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College Algebra

by Richard N. Aufmann

College Algebra cover
  • ISBN: 9780618386703
  • ISBN10: 061838670X

College Algebra

by Richard N. Aufmann

  • List Price: $295.95
  • Binding: Hardcover
  • Edition: 5
  • Publisher: Cengage
  • Publish date: 02/04/2004
  • ISBN: 9780618386703
  • ISBN10: 061838670X
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Description: Contents Note: Each chapter concludes with a Summary, True/False Exercises, Review Exercises, and a Test. Chapters 18 include Cumulative Review Exercises. P. Preliminary Concepts Section P.1 The Real Number System Section P.2 Integer and Rational Number Exponents Section P.3 Polynomials Section P.4 Factoring Section P.5 Rational Expressions Section P.6 Complex Numbers Exploring Concepts with Technology: Can You Trust Your Calculator? 1. Equations and Inequalities Section 1.1 Linear and Absolute Value Equations Section 1.2 Formulas and Applications Section 1.3 Quadratic Equations Section 1.4 Other Types of Equations Section 1.5 Inequalities Section 1.6 Variation and Applications Exploring Concepts with Technology: Use a Graphing Calculator to Solve Equations 2. Functions and Graphs Section 2.1 A Two-Dimensional Coordinate System and Graphs Section 2.2 Introduction to Functions Section 2.3 Linear Functions Section 2.4 Quadratic Functions Section 2.5 Properties of Graphs Section 2.6 The Algebra of Functions Section 2.7 Modeling Data Using Regression Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator 3. Polynomial and Rational Functions Section 3.1 The Remainder Theorem and the Factor Theorem Section 3.2 Polynomial Functions of Higher Degree Section 3.3 Zeros of Polynomial Functions Section 3.4 The Fundamental Theorem of Algebra Section 3.5 Graphs of Rational Functions and Their Applications Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica 4. Exponential and Logarithmic Functions Section 4.1 Inverse Functions Section 4.2 Exponential Functions and Their Applications Section 4.3 Logarithmic Functions and Their Applications Section 4.4 Logarithms and Logarithmic Scales Section 4.5 Exponential and Logarithmic Equations Section 4.6 Exponential Growth and Decay Section 4.7 Modeling Data with Exponential and Logarithmic Functions Exploring Concepts with Technology: Using a Semilog Graph to Model Exponential Decay 5. Topics in Analytic Geometry Section 5.1 Parabolas Section 5.2 Ellipses Section 5.3 Hyperbolas Exploring Concepts with Technology: Using a Graphing Calculator to Illustrate a Property of Parabolas 6. Systems of Equations Section 6.1 Systems of Linear Equations in Two Variables Section 6.2 Systems of Linear Equations in More Than Two Variables Section 6.3 Nonlinear Systems of Equations Section 6.4 Partial Fractions Section 6.5 Inequalities in Two Variables and Systems of Inequalities Section 6.6 Linear Programming Exploring Concepts with Technology: Ill-Conditioned Systems of Equations 7. Matrices Section 7.1 Gaussian Elimination Method Section 7.2 The Algebra of Matrices Section 7.3 The Inverse of a Matrix Section 7.4 Determinants Section 7.5 Cramer's Rule Exploring Concepts with Technology: Stochastic Matrices 8. Sequences, Series, and Probability Section 8.1 Infinite Sequences and Summation Notation Section 8.2 Arithmetic Sequences and Series Section 8.3 Geometric Sequences and Series Section 8.4 Mathematical Induction Section 8.5 The Binomial Theorem Section 8.6 Permutations and Combinations Section 8.7 Introduction to Probability Exploring Concepts with Technology: Mathematical Expectation Solutions to the Try Exercises Answers to Selected Exercises Index
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