Fall 2008
M302-011 Ordinary Differential Equations
MWF 12:20 - 1:10 (EWG 207)
www.math.udel.edu/~hsiao

• Text: Elementary Differential Equations and Boundary Value Problems by W.E. Boyce and R.C. DiPrima (8eth Edition).
• Instructor: Professor George C. Hsiao
• Office: Ewing 528 (Tel: 831-1882); E-mail: hsiao@math.udel.edu
• Office Hours: MW 3:30-5:00 pm and by appointment.
• Exams: There will be three hourly exams and a comprehensive final exam. The dates of the hourly exams will be given on:
  Friday, September 26
  Friday, October 24
  Monday, November 24
  The material to be covered in each hourly will be announced at least a week in advance. There will be no make-ups after the fact.
  The final exam will be given during the final exam week and it will cover entire course.
• Diagnostic Quiz:
  In order to measure the learning proficiency of our students, there will be a 20 minute diagnostic quiz on ''infinite series" that you have learned from Calculus course (such as M242). This quiz will be given in class in the beginning of October. The precise date will be announced later. To prepare the quiz, you should review the subject from your Calculus book.
• Homework:
  (a) Problem assignments from the text will be given in each lecture. Although these assignments are not to be handed in, you should do all of them and similar problems may be asked in the hourly examinations.
  (b) Two computer projects will be assigned and must be handed in.
  
• Computer Software: The computer software package Maple will be used through out the course.
• Grading: Course grade will be computed according to the following formula:
  M302-010 students: (i) Hourlies: 3@100 = 300 Points, (ii) Computer Projects: 135 Points, (iii) Diagnostic Quiz: 15 points, and (iv) Comprehensive Final: 150 Points. Total 600 Points
  

• Syllabus:

  I

  Introduction and First Order Differential Equations: §1.3, §2.1 - §2.4, §2.7 (approx. 7 lectures)

  II

  Second-order Differential Equations: §3.8, §3.1 - §3.6 (approx. 10 lectures)

  III

  Higher Order Linear Equations: §4.1 - §4.3 (approx. 3 lectures)

  IV

  Series Solutions: §5.2 - §5.7(approx. 6 lectures)

  V

  System of Differential Equations: §7.1, §7.5 - §7.8 (approx. 4 lectures)

  VI

  Boundary Value Problems: §10.1,§11.1 -§11.2 (approx. 3 lectures)

  VII

  Nonlinear Differential Equations and Stability: §9.1 (approx. 2 lectures)