Assignments are due on Tuesday, by 22:00.
Date | Topic | Book | Homework | Practice Problems | ||
---|---|---|---|---|---|---|
Jan. | 5 | Definition of the integral | ||||
7 | Properties of Integrals | §5.2 | 41, 43, 47, 53 | |||
9 | Fundamental Theorem of Calculus I | §5.3 | 3, 7, 9, 17 | |||
12 | Fundamental Theorem of Calculus II | §5.3 | H13 | 19, 33, 41, 43 | ||
14 | Cardinality | A13 | ||||
15 | Riemann sums and finding the integral | |||||
19 | More finding the integral | H14 | ||||
21 | Indefinite integrals and substitution | §5.5 | A14 | 7, 27, 51, 67 | ||
22 | Integration by Parts | §7.1 | 7, 13, 23, 33 | |||
26 | More Integration by Parts | H15 | ||||
28 | Using Identities | §7.2 | A15 | 5, 11, 31 | ||
29 | Partial Fractions | §7.4 | 1, 3, 19, 33 | |||
Feb. | 2 | Improper Integrals | §7.8 | H16 | 11, 21, 27, 33 | |
4 | More Improper Integrals | A16 | ||||
5 | In-class exam #3 | |||||
9 | Volume | §6.2–§6.3 | H17 | §6.2: 17, 19, 23 | ||
11 | Probability | §8.5 | A17 | 1, 3, 7, 19 | ||
12 | Work | §6.4 | 1, 14, 19 | |||
16 | ||||||
18 | Reading Week | |||||
19 | ||||||
23 | Parametric Curves | §10.1 | H18 | 5, 9, 25, 33 | ||
25 | Arclengths | §8.1 | A18 | |||
26 | Sequences | §11.1 | 9, 13, 25, 43 | |||
Mar. | 2 | More Sequences | §11.1 | H19 | 51, 63, 65, 69 | |
4 | Series | §11.2 | A19 | 9, 11, 17, 19 | ||
6 | Integral Test | §11.3 | 7, 11, 21, 23 | |||
9 | Comparison Test | §11.4 | H20 | 5, 15, 17, 29 | ||
11 | Limit Comparison | §11.4 | A20 | |||
12 | In-class exam #4 | |||||
16 | Ratio Test | §11.6 | H21 | 5, 13, 17, 21 | ||
18 | Alternating Series | §11.5 | A21 | 5, 7, 11, 19 | ||
19 | Rearrangement of series | |||||
23 | Power Series | §11.9 | H22 | 5, 7, 11 | ||
25 | Convergence of Power Series | §11.9 | A22 | 13, 17, 21, 23 | ||
26 | Taylor Series | §11.10 | 13, 33, 47, 55 | |||
30 | Finding Taylor Series | §11.10 | H23 | |||
Apr. | 1 | Taylor's theorem | A23 | |||
2 | Some applications of Taylor series | |||||
6 | H24 | |||||
12 | A24 |