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Differential Equations
2250-010 home page
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After the first week, homework assignments will be posted on Fridays, a week before they are due - you will have a weekly quiz based on the homework problems, lab work, and the concepts they test, at the start of class on Fridays. A subset of the weekly homework problems are underlined and bold-face, and you will hand in carefully written up solutions to this subset for grading, also at the start of class on Fridays. There will also be lab worksheets. Some of the problems on these worksheets will be from the homework due Friday. Other problems will be handed in separately, before the start of class on Wednesdays.
homeworkguidelines.pdf for written homework (thanks to Victor Camacho).
Due January 10
hw1.pdf textbook problem 1.2.40, the river problem, is postponed until next week.
Sections_1.1-1.3.pdf and Sections_1.3-1.5.pdf of the text, for students who don't have the textbook yet.
hw1sols.pdf
grading: 20 points, distributed as follows
1.1: 6, 15, 29, 34 = 2 points each;
1.2: 6, 18 = 2 points each; 26abc = 1 point each; w1.2bc = 1 point each. w1.3a = 1 point, b = 2 points.
Week 1 lab partly homework due January 10, along with lab problems due January 15.
lab1.pdf
lab1sols.pdf solutions
Due January 17
hw2.pdf
hw2sols.pdf
grading: 20 points, distributed as follows
1.3: 24 = 2 points; w2.1abcd = 1 point each.
1.4: w2.2abc, 20 = 1 point each; 42, 45 = 2 points each; 50bc= 1 point each
1.5: 8, w2.3 = 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
Week 2 lab partly homework due January 17, along with lab problems due January 22. because of the short week, the lab due date has been extended to January 24, by the start of class.
lab2.pdf
lab2sols.pdf solutions
Maple introduction sessions In LCB 115
Friday January 17, 9:40-10:30 a.m.
Tuesday January 21, 3:30-5:00 p.m.
Due January 24
hw3.pdf
EP3.7.pdf supplemental electrical circuits section, for hw.
hw3sols.pdf
grading: 20 points, distributed as follows
1.5: 36ab = 2 points each.
EP 3.7: 7a = 2 points, 7b = 1 point.
2.1: 3, 12 = 2 points each; 23a = 1 point, b = 2 points; w3.1 = 2 points
2.2: w3.2a = 2 points, b, c = 1 point each.
Week 3 lab partly homework due January 24, along with lab problems due January 29.
lab3.pdf
lab3sols.pdf solutions
Due January 31
hw4.pdf Note: 2.3.25, 2.3.26, 2.4.6, 2.5.6, 2.6.6 are no longer required.
hw4sols.pdf
grading: 20 points, distributed as follows
2.3: 2, 3, 9, = 2 points each; 10 = 5 points; 13, 14, 19 = 3 points each.
Week 4 lab partly homework due January 31, along with lab problems due February 5.
lab4.pdf
Here are four Matlab files which can be used to compute Euler, improved Euler, and Runge-Kutta numerical approximations for solutions to first order differential equation initial value problems. When using Matlab you create a directory containing all Matlab files relevant to the given project, and call the various functions from the Matlab command window.
euler_2250.m improvedeuler_2250.m rungekutta_2250.m frhs.m
Here are three Maple files which can be used to compute Euler, improved Euler, and Runge-Kutta numerical approximations for solutions to first order differential equation initial value problems. The commands mirror those in the Matlab files above, so you can notice the various syntax differences between the Maple and Matlab dialects of mathematical programming. The ".mw" files are the Maple worksheets, to download and open with Maple. The ".pdf" versions are printouts of these files (including the output), that you can view with your browser.
euler_2250.mw improvedeuler_2250.mw rungekutta_2250.mw
euler_2250.pdf improvedeuler_2250.pdf rungekutta_2250.pdf
Due February 7
hw5.pdf Note: the section 3.4 homework has been moved to next week's homework.
hw5sols.pdf
grading: 20 points, distributed as follows
3.1: 4, 16, 28, 34 = 2 points each.
3.2: 20 = 2 points
3.3: 20, 34 = 2 points each, w5.1 = 4 points, w5.2 = 2 points
Week 5 lab partly homework due February 7, along with lab problems due February 12.
lab5.pdf
Due Wednesday February 12 by 5:00 p.m., because our first exam is on Friday February 14.
hw6.pdf
hw6sols.pdf
grading: 20 points, distributed as follows
3.4: 10 = 1 point, 32b = 2 points, 40ab =1 point each.
3.5: w6.1abcde = 1 point each, w6.2 = 3 points.
3.6: w6.3abc = 2 points each, e = 1 point.
Due February 21
hw7.pdf
hw7sols.pdf
grading: 20 points, distributed as follows
4.1-4.3: w7.1a = 1 point, b,c = 2 points each, d = 1 point; w7.2abc = 2 points each; w7.3ab = 2 points each; w7.4, w7.5 = 2 points each.
Week 7 lab partly homework due February 21, along with lab problems due February 26.
lab7.pdf
Due March 3 Monday at 5:00 p.m.
hw8.pdf
hw8sols.pdf
grading: 20 points, distributed as follows
4.2: 12 = 1 point
4.4: 2, 4 = 1 point each. w8.1abc = 2 points each
5.1: 10, 14, 27, w8.3ab = 1 point each
5.2: 8, w8.4ac = 1 point each; w8.5bdf = 1 point each.
Week 8 lab two of the key homework problems from hw8.pdf
lab8.pdf
Due March 7
hw9.pdf
hw9sols.pdf
grading: 20 points, distributed as follows
5.3: w9.1abd, w9.2 = 2 points each; w9.3b = 1 point, c = 2 points; w9.4ab = 1 point each.
5.4: 4 = 3 points; 10, 15 = 2 points each.
Week 9 lab partly homework due March 7, mostly lab problems due March 19.
lab9.pdf
Due March 21 Due date extended to Monday March 24, at 5:00 p.m. Problems 5.5.52, 5.5.58, 5.6.22 are cancelled or postponed until after the midterm, and corrections have been made to w10.1de.
hw10.pdf
hw10sols.pdf
grading: 20 points, distributed as follows
5.5: w10.1bc = 1 point each; d = 2 points, e = 1 points; 5.5.43 = 2 points.
5.6: 5.6.20 = 1 point, w10.2cd = 2 points each; w10.3bd = 2 points each; w10.4ab = 2 points each.
Week 10 lab homework problems w10.2, w10.3, w10.4, due March 24
lab10.pdf
Due Wednesday March 26 by 5:00 p.m., because our second exam is on Friday March 28.
hw11.pdf
hw11sols.pdf
grading: 20 points, distributed as follows
10.1-10.3: w11., w11.2, w11.3a = 2 points each; w11.3b = 1 point, w11.4a = 2 points, w11.4b = 1 point; w11.5, w11.6, w11.7ac, w11.8a = 2 points each.
Due Monday April 7 by 5:00 p.m.
hw12.pdf
hw12sols.pdf
grading: 20 points, distributed as follows
6.1-6.2: w12.1abcde = 2 points each, w12.2a = 1 point, w12.2b = 2 points.
Laplace: w12.4 = 1 point, 10.5.32 = 2 points, w12.5a = 2 points, 10.4.37 = 2 points.
Week 12 lab homework problems w12.4, w12.5 due Monday April 7 with the rest of the homework, and lab problems due Wednesday April 9 at start of class
lab12.pdf
convolveToSolve2250.m Matlab for numerical solution of forced oscillation problems via convolution
EP7.6.pdf supplemental Edwards-Penney section on convolution solutions and impulse function forcing.
Due Monday April 14 by 5:00 p.m.
hw13.pdf
hw13sols.pdf
grading: 20 points, distributed as follows
7.1: 2, 8, 26 = 1 point each; w13.1bceg = 1 point each
7.2: 23, w13.2a = 2 points each
7.3: w13.3 = 3 points, w13.4abc = 1 point each, d = 3 points.
Week 13 lab extended homework problem w13.4, due as part of regular homework on Monday April 14
lab13.pdf
Due Friday April 18 by 5:00 p.m.
hw14.pdf
hw14sols.pdf
grading: 20 points, distributed as follows
7.4: 2 = 2 points, 8 = 3 points, 12, 16 = 2 points each, 18 = 3 points, w14.1ab = 2 points each, w14.2 = 2 points, 2 points free.
Week 14 lab 7.4.2, 7.4.8, w14.1, due as part of regular homework on Friday April 18 at 5:00 p.m.
lab14.pdf
Due Wednesday April 23 by 5:00 p.m.
hw15.pdf
hw15sols.pdf