Math 545/6 Homework Assignments

Wk. Reading Report Due
by 3 PM
Work (W) ALL exercises
in reading, plus ...
Hand In (HI) HI Due
1 p.vii, Appendices B & C, & Ch. 1
More detailed reading suggestions
not reqrd. ISM 1-7ab ITM 11-20, 11-21;
ISM B.22defg, 1-7cd, 1-8
F 1/10
2 Ch. 2 Sun. 1/12 1-9, 2-1 2-3(bc), 2-7, 2-8, 2-9, 2-10 F 1/17
3 Ch. 3, Ch. 4 through at least p. 85 Tu. 1/21 3-1, 4-1 3-5, 3-6, 3-8, 7-2, 4-2, 7-1 F 1/24
4 Finish Ch. 4, Ch. 5 Sun. 1/26 4-6, 4-8, 4-10, 5-4 4-5, 4-7, 4-13, 7-4, 5-1, 5-5 F 1/31
5 Ch. 7, Ch. 6 through at least p. 135.
See Reading Guide re Ch. 6.
Sun. 2/2 5-16, 5-19, 5-20, 7-6, 7-12 5-10, 5-13, 5-14, 5-17, 7-13: also identify
tangent space at I (as a subset of M(n,C))
F 2/7
6 Finish Ch. 6, Ch. 8 at least
through about p. 189
Sun. 2/9 Midterm, sent by email. Due date extensions
of 1-2 days automatic, just request by email.
F 2/14
7 Finish Ch. 8; starting
Ch. 9 recommended
Tu. 2/18 7-15, 7-17, 8-3, 8-10, 8-11 (10, 11 to be
comfortable with coord. computations)
6-10, 7-19, 7-20abc, revised 7-21abc, 8-1, 8-9 F 2/21
8 Ch. 9 ("Time-Dependent V.F." p. 236
through end of chapter optional)
Sun. 2/23 8-17, 8-19, 8-26, 8-27, 8-29 8-4, 8-18, 8-25, 8-30
(8-20 may serve as a hint for 8-30.)
F 2/28
9 Ch. 10 Sun. 3/2 9-4, 9-16, 9-18 9-3(ab), 9-6, 9-7, 9-10(ab), 9-19 F 3/7
10 Start Ch. 11 Sun. 3/9 10-4 9-17(ac), 10-1, 10-7, 11-1, 11-5 F 3/14
SP1 Finish/review Ch. 11 not reqrd. No assignment No assignment
2 Ch. 12 Sun. 4/6 11-7, 11-10, 11-14 as needed; 11-13,
11-16; and 11-2 & 11-18 if interested.
11-6, 11-9, 11-11, 11-15, 11-17 F 4/11
3 Ch. 13 Sun. 4/13 12-1, 12-2, 12-8 12-7, 12-11, modified* 12-12, 13-10, 13-11 F 4/18
4 Ch. 14 Sun. 4/20 13-5, 13-6, 13-22 13-12, 13-13, 13-14, 13-20, 13-21 F 4/25
5 Ch. 19 Sun. 4/27 14-1; 14-7 as needed 13-24, 14-2, 14-5, 14-6, and
Exercise 14.31 on p. 369
F 5/2
6 none this week Midterm, see email F 5/9
7 Ch. 20, Ch. 21 to top of p. 545
(through statement of 21.10)
Sun. 5/11 19-5, 19-8, 19-9 19-4, 19-6, 19-7, 19-12, 20-5, 20-6 F 5/16
8 Rest of Ch. 21, start Ch. 15 Sun. 5/18 20-1, 20-2, 20-3, 20-4, 20-12 20-7, 20-8, 20-10, 20-11, 20-15, 20-17 F 5/23
9 Finish Ch. 15, start Ch. 16 Tu. 5/27 21-2, 21-3, 21-12, 21-15 21-10, 21-13, 21-16, 21-17, 21-22 F 5/30
10 Ch. 16 through p. 427, start Ch. 17 Sun. 6/1 15-3, 15-5, 15-15 15-4, 15-12, 15-13, 16-5, 16-10, 16-12 F 6/6
*Without using any facts about the Lie derivative, show that the three conditions 12-12(a) & (b) plus (12.10), p. 323, uniquely define
an operator on smooth covariant tensor fields such that the result of operating on a k-tensor field is also a smooth covariant k-tensor field.

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Most recently updated on May 29, 2014.