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