Applied Calculus
eBook - PDF

Applied Calculus

  1. 571 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Applied Calculus

About this book

The 7th edition of Applied Calculus focuses on the "Rule of Four" (viewing problems graphically, numerically, symbolically, and verbally) to promote critical thinking to reveal solutions to mathematical problems. This approach reinforces the conceptual understanding necessary to reduce complicated problems to simple procedures without losing sight of the practical value of mathematics. In this edition, the authors continue their focus on introducing different perspectives for students with updated applications, exercises, and an increased emphasis on active learning.

Key takeaways

AI-Generated Insights
Insight 1

Apply the 'Rule of Four' (graphically, numerically, symbolically, and verbally) to analyze various types of functions and their rates of change. Calculate derivatives and integrals using appropriate formulas and techniques to solve problems involving instantaneous rates of change and accumulated quantities.

Insight 2

Utilize differential calculus to identify local and global extrema, optimize functions, and analyze economic concepts such as marginal cost and elasticity. Construct and interpret mathematical models using differential equations to represent real-world phenomena like population dynamics and disease spread.

Insight 3

Analyze functions of several variables using partial derivatives and contour diagrams to solve constrained and unconstrained optimization problems. Evaluate and apply geometric series to address problems in business, economics, and the natural sciences.

Table of contents

  1. COVER
  2. TITLE PAGE
  3. COPYRIGHT
  4. PREFACE
  5. APPLICATIONS INDEX
  6. CONTENTS
  7. CHAPTER 1: FUNCTIONS AND CHANGE
  8. CHAPTER 2: RATE OF CHANGE: THE DERIVATIVE
  9. CHAPTER 3: SHORTCUTS TO DIFFERENTIATION
  10. CHAPTER 4: USING THE DERIVATIVE
  11. CHAPTER 5: ACCUMULATED CHANGE: THE DEFINITE INTEGRAL
  12. CHAPTER 6: ANTIDERIVATIVES AND APPLICATIONS
  13. CHAPTER 7: PROBABILITY
  14. CHAPTER 8: FUNCTIONS OF SEVERAL VARIABLES
  15. CHAPTER 9: MATHEMATICALMODELING USING DIFFERENTIAL EQUATIONS
  16. CHAPTER 10: GEOMETRIC SERIES
  17. APPENDIX
  18. ANSWERS TO ODD-NUMBERED PROBLEMS
  19. INDEX
  20. EULA

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Information

Publisher
Wiley
Edition
7
Year
2022
Topic
Mathematics
Subtopic
Calculus
eBook ISBN
9781119799191
Index
Mathematics

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Yes, you can access Applied Calculus by Deborah Hughes-Hallett,Andrew M. Gleason,Daniel E. Flath,Patti Frazer Lock,Sheldon P. Gordon,David O. Lomen,David Lovelock,William G. McCallum,Brad G. Osgood,Andrew Pasquale,Jeff Tecosky-Feldman,Joseph Thrash,Karen R. Rhea,Thomas W. Tucker in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over 1.5 million books available in our catalogue for you to explore.