
Calculus
Single and Multivariable
- 1,216 pages
- English
- PDF
- Available on iOS & Android
About this book
Calculus: Single and Multivariable, 8th Edition teaches calculus in a way that promotes critical thinking to reveal solutions to mathematical problems while highlighting the practical value of mathematics. From the Calculus Consortium based at Harvard University, this leading text reinforces the conceptual understanding students require to reduce complicated problems to simple procedures. In this new edition, the authors retain their emphasis on the Rule of Fourâviewing problems graphically, numerically, symbolically, and verballyâwith a special focus on introducing different perspectives for students with different learning styles.
The ideal textbook for promoting active learning in a 'flipped' classroom, Calculus engages students across multiple majors by providing a variety of problems with applications from the physical sciences, economics, health, biology, engineering, and economics. Throughout the text, the Consortium brings calculus to life with current and relevant examples and numerous opportunities to master key mathematical concepts and skills. The eighth edition includes new graphing questions and visualizations powered by GeoGebraâenabling complex, multi-part questions that reinforce the Rule of Four and strengthen student comprehension.
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Information
Table of contents
- Cover
- FES
- Title Page
- Copyright
- Preface
- Contents
- CHAPTER 1: FOUNDATION FOR CALCULUS: FUNCTIONS AND LIMITS
- CHAPTER 2: KEY CONCEPT: THE DERIVATIVE
- CHAPTER 3: SHORT-CUTS TO DIFFERENTIATION
- CHAPTER 4: USING THE DERIVATIVE
- CHAPTER 5: KEY CONCEPT: THE DEFINITE INTEGRAL
- CHAPTER 6: CONSTRUCTING ANTIDERIVATIVES
- CHAPTER 7: INTEGRATION
- CHAPTER 8: USING THE DEFINITE INTEGRAL
- CHAPTER 9: SEQUENCES AND SERIES
- CHAPTER 10: APPROXIMATING FUNCTIONS USING SERIES
- CHAPTER 11: DIFFERENTIAL EQUATIONS
- CHAPTER 12: FUNCTIONS OF SEVERAL VARIABLES
- CHAPTER 13: A FUNDAMENTAL TOOL: VECTORS
- CHAPTER 14: DIFFERENTIATING FUNCTIONS OF SEVERAL VARIABLES
- CHAPTER 15: OPTIMIZATION: LOCAL AND GLOBAL EXTREMA
- CHAPTER 16: INTEGRATING FUNCTIONS OF SEVERAL VARIABLES
- CHAPTER 17: PARAMETERIZATION AND VECTOR FIELDS
- CHAPTER 18: LINE INTEGRALS
- CHAPTER 19: FLUX INTEGRALS AND DIVERGENCE
- CHAPTER 20: THE CURL AND STOKESâ THEOREM
- CHAPTER 21: PARAMETERS, COORDINATES, AND INTEGRALS
- APPENDICES Online
- READY REFERENCE
- ANSWERS TO ODD NUMBERED PROBLEMS
- INDEX
- EULA