# MAT8800-02

Partial Differential Equations

### Independent Study 12F

Instructor: Robert Jantzen

Student: Philip Burnham

CRN: 22255

Credits: 3

An elementary introduction to partial differential equations, using Maple to
bring the subject to life. Materials will include several
texts, handwritten course notes, computer algebra assistance in some
calculations, and regular meetings (several times a week) for discussion of
assigned readings. Problem sets will be assigned throughout the semester to make
readings concrete through calculation.

**Guiding Textbook:** *
Advanced Engineering Mathematics* by
Robert Lopez, Unit 5:
Boundary Value Problems for PDEs

[Amazon
web page] [Maplesoft
webpage] [Instructor manual]

Hard cover textbook (edition 2001) and Maple electronic version available
from bob, who also has the complete Instructor Manual of worked solutions. We'll try to tackle something interesting with outside texts or web
sources as well. Some physics applications like the Schroedinger equation for
the hydrogen atom will be covered.

A terminal project and presentation will be determined as the course
develops.

Some links:

**Example.** First HW problem from Chapter 24.1: A1. We approximate the
exact Fourier series by its first 10 terms and animate the motion of the
vibrating string showing its initial plucked state and its evolution,
exaggerated in the vertical direction (look at axis tickmark labels):