Math 217 Spring 2001

Page Update History

March 2	Assignment 2 posted. Due March 9
Feb 18	Summary of assumed knowledge (No calculators or cheat sheets on exams.)
Feb 7	1st Order ODE practice
Jan 31	Assignment 1 posted. Due February 9
Jan 15	Page first posted. (Updates will go here.)

Sections

There are two sections. The core material is the same for both sections. Both sections take the same exams and do the same homework.

Section	Time	Location	Instructor	email	Office Hours
1	MTThF 10-11	Cupples I 218	W. Zhao	zhao@math.wustl.edu	M,Th,F: 12:30-2:00
2	MTThF 12-1	Wilson 112	B. Blank	brian@math.wustl.edu	M:2-3 T:1-2

Grading

The three evening exams scores, E1, E2, and E3, the final exam, E4, (each out of 100) and the homework, HW, will have the following relative values in making up the overall grade:

Component	Weight
E1	20
E2	20
E3	20
Homework	15
Final	25

A score S out of 100 will be calculated as follows. In the formula, N denotes the number of graded homework assignments.
S1 := 60*(E1 + E2 + E3 + 2*E4 - min(Ei: i=1..4))/400 + 25*E4/100 + 15*HW/(N*100);
S2 := 100*(60*(E1 + E2 + E3 + 2*E4 - min(Ei: i=1..4))/400 + 25*E4/100)/85;

S := max(S1,S2);
A score S out of 100 will be translated into a letter grade of A, B, C, D, F (with plus and minus shadings) in a way that is not stricter than the following table:

Numerical Range	Letter Grade
[80,100]	A
[65,80)	B
[50-65)	C
[40-50)	D
[0,40)	F

It is not likely that "curving" will be applied. There is not much point in asking about this. That is because nothing will be decided until after the final exam. However, it is prudent to assume that there will be no curving. In Fall 2000, for example, nobody received a B or an A by virtue of curving.

Neither calculators nor "cheat sheets" will be permitted on the exams.

Text

Elementary Differential Equations with Boundary Value Problems, Fourth Edition, Edwards and Penney.

Syllabus

The following lesson plan is somewhat tentative (except for the scheduled examinations). Do not print this schedule and assume that it will be in force throughout the semester. It is recommended that you check the current version periodically. The "suggested problems" are just that - suggested drill to ensure that you are following the basic concepts and procedures. They are not to be turned in. Do more or less according to your need for practice.

Week	Sections	Suggested Problems
#1 (01/16-01/19)	1.1 and 1.2	1.1: 3, 5, 6, 11, 15, 24; 1.2: 5, 6, 7, 15, 21, 27
#2 (01/22-01/2)	1.3, 1.4, and 1.5	1.3:11, 12, 17, 21-30 1.4:3-13 odd 21, 35, 45, 51, 53 1.5:1-13 odd, 33, 37
#3 (01/29-02/02)	1.6, 1.7, and 1.8	1.6:1-15 odd, 31-39 odd 1.7:3, 7, 9, 21, 25 1.8:2, 3, 4, 5, 11, 22, 23
#4 (02/05-02/09)	2.1, 2.2, and 2.3	2.1:3, 5, 9, 20-26, 29, 33, 39, 43,44, 45 2.2:1-15 odd, 21 2.3:1-11 odd, 21, 23, 27, 29
#5 (02/12-02/16)	2.4, 2.5, and 2.6	2.4:13-21 odd 2.5:1, 3, 5, 9, 13, 31, 33, 35 2.6:1, 3, 5, 11, 13
#6 (02/19-02/23) EXAM: Tuesday 6:30-8:30PM Covers 1.1-2.5 (inclusive)	2.8, 3.1, and 3.2	2.8:1, 3, 5 3.1:1, 5, 11, 13, 19, 21 3.2:1, 3, 5, 13, 17, 29
#7 (02/26-03/02)	3.3, 3.5 (pp. 247-251), and 3.6	3.3:7, 9, 11, 14, 17, 19, 27 3.5:1, 22, 23, 26 3.6:1, 3, 5, 13
#8 (03/05-03/09)	4.1, 4.2, and 4.3	4.1:1, 3, 7, 9, 13, 19, 21-31 odd, 39 4.2:1-17 odd 4.3:1-21 odd, 27, 29
03/12-03/16	Spring Break	-
#9 (03/19-03/23)	4.4, 4.5, and 4.6	4.4:1-25 odd, 29, 31 4.5:1-17 odd, 25, 26, 27, 29 4.6:1-11 odd
#10 (03/26-03/30) EXAM: Thursday 6:30-8:30PM Covers 2.8-4.6 (inclusive)	5.1, 5.2, and 5.3	5.1:1, 3, 5, 11, 13, 17, 19 5.2: 1-13 odd, 39 5.3:3, 5, 11, 15, 19, 21-27 odd
#11 (04/02-04/06)	5.4, 5.5, and 5.6	5.4:1, 3, 5, 11, 13, 17, 21 5.5:1, 3, 5, 11 5.6:1-13 odd, 23, 25
#12 (04/09-04/13)	5.7, 5.8, and 6.1	5.7:1-13 odd, 21-27 odd 5.8:1-7 odd 6.1:5 (h = 0.1)
#13 (04/16-04/20)	6.2, 6.3, and 6.4	6.2:5 (h = 0.1) 6.3:5 6.4:1
#14 (04/23-04/27) EXAM: Thursday 6:30-8:30PM Covers (5.1 -6.4 inclusive)	8.1, 8.2, 8.3, and 8.4	8.1:3, 5, 10, 13-19 odd 8.2:1-13 odd 8.3:1-15 odd 8.4:1-9 odd
FINAL EXAMINATION	WEDNESDAY, 9 May 2001 3:30 - 5:30 PM	Please verify in Course Listings

Maple Worksheets

You may make and retain electronic copies of the resources that are made available provided you do not modify them. In particular you may not remove the authorship section.

Please do not make hard copies of these documents. They are intended to be viewed in a monitor. There is no good reason for wasting resources by printing them.

Maple uses the name "worksheet" to refer to a generic Maple document. There is no work for you to do in any of the posted worksheets. In particular, the worksheets in the following table are not homework assignments! The following worksheets correspond to the indicated section of Edwards and Penney. Using Netscape for Windows, right click on an icon. Choose "Save Link as". Make sure to include the mws extention in the filename. Maple worksheets are platform independent so do not worry if you think differently. If you do a regular click on an icon then you will bring up an ASCII file that your browser can display but not decode. To view these worksheets as intended, please use either Maple or the MapleV Release 4 Demo. Newer releases of Maple will open the R4 worksheets, prompting you for an update.

Section	Maple V R4	Maple 6 (Not Yet Available)
1.1
1.2
1.3
1.4
1.5
1.6
1.8
2.5
4.1-4.6
5.1-5.8

The following worksheets are intended to serve as introductions to various aspects of the general use of Maple.

Topic	Maple V R4	Maple 6 (Not Yet Available)
Functions and Derivatives
Solving Equations

Homework

Before beginning your first homework assignment, you are cautioned to read the statement of academic integrity that, with the following exception, will be in force.

Exception: Violations will be referred to the Academic Integrity Committee of the School of Arts and Sciences, not the Discipline Committee of the School of Engineering and Applied Science.

Homework Groups:
You may do the homework by yourself if you wish. If you prefer, then you may form a homework group with one other student. In no circumstances will a group with more than two members be permitted. One homework (with two names) should be turned in per homework group.

Homework groups are not intended as a device to share labor. It is not permitted that you do an assignment and your partner does the next. If your partner has not contributed significantly to the assignment, then you must acknowledge any help he may have provided, but you must not submit the homework as a joint effort. If you do, then you will be in violation of academic integrity.

Homework that is to be turned in is to be downloaded from this page. The homework will be assigned in the form of Maple worksheets. Maple is a computer algebra system that is installed in the Arts and Sciences computer lab (which is open on a walk-in basis to students of all academic divisions). Maple is also installed in the CEC (engineering) lab which is restricted to engineering students. (Here is the information that I have received on the cec version.)

It is no longer sensible to do differential equations by hand only. That is why computer work has been included in this differential equations class. It is a separate component of the coursework. The assignments are not intended to give you practice for the exams. Their purpose is to expose you to problems for which hand solutions would be unfeasable or tedious. Maple is the best software tool for doing differential equations. Since Maple is a general purpose mathematical tool with packages devoted to virtually all quantitative aspects of engineering, mathematics, and the physical sciences, Maple skills acquired now will be useful in all your future work. Many students coming from Math 233 will have learned some Matlab. It should be noted that Matlab is a numerical package that does only a few of the things that Maple does. However, if you feel that Matlab will be of greater use to you in doing the assignments, then you may use Matlab (or, for that matter, any other software).

Doing the assignments will help with your overall understanding of even the by-hand computations of the subject. However, some students do not recognize that. Since the connection between the computer work and the exam questions is indirect they look upon the assignments as merely extra work. Such students are free to omit the homework without any penalty.. If you look at the grading scheme, then you will see that homework only counts if it boosts your point total. Last semester almost all students benefited from the homework even if they grumbled about it. But the choice is yours.

The current version of Maple is Maple 6. Great improvements in the differential equations package were introduced in Release 5 and in Release 6.1. It is unfortunate that the release available in the Arts and Sciences lab is the antiquated Release 4. It is anticipated that Maple worksheets will therefore be made available in both Release 4 format and Release 6.1 format. Students who purchase the student version (approximately $100) should download the newer worksheets since those will take advantage of a tremendous amount of work done during the last four years. Note, however, that purchase of Maple is not necessary - owning your own copy would be merely a convenience. If you intend to use a lab copy of Maple and if you have your own computer, then you probably should download a free demo of Release 4:

MapleV Release 4 Demo

This demo does not have all Maple commands, nor does it allow you to print or save any work. It will therefore not be useful for doing the homework. What it will do is act as a Maple reader allowing you to read the prepared worksheets.

Homework Assignment	Posted	Due
Assignment 1	January 31	February 9
Assignment 2	TBA 2001	TBA 2001
Assignment 3	TBA 2001	TBA 2001
Assignment 4	TBA 2001	TBA 2001
Assignment 5	TBA 2001	TBA 2001

Homework Solutions	Maple V R4	Maple 6
Assignment 1
Assignment 2
Assignment 3
Assignment 4

Old Exams

Exam	Maple 6
Exam 1 Fall 2000
Exam 2 Fall 2000
Exam 3 Fall 2000
Final Fall 2000

Feedback

Sometimes it saves time to share comments, gripes, questions, whatever, with everybody. There is consequently a feedback page associated with this course.


Brian E. Blank

Department of Mathematics

Washington University in St. Louis

1 Brookings Drive

St. Louis, MO  63130

 

                             Phone: (314) - 935 - 6763

                             Fax:   (314) - 935 - 6839 

 

                             e-mail: brian@math.wustl.edu

Last Updated: February 18 2001