Office Hours

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

Hopeman 406

Co-Instructor

Dr. Benjamin Storer

(benjamin.storerrochester.edu)

By appointment

Teaching Assistants

Jamie Yeo (Head TA)

(syeo2me.rochester.edu)

Thursday 7-8pm (Zoom and Hopeman TA lounge)

Fiona Gaffney

(fgaffneyu.rochester.edu)

Wednesday 1-2pm (POA library)

Archie Gao

(zgao12u.rochester.edu)

Thursday 9-10am (Goergen Hall, room 416)

Olaposi Peters

(opeters3u.rochester.edu)

Friday 1-2pm (Zoom)

Siddarth Seenivasa

(sseenivau.rochester.edu)

Friday 10-11am (Zoom)

Stella (Xinyue) Wu

(xwu48u.rochester.edu)

Friday 10:30-11:30am (POA 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.

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