Homework Assignments - Math 545/546 Winter-Spring 2018

Wk. Reading Report Due
by 4 PM
Work (W) ALL exercises
in reading, plus ...
Hand In (HI) HI Due
1 (Short Week)
2 ITM Ch. 12 thru p. 316
ISM Append. BC
not reqrd. ITM 11-20, 12-9 ITM 11-21, 12-11
ISM B.22defg
Problem 0-1
W 1/10
All readings below from ISM All problems below from ISM All problems below from ISM
3 p.vii, Ch. 1, 2. See Reading Guide
about Preface, Appendices, Ch. 1
Tu. 1/16
(1/15 holiday)
1-7ab, 1-9, 1-11,
2-1, 2-7
1-7cd, 1-8,
2-3(bc), 2-6, 2-10
W 1/17
4 Ch. 3 Sun. 1/21 3-1, 3-3, 3-8 3-5, 3-6, 7-2, 7-4 W 1/24
5 Ch. 4 & some or all of Ch. 5 Sun. 1/28 4-1, 4-6 4-4, 4-5, 4-7, 4-8, 4-12 W 1/31
6 Finish Ch. 5;
Ch 6: see Reading Guide
Sun. 2/4 5-4, 5-6, 5-9 (3-5 isn't quite
enough; what more is needed?)
5-5, 5-10, 5-13, 5-17, 5-18 W 2/7
7 Ch. 7 Sun. 2/11 None Take-home midterm: now available at
Manifolds WSp18 Workspace.
W 2/14
8 Ch. 8 Tu 2/20
(2/19 holiday)
7-11, 7-15, 7-17, &
two group propositions
7-13*, 7-14*, 7-18, 7-19, 7-20abc, 7-21abc**
Note *Additions and **corrections
W 2/21
9 Ch. 9: see Reading Guide Sun. 2/25 8-3, 8-17, 8-19, 8-29 8-4, 8-9, Modified 8-10,
8-25, 8-30 [read 20 as hint]
W 2/28
10 finish/review Ch.9
Optional: 8-12 pp. of Ch. 10
Sun. 3/4 9-2 9-3ab, 9-4, 9-6, 9-7, 9-10ab
Hard deadline! Maddie grading on 3/8.
W 3/7
Exam Final Exam now available at
Workspace.
Th 3/15
SP1 Ch. 10; Rec: Start Ch 11 not reqrd. No assignment No assignment
2 Ch. 11 Sun. 4/1 Read 10-5, 10-6, & 10-13 Show Lemma 2.26 false if R^k replaced by
a smooth manifold N; 10-1, 10-7, 10-15, 10-16
W 4/4
3 Ch. 12 Sun 4/8 11-13, 11-16, and 1 more; for more
practice, 11-7, 11-9, 11-10(cd).
If categorically inclined,
see 10-3, 10-8, 11-3 &/or 11-18.
11-1 (see modification of b);
11-10(ab) - do (b) 2 ways, as in 11-9,
11-11, 11-14, 11-15, 11-17.
W 11
4 Ch. 13 & 14: see Reading Guide Sun 4/15 12-4, 8-13 & 13-23;
may assume results of 13-12(ab)
12-7, 12-11, 12-12,
13-13, 13-14
W 4/18
5 Finish Ch. 14 if not done before,
Ch. 19 at least to p. 507
Sun 4/22 14-1; 14-7 as needed
to be sure you can compute
13-24, 14-5, 14-6, Exercise 14.31, p. 369 W 4/25
6 Ch. 20 Sun 4/29 19-5; counterexample to converse in 19-7 19-2, 19-3, 19-6, 19-7, 19-12 W 5/2
7 none midterm (at Workspace) W 5/9
8 Ch. 21 Sun 5/13 20-4, 20-5 20-6 - also find pw-smooth curve Id to A;
20-10, 20-11 (check errata), 20-17, 20-20
W 5/16
9 Ch. 15, start Ch. 16,
e.g. to mid p. 415
Sun 5/20 21-3, 21-12, 21-13; read if interested: 21-14
(alg. geom.), 21-21 thru 21-26 (Lie groups).
15-5, 15-15
21-16, 21-17,
15-3, 15-4 (check errata)
W 5/23
10 Ch. 16 thru p. 427
start Ch. 17
Tues 5/29 If interested in PDEs,
read 16-14 thru 16-17.
15-12, 15-13, 16-4, 5, 16-12 - in (c), let
M = [a,b], what are u and v for ∫ab u dv?
F 6/1
Exam The Exam is posted at the Workspace. Th 6/7

Homework Guidelines.

Return to the Math 545/6 Homepage.


Most recently updated on May 31, 2018.