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Complex Analysis
Math 4200 home page
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Homework will be assigned for each week and due on Fridays. Assignments will be posted here, with solutions to follow after your work is collected. To accomodate varied schedules, there are optional discussion/problem sessions on Tuesdays from 12:30-1:30 p.m. LCB 218 and Wednesdays 4:00-5:00 p.m. in JWB 240. The original problem session time, Thursdays 11:30-12:45, has been converted into an office hour.
Week 1: Due August 26
1.1 1b, 2c, 4a, 6a, 7, 11 (multiplication properties (i)-(iv) and the distributive property only), 14, 17a;
1.2 1a, 2b, 4, 5, 8, 11, 14, 19.
text1.1-1.2.pdf: The first two sections of our text, if you don't have your copy yet.
solutions1.pdf
Grading: 16 points possible, distributed as follows:
1.1 2c:1 point, 4a:2 points, 6a:1, 7:1, 11 mult(ii):1, 14:2, 17a:1;
1.2 1a:1, 4:1, 5:2, 8:1, 11:1, 14:1.
Week 2: Due September 2
1.3 1a, 4b, 5a, 6a, 7a, 9, 10, 16b, 21, 23, 30b.
1.4 1, 2b, 3, 4, 5, 8, 11, 13, 16, 18.
solutions2.pdf
Grading: 24 points possible, distributed as follows:
1.3 4b:2; 6a:1, 7a:1, 9:1, 10:2, 16b:2, 21:1,23:1,30b:1.
1.4 2b:2, 3:1, 4:1, 5:1, 8:1, 11:1, 16abc:3, 18:2.
Week 3: Due September 9
1.5 1ad, 3b, 5c, 6b, 8, 9, 10, 11, 13 (then look at 14, but don't do 14), 16, 18abc, 19. In 5c and 6b describe what the differential map does to tangent vectors.
solutions3.pdf
Grading: 19 points possible, distributed as follows:
1.5 1d:1, 3b:1, 5c:1, 6b:1, 8:2, 9:1, 10:1, 11:2; 16ab, 18abc, 19abcd all 1 point each.
Week 4: Due September 16
1.5 6b repeat (this time draw the L-square diagram to illustrate the differential map, like we did for the class example on Friday Sept 9), 25, 26, 27, 28, 31;
1.6 1c, 2abc, 3a, 4, 6, 10, 14. 6, 10, 14 will be graded in next week's hw.
class exercise in Friday Sept. 9 notes, sept9.pdf (I forgot to post this part of the assignment so it won't be graded...but it's a good problem and I've posted the solution.)
solutions4.pdf
Grading: 12 points:
1.5 6b, 25, 26, 27, 28 = 1 point each.
1.6 1c, 2abc, 3a, 4ab = 1 point each.
Week 5: Due September 23
1.6 6, 10, 14 from last week;
2.1 2ac, 3, 5, 10, 11, 13, 14;
2.2 1ad, 2 (prove with FTC!), 3, 4, 6, 8, 11. 8 and 11 are due next week.
Class exercise in Friday Sept 16 notes, sept16.pdf
solutions5.pdf
Grading: 24 points:
1.6 10, 14 = 2 points each.
2.1 2a, 2c, 3, 5, 10 = 1 point each; 11a = 2 points, 11b, 13, 14 = 1 point each.
2.2 1ad, 2 = 1 point each; 3 = 2 points; 4 = 1 point; 6 = 2 points.
Class exercise = 2 points.
Week 6: Due September 30
2.2 8, 11 from last week;
2.3 1, 3, 4, 5, 6, 7, 9, 10;
solutions6.pdf
Grading: 24 points:
2.2 8 = 2 points, 11 = 3 points.
2.3 1, 3, 4, 5, 6 = 2 points each; 7abcd, 9ab, 10abc = 1 point each.
Week 8: Due October 21
Class exercise I, in Oct. 7 notes
2.4 2, 3, 4, 7, 8, 12, 16, 17, 18.
2.5 2, 5, 6, 8, 9a, 10, 15, 18. postpone 15, 18 until next week.
solutions8.pdf
Grading: 23 points:
2.4 2ab, 3 = 2 points each; 4, 7 = 1 point each; 8 = 2 points; 12, 16ab, 17 = 1 point each; 18 = 2 points.
2.5 2 = 2 points; 5, 8, 9a = 1 point each.
Class exercise I = 2 points.
Week 9: Due October 28
Class exercise I, in Friday October 21 notes
2.5 15, 18 (from last week).
3.1 4, 6, 7, 12, 13, 14.
3.2 2, 3, 4.
solutions9.pdf
Grading: 23 points:
2.5: 18 = 1 point.
3.1 4ab, 6abc, 7ab = 1 point each; 12, 13, 14 = 2 points each.
3.2 2abcd, 3ab, 4abc = 1 point each.
Week 10: Due November 4
3.2 5c, 7, 13, 14, 18, 19, 20.
3.3 1ab, 4, 6, 8, 9, 13, 15, 17, 18, 19, 20. postpone 9, 17, 20 until next week.
solutions10.pdf
Grading: 20 points:
3.2: 7ab, 13 = 1 point each; 14 = 2 points; 18, 19ab = 1 point each, 20 = 2 points.
3.3 1ab, 4ab = 1 point each; 6, 13, 18 = 2 points each.
Week 11: Due November 11
3.3 9, 17, 20b
4.1 1de, 3, 5, 7, 9
4.2 2, 3, 4, 6, 8, 13, 15.
solutions11.pdf
Grading: 25 points:
3.3: 9abc = 1 point each; 17, 20b =2 points each.
4.1 1de, 3, 5, 7ab = 1 point each.
4.2 2 = 2 points, 3 = 1 point, 4, 6 = 2 points each, 13a = 1 point, 13b = 2 points, 15 = 2 points.
Weeks 12-13: Due November 23 Wednesday
We decided to push back the due date to Wednesday November 30.
4.3 1, 2, 4, 5, 10, 14, 17, 20ab
4.4 1, 2, 3, 4, 5, 8, 9
solutions12.pdf
Grading: 24 points:
4.3: 1 = 2 points, , 2 = 3 points, 10 = 2 points, 14 = 3 points, 17, 20b = 2 points each.
4.4 1, 2, 3, 4, 8 = 2 points each
Weeks 14-15: Due Friday Dec. 9
5.1 7, 10, 11, 12
5.2 1,4a, 6, 7, 10, 11, 24, 26, 33, 34.
solutions13.pdf
Grading: 18 points:
5.1: 10, 12 = 2 points each.
5.2 1abcd = 1 point each, 4a, 6, 7, 10, 26 = 2 points each.