## Course Information

**
****Instructor: **Bruce
Driver (driver@math.ucsd.edu),
AP&M 7414, 534-2648.** Office Hours: **Wednesday,
1-2 PM and Friday, 2-3 PM.

**TA: **Tai Melcher
(tmelcher@math.ucsd.edu) AP&M 6402E. ** Office Hours: **
Monday, 3-4:30 PM and Friday, 12-1:30PM

**Meeting times: **Lectures are on MWF
10:00 -- 10:50 AM, in Peterson 102. Sections are on Mondays in WLH 2206 at 5:00 PM
for A01 and 6:00 PM for A02.

**Textbook:** Fourier Series
and Boundary Value Problems, by James Ward Brown and Ruel V. Churchill,
McGraw-Hill, 6th Edition. There will also be some extra notes which will be
distributed on this web-page at "Lecture Notes."

Prerequisites: Math. 20D (or 21D) and
20F, or consent of instructor. (Part of my goal in this course is to show you
that 20F is really relevant to you.)

**Homework:** Homework is due at the
beginning of the class on **Monday** (unless otherwise specified). It will be
selectively graded and returned. You are encouraged to get help with the
homework, and work together on it. Just copying someone else's work of course
does no good to anyone, but cooperative effort and discussion of problems can be
very effective in learning mathematics. No late homework will be accepted.
Please see the Home-work page for all homework
assignments.

**Test times: **Test #1: Wednesday, April
21 at 10:00 AM. Test #2: Wednesday, May 12 at 10:00 AM. Final exam:
Tuesday, June 8 at 8:00 -- 11:00 AM.

**Grading: **
*
***Final Grade **= 2 midterms (25%
each) + final (35%) + homework (15%).

## Course Summary

**Goals of the Course-**This is a course in
Partial Differential Equations with applications to engineering and physics. We
will introduce you to the ideas of Fourier series, orthogonal expansions, and eigenvalue
problems. They will be used to solve
some partial differential equations. There will be three types of problems
which we will consider: the heat equation, the wave equation and the potential
equation. Problems of these kinds are amenable to separation of variables which
reduce the problems to ordinary differential equations. Homework can be long and
involve complicated integration problems. A minor error in calculation will
produce an incorrect solution. Part of the course, therefore, is developing the
facility to check over your answers and to write up your work clearly so that an
error can be easily detected.

**Prerequisites**- Math 20D and 20F or consent of the
instructor. Students will have to review ordinary differential equations,
integration by parts, substitution, partial derivatives, and also the use of
integral tables. Sine, cosine, hyperbolic sine and hyperbolic cosine and well as
some ideas in linear algebra will be applied in this course. Also, we will be
using the ideas of linear transformation, kernel,
orthonormal functions and basis as described in Math 20F.

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