Homework Assignments
MAP 2302, Sections 3227 & 3615 -- Elementary Differential Equations
Fall 2002


Last update made by D. Groisser Sun Dec 22 16:57:29 EST 2002

Homework problems and due dates (not the dates the problems are assigned) are listed below. This list, especially the due dates, will be updated frequently, usually in the late afternoon or evening the day of class or the next morning. Due dates and assignments more than one lecture ahead are estimates; in particular, due dates may be moved either forward or back, and problems not currently on the list from a given may be added later (but prior to their due dates, of course).

Exam dates and some miscellaneous items may also appear below.

If one day's assignment seems lighter than average, it's a good idea to read ahead and start doing the next assignment, which may be longer than average.

Unless otherwise indicated, problems are from our textbook (Nagle, Saff, & Snider, 3rd edition). It is intentional that some of the problems assigned do not have answers in the back of the book or solutions in a manual. An important part of learning mathematics is learning how to figure out by yourself whether your answers are correct.

Read the corresponding section of the book before working the problems. Don't just read the examples, and don't just try the homework problems and refer to the text only if you get stuck.




Date due Section # / problem #'s
W 8/28/02 Read the syllabus and the web handout "Taking notes in a college math class"
W 8/28/02 1.1/ 1-16. Also, do non-book problem #1. Note: if you have a problem viewing any of my PDF files, check your version of Adobe Acrobat at http://www.adobe.com/products/acrobat/ . The "download" section has a link that downloads the Acrobat 5.0.5 update. I am told by our computer guru that older acrobat readers 4.x seem to read fine, as does 5.0.5 (which is the latest version), but that the intermediate 5.0 or 5.0.x versions have some problems.
F 8/30/02 1.2/ 1-5, 10, 11, 14, 15, 19. Also, read the handout "What is a solution?", obtainable from the Web.Also, do non-book problem #2.
W 9/4/02 1.2/ 18, 23, 27, 29, 30
W 9/4/02 Read sections 2.1 and 2.2. In your reading, make sure you understand the discussion on pp. 49(bottom)-50. Do problems 2.2/1-5.
F 9/6/02
2.2/ 6, 8, 9, 11, 13, 16-18, 22, 23. You could also get started on the problems from section 2.2 due Monday.
M 9/9/02
2.2/ 27abc, 29, 30-34
2.3/1-6, 7, 8, 13-15, 17-20, 23, 24, 27a, 28, 30
W 9/11/02
2.3/31-35. In #33, note that what you might think is only a minor difference between the DE's in parts (a) and (b)--a sign-change in just one term--drastically changes the nature of the solutions. When solving differential equations, a tiny algebra slip can make your solutions utter garbage.

Read section 2.4 through the statement of Theorem 2 (p. 66). Do problems 2.4/1-8.


F 9/13/02
Read the rest of section 2.4 and do problems 2.4/11, 12, 16, 17, 19, 20-22 (note that #22 is the same DE as #16, so you don't have to solve a new DE, you just have to incorporate the initial condition into your old solution), 27a, 28a,32.
M 9/16/02
Read the handout "A terrible method for solving exact equations", obtainable from the Web.

Read section 2.6 and do problems 2.6/1-8. If you feel ready to do more problems from 2.6, move on to the next assignment. (For now, we are skipping section 2.5. If time permits, we'll come back to it later in the semester.) Since you have no problems to do for this assignment, use your time wisely by starting to review for next week's exam (see note at end of next assignment).


W 9/18/02
2.6/ 9-13, 16, 21, 24, 28. Note: unlike the book problems, your exam problems will not come with any hints as to what method to use on which problem. Take this into account when you study.
F 9/20/02
FIRST MIDTERM EXAM
M 9/23/02
2.6/29, 32. We did not go over this method in class, but you should be able to do the problems based on your reading.

Read section 4.1. (We are skipping Chapter 3.)


W 9/25/02
Read section 4.2 through Example 1 on p. 163. Do problems 4.2/1-8.
F 9/27/02
Finish reading section 4.2 and do problems 4.2/ 9-13, 15, 16, 19, 20. Note: the notation in 9 and 10 is convenient, and is commonly used, but some of it is imprecise. For example, 9a should say L[cos](x), not L[cos x]. Writing 9b and 9c more precisely is clumsier, since unlike "cos", the functions that are input into L don't have a short name. One way to state 9b more precisely is to write the entire phrase "L[f](x), where f(x) = x-1". The authors should have gotten around this problem by making the intructions say "Compute L[f](x) for each of the following functions f:
(a) f(x) = cos x; (b) f(x) = x-1; (c) f(x) = xr, where r is a constant."
M 9/30/02
4.2/ 23-26, 27, 32, 34a, 35, 36. (Note: For notational precision, 25 and 26 should say L[y](x)=..., not L[y]=... )

For those of you who want to see how your score on the exam compared with the scores of your classmates, there's a link on your grade scale page ( 6th period or 8th period ).


W 10/2/02
Read the the definition of the Wronskian (Definition 1, p. 170) and the paragraph following Definition 1. Also read p. 172 through Example 2. Do problems 4.3/ 1-6.
F 10/4/02
Do the exercise assigned in class (equivalence of two definitions of linear dependence/independence of a list of n functions). Also do problems 4.3/ 7a,8a,9a,10a, 16, 17, 18, 24, 25, 26. We have not discussed the Wronskian in class yet, but since you already read about it for Wednesday, you are ready for problem 18d.
M 10/7/02
4.3/ 7-10 parts b and c; 13, 31.
Read section 4.5 (yes, 4.5) through Example 4. If you feel comfortable with the material, start working some of the problems that are due Wednesday. You will have a lot more problems to work this week than last.

Note 1: We are skipping 4.4 for now but will return to it later.

Note 2: The book mentions that the "auxiliary equation" is also called the "characteristic equation". The latter terminology is much more common and I will use it exclusively; this is the only DE textbook I've seen that uses the term "auxiliary equation".


W 10/9/02
4.5/ 1-7, 13-16, 21,22, 53

Read section 4.6


F 10/11/02
4.6/ 1, 3, 5, 6, 9-12, 28, 31ab, 36-38

4.7/1-10


M 10/14/02
4.7/ 11,12,16,17; in #17, delete the word "general". Note that in 11, 12, and the modified 17 you are asked to find only a solution to each problem, not the general solution.
W 10/16/02
SECOND MIDTERM EXAM. Note: because of a 10:00 dental appointment, my Wednesday office hour this day is cancelled. Instead, I will have an extra office hour Tues., Oct. 15, 3:30-4:30 p.m.. I may be in my office and available to students for some portion of Wed. 4th period, but I can't promise anything that morning. Students are strongly advised to do their studying early enough that they can come to me with any questions by Tuesday.
F 10/18/02
Read Example 2 of section 4.8 and do problems 4.8/ 1-4,11,13,27,28,30 (hint for numbers 1, 2, and 28: for what a is the right-hand side of the form "constant times eax" ?).
M 10/21/02
In section 4.8, read Examples 1, 3, 4, and 5, plus the material in between examples 1 and 2, 3 and 4, and 4 and 5. Do problems 4.8/6-8, 10, 14, 15, 18, 20, 22, 23.
W 10/23/02
Read the remainder of section 4.8. If you feel ready, start the problems from 4.8 that are due Friday. If not, use this time to catch up, to review (preferably rewrite) your notes, or to get ahead (or catch up) in other classes.
F 10/25/02
4.8/9, 12, 17, 19, 21, 29, 33-38 (do 33-38 with as few undetermined coefficients as possible), 39-44.
M 10/28/02
Read sections 6.2 and 6.3 (these are the sections most closely related to what we did in class on Friday). At some point I will assign problems from 6.2 and 6.3, but not yet. The next section that we'll be covering is 4.9.
W 10/30/02
6.2/ 1, 13, 15-18.
F 11/1/02
4.9/ 1-6,10,13,14,18,22.
M 11/4/02
4.4/ 3, 5, 6, 10ac.

Read sections 4.11 and 4.12.


W 11/6/02
4.11/ 1, 6, 9, 13. Numbers 6, 9, and 13 involve the damped case, which we did not get to analyze in class, but you should be able to do the problems based on your reading.

Read section 6.1 and review sections 6.2-6.3.

On Wednesday, Dr. Tiep will teach the 6th-period class, and Dr. Pilyugin will teach the 8th-period class. Both Dr. Tiep and Dr. Pilyugin are excellent teachers; do not miss their lectures. Whatever they cover is fair game for next week's exam.


F 11/8/02
6.1/ 7-10,13,14,15,16,18

6.2/ 4, 9, 20

6.3/ 5-10.


W 11/13/02
THIRD MIDTERM EXAM. Note: I will be out of town on Wednesday, so my Wednesday office hour this day is cancelled. I will have an office hour on Monday Nov. 11 (even though UF is closed that day) from 2:00-3:00 p.m. I will also have my usual office hour Tuesday morning. Students are strongly advised to do their studying early enough that they can come to me with any questions by Tuesday morning.
M 11/18/02
Re-read section 4.12; we will discuss it on Monday. If you want to read further ahead, start reading Chapter 7.
W 11/20/02
4.12/ 3, 9

Read sections 7.1 and 7.2


F 11/22/02
No new homework (but make sure you've done all the old homework).
M 11/25/02
7.2/ 1-7. In problems 1-7, the instruction "use Definition 1" means that you are to do the integrals, not use a table.

Important Notice Concerning Final Exam. As you may recall, earlier in the semester I said that I would prefer, in the interests of fairness and uniformity in grading, to have my two sections of MAP 2302 take their final exams together, but that this might not be logistically possible. I've now received certain relevant information from the registrar. The only dates/times for which I know that nobody in either section has a conflict with another final exam, and for which a large enough room would be available, are
  • Saturday Dec. 14, 10:00 a.m. - 12:00 noon
  • Monday Dec. 16, 10:00 a.m. - 12:00 noon
  • Tuesday Dec. 17, 10:00 a.m. - 12:00 noon
  • Thursday Dec. 19, 8:00 p.m. - 10:00 p.m.
Currently, the 6th-period class (12:50-1:40) has its final scheduled for Wed. Dec. 18, 5:30 p.m. -7:30 p.m., and the 8th-period class (3:00-3:45) has its final scheduled for Fri., Dec. 20, 7:30 a.m. - 9:30 a.m. I will change this two-exam situation to a joint final exam at one of the dates/times listed above only if such a change would not inconvenience anybody for any reason . If anyone has a problem of any sort with changing the previously announced exam schedule, then I won't change the schedule.

So, please email me (groisser@math.ufl.edu) about this, or talk to me in private about it, if, and only if, there is at least one of the four possible joint-exam dates/times that would inconvenience you in some way (in which case tell me which dates/times would be inconvenient). You do not have to justify (and please do not tell me) why you would be inconvenienced if the originally-announced schedule is changed. The reason why you would be inconvenienced is none of my business, nor your classmates', and nobody should feel compelled (even slightly) to switch the date/time of the exam just because he/she thinks it might make life easier for his or her classmates. If the current date/time of your exam works better for you than any of the four possible joint-exam dates/times above, you have a right to have the exam kept at that date/time, provided you let me know early enough (see Note #4 below). All responses will be kept confidential.

Note #1. Do not email me to tell me simply that you would prefer your exam date/time to be changed. That is not the question. Email me about this subject ONLY if you would prefer that your exam date/time NOT be changed.

Note #2. The only circumstance under which I will change the date or time of the final exams is if doing so allows me to give a joint final. For example, if it means still giving two exams at two different times, I will not change the Friday 7:30 a.m. exam to another date/time just because nobody likes the originally announced, registrar-determined, exam time that all students implicitly agreed to by registering for the 8th-period section. Similarly, if we do not have a joint exam, each student must take his or her final together with his or her class; students scheduled for the Friday exam will not have the option of taking the exam on Wednesday, or vice-versa, just because it would be more convenient for him or her to do so.

Note #3. In the plan above for gathering information on who would be inconvenienced by a switch, if I have overlooked some fairness issue, please let me know ASAP. The plan for a potential joint exam is subject to change if somebody notifies me soon enough of a fairness problem that I've overlooked.

Note #4 (IMPORTANT!). Any student from whom I have not heard by Tuesday Dec. 3 will be assumed to have no problem with any of the four possible joint-exam dates/times.


W 11/27/02
7.2/ 13-17, 21-23, 27-29.

Read section 7.3 through Example 3 and do problems 7.3/ 1-10, 31-34.


M 12/2/02
7.3/ 25

Finish reading section 7.3 and read section 7.4.


W 12/4/02
Read web handout "Partial fractions and Laplace Transform problems" (pdf file)

7.4/ 1, 4, 7, 10, 21, 24, 27, 30

Read section 7.5. You may want to get a head-start on the problems for 7.5 due Friday.


F 12/6/02

7.5/1, 4, 7, 8, 10, 19-21, 23, 25, 26.

Read section 7.6.


M 12/9/02
7.6/ 1-15, 19, 20, 29-32, 36, 37, 40.

Read section 7.8 (skip 7.7)through p. 433.



Date, Time, and Room Change for Final Exam. The registrar has approved the schedule change we discussed in class for the final exam. For both my sections of this class, the final exam will be held Monday, Dec. 16, 10:00 a.m. - 12:00 noon, in Fine Arts C room 127 (FAC 127).

I advise you to walk to the room some time in the next few days so that you're sure of the location before the day of the final. Fine Arts buildings A, B, C and D are south of Little Hall; building C is the southernmost of the four (closest to the Broward dining facility). Room 127 is on the first floor at the eastern (closest to 13th street) end of the building.


W 12/11/02
7.6/ 21, 22, 25-28, 43-46.


M 12/16/02
Final Exam 10:00 a.m. - 12:00 noon in Fine Arts C 127.


F 12/20/02
Final-exam statistics and course-grade statistics are now posted on your grade scale pages ( 6th period and 8th period ).

If you have a question about your grade or would like to look at your graded exam, please stop by my office in January; I will be back starting Jan. 3. I will not send or discuss grades by email, but email is a good way to set up an appointment with me (groisser@math.ufl.edu). At some point in early January, probably around Jan. 8, 9, or 10, my office location will change from Little 301 to Little 364 (go through the doors in front of you when you get off the elevator, then turn right and stop at the receptionist's window).



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