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Kaufmann, Jerome E.
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. Direct and Inverse Variation. Chapter 3 Summary. Chapter 3 Review Problem Set. Chapter 3 Test. Cumulative Review Problem Set (Chapters 0-3). 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponents and Exponential Functions. Applications of Exponential Functions. Inverse Functions. Logarithms. Logarithmic Functions. Exponential and Logarithmic Functions: Problem Solving. Chapter 4 Summary. Chapter 4 Review Problem Set. Chapter 4 Test. Cumulative Review Problem Set (Chapters 0-4). 5. POLYNOMIAL AND RATIONAL FUNCTIONS. Dividing Polynomials. Remainder and Factor Theorems. Polynomial Equations. Graphing Polynomial Functions. Graphing Rational Functions. More on Graphing Rational Functions. Partial Fractions. 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. 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 Values. Conditional Probability: Dependent and Independent Events. Binomial Theorem. Chapter 10 Summary. Chapter 10 Review Problem Set. Chapter 10 Test. Appendix A: Common Logarithms. Appendix B: Natural Logarithms. Answers to Odd-Numbered Problems and all Chapter Review, Chapter Test, and Cumulative Review Problems. Answers to Selcted Even-Numbered Problems. Index.Kaufmann, Jerome E. is the author of 'College Algebra With Infotrac' with ISBN 9780534432775 and ISBN 0534432778.
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