MATH 3705B - Mathematical Methods I
Winter 2011

Instructor Dr. Elena Devdariani (4350 HP, 520-2600 ext. 2114)
   
E-mail elenad@math.carleton.ca
   
Web Site http://www.math.carleton.ca/~elenad
   
Office Hours  By appointment.
   
Textbook Mathematical Methods and Boundary Value Problems, Third Edition, by S. Melkonian.
   
Lectures Wednesday and Friday 10:05 am – 11:25 am  in 302  Azrieli Theatre, beginning Wednesday, January 5
   
Tutorials Friday 4:35 pm - 5:25 pm, beginning January 14.  During the tutorial sessions, a Teaching Assistant (TA) will be present to work out selected problems, to answer questions and to administer the tests.
   
Tests There will be four tests, to be held during the tutorial sessions, on the following dates:

Test 1: Friday, January 28, on chapter I
Test 2: Friday, February 11, on chapter II
Test 3: Friday, March 4, on chapters III and IV
Test 4: Friday, March 18, on chapter IV

Approximately 40% of each test and the final examination will consist of multiple-choice questions.
The best three out of the four tests will count for 45% and the final examination for 55% of the final grade.
There will be no make-up tests.
Students who wish to review their final examination paper must do so within three weeks of the examination period.

Topics and Timetable:

The Laplace Transform (Chapter I), Lectures 1 – 5
Do problems 1 – 25. <>

Series Solutions of Ordinary Differential Equations (Chapter II), Lectures 6 – 10
Omit nonhomogeneous equations and complex roots (pages 96-98)
Do problems 1 – 19.

Fourier Series (Chapter III), Lectures 11 – 12
Omit differentiation and integration of Fourier series, nonhomogeneous equations with periodic forcing terms, and nonhomogeneous boundary-value problems (pages 156 – 164).
Do problems 1 – 20.

Partial Differential Equations (Chapter IV), Lectures 13 – 17
Omit the bar with one end insulated (pages 211 – 217), differentiation and continuity of solutions,  and uniqueness of solutions (pages 245 – 250).
Do problems 1 – 6, 11-14 and 16 – 25.

Sturm-Liouville Problems (Chapter V), Lectures 18 – 21
Omit Laplace's equation within an annular sector (pages. 297 – 305), nonhomogeneous Sturm-Liouville problems, and orthonormal families (pages 318 – 321).
Do problems 1 – 13 and 15 – 24.

The Fourier Transform (Chapter VI), Lectures 22 – 24
Omit Laplace's equation in the upper half-plane and the wave equation (pages 372 – 379).
Do problems 1 – 17.

Students with Disabilities:

Students with disabilities requiring academic accommodations in this course are encouraged to contact a coordinator at the Paul Menton Centre for Students with Disabilities to complete the necessary letters of accommodation. After registering with the PMC, make an appointment to meet and discuss your needs with me at least two weeks prior to the first test . This is necessary in order to ensure sufficient time to make the necessary arrangements. Please note that the deadline for submitting completed forms to the Paul Menton Centre for the final examination accomodations is Friday, March 11, 2011.

Academic Accommodation
Students requiring special arrangements to meet their academic obligations during the term because of disability, pregnancy or religious obligations must review the course outline promptly and write me with any requests for academic accommodation during the first two weeks of class, or as soon as possible after the need for accommodation is known to exist. It takes time to review and consider each request individually and to arrange for accommodations where appropriate. Please ensure that you respect these timelines, particularly for tests and the final examination.

Last modified: Dec 19, 2010