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A Collection of Problems in Differential Calculus:
Problems from Calculus I Final Examinations, 2000-2020 Department of Mathematics, Simon Fraser University
Veselin Jungic – Petra Menz – Randall Pyke
Contents
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Contents
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Front Matter
Colophon
Dedication
Acknowledgements
Preface
1
Limits and Continuity
Introduction
Limits
Continuity
Miscellaneous
2
Differentiation Rules
Introduction
Derivatives
Related Rates
Tangent Lines and Implicit Differentiation
3
Applications of Differentiation
Introduction
Curve Sketching
Optimization
Mean Value Theorem
Linear Approximation and Newton's Method
Antiderivatives and Differential Equations
Exponential Growth and Decay
Miscellaneous
4
Parametric Equations and Polar Coordinates
Introduction
Parametric Curves
Polar Coordinates
Conic Sections
5
True or False and Multiple Choice Problems
True Or False
Multiple Choice
6
Recommendations for Success in Mathematics
Tips for Reading these Recommendations
Habits of a Successful Student
How to Prepare for Exams
Getting and Staying Connected
Staying Healthy
Resources
Back Matter
Bibliography
Authored in PreTeXt
Dedication
Dedication
To my sons, my best teachers.
- Veselin Jungic