ISBN-10:
0321143183
ISBN-13:
9780321143181
Pub. Date:
06/28/2003
Publisher:
Addison-Wesley
Developmental Mathematics / Edition 6

Developmental Mathematics / Edition 6

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Product Details

ISBN-13: 9780321143181
Publisher: Addison-Wesley
Publication date: 06/28/2003
Series: MathXL Tutorials on CD Series
Edition description: Older Edition
Pages: 1256
Product dimensions: 8.50(w) x 10.90(h) x 1.70(d)

About the Author

Marvin Bittinger For over thirty years Professor Marvin L. Bittinger has been teaching math at the university level. Since 1968 he has been employed as a professor of mathematics education at Indiana University - Purdue University at Indianapolis. Professor Bittinger has authored 159 publications on topics ranging from Basic Mathematics to Algebra and Trigonometry to Brief Calculus. He received his BA in Mathematics from Manchester College in 1963 and his PhD in Mathematics Education from Purdue University in 1968. Special honors include being Distinguished Visiting Professor at the United States Air Force Academy and being elected to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking, baseball, golf, and bowling and he enjoys membership in the Professional Bowler's Association and the Society for the Advancement of Baseball Research.

Professor Bittinger has also had the privilege of speaking at a recent mathematics convention giving a lecture entitled, Baseball and Mathematics. 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 three grandchildren.

Judy Beecher has an undergraduate degree in mathematics fromIndiana University and a graduate degree in mathematics fromPurdue University. She has taught at both the high school and college levels with many years of developmental math and precalculusteaching experience at Indiana University Purdue University Indianapolis. Inaddition to her career in textbook publishing,she spends time reading,traveling, attending the theater, and promoting charity projects for a children's camp.

Table of Contents



1. Whole Numbers.

Standard Notation; Order.

Addition and Subtraction.

Multiplication and Division; Rounding and Estimating.

Solving Equations.

Applications and Problem Solving.

Exponential Notation and Order of Operations.

Factorizations.

Divisibility.

Least Common Multiples.

2. Fraction Notation.

Fraction Notation and Simplifying.

Multiplication and Division.

Addition and Subtraction; Order.

Mixed Numerals.

Applications and Problem Solving.

Order of Operations; Estimation.

3. Decimal Notation.

Decimal Notation, Order, and Rounding.

Addition and Subtraction.

Multiplication.

Division.

Converting from Fraction Notation to Decimal Notation.

Estimating.

Applications and Problem Solving.

4. Percent Notation.

Ratio and Proportion.

Percent Notation.

Percent Notation and Fraction Notation.

Solving Percent Problems Using Percent Equations.

Solving Percent Problems Using Proportions.

Applications of Percent.

Sales Tax, Commission, Discount and Interest.

Interest Rates on Credit Cards and Loans.

5. Data, Graphs, and Statistics.

Averages, Medians, and Modes.

Tables and Pictographs.

Bar Graphs and Line Graphs.

Circle Graphs.

6. Geometry.

Basic Geometric Figures.

Perimeter.

Area.

Circles.

Volume and Surface Area.

Relationships Between Angle Measures.

Congruent Triangles and Properties of Parallelograms.

Similar Triangles.

7. 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.

8. Solving Equations and Inequalities.

Solving Equations: The Addition Principle.

Solving Equations: The Multiplication Principle.

Using the Principles Together.

Formulas.

Applications of Percent.

Applications and Problem Solving.

Solving Inequalities.

Applications and Problem Solving with Inequalities.

9. Graphs of Linear Equations.

Graphs and Applications.

Graphing Linear Equations.

More with Graphing and Intercepts.

Slope and Applications.

10. 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.

11. Polynomials: Factoring.

Introduction to Factoring.

Factoring Trinomials of the Type x2 + bx + c.

Factoring ax2 + bx + c, a 1, The FOIL Method.

Factoring ax2 + bx + c, a 1, The ac-Method.

Factoring Trinomial Squares and Differences of Squares.

Factoring: A General Strategy.

Solving Quadratic Equations by Factoring.

Applications of Quadratic Equations.

12. 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 Using Rational Equations and Proportions.

Complex Rational Expressions.

13. Graphs, Slope, and Applications.

The Slope-Intercept Equation.

Graphing Using the Slope and the y-Intercept.

Parallel and Perpendicular Lines.

Graphing Inequalities in Two Variables.

Direct and Inverse Variation.

14. Systems of Equations.

Systems of Equations in Two Variables.

The Substitution Method.

The Elimination Method.

Applications and Problem Solving.

Applications with Motion.

15. Radical Expressions and Equations.

Introduction to Radical Expressions.

Multiplying and Simplifying with Radical Expressions.

Quotients Involving Radical Expressions.

Addition, Subtraction, and More Multiplication.

Radical Equations.

Applications with Right Triangles.

16. 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.

Appendix A. Linear Measures: American and Metric.


Appendix B. Weight and Mass; Medical Applications.


Appendix C. Capacity; Medical Applications.


Appendix D. Time and Temperature.


Appendix E. Sets.


Appendix F. Factoring Sums or Differences of Cubes.


Appendix G. Equations Involving Absolute Value.


Appendix H. The Distance Formula and Midpoints.


Appendix I. Higher Roots, and Rational Numbers as Exponents.


Appendix J. Nonlinear Inequalities.


Appendix K. Systems of Linear Inequalities.


Appendix L. Probability.


Appendix M. Applying Reasoning Skills.


Appendix N. Multi-step Applied Problems.


Appendix O. TASP Practice Test.

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