# ME201/ME400/MTH281/CHE400 Applied Boundary Value Problems

## Professor Hussein Aluie

## Office Hours

MWF 4:45pm-5:30pm, or by appointment

Hopeman 406

## Co-Instructor

Dr. Benjamin Storer

(benjamin.storerrochester.edu)

By appointment

## Teaching Assistants

Steven Kostick (Head TA)

(steven.kosticksimon.rochester.edu)

Thursday, 11am-noon (TA Zoom links on BB)

Cierra Tinson

(ctinsonu.rochester.edu)

Monday 12:45-1:45pm (In-person: POA)

Siddarth Seenivasa

(sseenivau.rochester.edu)

Friday 2-3pm (TA Zoom links on BB)

Tahamid Siam

(usiamu.rochester.edu)

Tuesday 2-3pm (TA Zoom links on BB)

Navya Uberoi

(nuberoiu.rochester.edu)

Monday 10:30-11:30am (Hybrid: POA + Zoom. TA Zoom links on BB)

Jacob Zweifel

(jzweifelu.rochester.edu)

Tuesday 11am-noon (In-person: POA)

## 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.

## Useful Online Resources

Books reserved for the course at the library

Syllabus

Homework 1, due date on BB

Homework 2, due date on BB

Homework 3, due date on BB

Homework 4, due date on BB

Homework 5, due date on BB

Homework 6, due date on BB

Homework 7, due date on BB

Homework 8, due date on BB

Homework 9, due date on BB

Homework 10, due date on BB

Project Schedule

To be posted on BB

and/or Gradescope

To be posted on BB

and/or Gradescope

To be posted on BB

and/or Gradescope