Kevin Milans : Teaching : Fall 2018 Math261: Elementary Differential Equations

Kevin Milans (milans@math.wvu.edu)
Office: Armstrong Hall 408H
Office Hours: MW 2:30pm-3:20pm, Thurs 11:30am-12:30pm, and by appointment
Class Meetings: MTWF 1:30pm-2:20pm in Armstrong Hall 121

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Homework

General Guidelines and Advice

All problem numbers refer to Elementary Differential Equations and Boundary Value Problems by Boyce and DiPrima, Tenth edition. Beware: an eleventh edition has been published.
All work that you submit under your name should be your own. You may discuss these problems with me and with friends/colleagues also registered in our section.
To receive full credit for a problem, a solution must include the steps taken to obtain the result, and the logic which justifies the steps must be sound. It is not enough to conclude with the correct answer; the path to the answer must also be correct.
Most learning occurs while working on homework problems. Resist the temptation to bend or break the guidelines above to earn a few homework points at the expense of true learning. The quizzes, tests, and exams are weighted more heavily than homeworks.
If you get stuck, then please feel free to see me in office hours or contact me via email.
Answers to most questions are available at the end of the book.
The following link has additional resources that may be helpful.

No.	Due Date	Sections	Problems
1	Aug 21	1.1, 1.2	1.1: 1, 3, 11, 13, 21, 26, 27 1.2: 1, 7--10, 15, 16, 19
2	Aug 28	1.3, 2.1, 2.2	1.3: 1, 3, 5, 7, 14, 17 2.1: 13, 15, 16, 18, 20, 31 2.2: 1, 3, 5, 15, 17, 31(a,b), 32(a,b)
3	Sep 5	2.3-2.5	2.3: 2, 7, 8, 16, 26, 29 2.4: 1, 3, 4, 7, 13, 28 2.5: 3, 4, 17(a), 18 Hint 2.5 #18: compute (1) volume V as a function of water level x and (2) surface area S as a function of water level x. Then use these identities to find S in terms of V.
4	Sep 11	2.5,2.6	2.5: 15(a), 22 2.6: 1,3,5,7,9,11,13,19,21,22,25,27
5	Sep 18	2.7,3.3	2.7: Parts (a) and (d) of 1--4 3.3: 1--6 Using the substitution v = x + y, solve the differential equation y' = (x + y)² with initial condition y(0) = 0. Where is/are vertical asymptote(s)?
6	Sep 25	3.1-3.3	3.1: 1,3,5,7,9,11,17,21 3.2: 1,3,6,17 3.3: 7,9,11,14,17,18
7	Oct 2	3.4,4.2,3.5	3.4: 1-4,11,12,23,24 4.2: 11-14 3.5: 1,2,3,9,15
8	Oct 9	3.6,3.7	3.6: 5,7,9,10,11,13,14 3.7: 1,2,6,7,11
9	Oct 16	3.8	3.8: 1,2,5,7,11 Note: With material covered before break, you should be able to do 5, 7(a,b), and 11.
10	Oct 23	6.1, 6.2	6.1: 6,7,9,10,13,14 6.2: 1-8, 11-14
11	Oct 31	6.3,6.4,7.2	6.3: 9(b),10(b),15,16,19-22 6.4: 1-8 7.2: 10-12, 21, 22
12	Nov 7	7.3,7.5	7.3: 1,2,16-23. 7.5: 1-4,7,9-12,15,17. Note: your solutions may involve complex numbers.
13	Nov 27	7.6,7.8,10.2	7.6: Part (a) of 1,2; 7-10. 7.8: Part (c) of 1,2; Part (a) of 5, 6, 8, 11 10.2: 1,3,13-16
14	Dec 5	10.4,10.5	10.4: 1-4, 7, 15, 21, 22 10.5: 1-3, 7, 9, 10

milans@math.wvu.edu