Assignments are due on Tuesday, by 22:00.
| Date | Topic | Book | Homework | Practice Problems | ||
|---|---|---|---|---|---|---|
| Sept. | 7 | Introduction to the course | ||||
| 8 | The Language of Sets | |||||
| 12 | Functions and related terminology | §1.1 | H1 | §1.1: 1, 25, 31. §1.3: 13, 37. | ||
| 14 | Inequalities | §A | A1 | 25, 33, 45 | ||
| 15 | The Triangle inequality | §A | 53, 61, 67 | |||
| 19 | Limits | §2.4 | H2 | §2.2: 7, 13. §2.4: 1, 3 | ||
| 21 | ε–δ Proofs | §2.4 | A2 | 17, 19, 21 | ||
| 22 | Some Limit Theorems | §2.3 | 1, 3, 7, 37 | |||
| 26 | The Squeeze Theorem | §2.3 | H3 | 17, 21, 25, 35 | ||
| 28 | Asymptotes | §2.6 | A3 | 15, 17, 31 | ||
| 29 | Continuity | §2.5 | 31, 37, 41 | |||
| Oct. | 3 | Theorems about continuous functions | §2.5 | H4 | 45, 47, 51 | |
| 5 | Derivatives | §2.7 | A4 | 15, 17, 19 | ||
| 6 | In-class exam #1 | |||||
| 10 | ||||||
| 12 | Fall Mid-Term Break | |||||
| 13 | ||||||
| 17 | Differentiation | §3.1 | H5 | 7, 8, 9, 10 | ||
| 19 | Differentiation Rules! | §3.2 | A5 | 7, 8, 13, 14, 25 | ||
| 20 | Trigonometric Functions | §3.3 | 11, 33, 35 | |||
| 24 | The Chain Rule | §3.4 | H6 | 9, 25, 35 | ||
| 26 | Differentiating Exponential Functions | §3.5 | A6 | 1, 3, 21 | ||
| 27 | Implicit Functions | §3.6 | 9, 19, 25 | |||
| 31 | Differentiating Inverse Functions | §3.6 | H7 | 9, 19, 25 | ||
| Nov. | 2 | Related Rates | §3.5 | A7 | 11, 25, 33 | |
| 3 | Extremal Values | §4.1 | 3, 9, 13, 31 | |||
| 7 | Optimization | §4.7 | H8 | 11, 33, 55 | ||
| 9 | MVT | §4.7 | A8 | |||
| 10 | In-class exam #2 | |||||
| 14 | L'Hopital's Rule | H9 | ||||
| 16 | Increasing and decreasing functions | §4.3 | A9 | 5, 53 | ||
| 17 | Convexity | §4.3 | 1, 7, 15 | |||
| 21 | Convexity II | §4.3 | H10 | |||
| 23 | Convexity and applications to optimization | A10 | ||||
| 24 | Curve Sketching | §4.5 | 11, 41, 49 | |||
| 28 | Definite Integrals I | §5.1 | H11 | 1, 11, 13, 15 | ||
| 30 | Definite Integrals II | §5.2 | A11 | 7, 33, 37, 51 | ||
| Dec. | 1 | |||||
| 5 | ; | H12 | ||||
| 7 | A12 | |||||