Temperature profile around a plate (red: hot, to blue: cold), which is found via a singular integral equation. (Courtesy of Dr. Jaehyuk Choi. Used with permission.)
This course features complete set of assignments
with solutions and an extensive reading
This course emphasizes concepts and techniques for solving integral equations from an applied mathematics perspective. Material is selected from the following topics: Volterra and Fredholm equations, Fredholm theory, the Hilbert-Schmidt theorem; Wiener-Hopf Method; Wiener-Hopf Method and partial differential equations; the Hilbert Problem and singular integral equations of Cauchy type; inverse scattering transform; and group theory. Examples are taken from fluid and solid mechanics, acoustics, quantum mechanics, and other applications.