ISBN-10:
032115519X
ISBN-13:
9780321155191
Pub. Date:
02/28/2003
Publisher:
Addison-Wesley
Introductory and Intermediate Algebra / Edition 2

Introductory and Intermediate Algebra / Edition 2

by Judith A. Beecher, Marvin L. Bittinger

Hardcover

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Product Details

ISBN-13: 9780321155191
Publisher: Addison-Wesley
Publication date: 02/28/2003
Edition description: REV
Pages: 1018
Product dimensions: 8.89(w) x 11.05(h) x 1.59(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

1. Introduction to Real Numbers and Algebraic Expressions

1.1 Introduction to Algebra

1.2 The Real Numbers

1.3 Addition of Real Numbers

1.4 Subtraction of Real Numbers

Mid-Chapter Review

1.5 Multiplication of Real Numbers

1.6 Division of Real Numbers

1.7 Properties of Real Numbers

1.8 Simplifying Expressions; Order of Operations

Summary and Review

Test

2. Solving Equations and Inequalities

2.1 Solving Equations: The Addition Principle

2.2 Solving Equations: The Multiplication Principle

2.3 Using the Principles Together

2.4 Formulas

Mid-Chapter Review

2.5 Applications of Percent

2.6 Applications and Problem Solving

Translating for Success

2.7 Solving Inequalities

2.8 Applications and Problem Solving with Inequalities

Summary and Review

Test

Cumulative Review

3. Graphs of Linear Equations

3.1 Introduction to Graphing

3.2 Graphing Linear Equations

3.3 More with Graphing and Intercepts

Visualizing for Success

Mid-Chapter Review

3.4 Slope and Applications

Summary and Review

Test

Cumulative Review

4. Polynomials: Operations

4.1 Integers as Exponents

4.2 Exponents and Scientific Notation

4.3 Introduction to Polynomials

4.4 Addition and Subtraction of Polynomials

4.5 Multiplication of Polynomials

4.6 Special Products

Visualizing for Success

4.7 Operations with Polynomials in Several Variables

4.8 Division of Polynomials

Summary and Review

Test

Cumulative Review

5. Polynomials: Factoring

5.1 Introduction to Factoring

5.2 Factoring Trinomials of the Type x2 + bx + c

5.3 Factoring ax2 + bx + c, a ≠ 1: The FOIL Method

5.4 Factoring ax2 + bx + c, a ≠ 1: The ac-Method

Mid-Chapter Review

5.5 Factoring Trinomial Squares and Differences of Squares

5.6 Factoring Sums or Differences of Cubes

5.7 Factoring: A General Strategy

5.8 Solving Quadratic Equations by Factoring

5.9 Applications of Quadratic Equations

Translating for Success

Summary and Review

Test

Cumulative Review

6. Rational Expressions and Equations

6.1 Multiplying and Simplifying Rational Expressions

6.2 Division and Reciprocals

6.3 Least Common Multiples and Denominators

6.4 Adding Rational Expressions

6.5 Subtracting Rational Expressions

Mid-Chapter Review

6.6 Complex Rational Expressions

6.7 Solving Rational Equations

6.8 Applications Using Rational Equations and Proportions

Translating for Success

6.9 Variation and Applications

Summary and Review

Test

Cumulative Review

7. Graphs, Functions, and Applications

7.1 Functions and Graphs

7.2 Finding Domain and Range

Mid-Chapter Review

7.3 Linear Functions: Graphs and Slope

7.4 More on Graphing Linear Equations

Visualizing for Success

7.5 Finding Equations of Lines; Applications

Summary and Review

Test

Cumulative Review

8. Systems of Equations

8.1 Systems of Equations in Two Variables

8.2 Solving by Substitution

8.3 Solving by Elimination

8.4 Solving Applied Problems: Two Equations

Translating for Success

Mid-Chapter Review

8.5 Systems of Equations in Three Variables

8.6 Solving Applied Problems: Three Equations

Summary and Review

Test

Cumulative Review

9. More on Inequalities

9.1 Sets, Inequalities, and Interval Notation

Translating for Success

9.2 Intersections, Unions, and Compound Inequalities

Mid-Chapter Review

9.3 Absolute-Value Equations and Inequalities

9.4 Systems of Inequalities in Two Variables

Visualizing for Success

Summary and Review

Test

Cumulative Review

10. Radical Expressions, Equations, and Functions

10.1 Radical Expressions and Functions

10.2 Rational Numbers as Exponents

10.3 Simplifying Radical Expressions

10.4 Addition, Subtraction, and More Multiplication

Mid-Chapter Review

10.5 More on Division of Radical Expressions

10.6 Solving Radical Equations

10.7 Applications Involving Powers and Roots

Translating for Success

10.8 The Complex Numbers

Summary and Review

Test

Cumulative Review

11. Quadratic Equations and Functions

11.1 The Basics of Solving Quadratic Equations

11.2 The Quadratic Formula

11.3 Applications Involving Quadratic Equations

Translating for Success

11.4 More on Quadratic Equations

Mid-Chapter Review

11.5 Graphing f(x) = a(x - h)2 + k

11.6 Graphing f(x) = ax2 + bx + c

Visualizing for Success

11.7 Mathematical Modeling with Quadratic Functions

11.8 Polynomial Inequalities and Rational Inequalities

Summary and Review

Test

Cumulative Review

12. Exponential Functions and Logarithmic Functions

12.1 Exponential Functions

12.2 Composite Functions and Inverse Functions

12.3 Logarithmic Functions

12.4 Properties of Logarithmic Functions

Mid-Chapter Review

12.5 Natural Logarithmic Functions

Visualizing for Success

12.6 Solving Exponential Equations and Logarithmic Equations

12.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions

Translating for Success

Summary and Review

Test

Cumulative Review

Appendices

A. Factoring and LCMs

B. Fraction Notation

C. Exponential Notation and Order of Operations

D. Introductory Algebra Review

E. Mean, Median, and Mode

F. Synthetic Division

G. Determinants and Cramer’s Rule

H. Elimination Using Matrices

I. The Algebra of Functions

J. Distance, Midpoints, and Circles

Answers

Guided Solutions

Glossary

Index

Additional Instructor's Answers

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