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 |