# ME 201/400 aka MTH 281 aka CHE 400 Applied Boundary Value Problems

## Professor Hussein Aluie

## Office Hours

MWF 12:40pm – 1:30pm, or by appointment

Hopeman 406

## Teaching Assistants

Chayut Teeraratkul (Head TA)

(cteerarau.rochester.edu)

Thursdays 5-6pm, Carlson Library

Andres Cano

(acano2u.rochester.edu)

Wednesdays 5-6pm, 374 Bausch and Lomb (POA)

Jeremy Hartse

(jhartseu.rochester.edu)

Mondays 4-5pm, 374 Bausch and Lomb (POA)

Peeratach Ritthikarn

(pritthiku.rochester.edu)

Thursdays 4-5pm, Carlson library

Haley Wohlever

(hwohleveu.rochester.edu)

Mondays 3:30-4:30, Carlson library

## Synopsis

This course covers the classical partial differential equations of mathematical physics: the heat equation, the Laplace equation, and the wave equation. The primary technique covered in the course is separation of variables, which leads to solutions in the form of eigenfunction expansions. The topics include Fourier series, separation of variables, Sturm-Liouville theory, unbounded domains and the Fourier transform, spherical coordinates and Legendre’s equation, cylindrical coordinates and Bessel’s equation. The software package Mathematica will be used extensively. Prior knowledge of Mathematica is helpful but not essential. In the last two weeks of the course, there will be a project on an assigned topic. The course will include applications in heat conduction, electrostatics, fluid flow, and acoustics.

Syllabus

Homework 1, due Mon. Sept. 10

Homework 2, due Wed. Sept. 19

Homework 3, due Mon. Oct. 1

Homework 4, due Wed. Oct. 10

Homework 5, due Wed. Oct. 24

Homework 6, due

Homework 7, due

Homework 8, due

Homework 9, due

Exam Schedule

October 5 (Friday) @ 11:50am

Dewey 2162

November 9 (Friday) @ 11:50am

Dewey 2162

December 12 (Wednesday) @ 11:50am

Dewey 2162