General information.
Classroom: 3107 Etcheverry.
Class time: 10 am - 12 pm MTWThF.
Office location: 835 Evans hall.
Office hours: 9-10 MW & 5-6 W.
Email: mshea at berkeley dot edu.
Textbook: Stewart
Single Variable Calculus: Early Transcendentals for UC Berkeley, 8th ed. (ISBN: 9781305765276).
Note: All homework problems listed for the week are due the following Monday. Homework problems come from the ``exercises'' section, unless otherwise stated.
Exam 2 review material:
Exam 2 review worksheet
Exam 2 practice
Exam 3 review material:
Exam 3 review worksheet (* for 5 & 6 on page 3 compute only the first 4 terms of the series! *)
Exam 3 practice
Final review material:
Blank exam 1,
solutions.
Differential equations review worksheet
General review worksheet
| Lecture No. |
Date |
Topic |
Supp. mat. |
Book ref. |
HW problems |
| 1 |
6/24 |
Introduction & review of math 1a. |
|
5.5 |
5.5: 7-9, 21-24, 68. |
| 2 |
6/25 |
Integration by parts Quiz. |
|
7.1 |
7.1: 20-22, 41, 42, 52. |
| 3 |
6/26 |
Integration of rational functions |
|
7.4 |
|
| 4 |
6/27 |
Intregration of rational functions, cont'd Quiz. |
|
7.4 |
7.4: 12-14, 27, 28, 44. |
| 5 |
6/28 |
Trigonometric integrals |
Completing the square |
7.2 |
7.2: 2, 10, 11, 21-23, 44. |
|
|---|
|
| 6 |
7/1 |
Trigonometric substitution Homework due. |
|
7.3 |
7.3: 4, 8, 15, 22, 24, 26, 40. |
| 7 |
7/2 |
Tips and strategies of integration & review Quiz. |
|
7.5 |
7.5: 12, 14, 19, 41, 45, 54, 81. |
| 8 |
7/3 |
Exam 1: integration techniques |
|
7.1-7.5 |
|
| 9 |
7/5 |
Improper integrals |
|
7.8 |
|
|
|---|
|
| 10 |
7/8 |
Comparison test for integrals Homework due. |
|
7.8 |
7.8: 6, 8, 38-40, 49-54. |
11 |
7/9 |
Arc length & surface of revolution Quiz. |
|
8.1, 8.2 |
8.1: 11, 14, 18, 20. 8.2: 11, 12, 14, 17, 18. |
12 |
7/10 |
Sequence definition & convergence |
|
11.1 |
11.1: 3-6, 14, 18, 25-30, 50-52. |
13 |
7/11 |
Applications of sequences Quiz. |
|
|
|
14 |
7/12 |
Series |
|
11.2 |
11.2: 5, 22-24, 34, 35, 57. |
|
|---|
|
15 |
7/15 |
Integral test & sum estimation Homework due. |
|
11.3 |
11.3: 15-20, 28. |
16 |
7/16 |
Review for exam 2 Quiz. |
|
|
|
17 |
7/17 |
Exam 2: improper integrals, applications of integrals, sequences, & series |
|
|
|
18 |
7/18 |
Direct comparison test |
|
11.4 |
| Limit comparison test
x |
19 |
7/19 |
Limit comparison test |
x |
11.4 |
11.4: 3-5, 21-25, 32. |
|
|---|
|
20 |
7/22 |
Alternating series Homework due. |
|
11.5 |
11.5: 8, 12-14, 19, 20. |
21 |
7/23 |
Absolute convergence, ratio & root test Quiz. |
|
11.6 |
11.6: 13, 14, 19, 20, 27, 30, 37, 38. |
22 |
7/24 |
Strategies for testing series convergence |
|
11.7 |
11.7: 1-5, 14, 17, 21, 32, 34, 36, 38. |
23 |
7/25 |
Power series Quiz. |
|
11.8 |
11.8: 4, 6, 11-15, 30, 41. |
24 |
7/26 |
Representing functions as power series |
|
11.9 |
11.9: 5, 7, 8, 10, 13, 18-20, 34. |
|
|---|
|
25 |
7/29 |
Taylor series Homework due. |
|
11.10 |
|
26 |
7/30 |
Taylor series, cont'd Quiz. |
|
11.10 |
11.10: 11-14, 37-39, 61, 73-75. |
27 |
7/31 |
Applictions of Taylor series |
|
|
|
28 |
8/1 |
Review for exam 3 Quiz. |
|
|
|
29 |
8/2 |
Exam 3: series convergence, power series, & Taylor series |
|
|
|
|
|---|
|
30 |
8/5 |
Modeling with differential equations & direction fields Homework due. |
|
9.1, 9.2 |
9.1: 1-5, 15. 9.2: 3-6, 11-14, 18. |
31 |
8/6 |
Separable equations & applications Quiz. |
|
9.3, 9.4 |
9.3: 3-5, 10, 12, 14, 15, 39. 9.4: 5, 6, 18. |
32 |
8/7 |
Linear equations |
|
9.5 |
9.5: 5-7, 10, 17, 18, 35. |
33 |
8/8 |
Second order, homogeneous differenial equations Quiz. |
|
17.1 |
17.1: 5-10, 18-20, 30-32. |
34 |
8/9 |
Second order nonhomogeneous differential equations |
|
17.2 |
|
|
|---|
|
35 |
8/12 |
Second order nonhomogeneous differential equations, cont'd Homework due. |
|
17.2 |
17.2: 4, 6, 8, 10, 23-26. (will not turn in). |
36 |
8/13 |
Review for final exam |
|
|
|
37 |
8/14 |
Review for final exam |
|
|
|
38 |
8/15 |
Final exam |
|
|
|
|