College Algebra with Trigonometry / Edition 9

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Overview

Barnett, Ziegler, Byleen, and Sobecki’s College Algebra with Trigonometry text is designed to be user friendly and to maximize student comprehension by emphasizing computational skills, ideas, and problem solving as opposed to mathematical theory. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A MathZone site featuring algorithmic exercises, videos, and other resources accompanies the text.

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Editorial Reviews

Booknews
New edition of a text in which Barnett (author and former professor), Michael R. Ziegler and Karl E. Byleen (both professors in the mathematics, statistics, and computer science department at Marquette U.) emphasize problem solving, ideas and computational skills rather than mathematical theory. The 12 chapters omit most derivations and proofs unless their inclusion would add significant insight into a particular concept. They present concrete examples first, followed by a discussion of related general concepts and results. The included CD-ROM contains a student tutorial with extended real-world application videos, descriptive discussion, interactive diagrams, and matched problems. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780077350109
  • Publisher: McGraw-Hill Higher Education
  • Publication date: 1/19/2010
  • Edition description: New Edition
  • Edition number: 9
  • Pages: 770
  • Sales rank: 740,616
  • Product dimensions: 8.30 (w) x 10.90 (h) x 1.40 (d)

Meet the Author

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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Table of Contents

College Algebra with Trigonometry 9e CHAPTER R: BASIC ALGEBRAIC OPERATIONS R-1 Algebra and Real Numbers R-2 Exponents and Radicals R-3 Polynomials: Basic Operations and Factoring R-4 Rational Expressions: Basic Operations Chapter R Review CHAPTER 1: EQUATIONS AND INEQUALITIES 1-1 Linear Equations and Applications 1-2 Linear Inequalities 1-3 Absolute Value 1-4 Complex Numbers 1-5 Quadratic Equations and Applications 1-6 Equations Involving Radicals Chapter 1 Group Activity: Solving a Cubic Equation Chapter 1 Review CHAPTER 2: GRAPHS 2-1 Rectangular Coordinates 2-2 Distance in the Plane 2-3 Equations of a Line 2-4 Linear Equations and Models Chapter 2 Group Activity: Rates of Change Chapter 2 Review CHAPTER 3: FUNCTIONS 3-1 Functions 3-2 Graphing Functions 3-3 Transformations of Functions 3-3 Quadratic Functions 3-5 Combining Functions; Composition 3-6 Inverse Functions Chapter 3 Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan Chapter 3 Review 1, 2, & 3 Cumulative Review Exercises CHAPTER 4: POLYNOMIAL AND RATIONAL FUNCTIONS 4-1 Polynomial Functions And Models 4-2 Real Zeros and Polynomial Inequalities 4-3 Complex Zeros and Rational Zeros of Polynomials 4-4 Rational Functions and Inequalities 4-5 Variation and Modeling Chapter 4 Group Activity: Interpolating Polynomials Chapter 4 Review CHAPTER 5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS 5-1 Exponential Functions 5-2 Exponential Models 5-3 Logarithmic Functions 5-4 Logarithmic Models 5-5 Exponential and Logarithmic Equations Chapter 5 Group Activity: Growth of Increasing Functions Chapter 5 Review 4 & 5 Cumulative Review Exercises CHAPTER 6: TRIGONOMETRIC FUNCTIONS 6-1 Angles and Their Measure 6-2 Right Triangle Trigonometry 6-3 Trigonometric Functions: A Unit Circle Approach 6-4 Trigonometric Functions: Properties and Graphs 6-5 More General Trigonometric Functions 6-6 Inverse Trigonometric Functions Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer Chapter 6 Review CHAPTER 7: TRIGONOMETRIC IDENTITIES AND CONDITIONAL EQUATIONS 7-1 Basic Identities and Their Use 7-2 Sum, Difference, and Cofunction Identities 7-3 Double-Angle and Half-Angle Identities 7-4 Product-Sum and Sum-Product Identities 7-5 Trigonometric Equations Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C) - A Harmonic Analysis Tool Chapter 7 Review CHAPTER 8: ADDITIONAL TOPICS IN TRIGONOMETRY 8-1 Law of Sines 8-2 Law of Cosines 8-3 Vectors in the Plane 8-4 Polar Coordinates and Graphs 8-5 Complex Numbers and De Moivre's Theorem Chapter 8 Group Activity: Conic Sections and Planetary Orbits Chapter 8 Review 6, 7, & 8 Cumulative Review Exercises CHAPTER 9: ADDITIONAL TOPICS IN ANALYTIC GEOMETRY 9-1 Conic Sections; Parabola 9-2 Ellipse 9-3 Hyperbola 9-4 Rotation of Axes Chapter 9 Group Activity: Focal Chords Chapter 9 Review CHAPTER 10: SYSTEMS OF EQUATIONS AND INEQUALITIES; MATRICES 10-1 Systems of Linear Equations 10-2 Solving Linear Systems Using Gauss-Jordan Elimination 10-3 Matrix Operations 10-4 Solving Linear Systems Using Inverse Matrices 10-5 Determinants and Cramer's Rule Chapter 10 Group Activity: Modeling with Systems of Linear Equations 10-6 Systems of Nonlinear Equations 10-7 Systems of Linear Inequalities 10-8 Linear Programming Chapter 10 Review CHAPTER 11: SEQUENCES AND SERIES 11-1 Sequences and Series 11-2 Mathematical Induction 11-3 Arithmetic and Geometric Sequences 11-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations 11-5 Sample Spaces and Probability 11-6 Binomial Formula Chapter 11 Group Activity: Sequences Specified by Recursion Formulas Chapter 11 Review 9. 10, & 11 Cumulative Review Exercises CHAPTER 12: LIMITS: AN INTRODUCTION TO CALCULUS 12-1 Introduction to Limits 12-2 Computing Limits Algebraically 12-3 Limits at Infinity 12-4 The Derivative 12-5 Area and Calculus Chapter 12 Group Activity: Derivatives of Exponential and Log Functions Chapter 12 Review APPENDIX A: SPECIAL TOPICS A-1 Scientific Notation and Significant Digits A-2 Partial Fractions A-3 Parametric Equations APPENDIX B B-1 Geometric Formulas

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