The course covers an introduction
to the theory of linear and nonlinear integral
equations, solutions of Volterra and the
Fredholm equations of the first and second
kind, Fredholm’s alternative theorem,
Orthonormal eigensystems of a symmetric
Fredholm operator, and the Hilbert-Schmidt
expansion theorem and its applications
to Sturm-Liouville problems. *Prerequisite:*
MAT 641.