Precalculus

7. Auflage 2010
ISBN: 978-0-07-734991-2
Verlag: McGraw-Hill Education

Buch, Englisch, 944 Seiten, Format (B × H): 224 mm x 282 mm, Gewicht: 2138 g

The Barnett, Ziegler, Byleen, and Sobecki College Algebra series is designed to be user friendly and to maximize student comprehension by emphasizing computational skills, ideas, and problem solving as opposed to mathematical theory. Suitable for either one or two semester college algebra with trigonometry or precalculus courses, Precalculus introduces a unit circle approach to trigonometry and includes a chapter on limits to provide students with a solid foundation for calculus concepts. 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.

Autoren/Hrsg.

Barnett, Raymond

Ziegler, Michael

Byleen, Karl

Sobecki, David

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis

Inhaltsverzeichnis

Precalculus 7e CHAPTER R: BASIC ALGEBRAIC OPERATIONS R-1Algebra and Real Numbers R-2Exponents and Radicals R-3Polynomials: Basic Operations and Factoring R-4Rational Expressions: Basic Operations Chapter R Review CHAPTER 1: EQUATIONS AND INEQUALITIES 1-1Linear Equations and Applications 1-2Linear Inequalities 1-3Absolute Value 1-4Complex Numbers 1-5Quadratic Equations and Applications 1-6Equations Involving Radicals Chapter 1 Group Activity: Solving a Cubic Equation Chapter 1 Review CHAPTER 2: GRAPHS 2-1Rectangular Coordinates 2-2Distance in the Plane 2-3Equations of a Line 2-4Linear Equations and Models Chapter 2 Group Activity: Rates of Change Chapter 2 Review CHAPTER 3: FUNCTIONS 3-1Functions 3-2Graphing Functions 3-3Transformations of Functions 3-3Quadratic Functions 3-5Combining Functions; Composition 3-6Inverse 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 4-1Polynomial Functions And Models 4-2Real Zeros and Polynomial Inequalities 4-3Complex Zeros and Rational Zeros of Polynomials 4-4Rational Functions and Inequalities 4-5Variation and Modeling Chapter 4 Group Activity: Interpolating Polynomials Chapter 4 Review CHAPTER 5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS 5-1Exponential Functions 5-2Exponential Models 5-3Logarithmic Functions 5-4Logarithmic Models 5-5Exponential and Logarithmic Equations Chapter 5 Group Activity: Growth of Increasing Functions Chapter 5 Review 4 & 5 Cumulative Review Exercises CHAPTER 6: TRIGONOMETRIC FUNCTIONS 6-1Angles and Their Measure 6-2Trigonometric Functions: A Unit Circle Approach 6-3Solving Right Triangles 6-4Trigonometric Functions: Properties and Graphs 6-5More General Trigonometric Functions 6-6Inverse 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 7-1Basic Identities and Their Use 7-2Sum, Difference, and Cofunction Identities 7-3Double-Angle and Half-Angle Identities 7-4Product-Sum and Sum-Product Identities 7-5Trigonometric 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 8-1Law of Sines 8-2Law of Cosines 8-3Vectors in the Plane 8-4Polar Coordinates and Graphs 8-5Complex 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 9-1Conic Sections; Parabola 9-2Ellipse 9-3Hyperbola 9-4Rotation of Axes Chapter 9 Group Activity: Focal Chords Chapter 9 Review CHAPTER 10: SYSTEMS OF EQUATIONS AND INEQUALITIES; MATRICES 10-1Systems of Linear Equations 10-2Solving Linear Systems Using Gauss-Jordan Elimination 10-3Matrix Operations 10-4Solving Linear Systems Using Inverse Matrices 10-5Determinants and Cramer's Rule Chapter 10 Group Activity: Modeling with Systems of Linear Equations 10-6Systems of Nonlinear Equations 10-7Systems of Linear Inequalities 10-8Linear Programming Chapter 10 Review CHAPTER 11: SEQUENCES AND SERIES 11-1Sequences and Series 11-2Mathematical Induction 11-3Arithmetic and Geometric Sequences 11-4Counting Techniques: Multiplication Principle, Permutations, and Combinations 11-5Sample Spaces and Probability 11-6Binomial 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 12-1Introduction to Limits 12-2Computing Limits Algebraically 12-3Limits at Infinity 12-4The Derivative 12-5Area and Calculus Chapter 12 Group Activity: Derivatives of Exponential and Log Functions Chapter 12 Review APPENDIX A: SPECIAL TOPICS A-1Scientific Notation and Significant Digits A-2Partial Fractions A-3Parametric Equations APPENDIX B B-1Geometric Formulas

Über Autor(innen)

Sobecki, David
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. Ive 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. Ive 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 Jetsons-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 weve always done it that way is NOT a good reason to maintain the status quo in our curriculum. Lets 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 Im in the right place at the right time to make a difference in the new and exciting pathways course. Im in a very happy place right now: my love of teaching meshes perfectly with my childhood dream of writing. (Dont tell my publisher this they think I spend 20 hours a day working on textbooks but Im working on my first novel in the limited spare time that I have.) Im 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.