Advanced Analysis (MATH4401)
Course level
Undergraduate
Units
2
Duration
One Semester
Class hours
3 Lecture hours
1 Tutorial hour
Incompatible
MATH7401
Prerequisite
MATH2400
Recommended prerequisite
MATH3402
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 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.