Theory of Ordinary Differential Equations  

MATH 539 - Fall 2017

MWF,  11:30 am - 12:20 pm,  TLC 144

Instructor:

Lyudmyla Barannyk
317 Brink Hall
tel:  (208) 885-6719
fax: (208) 885-5843
barannyk@uidaho.edu
office hours:
  MW 1:30 pm - 2:30 pm, F 10:30 - 11:20 am or by appointment


There is a class discussion e-mail list: math-539-f17@uidaho.edu. You can make an alias for the e-mail of your section. Each e-mail lists contains e-mails of all students enrolled in the section and my e-mail.  You can use the e-mail list to ask me questions that might be of interest to others in the class. You can also email me at barannyk@uidaho.edu with other questions.


    Handouts and  Lecture Notes


Course Description

A practical and theoretical treatment of boundary-value problems for ordinary differential equations: generalized functions, Green's functions, spectral theory, variational principles, and allied numerical procedures. Examples will be drawn from applications in science and engineering.


Textbook

It may be useful to own one of the following recommended texts but it is not required.

Primary Textbook: Boundary Value Problems of Mathematical Physics, Volumes I and II. By Ivar Stakgold. SIAM Classics in Applied Mathematics vol 29.

Also Useful:

Green's Functions and Boundary Value Problems. Third edition. By I. Stakgold and M. Holst
Principles and Techniques of Applied Mathematics. By B. Friedman
Applied Mathematics. By J.D. Logan


Syllabus

Download syllabus:  .pdf

Homework

There will be weekly or biweekly homework assignments depending on how much material we cover.

Homework Sets Due Dates
hw1
Friday, September 1
hw2 Monday, September 11
hw3 Wednesday, September 20
hw4 Wednesday, October 11
hw5 Friday, October 20
hw6 Wednesday, November 1
hw7
Friday, November 10
hw8 Monday, November 27
hw9 Monday, December 4





Handouts

Lecture Notes

Lecture 1 8/21/2017                Lecture 11 9/18/2017                 Lecture 21 10/11/2017            Lecture 31 11/06/2017            Lecture 41 12/06/2017
Lecture 2 8/23/2017                Lecture 12 9/20/2017                 Lecture 22 10/13/2017            Lecture 32 11/08/2017            Lecture 42 12/08/2017
Lecture 3 8/25/2017                Lecture 13 9/22/2017                 Lecture 23 10/18/2017            Lecture 33 11/10/2017
Lecture 4 8/28/2017                Lecture 14 9/25/2017                 Lecture 24 10/20/2017            Lecture 34 11/13/2017
Lecture 5 9/01/2017                Lecture 15 9/27/2017                 Lecture 25 10/23/2017            Lecture 35 11/15/2017
Lecture 6 9/06/2017                Lecture 16 9/29/2017                 Lecture 26 10/25/2017            Lecture 36 11/17/2017   
Lecture 7 9/08/2017                Lecture 17 10/02/2017               Lecture 27 10/27/2017            Lecture 37 11/27/2017
Lecture 8 9/11/2017                Lecture 18 10/04/2017               Lecture 28 10/30/2017            Lecture 38 11/29/2017
Lecture 9 9/13/2017                Lecture 19 10/06/2017               Lecture 29 11/01/2017            Lecture 39 11/30/2017
Lecture 10 9/15/2017              Lecture 20 10/09/2017               Lecture 30 11/03/2017            Lecture 40 12/04/2017

Wolframalpha:  symbolic computations online

Exams

Midterm Exam: Monday, October 16 in class.


Final Exam : Monday, December 11, 10 am - 12 pm.


Grading

Midterm Exam: 15%
Final Exam: 25%
Homework: 60%

Midsemester Questionnaire