Math 222 Discussion Section
Fall 2004
- Dr. Malekpour’s Web Page
- Syllabus (Revised 10/20/04)
- Handouts
- Homework
- 12/9: 14.5 #12, 14, 22, 34, 36, 48
- 12/2:
Convince yourself you can do 14.4 #1-27.
Turn in 14.4 #29, 30.
- 11/23:
13.2 #6, 12—use a calculator for the latter.
A. Let u = 2i + j, v = 3i - j + 2k, and w = 4i + 3k. Find
- -4u + 3v
- v·w
- (u+v) · w
- 2w · (3u + 4v)
- |v|v · u
- |w|2 - w·w
- the cosines of the angles between each pair of vectors.
- the component of u, (i) in the direction of v and (ii) in the direction of w. (This is the same as the “scalar projection” of u on v and on w, described on p. 575.)
- the projection of u, (i) on v and (ii) on w. Draw a picture.
14.2 #23 (updated)
14.3 #2
From 14.1 #1-12, choose three even-numbered problems. From 17-24, choose one odd- and one even-numbered problem.
From 13.1 #9-20, choose two even-numbered problems.
- 11/9:
12.4 #28, 33, 42
12.5 #9, 18, 19, 20
- 11/2:
Handout
- 10/26:
7.6 #3
18.1 #2, 5, 6
18.1 #11; 18.2 #8
18.1 #10; 18.2 #12, 13
18.1 #9; 18.2 #11, 10 (Be careful—10 is different from 11.)
18.2 #17, 18
- 10/15:
5.2 #3, 4, 13, 14
7.6 #1, 2, 11, 12
- 10/8:
10.6 #2, 4, 8, 10, 12, 21
10.7 #2
10.8 #4, 8
A. Find the terms through x5 in the Maclaurin series for (1 - x)3/2. (This is a variantion of #17 in the book.)
B. Find the Taylor series in x - a through (x - a)3 for ex, a = 2. (This is a variation of #19.)
- 10/1:
10.3 #2, 8, 16, 20
10.4 #1, 3, 6, 10, and pick three even numbered problems from 12-34.
10.5 #14, 16, 18, 20
- 9/24:
10.1 #2, 24
10.2 #2, 4, 6, 16, 20
- 9/17:
8.5 #14, 18, 22, 34
8.4 #36, 39, 46, 48
8.6: Pick any four of the “Sample Test Problems” on p. 399.
9.3 #2, 4, 6, 8
9.4 #2, 4, 6, 8
- 9/10:
Handout
Solutions
- Reading
- 12/9: 14.5 (skim)
- 12/2: 14.4
- 11/21: 13.1, 13.4, 13.5, 14.3
- 11/7: 12.7, 13.2, 13.3, 14.1, 14.2
- 10/31: 12.4-12.6
- 10/24: 18.2 (skim), 18.3, 12.1-3
- 10/10:
5.2, 7.6, 18.1
Sample Reading Report
- 10/3: 10.6-10.8
- 9/26: 10.1-10.5
- 9/12: 8.4, 9.3, 9.4
