Undergraduate Course: Topics in Differential Topology (MATH10039)
|School||School of Mathematics
||College||College of Science and Engineering
|Credit level (Normal year taken)||SCQF Level 10 (Year 4 Undergraduate)
||Availability||Available to all students
|Summary||Course for final year students in Honours programmes in Mathematics.
1. Define smooth manifolds and give lots of interesting
examples, perhaps concentrating on surfaces in 3-space.
2. Define de Rham cohomology and perhaps compare it with
3. Study the topology of manifolds (surfaces) via Morse
Entry Requirements (not applicable to Visiting Students)
||Other requirements|| None
Information for Visiting Students
Course Delivery Information
|Not being delivered|
| 1. Familiarity with simple examples of smooth manifolds.
2. Familiarity with differential forms, de Rham cohomology
and its relation with combinatorial definitions of
3. Familiarity with Morse functions and their use in the
calculation of topological invariants of a manifold.
4. Familiarity with further topics in differential
topology, such as the Hopf index theorem, Lefschetz
|Course organiser||Dr Liam O'Carroll
Tel: (0131 6)50 5070
|Course secretary||Ms Jennifer Marshall
Tel: (0131 6)50 5048