Introductory Algebra / Edition 12

by Marvin Bittinger

Overview

Master the fundamental with MathMax. It's a must for today's student...Today, knowledge of mathematics is a necessity. MathMax will give you the tools essential for further study in any field you pursue, and for greater understanding of the world around you.

Product Details

ISBN-13:	2900321867963
Publisher:	Pearson Education
Publication date:	12/24/2013
Edition description:	Older Edition
Pages:	840
Product dimensions:	8.50(w) x 10.80(h) x 1.30(d)

About the Author

About our authors

Marvin Bittinger has been teaching math at the university level for more than 38 years. Since 1968, he has been employed at Indiana University - Purdue University Indianapolis (IUPUI) 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. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." He also has an interest in philosophy and theology, particularly apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has 2 grown and married sons, Lowell and Chris, and 4 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 (IUPUI). In addition to her career in textbook publishing, she enjoys traveling, spending time with 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 is a PhD candidate 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

(Most Chapters begin with a Pretest section and end with Summary and Review, Test, and Cumulative Review sections.)

DIAGNOSTIC TEST.

R. Prealgebra Review.
Factoring and LCMs.
Fractional Notation.
Decimal Notation.
Percent Notation.
Exponential Notation and Order of Operations.

1. Introduction to Real Numbers and Algebraic Expressions.
Introduction to Algebra.
The Real Numbers.
Addition of Real Numbers.
Subtraction of Real Numbers.
Multiplication of Real Numbers.
Division of Real Numbers.
Properties of Real Numbers.
Simplifying Expressions; Order of Operations.

2. Solving Equations and Inequalities.
Solving Equations: The Addition Principles.
Solving Equations: The Multiplication Principle.
Using the Principles Together.
Applications and Problem Solving.
Applications with Percents.
Formulas.
Solving Inequalities.
Applications and Problem Solving with Inequalities.

3. Graphs of Equations; Data Analysis.
Graphs and Applications.
Graphing Linear Equations.
More on Graphing Linear Equations.
Applications and Data Analysis with Graphs.

4. Polynomials: Operations.
Integers as Exponents.
Exponents and Scientific Notation.
Introduction to Polynomials.
Addition and Subtraction of Polynomials.
Multiplication of Polynomials.
Special Products.
Operations with Polynomials in Several Variables.
Division of Polynomials.

5. Polynomials: Factoring.
Introduction to Factoring.
Factoring Trinomials of the Type x2 + bx + c.
Factoring ax2 + bx + c, a = 1, UsingFOIL.
Factoring ax + bx+ c, a = 1 Using Grouping.
Factoring Trinomial Squares and Differences of Squares.
Factoring : A General Strategy.
Solving Quadratic Equations by Factoring.
Applications and Problem Solving.

6. Rational Expressions and Equations.
Multiplying and Simplifying Rational Expressions.
Division and Reciprocals.
Least Common Multiples and Denominators.
Adding Rational Expressions.
Subtracting Rational Expressions.
Solving Rational Equations.
Applications, Proportions, and Problem Solving.
Formulas and Applications.
Complex Rational Expressions.

7. Graphs, Slope, and Applications.
Slope and Slope-Intercept Form.
Equations of Lines.
Parallel and Perpendicular Lines.
Graphing Inequalities in Two Variables.
Direct and Inverse Variation.

8. Systems of Equations.
Systems of Equations in Two Variables.
The Substitution Method.
The Elimination Method.
Applications and Problem Solving.
Applications with Motion.

9. Radical Expressions and Equations.
Introduction to Square Roots and Radical Expressions.
Multiplying and Simplifying with Radical Expressions.
Quotients Involving Square Roots.
Addition, Subtraction, and More Multiplication.
Radical Equations.
Applications with Right Triangles.

10. Quadratic Equations.
Introduction to Quadratic Equations.
Solving Quadratic Equations by Completing the Square.
The Quadratic Formula.
Formulas.
Applications and Problem Solving.
Graphs of Quadratic Equations.
Functions.
Final Examination.

Appendixes.
A. Factoring Sums or Differences of Cubes.
B. Higher Roots.
C. Sets.