Problems

Below are problems for each topic that can be used to support in-class problem-solving and discussion, or can be assigned for homework.

These problems should be available by August 17th.

TopicLaTeX File (Compressed archive including .tex files and images)PDF File
Constant Rates of ChangeLaTeX FilesPDF File
Graphing Constant Rate of ChangeLaTeX FilesPDF File
Varying Rates of ChangeLaTeX FilesPDF File
Graphing Varying Rates of ChangeLaTeX FilesPDF File
Average Rates of ChangeLaTeX FilesPDF File
Approximating Instantaneous Rates of ChangeLaTeX FilesPDF File
ContinuityLaTeX FilesPDF File
Differentiability and Local LinearityLaTeX FilesPDF File
Limit at a PointLaTeX FilesPDF File
Limit LawsLaTeX FilePDF File
Limit Definition of DerivativeLaTeX FilePDF File
Using the Limit Definition of DerivativeLaTeX FilePDF File
Interpreting DerivativesLaTeX FilePDF File
Slopes of Secant and Tangent LinesLaTeX FilesPDF File
Graphing DerivativesLaTeX FilesPDF File
Basic Derivative RulesLaTeX FilePDF File
The Product RuleLaTeX FilesPDF File
The Quotient Rule-----
The Chain RuleLaTeX FilePDF File
l'Hopital's RuleLaTeX FilePDF File
Mean Value TheoremLaTeX FilePDF File
Related RatesLaTeX FilesPDF File
Implicit DifferentiationLaTeX FilePDF File
Introduction to OptimizationLaTeX FilesPDF File
Optimization: Algebraic ModelingLaTeX FilesPDF File
Introduction to Riemann SumsLaTeX FilesPDF File
Riemann Sum NotationLaTeX FilePDF File
Definite IntegralsLaTeX FilesPDF File
AntiderivativesLaTeX FilePDF File
The Fundamental Theorem of Calculus, Part 1LaTeX FilePDF File
The Fundamental Theorem of Calculus, Part 2LaTeX FilesPDF File
U-SubstitutionLaTeX FilePDF File