In this topical course, we shall study the followings:
(1) Degree theory in finite and infinite dimensional space and its application
(2) Bifurcation Theory
(3)Maximal principle and sub-solutions and supersolutions of elliptic PDE
(4)Some of my work in PDE with applications to Mathematical Biology
The students will be asked to study a paper and to give a presentation in the class.

Reference: Yihong Du , Order Structure and Topological Methods in Nonlinear PDE.