Math 312, Sec. 500, Spring 1996

Instructor: Michael Stecher
Office: Milner 126, 845--3269, stecher@math.tamu.edu
Office Hours: T.Th., 9:30am.--11:00am., and by appointment.
Text: ``Fourier Series'' by Tolstov, and ``Boundary Value Problems''
                3rd ed. by Powers.
Prerequisite: Differential Equations, Math 308 or equivalent.

We will have two exams worth 100 points each, quizzes worth 100
points, and a final exam worth one hundred points. Work turned in late
will not be accepted. Your grade for the course will be determined as
follows:   

      A:  360 -- 400;  B: 320 -- 359;  C: 280 -- 319 D: 240 -- 279
            F: 0 -- 239

The following schedule is tentative and should be taken with a grain
of salt.


Week of               Topic

Jan. 15       Mathematical models of physical problems.

Jan. 22       Separation of variables, boundary value problems, linearity.

Jan. 29       Orthogonality, Fourier series expansions.

Feb. 5        Fourier series expansions. 

Feb. 12       EXAM      Fourier series expansions. 

Feb. 19      Convergence of Fourier series expansions. 

Feb. 26      Convergence of Fourier series expansions. 

March 4      Solutions to boundary value problems. 

March 11     Spring Break.

March 18     Solutions to boundary value problems.

March 25     EXAM      Fourier series in more than one variable. 

April 1      Fourier series in more than one variable. 

April 8      Solutions to boundary value problems.

April 15     Sturm-Liouville theorems.

April 22     Fourier transform. 

April 29     Review     Final Exam, Tuesday, May 7, from 1:00 to 3:00pm.


See my web page 

            http://www.math.tamu.edu/~mike.stecher

for copies of exams, quizzes, etc. Be sure to check my web
page for reading assignments and suggested problems.

If you are interested in partial differential equations and/or Fourier
Series check out the web page 

            http://paradise.net/~eharrell/pdepage.html