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
Assoc Prof Bevan Thompson (hbt@maths.uq.edu.au)
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.
