| Week | class |
Date | Topic | Chapter | Homework |
| 1 |
1 |
Jan 18 |
Cal 1 review |
||
| 2 |
2 |
Jan 23 |
Integration by substitution |
5.6 | S5.6 Q 9, 11, 13, 17, 19, 25, 33, 37, 41, 55, 57, 61, 71, 73, 75, 77, 81, 83, 85, 89, 91, 93 |
| 3 |
Jan 25 |
Further integrals and some applications |
5.7, 5.5, 5.8 | S5.7 Q 5-37(odd), 71, 73 |
|
| 3 |
4 |
Jan 30 |
The area between curves |
6.1 | S6.1 Q 1, 15, 17, 19, 27, 29, 33, 37, 39, 41, 47. |
| 5 |
Feb 1 |
Volume and density |
6.2 | S6.2 Q 1, 3, 5, 7, 19, 25, 27, 33 , 37, 45, 55. |
|
| 4 |
6 |
Feb 6 |
Solids of revolution |
6.3 | S6.3 Q 1, 5, 11, 13, 15, 19, 21, 29-32, 51 |
| 7 |
Feb 8 |
Integration by parts |
7.2 | S7.2 Q 7-21(odd), 35-53(odd), 70,71 |
|
| 4 |
8 |
Feb 13 |
review (sols for last year's exam) |
||
| 9 |
Feb 15 |
EXAM (solutions) | |||
| 6 |
10 |
Feb 20 |
Trig. identities | 7.3 | S7.3 Q1-31(odd) |
| 11 |
Feb 22 |
trig. substitution | 7.4 | S7.4 Q 13-25(odd), 35 |
|
| 7 |
12 |
Feb 27 |
Partial fractions | 7.6 | S7.6 Q 9, 11, 13, 19, 23, 27, 31, 33. Then try 51-61(odd). |
| 13 |
Feb 29 |
Improper integrals | 7.7 | S7.7 Q 7, 11, 15, 27, 33, 45, 47, 57, 62, 65, 67, 69, 79, 81. |
|
| 8 |
14 |
Mar 5 |
Sequences | 10.1 | S10.1 Q1-25(odd), 31-39(odd) |
| 15 |
Mar 7 |
Sequences | 10.1 | S10.1 squeeze: 37-40 bounded: 64-66,75,76 mixed: 43-49(odd),71, 72 def: 27-29,67,72 |
|
| 9 |
16 |
Mar 19 |
review |
||
| 17 |
Mar 21 | exam (solutions) |
|||
| 10 |
18 |
Mar 26 |
Summing an infinite series | 10.2 | S10.2 Q 1-37(odd), 36. |
| 19 |
Mar 28 |
integral test comparison test |
10.3 | S10.3 Q1-31(odd) |
|
| 11 |
20 |
April 2 |
Limit comparison test Absolute and conditional convergence |
10.3 10.4 | S10.3 Q 35-39 S10.4 Q 3-11 (odd), 19-25 (odd), 38 |
| 21 |
April 4 |
The ratio and root test | 10.5 |
S10.5 Q1-13 (odd), 35-51(odd) |
|
| 12 |
22 |
April 9 |
review |
Chapter 10 review exercises: Q1-84. |
|
| 23 |
April 11 |
exam (Sections 10.1-10.5) |
|||
| 13 |
24 |
April 16 |
Power series |
10.6 | S10.6 Q7-19(odd), 27, 31,33, 40,41 |
| 25 |
April 18 |
Taylor series | 10.7 | S10.7 Q3-35(odd), 45, 55, 64, 65 | |
| 14 |
26 |
April 23 |
Polar coordinates | 11.3 | S11.3 Q 3-31(odd) |
| 27 |
April 25 |
Area and arc length in polar coordinates | 11.4 | S11.4 Q 5-9, 13, 15, 16. |
|
| 15 |
28 |
April 30 |
Parametric equations Arc length and speed |
11.1 11.2 | S11.2 Q 7-23(odd) S11.1 Q5, 7, 11, 19, 21-37(odd), 40, 45, 47, 53, 55, 69, 73. |
| 29 |
May 2 |
review |