MATH 304, Section 1 -- Ordinary Differential Equations, Fall 2000

• Syllabus

  • Course Syllabus
  • Original Course Schedule
  • Revised Course Schedule to end of semester

• Class Notes, etc.

  • A first example of differential equations, applied to a heating/cooling problem (Note: This may be good for a few ideas on Discussion/Lab 2, but the control scheme used here is neither the "bang-bang" nor the "proportional" control methods you are studying in Discussion/Lab 2.)
  • Solution for Problem Set 1
  • Maple code for the Runge-Kutta numerical method, and
  • An example of using the Runge-Kutta method
  • Solutions for Problem Set 2
  • We have a winner! -- results of the Smith Hall Heating Plan Competition (Lab/Discussion 2)
  • A reduction of order example
  • Solutions for Problem Set 3
  • An autonomous system of first order ODE, trajectories, integral curves, etc. Example from class 10/31.
  • Linearization at a critical point. Example from class 11/2.
  • Solutions for Problem Set 4
  • Solutions for the Final Exam

• Assignments

  • Discussion 1 -- Due: Tuesday, September 5.
  • Lab 1 -- Due: Tuesday, September 12
  • Problem Set 1 -- Due: Thursday, September 14
  • Problem Set 2: From the text: Section 2.4/1,5,11,13,15,21,32; Section 2.5/7,9; Section 2.6/33,35,37,46 -- Due: Thursday, September 21.
  • Discussion/Lab 2 -- Due: Tuesday, October 3.
  • Revised Problem Set 3: From the text: Section 4.5/5,9,13,15,27,53,54 (note here cosh(x) = (e^x + e^-x)/2 and sinh(x) = (e^x - e^-x)/2; Section 4.6/1,5,21,23,36,37; Section 4.2/9,15,17,19,21,37; Section 4.3/4,11,23,31 -- Due: Tuesday, October 24. (Suggestion: Do the problems in this order.)
  • Lab 3 -- Due: Thursday, November 2. (This is an individual assignment, but discussion of the questions with your group partners is OK.)
  • Problem Set 4: From the text: Section 4.8/3,5,7,9,15,29,31,33,55,56,57; Section 5.2/9-12,18,21 -- Due: Thursday, November 9.
  • In order not to overburden everyone, there will not be another mandatory individual problem set this semester. However, some or all of the following problems on linear systems with constant coefficients and analysis of critical points via eigenvalues and eigenvectors may be turned in at any point before 5:00pm on Friday, December 1 for extra credit on the individual problem set component of your course grade: Section 9.4/9, 19, 21, 23; Section 9.5/11, 13, 17; Section 9.6/1,3; Section 12.2/1,5; Section 12.3/9. Note: You will be expected to be able to solve questions like this for the final exam.
  • Lab 4 -- Due: no later than 5:00pm on Tuesday, December 5.

• Information and Announcements

  • The Final Exam for this course will be given at 2:30pm on Thursday, December 14. Here are the review sheets for the two in-class midterms and the final:
    1. Exam 1
    2. Exam 2
    3. Final Exam
  • Review session for final: Tuesday, December 12, 7-9 pm, in SW 328.
  • Because of a medical emergency in my family, I will not be on campus between noon Monday, December 4 and the end of the day on Wednesday, December 6. At this point, I plan to return and be here all day Thursday, December 7 and thereafter during exam week. Please consult with the Mathematics/CS department Chair, Prof. Cecil, if you urgently need to contact me.
  • My office hours this semester will be:
    • Monday and Wednesday, 1 - 3pm
    • Tuesday and Thursday, 11am - 12 noon
    • Friday, 9 - 10am
    • and by appointment
  • Information on Maple on the Sun workstation network.
  • Information on Unix on the Sun workstation network.
  • A Maple programming primer. This file is also available as a Maple worksheet at mathcs.holycross.edu/~little/NA9899/ProgPrim.mws. You can copy it and experiment, modify it, etc.

• Related Links

  • Information on the workstation names in Swords 219

Last modified: December 19, 2000