Assignments are due on Tuesday, by 22:00.
| Date | Topic | Book | Homework | Practice Problems | ||
|---|---|---|---|---|---|---|
| Sept. | 3 | Introduction to the course | ||||
| 4 | The Language of Sets | |||||
| 8 | Functions and related terminology | §1.1 | H1 | §1.1: 1, 25, 31. §1.3: 13, 37. | ||
| 10 | Inequalities | §A | A1 | 25, 33, 45 | ||
| 11 | The Triangle inequality | §A | 53, 61, 67 | |||
| 15 | Estimation Practice | H2 | ||||
| 17 | Limits | §2.4 | A2 | §2.2: 7, 13. §2.4: 1, 3 | ||
| 18 | ε–δ Proofs | §2.4 | 17, 19, 21 | |||
| 22 | Some Limit Theorems | §2.3 | H3 | 1, 3, 7, 37 | ||
| 24 | More Limit Theorems | §2.3 | A3 | |||
| 25 | The Squeeze Theorem | §2.3 | 17, 21, 25, 35 | |||
| 29 | Asymptotes | §2.6 | H4 | 15, 17, 31 | ||
| Oct. | 1 | Continuity | §2.5 | A4 | 31, 37, 41 | |
| 2 | In-class exam #1 | |||||
| 6 | Theorems about continuous functions | §2.5 | H5 | 45, 47, 51 | ||
| 8 | Derivatives | §2.7 | A5 | 15, 17, 19 | ||
| 9 | Differentiation | §3.1 | 7, 8, 9, 10 | |||
| 13 | ||||||
| 15 | Fall Mid-Term Break | |||||
| 16 | ||||||
| 20 | Differentiation Rules! | §3.2 | H6 | 7, 8, 13, 14, 25 | ||
| 22 | Trigonometric Functions | §3.3 | A6 | 11, 33, 35 | ||
| 23 | The Chain Rule | §3.4 | 9, 25, 35 | |||
| 27 | Differentiating Exponential Functions | §3.5 | H7 | 1, 3, 21 | ||
| 29 | Implicit Functions | §3.6 | A7 | 9, 19, 25 | ||
| 30 | Differentiating Inverse Functions | §3.6 | 9, 19, 25 | |||
| Nov. | 3 | Related Rates | §3.5 | H8 | 11, 25, 33 | |
| 5 | Extremal Values | §4.1 | A8 | 3, 9, 13, 31 | ||
| 6 | In-class exam #2 | |||||
| 10 | Optimization | §4.7 | H9 | 11, 33, 55 | ||
| 12 | MVT | §4.7 | A9 | |||
| 13 | L'Hopital's Rule | |||||
| 17 | Increasing and decreasing functions | §4.3 | H10 | 5, 53 | ||
| 19 | Convexity | §4.3 | A10 | 1, 7, 15 | ||
| 20 | Convexity II | §4.3 | ||||
| 24 | Convexity and applications to optimization | H11 | ||||
| 26 | Curve Sketching | §4.5 | A11 | 11, 41, 49 | ||
| 27 | Definite Integrals I | §5.1 | 1, 11, 13, 15 | |||
| Dec. | 1 | Definite Integrals II | §5.2 | H12 | 7, 33, 37, 51 | |
| 7 | A12 | |||||