Differential Equations
Math 2250-4
Spring 2011
Homework Page

2250-4 home page
Department of Mathematics
College of Science
University of Utah

Homework assignments will be posted on Fridays, a week before they are due - you will have a weekly quiz based on the homework problems and the concepts they test, at the start of class on Fridays. A subset of the weekly homework problems are underlined, and you will hand in carefully written up solutions to this subset for grading, also at the start of class on Fridays.
    homeworkguidelines.pdf for written homework (thanks to Victor Camacho).

Due January 13
    hw1.pdf
      textsections1.1-1.2.pdf , for students who don't have their books yet.
      texthw1.1-1.2.pdf, just the section 1.1-1.2 homework problems. Ignore the markings I've made next to various problems through the years - your correct assignment is the one shown above.
   hw1sols.pdf solutions
   Grading: 20 points, distributed as follows:
     1.1:  36 = 1 point, 46 = 3 points, w1.1ab = 1 point each.
     1.2:  20 = 2 points, 26abc, 30ab, 36, w1.2abc, w1.3abc = 1 point each.

Due January 20
    hw2.pdf  Postpone 1.5.33, 36, 38 until next week's hw.
      text1.3-1.5.pdf  text sections, in case you don't have your text yet.
    hw2sols.pdf solutions
   Grading: 20 points, distributed as follows:
     1.3:  14, w2.1 = 2 points each; w2.2abcd = 1 point each .
     1.4:  20, 40, 46, 54 = 2 points each
     1.5:  20, 41 = 2 points each.
    Maple Introduction: Read the .pdf's of the notes below. Open Maple, and use the "open URL" menu item to open the actual Maple worksheets (*.mw), and work through the examples they contain. Try to modify the example commands and see if you get what you expect. There is nothing to hand in from this portion of your assignment.
     mapleintro.pdf
     mapleintro.mw
     maplecommands.pdf
     maplecommands.mw
     Professor Gustafson's Maple page   which contains a different introduction to Maple (item 8), as well as a discount code for students who choose to purchase Maple (item 10).

Due January 27
    maplehw1.pdf is part of your homework. Please submit your .mw Maple file on-line through our CANVAS page. (You access this through our Campus Information System www.cis.utah.edu.) Your file should be written so that when we use the "execute worksheet" option, all the output of your commands will regenerate. If you fear that your file may become corrupted during submission, you may also enclose a .pdf of the Maple file that includes all of the output. The last Maple intro sessions are in LCB 115 on Monday 1/23 9:30-10:30 a.m., 4-4:50 p.m.; Tuesday 1/24 11:35-12:25; Wednesday 1/25 3-3:50 p.m.
     maplehw1.mw open this file from Maple.
    hw3.pdf is the rest of your homework.
      EP3.7.pdf supplemental electrical circuits section, for hw.
    hw3sols.pdf solutions
   Grading: 20 points, distributed as follows:
     1.5:  36ab = 2 points each.
     2.1:  12 = 2 points, 23a = 1 point, 23b = 2 points, w3.1 = 3 points
     2.2:  23ab = 1 point each, w3.2 = 3 points.
     EP3.7:  7a = 2 points, 7b = 1 point.

Due February 3
    hw4.pdf 
    hw4sols.pdf solutions
   Grading: 20 points, distributed as follows:
     2.3:  2.3.2ab = 1 each, 10, 12, 13, 14, 17 = 2 points each; 24ab = 1 point each, 36ab = 2 points each.
     2.4:  5= 2 points;
     w4.1ab = 2 points each.

Due February 6 Monday, at 11:59 p.m.
    maplehw2.pdf  maplehw2.mw computer software project on numerical methods for solving DE's, sections 2.4-2.6. You may use Maple, Matlab or Mathematica. If there is other software you prefer to use, ask me. In all cases, upload your file(s) to CANVAS, with output removed and with comments or text fields explaining which problems are being answered.
    If you use Maple, the Maple commands file linked at the first Maple assignment might be useful, as well as the notes from class on Tuesday January 31: jan31.mw   jan31.pdf  
    If you use Matlab, you might find the links to a Matlab introduction, commands, and Euler method discussion helpful, on page from Victor Camacho's Math 2250-2 fall 2011 home page.
   Note: I will be in my office LCB 204 on Friday Feb 3 p.m. from 1-4 p.m. If you're working in the Math Student center lab and the lab assistants can't help you, please come by my office (or call it at 581-7318), and I can come to the lab and give suggestions. I've also reserved the Marriot Mac lab 1745 on Saturday from 1-4 p.m., and will be available there if you wish to work on (and hopefully complete) your project assignment then.

Due February 10
    hw5.pdf 
    hw5sols.pdf solutions
   Grading: 20 points, distributed as follows:
     3.1:  16 =1 point, 24 = 2 points, 34 = 3 points;
     3.2:  20= 2 points;
     3.3:  34 = 2 points.
     3.4   10 = 1 point, 32a = 1 point, 32b = 2 points, 40ab = 1 point each, w5.1bc = 2 points each.

Due February 15 Wednesday (exam Thursday)
    hw6.pdf  Kishalya will hold a homework problem session in LCB 215, Tuesday 3:30-4:30.
    hw6sols.pdf solutions
   Grading: 20 points, distributed as follows:
     3.5   w6.1ab =1 point each, cd = 2 points each;  w6.2, p 201.6 = 2 points each;
     3.6:  6 = 2 points, w6.3abc = 2 points each, de = 1 point each.

Due February 24
    hw7.pdf  postpone w7.7, w7.8 until next week.
    hw7sols.pdf 
   Grading: 20 points, distributed as follows:
     w7.1bc = 2 points each; w7.2a = 1 point, b, c = 2 points each; w7.3ab = 1 point each.
     4.2.4 = 1 point; 4.2.6, w7.4, w7.5, w7.6 = 2 points each.

Due March 2
    hw8.pdf 
    hw8sols.pdf 
   Grading: 20 points, distributed as follows:
     w8.1abc = 2 points each.
     5.1: 12 = 2 points.
     5.2: 8, 16 = 2 points each. w8.3bcfg = 2 points each.

Due March 9
    hw9.pdf  In an earlier version of the hw, the value of damping coefficient "c" in w9.3d was given as c=5. It should be c=10. Also, I decided that w9.1e was harder than necessary as written, so I've changed it to y(7)+8y(5)+16y(3)=0 rather than the original y(7)+4y(5)+16y(3)=0.
    hw9sols.pdf 
   Grading: 20 points, distributed as follows:
     5.3: w9.1abcde = 1 point each, w9.2 = 2 points.
     5.4: 10 = 3 points, w9.3abcde = 2 points each.

Due March 23
    hw10.pdf 
    hw10sols.pdf 
   Grading: 20 points, distributed as follows:
     5.5: w10.1 c= 1 point, d = 2 points, e = 1 point, f = 2 points; 43 = 2 points.
     5.6: 22, w10.2ab, w10.3be, w10.4 = 2 points each.

Due Wednesday March 28 because our second exam is Thursday
    hw11.pdf 
    hw11sols.pdf 
   Grading: 20 points, distributed as follows:
     10.1: w11.1, w11.2 = points each; w11.3ab, w11.4ab = 1 point each.
     10.2-10.3: 10.2.2= 2 points, 10.3.20 = 3 points, 10.3.30 = 3 points; w11.5a = 2 points, w11.6 = 2 points.

Due April 6
    hw12.pdf 
    EP7.6.pdf  Edwards-Penney section on impulses and the delta function.
    hw12sols.pdf 
   Grading: 20 points, distributed as follows:
     10.4-10.5: 10.4.26, 36 = 2 points each. w12.1a, 12.2, 12.3 = 2 points each.
     6.1-6.2: w12.4abc = 2 points each; w12.5ac = 1 point each, b = 2 points; w12.6 = 1 point.

Due April 13
    hw13.pdf 
    hw13sols.pdf 
   Grading: 20 points, distributed as follows:
     7.1: w13.1abcdefg = 1 point each.
     7.2: 16 = 2 points, 25 = 1 point.
     7.3: 34 = 4 points, w13.3 = 3 points, w13.4 = 3 points.

Due April 20
    hw14.pdf 
       I updated the Maple commands file to include some systems of differential equations:
         maplecommands.pdf
         maplecommands.mw
    hw14sols.pdf 
   Grading: 20 points, distributed as follows:
     7.3: w14.1 b = 1 point, d = 4 points, e = 1 point, f = 2 points.
     7.4: 2 , 8, 12, 18, w14.2a, w14.4 = 2 points each.

Due April 27 by noon.
    hw15.pdf
    hw15sols.pdf 
   Grading: 20 points, distributed as follows:
     9.1-9.3: w15.1 ab, w15.2abcd = 2 points each.
     9.4: 14 = 2 points; w15.3bc, w15.4 = 2 points each.

Due April 30 Monday. Optional (extra credit) earthquake project, to be submitted by midnight.
    quakeproj.pdf  quakeproj.mw