Equations of Lines.
Mathematical Modeling with Linear Equations.

3. Systems of Equations.
Systems of Equations in Two Variables.
Solving by Substitution or Elimination.
Solving by Applications: Systems of Two Equations.
Systems of Equations inThree Variables.
Solving Applications: Systems of Three Equations.
Systems of Linear Inequalities in Two Variables.
Business and Economic Applications.

4. Polynomials and Polynomial Function.
Introduction to Polynomials and Polynomial Equations.
Multiplication of Polynomials.
Introduction to Factoring.
Factoring Trinomials ax2 + bx + c, a …Ö 1.
Special Factoring.
Factoring: A General Strategy.
Applications of Polynomial Equations.

5. Rational Expressions, Equations and Functions.
Rational Expressions: Multiplying, Dividing, and Simplifying.
LCMs, LCDs, Addition and Subtraction.
Division of Polynomials.
Complex Rational Expressions.
Solving Rational Equations.
Applications and Problem Solving.
Formulas and Applications.
Variation and Applications.

6. Radical Expressions, Equations and Functions.
Radical Expressions and Equations.
Rational Numbers as Exponents.
Simplifying Radical Expressions.
Addition, Subtraction, and More Multiplication.
More on Division of Radical Expressions.
Solving Radical Equations.
Applications Involving Powers and Roots.
The Complex Numbers.

7. Quadratic Equations and Functions.
The Basics of Solving Quadratic Equations.
The Quadratic Formula.
Applications Involving Quadratic Equations.
More on Quadratic Equations.
Graphs of Quadratic Functions of the Type f(x) = a(x - h)2 + k.
Graphs of Quadratic Functions of the Type f(x) = ax2 + bx + c.
Mathematical Modeling with Quadratic Functions.
Polynomial and Rational Inequalities.

8. Exponential and Logarithmic Functions.
Exponential Functions.
Inverse and Composite Functions.
Logarithmic Functions.
Properties of Logarithmic Functions.
Natural Logarithmic Functions.
Solving Exponential and Logarithmic Equations.
Mathematical Modeling with Exponential and Logarithmic Functions.

9. Conic Sections.
Conic Sections: Parabolas and Circles.
Conic Sections: Ellipses.
Conic Sections: Hyperbolas.
Nonlinear Systems of Equations.

APPENDIXES.


A. Handling Dimension Symbols.
B. Determinants and Cramer's Rule.
C. Elimination Using Matrices.
D. The Algebra of Functions.

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