(Fall, 2004)

**Course Objectives:**
The course covers methods of mathematical physics, with emphasis
on linear systems of algebraic, differential, and partial differential
equations. Blackboard, overhead, and laptop are used in lectures, for
better visualization of analysis and examples. Tutorials and
assignments include analytical problems of different levels.
Computer demonstrations of equations of mathematical physics
are accessed via web-enabled interactive software.
The course is continued in the next semester with Math3D03:
Mathematical Physics II.

**Topics:**
vector spaces and eigenvalue problems (2 weeks),
systems of differential equations (3 weeks),
Sturm-Liouville problems and Fourier series (3 weeks),
partial differential equations (3 weeks), and
integral transforms (2 weeks).

**Instructor:**

Dr. Dmitry Pelinovsky, HH-422, ext.23424,
e-mail: dmpeli@math.mcmaster.ca

**Teaching Assistants:**

Marina Chugunova, HH-403, ext. 24411, e-mail: chugunom@math.mcmaster.ca

**Hours:**

*Lectures:* Monday, Wednesday (11:30-12:20); Friday (13:30-14:20); BSB-B135

*Tutorials:* Thursday (13:30-14:20); CNH-B107

*Office hours:* Wednesday, Friday (10:30-11:30), or by appointment

*TA Office hours:* Thursday (14:30-15:30)

**Main textbook:**

*"Mathematical Methods for Scientists and Engineers"*
by D.A. McQuarrie (University Science Books, 2003)

**Previous year textbooks:**

*"Mathematical Methods for Physics and Engineering"*
by K.F. Riley, M.P. Hobson, and S.J. Bence (Cambridge University Press, 2002)

*"Mathematical Methods for Physicists"*
by G.B. Arfken and H.J. Weber (Academic Press, 2001)

**Short version textbooks:**

*"Mathematical for Physicists"*
by S.M. Lea (Thomson, Brooke/Cole, 2004)

*"Mathematical Physics"*
by B. Kusse and E. Westwig (John Wiley & Sons, 1998)

*"Mathematical Methods of Physics"*
by J. Mathews and R.L. Walker (Addison-Wesley Publishing Company, 1970)

**Assignments:**
Six home assignments will be handed out in class on Monday every second
week, starting the week of September 13, 2004. The assignments are due
at 12:20 on Wednesday in the following week. Only five best
assignments are counted towards the final mark. The texts for assignments,
solutions and results will be posted on the course webpage.

**Class Test:**
There will be two class tests on Mondays: October 4 and
November 8. Only the McMaster standard calculator
Casio fx-991 is allowed on the tests.

**Final Exam:** The course is completed by a three-hour
final examination. The date and location of the final exam
will be announced by the registrar's office in mid-term.

**Marking scheme:**

Final exam (3 hrs) - 50%

Two class tests (50 min) - 30%

Five homework assignments - 20%

**Senate Policy Statement:** The course is regulated under
the following documents:
Statement on Academic Ethics
and Senate Resolutions on Academic Dishonesty. Any student
who infringes one of these resolutions will be treated according
to the published policy. In particular, academic dishonesty includes
(1) plagiarism, e.g. the submission of work that is not one's own,
(2) improper collaboration in group work on home assignments,
(3) copying or using unauthorized aids tests and examinations. It is
your responsibility to understand what constitutes academic dishonesty,
refering to Academic Integrity Policy.