Math 4200-1
Introduction to
Complex Variables
Fall term, 2005

Homework Assignments

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Math 4200 home page
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Department of Mathematics



Homework is generally due each Friday, and solutions should be posted by the following Monday. The most recent assignments are listed first.

   Due Friday, December 9: (say, before 5:00)
     5.1   10, 11, 12;
     5.2   4a, 6, 7, 10, 24, 26, 33, 34.
   solutions12.pdf
   Grading: 19 points possible, distributed as follows:
     5.1   10, 11a, 11b = 1 point each; 12 = 2 points.
     5.2   4a, 6, 7, 10, 11, 24, 26 = 2 points each.

   Due Friday, December 2:
     8.2   1c, 2, 9.
     I   class exercise on partial fractions, see page 5 of nov21.pdf   class notes
     II, III   two class exercises on harmonic functions in the disk, see (includes the corrected version of II) hwfix.pdf   slight correction from Nov 23 notes
     IV   one class exercise on solving the heat equation initial value problem, see page 5 of nov28.pdf   class notes
   solutions11.pdf
   Grading: 16 points possible, distributed as follows:
     8.2   1c, 9 = 2 points each
     II abc = 2 point each, III, IV = 3 points each.

   Due Monday, November 14:
     4.3   1, 2, 3, 9, 10, 14, 17, 20b
     4.4   1, 2, 3, 4, 5, 8, 9 (#9 is challenging - I don't know how to do it.)
   solutions10.pdf
   Grading: 25 points possible, distributed as follows:
     4.3   1 = 2 points, 2, 3 = 3 points each, 9, 10 = 2 points each, 14 = 3 points, 20b = 2 points
     4.4   1, 2, 3, 8 = 2 points each.

   Due Friday, November 4:
     4.1   1de, 3, 5, 7ab, 9.
     4.2   2, 3, 4, 6, 8, 13, 15.
   solutions9.pdf
   Grading: 26 points possible, distributed as follows:
     4.1   1d = 1 point, 1e = 2 points, 3, 5 = 1 point, 7a = 2 points, 7b = 1 point, 9 = 2 points.
     4.2   2 = 2 points, 3 = 1 point, 4, 6 = 2 points each, 8 = 3 points, 13a, 13b, 15 = 2 points each.

   Due Friday, October 28:
     3.3   1ab, 2, 4, 6, 8, 9, 13, 15, 17, 18, 19, 20.
   solutions8.pdf
   Grading: 21 points possible, distributed as follows:
     3.3   1ab, 2, 4ab = 1 point each, 6, 8, 13, 15, 18 = 2 points each, 19abcd = 1 point each, 20b = 2 points.

   Due Friday, October 21:
     3.1   4, 6, 7, 14.
     3.2   2, 3, 4, 7, 11, 13, 14, 18, 20.
   solutions7.pdf
   Grading: 27 points possible, distributed as follows:
     3.1   6abc = 1 point each, 7ab = 2 points each, 14 = 3 points.
     3.2   2bd, 3ab = 1 point each, 4ab = 1 point each, 4c = 2 points, 7a = 1 point, 7b, 13, 14, 20 = 2 points each.

   Due Friday, October 14:
     2.4   2, 3, 4, 7, 8, 9, 12, 16, 17, 18.
     2.5   2, 5, 6, 9a, 10, 15, 18.
   solutions6.pdf
   Grading: 21 points possible, distributed as follows:
     2.4   2b = 1 point, 3 = 3 points, 4 = 1 point, 8 =2 points, 12, 16ab, 18ab = 1 point each.
     2.5   2 = 2 points, 5, 9a = 1 point each, 10 = 2 points, 15 = 1 point, 18 = 2 points.

   Due Friday, September 30:
     2.3   3, 4, 5, 9, 10
   solutions5.pdf
   Grading: 9 points possible, distributed as follows:
     2.3   3, 4, 5 = 2 points each; 9a = 1 point, 9b = 2 points.

   Due Friday, September 23:
     2.2   1ad, 2(prove!), 3, 4, 6, 8, 10, 11;
     2.3   1, 3, 4, 6, 7. Late note: postpone #3,4 to Sept 30.
   solutions4.pdf
   Grading: 16 points possible, distributed as follows:
     2.2 1ad:1 each, 2:1, 3:2, 8:2, 10:2, 11:2. 2.3 1:1, 7abcd: 1 each.

   Due Friday, September 16:
     1.5   25, 26, 27, 28;
     1.6   1c, 2abc, 3a, 4, 6, 10, 14;
     2.1   2ac, 3, 5, 10, 11, 13, 14.
   solutions3.pdf
   Grading: 30 points possible, distributed as follows:
     1.5   25:2, 26:1, 27abc:1 each, 28:1;
     1.6   1c:1, 2abc, 3a, 4ab:1 each, 6:2, 10b:1, 14:2.
     2.1 2a:1, 2c:1, 3:1, 5:1, 10:1, 11abcd: 1 each, 13:1, 14:1;

   Due Friday, September 9:
     Class exercises:  1, 2, 3, 4 in sept2.pdf class notes.
     1.5   1d, 5a, 6b (draw properly scaled domain and range L-boxes for 5a, 6b; see aug29.pdf class notes for examples), 8, 9, 10, 11, 16, 18abc, 19, 25, 26, 27, 28. Late Note: postpone 25-28 til next week.
   solutions2.pdf
   Grading: 25 points possible, distributed as follows:
     Class exercises   1a:1, 1c:2, 1d:1, 2:2, 3:2, 4:1;
     1.5   1d:1, 6b:2, 8:2, 9:1, 10:1, 11:2, 16a:1, 16b:1, 18a:1, 18b:1, 18c:1, 19a:1, 19d:1.


   Due Friday, September 2:
     1.1   1c, 2c, 4a, 6b, 7, 11, 14, 17a
     1.2   1b, 2b, 3, 5, 8, 11, 14, 21
     1.3   2a, 3b, 5b, 6b, 7a, 9, 10, 16ac, 22, 23, 24, 30ac
   solutions1.pdf
   Grading: 32 points possible, distributed as follows:
     1.1 2c:1 point, 4a:2 points, 6b:1, 7:1, 11 DPMA:1, MA:1, 14:3, 17a:1;
     1.2 2b:1, 5:2, 8:1, 11:1, 14:1;
     1.3 2a:1, 3b:2, 6b:1, 7a:1, 10:2, 16:1, 22a:1, 23:1, 24:2, 30a:1, 30c:2.