Office Hours

MW 5:00pm-5:30pm, or by appointment

Virtual

Co-Instructor

Dr. Benjamin Storer

(benjamin.storerrochester.edu)

By appointment

Teaching Assistants

Hafiz Hamza Riaz (Head TA)

(hriazur.rochester.edu)

Tuesday 2–3pm, via Zoom

Grace Dono

(gdonou.rochester.edu)

Monday 10-11am in Carlson Library (2nd floor)

Elias Dubroff

(edubroffu.rochester.edu)

Tuesday 11am-noon in POA

Noah Ernst

(nernstu.rochester.edu)

Tuesday 8-9am in Gleason project room

Amelia Heilbronn

(aheilbrou.rochester.edu)

Thursday 10-11am in POA

Erica Sundermeyer

(esundermu.rochester.edu)

Monday 6-7 in 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.

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