Course level

Undergraduate

Faculty

Science

School

Mathematics & Physics School

Units

2

Duration

One Semester

Delivery mode

Internal

Class contact

3 Lecture hours, 1 Tutorial hour

Incompatible

MP479

Prerequisite

MATH2400 or MT251

Recommended prerequisite

Assessment methods

Examination, assignments

Course coordinator

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

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.

Archived offerings

Course offerings Location Mode Course Profile
Semester 1, 2011 St Lucia Internal Course Profile
Semester 1, 2009 St Lucia Internal Course Profile
Semester 1, 2008 St Lucia Internal Profile unavailable