This course is not currently offered, please contact the school or faculty of your program.

Course description

(offered in odd years only) Banach spaces; compactness; Arzela-Ascoli theorem; contraction mappings. Rn theorems: Sard, Weierstrass; Tietze. Brouwer degre theory; Poincare-Bohl; Weighted sum formula; Borsuk Theorem; reduction theorem; applications to differential equations. Cones & non-negative solutions. Schauder degree theory. Introduction to bifurcation theory.