Math 2250-3
Differential Equations and Linear Algebra
Fall term, 2003

Homework Assignments

Send e-mail to : Professor Korevaar
Nathan Albin
Kazuma Shimomoto

Links:
Math 2250-3 home page
Professor Korevaar's home page
Department of Mathematics




Homework is due at the start of class, on Wednesdays, unless otherwise noted. Homework solutions will be posted by the following Friday.

Homework assignments (most recent first):

Bold-face problems are to be handed in, others are only recommended.

   Due Wednesday December 3: (Last HW of the term, Hurray!!!)
     10.2:   3, 4, 5, 6, 14, 15, 19, 20, 25, 28, 31;
     10.3:   3, 7, 8, 17, 20, 31, 36;
     10.4:   2, 3, 9, 10, 15, 16, 23, 26.
  Solutions:  sols15.pdf
  Grading: 24 points, distributed as follows:
     10.2:  6 = 2 points, 14 = 3 points, 20 = 2 points, 28 = 1 point;
     10.3:  3, 8, 17 = 1 point each, 20, 31 = 2 points each, 36 = 3 points;
     10.4:  2, 3 = 1 point each, 16 = 2 points, 23, 26 = 1 point each.


   Due Wednesday November 26 :
     7.4:  2, 3, 8, 9, 11, 12, 16, 17, 18;
     10.1:  3, 7, 8, 13, 20, 21, 23, 28, 38, 39, 40;
  Solutions:  sols14.pdf
  Grading: 23 points, distributed as follows:
     7.4:  2, 8 = 2 points each, 12 = 3 points, 16, 17, 18 = 2 points each;
     10.1:  3, 8, 13 = 1 point each, 20 = 2 points, 23, 28, 38 = 1 point each, 40 = 2 points.


   Due Wednesday December 3 (last day of class):
     Maple project III: go to 2250maple.html
  Grading: 27 points, distributed as follows:
     3.1, 3.2 = 3 points each; 3.3 = 2 points, 3.4 = 3 points, 3.5 = 7 points, 3.6 = 9 points.

   Due Wednesday November 19 :
     7.2:  5, 9, 10, 13, 14, 16, 21, 23, 25;
     7.3:  3, 4, 6, 13, 14, 25, 30, 32.
  Solutions:  sols13.pdf
  Grading: 20 points, distributed as follows:
     7.2:  10 = 1 point, 14, 21, 23, 25 = 2 points each;
     7.3:  4, 14 = 2 points, 30 = 3 points, 32 = 4 points.


   Due Wednesday November 12 :
     6.1:  7, 17, 18, 24, 29;
     7.1:  1, 3, 5, 8, 11, 18, 21, 24, 26;
  Solutions:  sols12.pdf
  Grading: 20 points, distributed as follows:
     6.1:  7, 18, 24, 29 = 2 points each;
     7.1:  3, 8, 18, 21a, 24, 26 = 2 points each.


   Due Friday November 7:
     Maple Project II.
  Grading: 28 points, distributed as follows:
     2.1:   A = 2 points, B = 3 points;
     2.2:   A, B = 2 points each;
     2.3:   A, B, C = 2 points each;
     2.4:   A, C = 3 points each, B = 2 points;
     2.5:   A = 3 points, B = 2 points.
     2.6:   optional - not graded.


   Due Monday, November 3 :
     5.6:  3, 5, 7, 14, 16, 21, 22
   Solutions:  sols11.pdf
   This set will not be graded - but some of this material is very likely to appear on the midterm!


   Due Wednesday, October 29 :
     5.3:  3, 10, 14, 21, 22, 24, 29, 33, 37.
     5.4:  4, 5, 7, 10, 12, 13, 18, 23;
     5.5:  3, 4, 12, 13, 19, 34, 37, 43, 49, 50, 52.
  Solutions:  sols10.pdf
  Grading: 29 points, distributed as follows:
     5.4:   4 = 3 points, 5, 7, 13, 18 = 2 points, 23 = 4 points;
     5.5:   12, 14, 34, 37 = 3 points, 49 = 2 points.


   Due Wednesday, October 22 :
     5.1:  1, 2, 4, 5, 11, 13, 17, 27, 29, 30, 31, 33, 34, 35, 39;
     5.2:  2, 5, 9, 11, 13, 21, 22, 25, 26;
  Solutions:  sols9.pdf
  Grading: 22 points, distributed as follows:
     5.1:   2, 4, 11, 34, 39 = 2 points each, 17 = 1 point;
     5.2:   2, 9, 11, 13, 22 = 2 points, 26 = 1 point;


   Due Wednesday, October 15 :
     4.3:  16, 17, 18, 21, 22, 23, 25;
     4.4:   1-4, 8-10, 21, 26, Use technology to save time on rref!
     4.5:   1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 15, 19, 21, 23, 25;
  Solutions:  sols8.pdf
  Grading: 32 points, distributed as follows:
     4.3:   16, 22, 25 = 2 points each;
     4.4:   1, 2, 3, 4, 8 = 1 point each, 10, 21, 26 = 2 points each;
     4.5:   3, 5, 7 = 1 point each, 8, 10, 13, 15, 21, 23 = 2 points each.


   Due Wednesday, October 8 :
     4.1:  1, 7, 9, 10, 15, 16, 19, 21, 25, 26, 31, 33;
     4.2:  5, 6, 9, 15, 16, 24, 25, 27, 29 ;
     4.3:  1, 3, 6, 9, 10.
  Solutions:  sols7.pdf
  Grading: 27 points, distributed as follows:
     4.1:   10, 16, 19, 26, 31, 33 = 2 points each;
     4.2:   6, 9, 15, 27 = 2 points each;
     4.3:   1 = 1 point, 6, 9, 10 = 2 points each.


   Due Wednesday, October 1 :
     3.6:  3, 13, 17, 21, 27, 33
  Solutions:  sols6.pdf
  Grading: 7 points, distributed as follows:
     3.6:   13, 17 = 2 points each, 33 = 3 points.



   Due Wednesday, September 26 :
     3.3:  13, 15, 18, 32;
     3.4:  3, 5, 7, 10, 13, 19, 31, 32, 34, 39, 44;
     3.5:  5, 7, 8, 13, 23, 30, 31, 32, 33.
  Solutions:  sols5.pdf
  Grading: 27 points, distributed as follows:
     3.3:   13, 18, 3 points each (2 by hand, 1 by maple), 32 = 2 points;
     3.4:   7, 10 13 = 1 point each, 19, 31 = 2 points each, 39 = 1 point;
     3.5:   7, 8, 13, 23 = 2 points each, 30 = 1 point, 32 = 2 points.


   Due Wednesday, September 17 :
     2.4:  5
     2.5:  5, 25
     2.6:  5
     3.1:  1, 4, 11, 16, 17, 19, 23, 29, 32, 33, 34
     3.2:  7, 8, 9, 13, 17, 29 30
     Please work the exercises in 3.1 and 3.2 by hand, but I encourage you to check your answers with technology. Technology is encouraged for the 2.4-2.6 problems. In particular, the handout from Wednesday would be helpful. It's on our maple page.
  Solutions:  sols4.pdf
  Grading: 26 points, distributed as follows:
     2.4:   5 = 2 points;
     2.5:   5 = 2 points, 25 = 4 points;
     2.6:   5 = 2 points;
     3.1:   4 = 1 point, 11 = 2 points, 16 = 1 point, 23, 29, 32 = 2 points each;
     3.2:   8, 13, 17 = 2 points each.


   Due Friday, September 12
     Maple project I.  
  Part A Solutions:  maple1asols.pdf
  Part B Solutions cannot be posted yet.
  Grading: 49 points, distributed as follows:
     1.1= 9 points, 2 points Maple, 1 point paper work, each part.
     1.2 = 8 points, 2 points each graph. Extra credit of 2 points possible on 1.2C, if you actually get the correct graph.
     1.3 = 9 points; 5 points for hand work, 4 for Maple check.
     1.4 = 4 points; 2 for hand work, 2 for maple check.
     1.5 = 9 points; 3 each for two graphs, 3 for phase delay estimate.
     1.6 = 10 points; 3 each for two graphs, 4 for explanation.


   Due Wednesday, September 10 :
     2.1:  1, 3, 6, 8, 9, 11, 12, 19;
     2.2:  5, 7, 9, 12, 14, 15, 21;
     2.3:  2, 3, 9, 10, 17, 18.
  Solutions:  sols3.pdf
  Grading: 23 points, distributed as follows:
     2.1:   3, 8, 12 = 2 points each; 19a = 1 point, 19b = 2 points;
     2.2:   7, 9, 15, 21 = 2 points each;
     2.3:   2a = 2 points, 2b = 1 point; 10 = 3 points.


   Due Wednesday, September 3:
     1.4:  3, 4, 9, 12, 14, 19, 20, 22, 37, 45, 54, 55, 60
     1.5:   1, 7, 8, 13, 20, 33, 36, 38, 41
  Solutions:  sols2.pdf
  Grading: 26 points, distributed as follows:
     1.4:  9 = 1point, 20, 22 = 2 points each; 37 = 3 points, 45 = 2 points, 55 = 3 points;
     1.5:  8, 20, 33 = 2 points each; 38a = 1 point, 38b = 2 points, 38c = 1 point; 41 = 3 points.


   Due Wednesday, August 27:
     1.1:  3, 4, 7, 15, 16, 19, 20, 27, 28, 33, 35, 36
     1.2:   5, 7, 10, , 13, 14,, 19, 21, 25, 26, 29, 30, 36
     1.3:   3, 6, 8, 11, 12, 16, 21, 24 32, 33.
  Solutions:  sols1.pdf
  Grading: 24 points, distributed as follows:
     1.1:  7, 20 = 2 points each; 28, 36 = 1 point each;
     1.2:  7, 10, 25, 26, 30, 36 = 2 points each;
     1.3:  8, 12 = 2 points each; 21, 24 = 1 point each.