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Full Product Details

Author:   Raymond Barnett ,  Michael Ziegler ,  Karl Byleen ,  David Sobecki
Publisher:   McGraw-Hill Education - Europe
Imprint:   McGraw-Hill Professional
Edition:   3rd edition
Dimensions:   Width: 20.80cm , Height: 4.60cm , Length: 25.90cm
Weight:   2.354kg
ISBN:  

9780077221294

ISBN 10:   007722129
Pages:   1184
Publication Date:   16 March 2008
Audience:   Adult education ,  Further / Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of 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 TRIGONOMETRIC FUNCTIONS 5-1 Angles and Their Measure 5-2 Trigonometric Functions: A Unit Circle Approach 5-3 Solving Right Triangles 5-4 Properties of Trigonometric Functions 5-5 More General Trigonometric Functions and and Models 5-6 Inverse Trigonometric Functions Chapter 5 Review Chapter 5 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer CHAPTER 6 TRIGONOMETRIC IDENTITIES AND CONDITIONAL EQUATIONS 6-1 Basic Identities and Their Use 6-2 Sum, Difference, and Cofunction Identities 6-3 Double-Angle and Half-Angle Identities 6-4 Product-Sum and Sum-Product Identities 6-5 Trigonometric Equations Chapter 6 Review Chapter 6 Group Activity: From M sin Bt + N cos Bt to A sin (Bt + C) - A Harmonic Analysis Tool CHAPTER 7 ADDITIONAL TOPICS IN TRIGONOMETRY 7-1 Law of Sines 7-2 Law of Cosines 7-3 Vectors in the Plane 7-4 Polar Coordinates and Graphs 7-5 Complex Numbers and De Moivre's Theorem Chapter 7 Review Chapter 7 Group Activity: Conic Sections and Planetary Orbits Cumulative Review Exercise for Chapters 5, 6, and 7 CHAPTER 8 MODELING WITH SYSTEMS OF EQUATIONS AND INEQUALITIES 8-1 Systems of Linear Equations in Two Variables 8-2 Systems of Linear Equations in Three Variables 8-3 Systems of Linear Inequalities 8-4 Linear Programming Chapter 8 Review Chapter 8 Group Activity: Modeling with Systems of Equations CHAPTER 9 MATRICES AND DETERMINANTS 9-1 Matrix Solutions to Linear Systems 9-2 Matrix Operations 9-3 Inverse of a Square Matrix 9-4 Matrix Equations and Systems of Linear Equations 9-5 Determinants 9-6 Properties of Determinants 9-7 Determinants and Cramer's Rule Chapter 9 Review Chapter 9 Group Activity: Using Matrices to Find Cost, Revenue, and Profit Cumulative Review Exercise for Chapters 8 and 9 CHAPTER 10 SEQUENCES, INDUCTION, PROBABILITY 10-1 Sequences and Series 10-2 Mathematical Induction 10-3 Arithmetic and Geometric Sequences 10-4 Multiplication Principle, Permutations, and Combinations 10-5 Sample Spaces and Probability 10-6 Binomial Formula Chapter 10 Review Chapter 10 Group Activity: Sequences Specified by Recursion Formulas CHAPTER 11 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY 11-1 Conic Sections; Parabola 11-2 Ellipse 11-3 Hyperbola 11-4 Translation and Rotation of Axes 11-5 Systems of Nonlinear Equations Chapter 11 Review Chapter 11 Group Activity: Focal Chords Cumulative Review Exercise for Chapters 10 and 11 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 Parametric Equations Appendix D GEOMETRIC FORMULAS

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I was born and raised in Cleveland, and started college at Bowling Green State University in 1984 majoring in creative writing. Eleven years later, I walked across the graduation stage to receive a PhD in math, a strange journey indeed. After two years at Franklin and Marshall College in Pennsylvania, I came home to Ohio, accepting a tenure-track job at the Hamilton campus of Miami University. I’ve won a number of teaching awards in my career, and while maintaining an active teaching schedule, I now spend an inordinate amount of time writing textbooks and course materials. I’ve written or co-authored either seven or twelve textbooks, depending on how you count them, as well as several solutions manuals and interactive CD-ROMS. After many years as developmental math coordinator at Miami Hamilton, I share the frustration that goes along with low pass rates in the developmental math curriculum. Far too many students end up on the classic Jetson’s-style treadmill, with the abstract nature of the traditional algebra curriculum keeping them from reaching their goals. Like so many instructors across the country, I believe the time is right to move beyond the one-size-fits-all curriculum that treats students the same whether they hope to be an engineer or a pastry chef. “Because we’ve always done it that way” is NOT a good reason to maintain the status quo in our curriculum. Let’s work together to devise alternate pathways that help students to learn more and learn better while hastening their trip into credit-bearing math courses. Since my book (Math in Our World) is written for the Liberal Arts Math and Quantitative Literacy market, I think I’m in the right place at the right time to make a difference in the new and exciting pathways course. I’m in a very happy place right now: my love of teaching meshes perfectly with my childhood dream of writing. (Don’t tell my publisher this – they think I spend 20 hours a day working on textbooks – but I’m working on my first novel in the limited spare time that I have.) I’m also a former coordinator of Ohio Project NExT, as I believe very strongly in helping young college instructors focus on high-quality teaching as a primary career goal. I live in Fairfield, Ohio with my lovely wife Cat and fuzzy dogs Macleod and Tessa. When not teaching or writing, my passions include Ohio State football, Cleveland Indians baseball, heavy metal music, travel, golf, and home improvement.

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