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Differential Equations
2250-1 home page
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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. Two of these quiz scores may be dropped. 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. There are no dropped homework scores.
homeworkguidelines.pdf for written homework (thanks to Victor Camacho).
Due August 26
1.1: 5, 6 8, 9, 15, 16, 19, 29, 32-36, 45, 46.
1.2: 6, 7, 10, 18, 20, 25, 33 34, 40.
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: 13 points, distributed as follows:
1.1: 8 = 1 point, 19 = 2 points, 46 = 3 points;
1.2: 6 = 1 point, 18, 20, 34 = 2 points each.
Due Sept 2
hw2.pdf
EP3.7.pdf supplemental electrical circuits section
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
Grading: 18 points, distributed as follows:
1.3: 14 = 2 points, w2.1abcd = 1 point each;
1.4: 20, 49, 54 = 2 points each.
1.5: 24, 36, 41 = 2 points each.
hw2sols.pdf solutions
Due Sept 9
maplehw1.pdf is part of your homework. Please submit your .mw Maple file on-line, through webct . Submit this file with output removed. 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.
maplehw1.mw open this file from Maple.
maple1sols.pdf solutions
Grading: 16 points, distributed as follows:
0 = 2 points, 1,2,3 = 1 point each; 4, 5, 6a, 6b = 2 points each; 6a, 7a, 7b = 1 point each.
hw3.pdf is the rest of your homework.
hw3sols.pdf solutions
Grading: 14 points, distributed as follows:
2.1: 10, 12 = 2 points each; 23a = 1 point, 23b = 2 points, w3.1 = 3 points;
2.2: w3.2 = 2 points, 23ab = 1 point each.
Due Sept 16
hw4.pdf
hw4sols.pdf
Grading: 16 points, distributed as follows:
2.3: 2ab = 1 point each; 10, 12, 13 = 2 points each; 24ab = 1 point each;
2.4-2.6: w4.1ab = 2 points each; 2.4.5 = 2 points.
Due Monday Sept 19 at 11:59 p.m.
maplehw2.pdf Please submit your .mw Maple file on-line, through webct, following the same procedures as last week.
maplehw2.mw open this file from Maple.
This second project may also be completed using Matlab. There are "introduction to matlab" sessions this week in LCB 115, at the following times:
T 9/13, 11:50-12:40
W 9/14, 8:35-9:25, 11:50-12:40
Th 9/15, 11:50-12:40.
Introduction to matlab notes, matlab commands, and project 2 directions for Matlab posted at Victor Camacho's 2250-2 website, http://www.math.utah.edu/~camacho/teaching/fall2011/index.html
Whether you use Matlab or Maple, in our section 2250-1 the submissions will be electronic, through webct. In the case of Maple, submit just as you did in the previous project. In the case of Matlab, create the .m matlab files as directed in the 2250-2 matlab project directions. Additionally, insert comment fields to explain which problems your code is solving, and what the answers are. Then upload these commented .m files through webct.
Due Sept 23
Do the following book problems by hand, but please use software to check any computations you wish. In addition to work which you hand in, also hand in hardcopies of technology checks (Maple, Matlab, etc.) for 3.3 20 and 3.4 16. It takes practice to get good at the algebra of matrix manipulations and to see examples of everything that can happen, so I've indicated a fair number of problems in addition to those you'll hand in.
3.1: 1, 4, 11, 16, 17, 19, 23, 24, 27, 29, 32, 33, 34
3.2: 7, 8, 9, 13, 17,18, 29, 30;
3.3: 13, 20, 33, 34;
3.4: 3, 5, 7, 10, 13, 16, 19, 27, 31, 32, 34, 39, 40, 44.
hw5sols.pdf
Grading: 17 points, distributed as follows:
3.1: 4 = 1 point; 16 = 2 points, 34 = 3 points.
3.2: 18 = 2 points.
3.3: 34 = 2 points.
3.4: 16 = 3 points (one point for tech check); 32ab = 1 point each; 34 = 2 points.
Due Sept 28 Wednesday
hw6.pdf
hw6sols.pdf
Grading: 12 points, distributed as follows:
w6.1abc = 1 point each; w6.2, p201#5 = 2 points each, 3abd = 1 point each, 3c = 2 points.
Due Oct 7
hw7.pdf
hw7sols.pdf
Grading: 18 points, distributed as follows:
w7.1abc, w7.2ab, w7.3abc = 1 point each;
4.2.4 = 1 point; 4.2.6 = 2 points;
w7.4 = 2 points; w7.5 = 1 point; w7.6 = 2 points; w7.8ac = 1 point each.
Due Oct 21
hw8.pdf
hw8sols.pdf
Grading: 20 points, distributed as follows:
w8.1ab = 2 points each.
5.1: 14, 40 = 2 points each.
5.2: 4, 8 = 2 points each;
w8.2bcde = 2 points each.
Due Oct 28
hw9.pdf
hw9sols.pdf
Grading: 20 points, distributed as follows:
5.3: 22, 38 = 2 points each.
5.4: 4, 6, 10 = 2 points each.
w9.1 = 2 points. w9.2abcd = 2 points each.
Due Nov 4
hw10.pdf
EP3.7.pdf supplemental electrical circuits section, for part of this week's hw.
hw10sols.pdf
Grading: 20 points, distributed as follows:
5.5: 2, 10 = 2 points; 32 = 3 points; 52 = 2 points each.
5.6: 8 = 3 points; 18, 22 = 2 points each.
EP3.7: 12, 17 = 2 points each.
Due Nov 9 Wednesday (exam Thursday!)
hw11.pdf
hw11sols.pdf
Grading: 20 points, distributed as follows:
10.1: 8, 20 = 2 points each.
10.2: 4, 6, 10 = 2 points each.
10.3: 20, 30, 34 = 2 points each.
w11.1: a, b = 2 points each.
Due Nov 18
hw12.pdf
EP7.6.pdf Supplementary section on impulse forces and the delta function. Also with electrical circuit interpretations.
hw12sols.pdf
Grading: 20 points, distributed as follows:
10.4: 10, 16, 30 = 2 points each.
10.5: 26 = 2 points.
w12.1 2 points.
6.1: 8, 20, 24 = 2 points each.
6.2: 4, 28 = 2 points each.
Due Nov 23 Wednesday
hw13.pdf Note: problem w13.3 is postponed until the week after Thanksgiving, i.e. will be due on Friday December 3.
hw13sols.pdf
Grading: 20 points, distributed as follows:
7.1: 2 = 1 point, 22a = 1 point (you may use solution from 13a), w13.1ab = 1 point each.
7.2: 12 = 1 point; 14, w13.2a, w13.2b = 2 points each.
7.3: 32 = 5 points: system derivation, general solution, solution to IVP, maximum amount in tank 3, graphs.
w13.4, w13.5 = 2 points each.
Due Dec 2
hw14.pdf
hw14sols.pdf
Grading: 20 points, distributed as follows:
w14.1ab = 2 points each.
7.4: 2, 8, 12, 18 = 2 points each
w14.2ab, w14.4 = 2 points each.
Due Friday Dec 9 This earthquake project has been converted into (non-required) extra credit, and can be completed any time before the end of classes - it will be worth 20 points and can replace your lowest weekly homework score (including the earlier Maple projects) from the term. Please upload your solution files to our webct page, following the same procedures as in the previous work with Maple/matlab.
quakeproj.pdf quakeproj.mw
Due Dec 9
hw15.pdf
hw15sols.pdf
Grading: 20 points, distributed as follows:
w15.1ab, 9.3.13, 9.4.14, w15.2bcd, w15.3bc, w15.4 = 2 points each.