Math 2280
Introduction to
Differential Equations
Spring term, 2001

Homework Assignments

Send e-mail to : Professor Korevaar

Links:
Math 2280-2 home page
Professor Korevaar's home page
Department of Mathematics




Homework assignments (most recent first):

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


  Due Wednesday April 25
     9.6:   1, 4, 5, 11, 17, 21
That's it!!!! (well, except for the Maple project, which is also due April 25.)

  Grading: 11 points possible, distributed as follows:
     9.6:   1, 4 = 1 point each, 5, 11 = 2 points each, 21a = 1 point, 21b = 2 points, 21c,d = 1 point each.


  Due Friday April 20
     9.4:   1, 7, 9, 13
     9.5:   1, 7, 13, 15, 16, 24

  Grading: 18 points possible, distributed as follows:
     9.4:   1 = 2 points, 7, 9 = 1 point each, 13 = 2 points
     9.5:   1, 7 = 1 point each, 13a = 1 point, 13b = 2 points, 13c = 2 points, 15 = 2 points, 16a = 2 points, 16b = 1 point.


  Due Friday April 13
     6.4:   3, 5, 15, 12
     9.1:   3, 6, 7, 10, 12, 13, 15, 17, 20, 27, 28, 29 30
     9.2:   1, 9
     9.3:   1, 9, 17, 19, 20

  Grading: 26 points possible, distributed as follows:
     6.4:   3 = 1 point, 12, 15 = 2 points each
     9.1:   6, 7, 10 = 1 point each, 12, 17, 20 27 = 2 points each
     9.2:   1, 9 = 2 points each
     9.3:   1, 9, 17 = 2 points each


  Due Monday April 2 (because our second midterm is Wednesday April 4)
     5.6:   1, 13, 15, 19, 23
     6.1:   5, 8, 11, 15, 20, 24
     6.2:   5, 6, 7, 8, 9, 14, 15, 19, 30, 31
     6.3:   2, 8, 9, 10, 14, 15, 16, 17

  Grading: 33 points possible, distributed as follows:
     5.6:   15a = 2 points, 15b = 1 point, 15c = 2 points, 19 = 3 points (I hope you did it on the computer!)
     6.1:   5, 8, 11 = 1 point each, 15 = 2 points (node picture on solutions was drawn wrong (by me): all trajectories drawn should go through the origin!, 20 = 2 points, 24 = 2 points
     6.2:   6, 8, 9, 19 = 1 point each, 30 = 3 points
     6.3:   2 = 3 points, 8, 9, 10 = 2 points each


  Due Friday March 23 (In addition to your Maple project!!)
     5.4:   1, 7, 11, 29
     5.5:   1, 3, 11, 23, 33

  Grading: 22 points possible, distributed as follows:
     5.4-5.5:   18 points total; each problem worth 2 points



  Due Friday March 9
     5.2:   2, 3, 9, 10, 15, 27, 29, 35
     5.3:   3, 7, 9, 14, 16, 17, 21
     To do #21, you might want to use Maple, or at least the worked out example from Tuesday's notes:
     2280march6.pdf    2280march6.mws

  Grading: 22 points possible, distributed as follows:
     5.2:   3 = 2 points, 15 = 2 points, 27 = 3 points, 29 = 2 points, 35 = 3 points
     5.3:   3, 9, 14, 16, 17 = 2 points each.



  Due Friday March 2
     3.7:   1, 7, 17
     4.1:   1, 8, 11, 15, 16, 21a, 24, 26
     5.1:   11, 13, 18, 21, 22, 26, 31, 35

  Grading: 16 points possible, distributed as follows:
     3.7:   1 = 1 point, 7, 17 = 2 points each
     4.1:   8, 11, 15, 21a, 24, 26 = 1 points each
     5.1:   18, 22, 26, 31, 35 = 1 point each.


  Due Friday February 23
     3.5: 49, 50, 51, 64
     3.6: 4, 5, 7, 13, 16, 21 , 22
     I had been thinking about doing a Maple project on the Tacoma Narrows bridge for section 3.6, but will hold off until we are talking about systems of differential equations.

   Grading: 16 points possible, distributed as follows:
     3.5:   49, 51, 64 = 2 points each
     3.6:   4, 5, 13, 21 22 = 2 points each.


  Due Friday February 16
     3.5:   3, 4, 17, 19, 36, 37, 43, 49, 50, 51.
     Problems 49, 51 are postponed until next week, because we will only discuss variation of parameters on Friday.

   Grading: 11 points possible, distributed as follows:
     3.5:   3 = 1 point, 17 = 2 points, 19 = 2 points, 37 = 4 points, 43a = 2 points.


  Due Friday February 9
     3.1:   1, 2, 4, 5, 11, 13, 17, 27, 29, 30, 31, 33, 34, 35
     3.2:   2, 5, 9, 11, 13, 21, 22, 25, 26
     3.3:   3, 10, 14, 21, 22, 24, 29, 33, 37
     3.4:   4, 5, 6, 13, 15, 19, 23

   Grading: 35 points possible, distributed as follows:
     3.1:   4, 13 = 2 points each; 17, 34, 35 = 1 point each;
     3.2:   9, 13, 22 = 2 points each; 26 = 1 point;
     3.3:   3, 10, 14 = 1 point each; 22, 29, 33 = 2 points each;
     3.4:   4 = 2 points, 5 = 1 point; 6, 15, 19 = 2 points each; 23a = 1 point, 23b = 2 points.


  Due Friday February 2
     2.3:   2, 3, 9, 11, 13, 14, 17, 18.

   Grading: 9 points total:
     2.3:   2ab = 1 point each, 9 = 1 point, 11, 13, 17 = 2 points each.
     That's all for this week, but the Maple project, parts 1 and 2, is due on Monday at midnight.


  Due Friday January 26
     1.6:   9, 16, 33, 38, 43, 47, 51
     2.1:   1, 6, 8, 9, 11, 19
     2.2:   5, 7, 9, 12, 14, 18, 19 .

   Grading: 25 points, distributed as follows:
     1.6:   9, 33, 38 = 2 points each, 43, 51 = 1 point each
     2.1:   1, 6 = 2 points each, 9 = 3 points, 11 = 1 point, 19 = 3 points
     2.2:   7 = 2 points, 12 = 2 points, 14 = 2 points


  Due Friday January 19
     1.3:   21, 23, 25, 31, 32
     1.4:   3, 9, 12, 14, 19, 20, 22, 37, 45, 54, , 55, 58, 60
     1.5:   1, 7, 13, 34, 36, 38, 41.

   Grading: 20 points, distributed as follows:
     1.3:   23 = 1 point, 25 = 1 point, 32 = 2 points
     1.4:   9, 12, 19 = 1 point each, 45 = 2 points, 54 = 2 points, 60a = 1 point, 60b = 2 points
     1.5:   7 = 1 point, 13 = 1 point, 34 = 2 points, 38 = 2 points.


  Due Friday January 12
     1.1:   3, 6 , 15, 16, 19, , 27, 31, 34, 35, 36
     1.2:   6, 7, 13, 18, 19, 21, 25, 27, 29, 30, 35 . Note, on #25 replace dy/dx with dv/dt.
     1.3:   3, 6, 10, 11, 12, 18 . On #6 also verify that y=x+Cexp(-x) solves the differential equation.

   Grading: 22 points, distributed as follows:
     1.1:   6 = 2 points, 16 = 2 points, 19 = 1 point, 36 = 1 point.
     1.2:   6 = 2 points; 18 = 2 points, 25 = 2 points, 27 = 2 points, 30 = 2 points.
     1.3:   3= 1 point, 10 = 1 point, 12 = 2 points, 21 = 1 point, 23 = 1 point.