Skip to main content
\(\newcommand{\Quo}{\textbf{Quote.~}} \newcommand{\Com}{\textbf{Comic.~}} \newcommand{\Def}{\textbf{Definition.~}} \newcommand{\Exm}{\textbf{Example.~}} \newcommand{\Rem}{\textbf{Reminder.~}} \newcommand{\Hmk}{\textbf{Homework.~}} \newcommand{\Nota}{\textbf{Notation.~}} \newcommand{\ds}{\displaystyle} \def\aa{\textbf{a}} \def\bb{\textbf{b}} \def\cc{\textbf{c}} \def\dd{\textbf{d}} \def\xx{\textbf{x}} \def\zv{\textbf{0}} \def\rr{\textbf{r}} \def\vv{\textbf{v}} \def\xx{\textbf{x}} \def\qq{\textbf{q}} \def\rr{\textbf{r}} \def\vv{\textbf{v}} \def\xx{\textbf{x}} \def\yy{\textbf{y}} \def\qq{\textbf{q}} \def\pp{\textbf{p}} \def\eee{\textbf{e}} \def\ii{\textbf{i}} \def\jj{\textbf{j}} \def\kk{\textbf{k}} \def\nn{\textbf{n}} \newcommand{\twovec}[2]{\left[\begin{array}{c} #1\\ #2 \end{array}\right] } \newcommand{\threevec}[3]{\left[\begin{array}{c} #1\\ #2\\ #3 \end{array}\right] } \def\R{\mathbb{ R}} \def\S{\mathbb{ S}} \def\I{\mathbb{ I}} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \)
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
Calc
Prev
Up
Next
Contents
Prev
Up
Next
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
6
Answers, Hints, Solutions
Limits
Continuity
Miscellaneous
Derivatives
Related Rates
Tangent Lines and Implicit Differentiation
Curve Sketching
Optimization
Mean Value Theorem
Linear Approximation and Newton's Method
Antiderivatives and Differential Equations
Exponential Growth and Decay
Miscellaneous
Parametric Curves
Polar Coordinates
Conic Sections
True Or False and Multiple Choice Problems
7
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
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
Department of Mathematics
Simon Fraser University
July 23, 2020
Colophon
Dedication
Acknowledgements
Preface