| Lecture | Section | Topic |
|---|---|---|
| 1 | 2.1 | The Tangent and Velocity Problems |
| 2 | 2.2 | The Limit of a Function |
| 3 | 2.3 | Calculating Limits using the Limit Laws |
| 4 | 2.4 | Continuity |
| 5 | 2.5 | Limits involving Infinity |
| 6 | 2.6 | Tangents, Velocities, and Other Rates of Change |
| 7 | 2.7 | Derivatives |
| 8 | 2.8 | The Derivative as a Function |
| 9 | 2.9 | Linear Approximations |
| 10 | 2.10 | What does f' say about f ? |
| 11 | Exam | |
| 12 | 3.1 | Derivatives of Polynomials and Exponential Functions |
| 13 | 3.2 | The Product and Quotient Rules |
| 14 | 3.3 | Rates of Change in the Natural and Social Sciences |
| 15 | 3.4 | Derivatives of Trigonometric Functions |
| 16 | 3.5 | The Chain Rule |
| 17 | 3.6 | Implicit Differentiation |
| 18 | 3.7 | Derivatives of Logarithmic Functions |
| 19 | 3.8 | Linear Approximations and Differentials |
| 20 | 4.1 | Related Rates |
| 21 | 4.2 | Maximum and Minimum Values |
| 22 | Exam | |
| 23 | 4.3 | Derivatives and the Shapes of Curves |
| 24 | 4.5 | Indeterminate Forms and l'Hospital's Rule |
| 25-6 | 4.6 | Optimization Problems |
| 27 | 4.8 | Newton's Method |
| 28 | 4.9 | Antiderivatives |
Outline: D. Cohen 7/98
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