Developmental Mathematics: College Mathematics and Introductory Algebra

by Marvin Bittinger, Judith Beecher

Overview

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In this revision of the Bittinger Paperback Worktext Series, the Bittinger author team brings their extensive experience to developmental math courses, paired with thoughtful integration of technology and content. The Bittinger Series enables students to get the most out of their MyLabTM Math course through an updated learning path, new review videos, and engaging new exercises that offer the support they need, when they need it.

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Product Details

ISBN-13:	9780135229910
Publisher:	Pearson Education
Publication date:	01/02/2019
Edition description:	10th ed.
Pages:	1344
Product dimensions:	8.65(w) x 10.95(h) x 2.15(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." In addition, 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 3 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.

Table of Contents

1. Whole numbers

1.1 Standard Notation; Order

1.2 Addition and Subtraction

1.3 Multiplication and Division; Rounding and Estimating

1.4 Solving Equations

Mid-Chapter Review

1.5 Applications and Problem Solving

Translating for Success

1.6 Exponential Notation and Order of Operations

1.7 Factorizations

1.8 Divisibility

1.9 Least Common Multiples

Summary and Review

Test

2. Fraction Notation

2.1 Fraction Notation and Simplifying

2.2 Multiplication and Division

2.3 Addition and Subtraction; Order

Mid-Chapter Review

2.4 Mixed Numerals

2.5 Applications and Problem Solving

Translating for Success

2.6 Order of Operations and Estimation

Summary and Review

Test

3. Decimal Notation

3.1 Decimal Notation, Order, and Rounding

3.2 Addition and Subtraction

3.3 Multiplication

3.4 Division

Mid-Chapter Review

3.5 Converting from Fraction Notation to Decimal Notation

3.6 Estimating

3.7 Applications and Problem Solving

Translating for Success

Summary and Review

Test

4. Percent Notation

4.1 Ratio and Proportion

4.2 Percent Notation

4.3 Percent Notation and Fraction Notation

4.4 Solving Percent Problems Using Percent Equations

4.5 Solving Percent Problems Using Proportions

Mid-Chapter Review

4.6 Applications of Percent

Translation for Success

4.7 Sales Tax, Commission, and Discount

4.8 Simple Interest and Compound Interest; Credit Cards

Summary and Review

Test

5. Data, Graphs, and Statistics

5.1 Averages, Medians, and Modes

5.2 Interpreting Data from Tables and Graphs

Mid-Chapter Review

5.3 Interpreting and Drawing Bar Graphs and Line Graphs

5.4 Interpreting and Drawing Circle Graphs

Translating for Success

Summary and Review

Test

6. Geometry

6.1 Basic Geometric Figures

6.2 Perimeter

6.3 Area

6.4 Circles

Mid-Chapter Reviews

6.5 Volume and Surface Area

6.6 Relationships Between Angle Measures

6.7 Congruent Triangles and Properties of Parallelograms

6.8 Similar Triangles

Translating for Success

Summary and Review

Test

7. Introduction to Real Numbers and Algebraic Expressions

7.1 Introduction to Algebra

7.2 The Real Numbers

7.3 Addition of Real Numbers

7.4 Subtraction of Real Numbers

Mid-Chapter Review

7.5 Multiplication of Real Numbers

7.6 Division of Real Numbers

7.7 Properties of Real Numbers

7.8 Simplifying Expressions; Order of Operations

Summary and Review

Test

8. Solving Equations and Inequalities

8.1 Solving Equations: The Addition Principle

8.2 Solving Equations: The Multiplication Principle

8.3 Using the Principles Together

8.4 Formulas

Mid-Chapter Review

8.5 Applications of Percent

8.6 Applications and Problem Solving

Translating for Success

8.7 Solving Inequalities

8.8 Applications and Problem Solving with Inequalities

Summary and Review

Test

9. Graphs of Linear Equations

9.1 Graphs and Applications of Linear Equations

9.2 More with Graphing and Intercepts

Visualizing for Success

9.3 Slope and Applications

9.4 Equations of Lines

Mid-Chapter Review

9.5 Graphing Using the Slope and the y-Intercept

9.6 Parallel Lines and Perpendicular Lines

9.7 Graphing Inequalities in Two Variables

Visualizing for Success

Summary and Review

Test

10. Polynomials: Operations

10.1 Integers as Exponents

10.2 Exponents and Scientific Notation

10.3 Introduction to Polynomials

10.4 Addition and Subtraction of Polynomials

Mid-Chapter Review

10.5 Multiplication of Polynomials

10.6 Special Products

Visualizing for Success

10.7 Operations with Polynomials in Several Variables

10.8 Division of Polynomials

Summary and Review

Test

11. Polynomials: Factoring

11.1 Introduction to Factoring

11.2 Factoring Trinomials of the Type x² + bx + c

11.3 Factoring ax² + bx + c, a ≠ 1: the FOIL Method

11.4 Factoring ax² + bx + c, a ≠ 1: the ac-Method

Mid-Chapter Review

11.5 Factoring Trinomial Squares and Differences of Squares

11.6 Factoring: A General Strategy

11.7 Solving Quadratic Equations by Factoring

11.8 Applications of Quadratic Equations

Translating for Success

Summary and Review

Test

12. Rational Expressions and Equations

12.1 Multiplying and Simplifying Rational Expressions

12.2 Division and Reciprocals

12.3 Least Common Multiples and Denominators

12.4 Adding Rational Expressions

12.5 Subtracting Rational Expressions

Mid-Chapter Review

12.6 Complex Rational Expressions

12.7 Solving Rational Equations

12.8 Applications Using Rational Equations and Proportions

Translating for Success

12.9 Direct Variation and Inverse Variation

Summary and Review

Test

13. Systems of Equations

13.1 Systems of Equations in Two Variables

13.2 The Substitution Method

13.3 The Elimination Method

Mid-Chapter Review

13.4 Applications and Problem Solving

13.5 Applications with Motion

Translating for Success

Summary and Review

Test

14. Radical Expressions and Equations

14.1 Introduction to Radical Expressions

14.2 Multiplying and Simplifying with Radical Expressions

14.3 Quotients Involving Radical Expressions

Mid-Chapter Review

14.4 Addition, Subtraction, and More Multiplication

14.5 Radical Equations

14.6 Applications with Right Triangles

Translating for Success

Summary and Review

Test

15. Quadratic Equations

15.1 Introduction to Quadratic Equations

15.2 Solving Quadratic Equations by Completing the Square

15.3 The Quadratic Formula

Mid-Chapter Review

15.4 Formulas

15.5 Applications and Problem Solving

Translating for Success

15.6 Graphs for Quadratic Equations

Visualizing for Success

15.7 Functions

Summary and Review

Test

Appendixes

A. Linear Measures: American Units and Metric Units

B. Weight and Mass; Medical Applications

C. Capacity; Medical Applications

D. Time and Temperature

E. Sets

F. Factoring Sums or Differences of Cubes

G. Finding Equations of Lines: Point-Slope Equation

H. Equations Involving Absolute Value

I. The Distance Formula and Midpoints

J. Higher Roots, and Rational Numbers as Exponents

K. Inequalities and Interval Notation

L. Nonlinear Inequalities

M. Systems of Linear Inequalities

N. Probability

O. The Complex Numbers

Answers

Guided Solutions

Glossary

Index