Math 120 — Differential and Integral Calculus

Assignments are due on Tuesday, by 22:00.


  Date Topic Book Homework Practice Problems
Jan. 9 Definition of the integral  
11 Properties of Integrals §5.2   41, 43, 47, 53
12 Fundamental Theorem of Calculus I §5.3   3, 7, 9, 17
16 Fundamental Theorem of Calculus II §5.3 H13 19, 33, 41, 43
18 Cardinality A13
19 Riemann sums and finding the integral
23 More finding the integral H14
25 Indefinite integrals and substitution §5.5 A14 7, 27, 51, 67
26 Integration by Parts §7.1 7, 13, 23, 33
30 More Integration by Parts H15
Feb. 1 Using Identities §7.2 A15 5, 11, 31
2 Partial Fractions §7.4 1, 3, 19, 33
6 Improper Integrals §7.8 H16 11, 21, 27, 33
8 More Improper Integrals A16
9 In-class exam #3
13 Volume §6.2–§6.3 H17 §6.2: 17, 19, 23
15 Probability §8.5 A17 1, 3, 7, 19
16 Work §6.4 1, 14, 19
20
22 Reading Week
23
27 Parametric Curves §10.1 H18 5, 9, 25, 33
Mar. 1 Arclengths §8.1 A18
2 Sequences §11.1 9, 13, 25, 43
6 More Sequences §11.1 H19 51, 63, 65, 69
8 Series §11.2 A19 9, 11, 17, 19
9 Integral Test §11.3 7, 11, 21, 23
13 Comparison Test §11.4 H20 5, 15, 17, 29
15 Limit Comparison §11.4 A20
16 In-class exam #4
20 Ratio Test §11.6 H21 5, 13, 17, 21
22 Alternating Series §11.5 A21 5, 7, 11, 19
23 Rearrangement of series
27 Power Series §11.9 H22 5, 7, 11
29 Convergence of Power Series §11.9 A22 13, 17, 21, 23
30 Taylor Series §11.10 13, 33, 47, 55
Apr. 3 Finding Taylor Series §11.10 H23
5 Taylor's theorem A23
6 Some applications of Taylor series
10   H24
 
12   A24