Overview

Manifolds are topological spaces that are locally homeomorphic to Euclidean space. A differentiable structure on a manifold makes it possible to generalize many concepts from calculus in Euclidean spaces to manifolds. This is a course on differentiable manifolds and related basic concepts, which are the common ground for differential geometry, … For more content click the Read More button below.

Offerings

S2-01-CLAYTON-ON-CAMPUS

Rules

Enrolment Rule

Contacts

Chief Examiner(s)

Professor Todd Oliynyk

Unit Coordinator(s)

Professor Todd Oliynyk

Learning outcomes

On successful completion of this unit, you should be able to:
1.

Apply expert differential geometric techniques to solve problems that arise in pure and applied mathematics.

2.

Construct coherent and precise logical arguments.

3.

Develop and extend current techniques in differential geometry so that they can be applied to new situations in novel ways.

4.

Communicate complex ideas effectively.

Assessment

1 - Assignments
2 - Examination (3 hours and 10 minutes)

Scheduled and non-scheduled teaching activities

Applied sessions
Lectures

Workload requirements

Workload

Availability in areas of study

Master of Mathematics