Advanced Analysis (MATH7401)
Course level
Postgraduate Coursework
Units
2
Duration
One Semester
Class hours
3 Lecture hours
1 Tutorial hour
Incompatible
MATH4401
Prerequisite
Permission of Head of School
Assessment methods
Examination, assignments
Course enquiries
This course is not currently offered, please contact the school or faculty of your program.
Course description
(Offered in semester 1 in odd years only) Banach spaces; compactness; Arzela-Ascoli theorem; contraction mappings. Rn theorems: Sard, Weierstrass; Tietze. Brouwer degree theory; Poincare-Bohl; Weighted sum formula; Borsuk Theorem; reduction theorem; applications to differential equations. Cones & nonnegative solutions. Schauder degree theory. Introduction to bifucation theory.