Office Hours

MW 4:50pm-5:30pm, or by appointment

Virtual

Co-Instructor

Dr. Benjamin Storer

(benjamin.storerrochester.edu)

By appointment

Teaching Assistants

Na'im Kalantar (Head TA)

(nkalantaur.rochester.edu)

Wednesday 2-3pm in POA

Eileen Chen

(echen40u.rochester.edu)

Monday 3:30-4:30pm in Carlson Library, 2nd (main) floor

Aadit Jain

(ajain32u.rochester.edu)

Friday 1-2pm in POA

Maggie Ju

(mju2u.rochester.edu)

Tuesday 3:30-4:30pm in POA

Julia Largett

(jlargettu.rochester.edu)

Tuesdays 10-11 a.m. in POA (374 Bausch and Lomb)

Cheryl Liu

(zliu101u.rochester.edu)

Tuesday 9-10am in POA + On Zoom

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