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.
Topic | LaTeX File (Compressed archive including .tex files and images) | PDF File |
---|---|---|
Constant Rates of Change | LaTeX Files | PDF File |
Graphing Constant Rate of Change | LaTeX Files | PDF File |
Varying Rates of Change | LaTeX Files | PDF File |
Graphing Varying Rates of Change | LaTeX Files | PDF File |
Average Rates of Change | LaTeX Files | PDF File |
Approximating Instantaneous Rates of Change | LaTeX Files | PDF File |
Continuity | LaTeX Files | PDF File |
Differentiability and Local Linearity | LaTeX Files | PDF File |
Limit at a Point | LaTeX Files | PDF File |
Limit Laws | LaTeX File | PDF File |
Limit Definition of Derivative | LaTeX File | PDF File |
Using the Limit Definition of Derivative | LaTeX File | PDF File |
Interpreting Derivatives | LaTeX File | PDF File |
Slopes of Secant and Tangent Lines | LaTeX Files | PDF File |
Graphing Derivatives | LaTeX Files | PDF File |
Basic Derivative Rules | LaTeX File | PDF File |
The Product Rule | LaTeX Files | PDF File |
The Quotient Rule | --- | -- |
The Chain Rule | LaTeX File | PDF File |
l'Hopital's Rule | LaTeX File | PDF File |
Mean Value Theorem | LaTeX File | PDF File |
Related Rates | LaTeX Files | PDF File |
Implicit Differentiation | LaTeX File | PDF File |
Introduction to Optimization | LaTeX Files | PDF File |
Optimization: Algebraic Modeling | LaTeX Files | PDF File |
Introduction to Riemann Sums | LaTeX Files | PDF File |
Riemann Sum Notation | LaTeX File | PDF File |
Definite Integrals | LaTeX Files | PDF File |
Antiderivatives | LaTeX File | PDF File |
The Fundamental Theorem of Calculus, Part 1 | LaTeX File | PDF File |
The Fundamental Theorem of Calculus, Part 2 | LaTeX Files | PDF File |
U-Substitution | LaTeX File | PDF File |