TY - BOOK AU - Barnett,Raymond A. AU - Ziegler,Michael R. AU - Byleen,Karl E. TI - College algebra: graphs and models SN - 0072424281 (acidfree paper) U1 - 512.9 22 PY - 2005/// CY - Boston PB - McGraw-Hill Higher Education KW - Algebra KW - Graphic methods N1 - Contents CHAPTER 1 FUNCTIONS, GRAPHS, AND MODELS 1-1 Using Graphing Utilities 1-2 Functions 1-3 Functions: Graphs and Properties 1-4 Functions: Graphs and Transformations 1-5 Operations on Functions; Composition 1-6 Inverse Functions Chapter 1 Review Chapter 1 Group Activity: Mathematical Modeling-Choosing a Long Distance Calling Plan CHAPTER 2 MODELING WITH LINEAR AND QUADRATIC FUNCTIONS 2-1 Linear Functions 2-2 Linear Equations and Models 2-3 Quadratic Functions 2-4 Complex Numbers 2-5 Quadratic Equations and Models 2-6 Additional Equation Solving Techniques 2-7 Solving Inequalities Chapter 2 Review Chapter 2 Group Activity: Mathematical Modeling in Population Studies Cumulative Review Exercise for Chapters 1 and 2 CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS 3-1 Polynomial Functions And Models 3-2 Polynomial Division 3-3 Real Zeros and Polynomial Inequalities 3-4 Complex Zeros and Rational Zeros of Polynomials 3-5 Rational Functions and Inequalities 3-6 Variation and Modeling Chapter 3 Review Chapter 3 Group Activity: Interpolating Polynomials CHAPTER 4 MODELING WITH EXPONENTIAL AND LOGARITHMIC FUNCTIONS 4-1 Exponential Functions 4-2 Exponential Models 4-3 Logarithmic Functions 4-4 Logarithmic Models 4-5 Exponential and Logarithmic Equations Chapter 4 Review Chapter 4 Group Activity: Comparing Regression Models Cumulative Review Exercise for Chapters 3 and 4 CHAPTER 5 MODELING WITH SYSTEMS OF EQUATIONS AND INEQUALITIES 5-1 Systems of Linear Equations in Two Variables 5-2 Systems of Linear Equations in Three Variables 5-3 Systems of Linear Inequalities 5-4 Linear ProgrammingChapter 5 Review Chapter 5 Group Activity: Modeling with Systems of Equations CHAPTER 6 MATRICES AND DETERMINANTS 6-1 Matrix Solutions to Linear Systems 6-2 Matrix Operations 6-3 Inverse of a Square Matrix 6-4 Matrix Equations and Systems of Linear Equations 6-5 Determinants 6-6 Properties of Determinants 6-7 Determinants and Cramer's Rule Chapter 6 Review Chapter 6 Group Activity: Using Matrices to Find Cost, Revenue, and Profit Cumulative Review Exercise for Chapters 5 and 6 CHAPTER 7 SEQUENCES, INDUCTION, PROBABILITY 7-1 Sequences and Series 7-2 Mathematical Induction 7-3 Arithmetic and Geometric Sequences 7-4 Multiplication Principle, Permutations, and Combinations 7-5 Sample Spaces and Probability 7-6 Binomial Formula Chapter 7 Review Chapter 7 Group Activity: Sequences Specified by Recursion Formulas Chapter 8 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY 8-1 Conic Sections; Parabola 8-2 Ellipse 8-3 Hyperbola 8-4 Systems of Nonlinear Equations Chapter 8 Review Chapter 8 Group Activity: Focal Chords Cumulative Review Exercise for Chapters 7 and 8 Appendix A BASIC ALGEBRA REVIEW A-1 Algebra and Real Numbers A-2 Exponents A-3 Radicals A-4 Polynomials: Basic Operations A-5 Polynomials: Factoring A-6 Rational Expressions: Basic Operations Appendix A Review Appendix A Group Activity: Rational Number Representations Appendix B REVIEW OF EQUATIONS AND GRAPHING B-1 Linear Equations and Inequalities B-2 Cartesian Coordinate System B-3 Basic Formulas in Analytic Geometry Appendix C SPECIAL TOPICS C-1 Significant Digits C-2 Partial Fractions C-3 Descartes' Rule of Signs C-4 Parametric Equations Appendix D GEOMETRIC FORMULAS ; Includes indexes ER -