- 571 pages
- English
- PDF
- Available on iOS & Android
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.
Trusted by 375,005 students
Access to over 1 million titles for a fair monthly price.
Study more efficiently using our study tools.
Key takeaways
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.
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.
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.
Information
Table of contents
- COVER
- TITLE PAGE
- COPYRIGHT
- PREFACE
- APPLICATIONS INDEX
- CONTENTS
- CHAPTER 1: FUNCTIONS AND CHANGE
- CHAPTER 2: RATE OF CHANGE: THE DERIVATIVE
- CHAPTER 3: SHORTCUTS TO DIFFERENTIATION
- CHAPTER 4: USING THE DERIVATIVE
- CHAPTER 5: ACCUMULATED CHANGE: THE DEFINITE INTEGRAL
- CHAPTER 6: ANTIDERIVATIVES AND APPLICATIONS
- CHAPTER 7: PROBABILITY
- CHAPTER 8: FUNCTIONS OF SEVERAL VARIABLES
- CHAPTER 9: MATHEMATICALMODELING USING DIFFERENTIAL EQUATIONS
- CHAPTER 10: GEOMETRIC SERIES
- APPENDIX
- ANSWERS TO ODD-NUMBERED PROBLEMS
- INDEX
- EULA
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app