College Algebra, 6th Edition / Edition 6by Jerome E. Kaufmann, Karen L. Schwitters
Pub. Date: 11/22/2004
Publisher: Cengage Learning
Focusing on and reinforcing problem-solving throughout, Kaufmann and Schwitters help students learn to analyze a word problem by approaching it logically and extracting all its essential mathematical components so that the process of solving a problem can be approached with ease. The authors' proven approach of "learn a skill" then "use a skill to solve equations
Focusing on and reinforcing problem-solving throughout, Kaufmann and Schwitters help students learn to analyze a word problem by approaching it logically and extracting all its essential mathematical components so that the process of solving a problem can be approached with ease. The authors' proven approach of "learn a skill" then "use a skill to solve equations and inequalities" and finally, "use equations and inequalities to solve word problems" helps students apply their newly learned skills immediately for better comprehension and retention. This is the same approach used by the authors in their highly successful developmental mathematics texts.
- Cengage Learning
- Publication date:
- Edition description:
- With CD-ROM and iLrn Tutorial
- Product dimensions:
- 8.20(w) x 9.40(h) x 0.90(d)
Table of Contents
0. SOME BASIC CONCEPTS OF ALGEBRA: A REVIEW. Some Basic Ideas. Exponents. Polynomials. Factoring Polynomials. Rational Expressions. Radicals. Relationships Between Exponents and Roots. Complex Numbers. Chapter 0 Summary. Chapter 0 Review Problem Set. Chapter 0 Test. 1. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING. Linear Equations and Problem Solving. More Equations and Applications. Quadratic Equations. Applications of Linear and Quadratic Equations. Miscellaneous Equations. Inequalities. Inequalities Involving Quotients and Absolute Value. Chapter 1 Summary. Chapter 1 Review Problem Set. Chapter 1 Test. 2. COORDINATE GEOMETRY AND GRAPHING TECHNIQUES. Coordinate Geometry. Graphing Techniques: Linear Equations and Inequalities. Determining the Equation of a Line. More on Graphing. Circles, Ellipses, and Hyperbolas. Chapter 2 Summary. Chapter 2 Review Problem Set. Chapter 2 Test. Cumulative Review Problem Set (Chapters 0-2). 3. FUNCTIONS. Concept of a Function. Linear Functions and Applications. Quadratic Functions. More Quadratic Functions and Applications. Transformations of Some Basic Curves. Combining Functions. Inverse Functions. Chapter 3 Summary. Chapter 3 Review Problem Set. Chapter 3 Test. Cumulative Review Problem Set (Chapters 0-3). 4. POLYNOMIAL AND RATIONAL FUNCTIONS. Dividing Polynomials. Remainder and Factor Theorems. Polynomial Equations. Graphing Polynomial Functions. Graphing Rational Functions. More on Graphing Rational Functions. Direct and Inverse Variation. Chapter 4 Summary. Chapter 4 Review Problem Set. Chapter 4 Test. Cumulative Review Problem Set (Chapters 0-4). 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponents and Exponential Functions. Applications of Exponential Functions. Logarithms. Logarithmic Functions. Exponential and Logarithmic Equations: Problem Solving. Chapter 5 Summary. Chapter 5 Review Problem Set. Chapter 5 Test. Cumulative Review Problem Set (Chapters 0-5). 6. SYSTEMS OF EQUATIONS. Systems of Two Linear Equations in Two Variables. Systems of Three Linear Equations in Three Variables. Matrix Approach to Solving Systems. Determinants. Cramer's Rule. Partial Fractions. Chapter 6 Summary. Chapter 6 Review Problem Set. Chapter 6 Test. Cumulative Review Problem Set (Chapters 0-6). 7. ALGEBRA OF MATRICES. Algebra of 2 × 2 Matrices. Multiplicative Inverses. m × n Matrices. Systems Involving Linear Inequalities: Linear Programming. Chapter 7 Summary. Chapter 7 Review Problem Set. Chapter 7 Test. 8. CONIC SECTIONS. Parabolas. Ellipses. Hyperbolas. Systems Involving Nonlinear Equations. Chapter 8 Summary. Chapter 8 Review Problem Set. Chapter 8 Test. Cumulative Review Problem Set (Chapters 0-8). 9. SEQUENCES AND MATHEMATICAL INDUCTION. Arithmetic Sequences. Geometric Sequences. Another Look at Problem Solving. Mathematical Induction. Chapter 9 Summary. Chapter 9 Review Problem Set. Chapter 9 Test. 10. COUNTING TECHNIQUES, PROBABILITY, AND THE BINOMIAL THEOREM. Fundamental Principle of Counting. Permutations and Combinations. Probability. Some Properties of Probability and Expected Value. Conditional Probability: Dependent and Independent Events. Binomial Theorem. Chapter 10 Summary. Chapter 10 Review Problem Set. Chapter 10 Test.
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