Math 217 Fall 2000

Page Update History

  • Dec 27: A program to calculate your final grade.
    DISCLAIMER: This file is a DOS executable. There is always a risk of running an executable file that you download over the internet. It is your responsibility to scan such a file for viruses. Prior to posting I scanned the linked file using the most recent signature file for F-Protect and no virus was detected. That is not a 100% guarantee, however. If you run this program, then you do so at your own risk!
  • Dec 15: A worksheet on Fourier series This worksheet contains an implementation of Fourier polynomials and is illustrated with terrific plots. Grab this for later use!
  • Dec 15: Final exam info:
    The breakdown of the questions on the final exam goes like this - Ch 1 (First Order Eqns): 3, Ch 2 (Linear constant coefficient equations): 3, Ch 3 (Series solutions): 4, Ch 4 (Laplace transform methods): 2, Ch 5 (Systems): 2, Ch 6 (Numerical methods): 0, Ch 7 (Qualitative descriptions): 3, Ch 8: (Fourier series) 3
    The table of Laplace transforms that was included with Exam 3 is again included. No other formulas are given.
  • Nov 30: Solutions to Exam 3. There was an error in problem #18. Everyone will get credit for that problem.
  • Nov 29: Last Homework Assignment Due: December 7 2000
  • Nov 29: Solutions to assignment 4
  • Nov 29: Matrix algebra background worksheet
  • Nov 29: Exam 3 Info
    Exam 3 covers sections 4.4-7.1 inclusive. The breakdown of questions is Chapter 4: 7, Chapter 5: 9, Chapter 6: 3, Chapter 7: 1. Laplace transform formulas that are introduced in the covered sections will not be given. Formulas from sections 4.1-4.3 will be given. To be specific, the formulas found in the Laplace transform section of the summary of assumed knowledge
    are given. No other Laplace transform formulas are. You do not need to memorize the formula for the Runge-Kutta Method of Approximation.
  • Nov 05: Corrected Assignment 4 If you have not downloaded the homework yet, this is a corrected version. In 1b the rightmost piece of f should be over the interval t > 15, as shown in the graph. (As typed in the original posted assignment, the interval was given as t > 12 instead.) In 2b the original template for calculating the Laplace transform of the square wave suggested that integrations over three subintervals were necessary. Only two are. In the DEplot with sawtooth forcing term, a coefficient of 3 was omitted. Also, since F is often used as the Laplace transform of f, I changed the letter of the forcing term to w.
  • Nov 04: Corrected Assignment 4 If you have not downloaded the homework yet, this is a corrected version. It eliminates the redundant ? := map( ? , ? ) commands in 1a.
  • Nov 04: Laplace tansform worksheet.
  • Nov 03: Homework Assignment 4.
  • Oct 27: Solutions to Exam 2.
  • Oct 27: Solutions for 3rd assignment.
  • Oct 23: Section 4.4 has been deleted from the covered material of Exam 2.
  • Oct 23: An update of the summary of assumed knowledge.
  • Oct 18: Corrected homework assignment 3
  • Oct 18: Solutions for 2nd assignment.
  • Oct 18: email to the Complaints Department
  • Sept 28: Low bandwidth second homework assignment with outline. New due date.
  • Sept 28: Worksheet to illustrate motion against resistance problems.
  • Sept 25: email about exam scores
  • Sept 25: Second Homework (See Section Below)
  • Sept 25: Exam 1 Solutions
  • Sept 19: Summary of Assumed Knowledge
  • Sept 19: Practice problem worksheet
    Note: This is an R6 worksheet that can be viewed with earlier versions of Maple (despite a warning upon loading). The solutions have been worked step by step.

    • Sections

    There are three sections. The core material is the same for all sections. All sections take the same exams and get the same homework.

    Section Time Location Instructor email Office Hours
    1 MTThF 9-10 Busch 100 M. Feldman mf@artsci.wustl.edu MF 10-11
    2 MTThF 10-11 McDonnell 162 N. Katz nets@math.wustl.edu M-F 9-10
    3 MTThF 11-12 McDonnell 362 B. Blank brian@math.wustl.edu MTh 12-1


    Course Requirements

    The three evening exams, E1, E2, and E3, the final exam, and the homework will have the following relative values in making up the overall grade:

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


    Scores 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


    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 (08/30-09/01) 1.1 and 1.2 1.1: 3, 5, 6, 11, 15, 24;
    1.2: 5, 6, 7, 15, 21, 27
    #2 (09/04-09/08)
    No Classes Monday Sept 04    		 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 (09/11-09/15) 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 (09/18-09/22)
    EXAM: Thursday 6:30-8:30PM
    Covers 1.1-2.2 (inclusive)    		 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 (09/25-09/29) 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 (10/02-10/06) 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 (10/09-10/13) 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 (10/16-10/20)
    No Classes 20 OCT
    Fall break    		 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
    #9 (10/23-10/27)
    EXAM: Thursday 6:30-8:30PM
    Covers 2.3-4.3(inclusive)    		 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 (10/30-11/03) 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 (11/06-11/10) 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 (11/13-11/17) 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 (11/20-11/24)
    No classes 22-26 NOV
    Thanksgiving Break    		 6.2, 6.3, and 6.4 6.2:5 (h = 0.1)
    6.3:5
    6.4:1
    #14 (11/27-12/01)

    EXAM: Thursday 6:30-8:30PM
    Covers (4.4 -7.1 inclusive)    		 7.1, 7.2, and 7.3 7.1:1, 2, 3, 8, 11
    7.2:1-8, 13-17
    7.3:1-15
    #15 (12/04-12/08)
    		 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, 20 DEC 2000
    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
    1.8
    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. This partnership is intended to endure without change throughout the semester. However, homework groups can be like marriage. Sometimes dissolution is the best course. If it is necessary, then you may dissolve a homework group and, if another student who is not part of another homework group is willing, then you may form your second homework group. No more than two chances at forming a successful homework group. (The homework graders are students. It would not be fair to them to have to frequently reorganize their bookkeeping.)

    In no circumstances will a group with more than two members be permitted. Don't even ask!

    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 requires the use of Maple, a computer algebra system. This package 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 cecversion.

    It is no longer sensible to do differential equations by hand only. In practice, software is a great aid - it is useful not only for problems that would not be feasible unaided but also for problems that can be done by hand but which are unpleasantly tedious. It is therefore important to include computer work in a modern differential equations class. Maple has been chosen because it 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.

    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 Maple V R4 Maple 6
    		 Posted Due
    Assignment 1 07 Sept 2000 15 Sept 2000
    Assignment 2 25 Sept 2000 05 Oct 2000
    Assignment 3 12 Oct 2000 19 Oct 2000
    Assignment 4 03 Nov 2000 10 Nov 2000
    Assignment 5 29 Nov 2000 07 Dec 2000


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


    Feedback

    Sometimes it saves time to share comments, gripes, questions, whatever, with everybody. There is consequently a feedback page asscoiated 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: December 15 2000

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