Math 2250
Differential Equations and Linear Algebra
Fall term, 2000

Homework Assignments

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Links:
Math 2250-3 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 Friday December 8: But do them sooner!!!! These are your last hw problems for Math 2250-3, hurray!
     10.4   2, 3, , 6, 9, 11, 15, 29, 36
     10.5   3, 7, 11, 16, 31, 33
10.5 is now optional, and will not be on the final exam.
   Grading: total for 10.1-10.4 = 33 points, distributed as follows:
     10.1   3 = 1 point, 7 = 2 points, 21 = 2 points, 29 = 1 point, 30 = 1 point, 37 = 1 point.
     10.2   3 = 2 points, 5 = 2 points, 13 = 2 points, 22 = 2 points, 31 = 2 points.
     10.3   3 = 1 point, 7 = 1 point, 17 = 2 points, 21 = 2 points, 31 = 3 points.
     10.4   3 = 2 points, 9 = 2 points, 36 = 2 points.
   On-line solutions are located at 2250hwDec8.html


   Due Wednesday December 6
     10.1   3, 7, 13, 19, 21, 29, 30, 37, 39, 40
     10.2   3, 5, 13, 22, 23, 28, 31
     10.3   3, 7, 17, 21, 31, 37
     Ziggy Spring Problem (see below)   Also, if you are able to fix the model to include the mass of the spring, and get new predictions which agree with those quoted in the handout below, and successfully explain your work to me, then you get 10 free (additional, post-curve) points added to your final exam score. You may work in groups, but explanations must be individual. The first person to succeed gets a prestigeous Math Department T-shirt as well!
   Grading: see above.

   Due Wednesday November 29
     7.2   9, 10, 15, 21, 24, 30
     7.3   4, 7, 8, 9, 15, 25, 29, 31
     7.4   1, 3, 9, 12
     AND: Ziggy's two-mass spring experiment. There is a correction to the data, obtained in a recount. You are to compare our experiment with the model. The data correction, various doodles, and partial answers are located at 2250Nov27.html
   Grading: Total = 25 points, distributed as follows: (Ziggy spring will be graded next week).
     7.2   10 = 1 point, 15 = 2 points, 24 = 1 point
     7.3   4, 8, 9, 15, 29 = 2 points each
     7.4   3 = 3 points, 9 = 4 points, 12 = 4 points.

   Due Friday November 17
     6.1   5, 15, 16, 25, 29
     6.2   5, 6, 10 , 15, 17, 27
     7.1   1, 5, 6, 11, 12, 13, 21, 24, 26
   Grading: 24 points, distributed as follows:
     6.1   5 = 2 points, 16 = 2 points, 25 = 2 points, 29 = 2 points
     6.2   5 = 2 points, 10 = 2 points, 17 = 2 points, 27 = 2 points
     7.1   5 = 2 points, 13 = 2 points, 24 = 2 points, 26 = 2 points.

   Due Friday November 3 (5.4-5.5) and Monday November 6 (5.6)
     5.4   4, 5, 6, 13, 15, 19, 23
     5.5   3, 4, 17, 19 36, 37, 43, 49, 50 51
     5.6   4, 5, 7, 13, 16, 21, 22
   Grading: for 5.4-5.5 there are 25 possible points, distributed as follows:
     5.4   4 = 3 points, 5 = 2 points, 6 = 2 points, 15 = 2 points, 19 = 3 points, 23a = 1 point, 23b = 2 points.
     5.5   3 = 2 points, 19 = 2 points, 37 = 4 points 49 = 2 points.
   Grading: for 5.6 there are 11 possible points, distributed as follows:
     5.6   4 = 2 points, 5 = 2 points, 13 = 3 points, 21 = 2 points, 22 = 2 points.

   Due Wednesday, October 25:
     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
     5.3   3, 10, 14, 21, 22, 24, 29, 33, 37.
  Grading:   26 total points, distributed as follows:
     5.1:   2 = 2 points, 5 = 2 points, 11 = 2 points, 17 = 1 point, 34 = 1 point, 39 = 1 point.
     5.2:   2 = 2 points, 9 = 2 points, 13 = 2 points, 22 = 2 points, 26 =1 point.


   Due Wednesday, October 18:
     4.3   1, 2, 3, 5, 6, 8, 9, 10, 16, 17, 18, 21, 22, 23, 25
     4.4   1-4, 8-10 17, 20, 24 (use technology!)
     4.5   1, 2, 3, 4, 5, 6, 7 8, 9, 10, 12, 13, 15, 19, 21, 23, 25
         on-line solutions
  Grading:   32 total points, distributed as follows:
    4.3:   1-3, 6, 8 = 1 point each, 10 = 2 points, 16 = 2 points, 22 = 2 points, 25 = 1 point.
    4.4:   1-4, 8 = 1 point each, 9 = 2 points, 20 = 2 points, 24 = 2 points.
    4.5:   2 ,4, 6, 7, 10, 12, 19, 21, 25 = 1 point each.

   Due Wednesday, October 11:
     4.1   1, 7 , 9, 10 , 15, 16, 19, 21, 25, 26, 31, 33, 37, 38
     4.2   5, 6, 9, 15, 16, 24, 25, 27, 29
  Grading: 18 possible, distributed as follows:
     4.1   10 = 1 point, 16 = 1 point, 19 = 2 points, 26 = 2 points, 31 = 2 points, 33 = 1 point.
     4.2   6 = 2 points, 9 = 1 point, 15 = 2 points, 16 = 2 points, 27 = 2 points.

   Due Friday, September 29:
     3.6   3,13,17,21,33
   Grading: 6 points, distributed as follows:
     3.6   3 = 1 point, 13 = 1 point, 17 = 1 point, 21 = 1 point, 33 = 2 points.

   Due Wednesday, September 27:
     3.4   3, 5, 7, 10, 13, 19, 31, 32, 34, 39, 44
     3.5   5, 6, 9, 11, 25, 30, 32
   Grading: 17 points, distributed as follows:
     3.4   5 = 2 points, 10 = 1 point, 19 = 2 points, 32a = 2 points, 32b = 1 point, 39 = 1 point.
     3.5   6 = 2 points, 11 = 2 points, 25 = 2 points 30 = 2 points.

   Due Wednesday, September 20:
     Go to class Maple page for links to Sept 13 handout on numerical techniques, as well as Sept 18 handout on Maple linear algebra. You should work the chapter 3 problems by hand in order to learn the algorithms, but you are encouraged to check your work on a graphing calculator, via maple or via matlab.
     2.4   5
     2.5   5, 25
     2.6   5  
     3.1   1, 2, 9, 16, 17, 19, 23, 27, 32, 33, 34
     3.2   7, 9, 13, 15, 17, 29 , 30
       Book's answer to 17 is wrong. A correct answer is x1=41-2t, x2=-18+t, x3=37-3t, x4=t, where t is any real number.
     3.3   13, 15, 17
   Grading: 30 points; 16 points from Chapter 2 and 14 from Chapter 3, distributed as follows:
     2.4:   5 = 6 points (2 points for exact solution, 2 points each for h=.1 table and h=0.05 table)
     2.5:   5 = 2 points, 25 = 6 points (2 points each for h=.2 and h=.1 tables, 1 point each for figuring out ascent time and velocity at time of landing)
     2.6:   5 = 2 points
     3.1:   9 = 2 points, 16 = 2 points, 27 = 2 points, 32 = 2 points
     3.2:   13 = 2 points, 17 = 2 points
     3.3:   17 = 2 points.

   Due Wednesday, September 13:
     2.1:   1, 6, 8, 9, 11
     2.2:   5, 7, 9, 12, 14
     2.3:   2, 9, 11, 17, 18.
   Grading: 21 points, distributed as follows:
     2.1:   1 = 2 points, 6 = 2 points, 9 = 2 points.
     2.2:   7 = 3 points, 12 = 3 points, 14a = 1 point, 14b = 2 points.
     2.3:   2 = 2 points, 9 = 2 points, 11 = 2 points.

   Due Wednesday September 6
     1.4:  3, 9, 12, 14, 19, 20, 22, 37, 45, 54, 55, 60
     1.5:   1, 7, 13, 34, 36, 38, 41
   Grading: 18 points, distributed as follows:
     1.4:   9 = 1 point, 20 = 2 points, 37 = 2 points, 45 = 2 points, 54 = 2 points.
     1.5:   7 = 2 points; 13 = 2 points, 38 = 3 points, 41 = 2 points.

   Due Wednesday, August 30:
     1.1:  3, 6, 15, 16, 19, 27, 31, 34, 35, 36
     1.2:   6, 7, 13, 18, 19, 21, 25 (replace dy/dx by dv/dt), 27, 29, 30, 35
     1.3:   3, 6 (also verify that y(x) = x + Cexp(-x) solves the D.E.), 10, 11, 12, 18, 21, 23 32, 33.
   Grading: 20 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:   12 = 2 points; 21 = 1 point; 23 = 1 point.