Description
Book SynopsisMarvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana UniversityPurdue 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
Table of Contents
Table of Contents
- Index of Activities
- Index of Animations
- Preface
- Index of Applications
-
Just-in-Time Review
- All Factors of a Number
- Prime Factorizations
- Greatest Common Factor
- Least Common Multiple
- Equivalent Expressions and Fraction Notation
- Mixed Numerals
- Simplify Fraction Notation
- Multiply and Divide Fraction Notation
- Add and Subtract Fraction Notation
- Convert from Decimal Notation to Fraction Notation
- Add and Subtract Decimal Notation
- Multiply and Divide Decimal Notation
- Convert from Fraction Notation to Decimal Notation
- Rounding with Decimal Notation
- Convert Between Percent Notation and Decimal Notation
- Convert Between Percent Notation and Fraction Notation
- Exponential Notation
- Order of Operations
-
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
- 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
-
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
- 2.5 Applications of Percent
- 2.6 Applications and Problem Solving
- 2.7 Solving Inequalities
- 2.8 Applications and Problem Solving with Inequalities
- Summary and Review
- Test
- Cumulative Review
-
Graphs of Linear Equations
- 3.1 Graphs and Applications of Linear Equations
- 3.2 More with Graphing and Intercepts
- 3.3 Slope and Applications
- 3.4 Equations of Lines
- 3.5 Graphing Using the Slope and y-Intercept
- 3.6 Parallel Lines and Perpendicular Lines
- 3.7 Graphing Inequalities in Two Variables
- Visualizing for Success
- Summary and Review
- Test
- Cumulative Review
-
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
- 4.7 Operations with Polynomials in Several Variables
- 4.8 Division of Polynomials
- Summary and Review
- Test
- Cumulative Review
-
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
- 5.5 Factoring Trinomial Squares and Differences of Squares
- 5.6 Factoring: A General Strategy
- 5.7 Solving Quadratic Equations by Factoring
- 5.8 Applications of Quadratic Equations
- Translating For Success
- Summary and Review
- Test
- Cumulative Review
-
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
- 6.6 Complex Rational Expressions
- 6.7 Solving Rational Equations
- 6.8 Applications Using Rational Equations and Proportions
- 6.9 Direct Variation and Inverse Variation
- Summary and Review
- Test
- Cumulative Review
-
Systems of Equations
- 7.1 Systems of Equations in Two Variables
- 7.2 The Substitution Method
- 7.3 The Elimination Method
- 7.4 Applications and Problem Solving
- 7.5 Applications with Motion
- Translating for Success
- Summary and Review
- Test
- Cumulative Review
-
Radical Expressions and Equations
- 8.1 Introduction to Radical Expressions
- 8.2 Multiplying and Simplifying with Radical Expressions
- 8.3 Quotients Involving Radical Expressions
- 8.4 Addition, Subtraction, and More Multiplication
- 8.5 Radical Equations
- 8.6 Applications with Right Triangles
- Translating for Success
- Summary and Review
- Test
- Cumulative Review
-
Quadratic Equations
- 9.1 Introduction to Quadratic Equations
- 9.2 Solving Quadratic Equations by Completing the Square
- 9.3 The Quadratic Formula
- 9.4 Formulas
- 9.5 Applications and Problem Solving
- 9.6 Graphs of Quadratic Equations
- 9.7 Functions
- Summary and Review
- Test
- Cumulative Review
APPENDIXES
- Factoring Sums or Differences of Cubes
- Finding Equations of Lines: Point—Slope Equation
- Higher Roots
- Sets
- Mean, Median, and Mode
- Inequalities and Interval Notation
Answers Guided Solutions Glossary Index
