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  6. MX5503: Geometry and Topology 2

MX5503: GEOMETRY AND TOPOLOGY 2 (2014-2015)

Last modified: 28 Jun 2018 10:27


Course Overview

The aim of this course is to broaden students' knowledge of differential geometry. The weekly lectures cover interesting topics quickly, and guide students through their own reading on the subject.  Topics covered include manifolds in Euclidean space, curves and surfaces, geodesics and Riemannian curvature, the Gauss-Bonnet theorem, differentiable manifolds, and de Rham cohomology.  The course is based on a series of SMSTC lectures which are broadcast between several Scottish universities.  See smstc.ac.uk for more information.





Course Details

Study Type Postgraduate Level 5
Term Second Term Credit Points 20 credits (10 ECTS credits)
Campus None. Sustained Study No
Co-ordinators

Sorry, we don't have a record of any course coordinators.

What courses & programmes must have been taken before this course?

None.

What other courses must be taken with this course?

None.

What courses cannot be taken with this course?

None.

Are there a limited number of places available?

No

Course Description

Differential geometry: curvature and connections; geodesics: Riemannian curvature. Differential Topology: orientations and manifolds with boundary; differential forms and integration; Strokes' theorem and the Gauss-Bonnet theorem for surfaces; de Rham cohomology; the Mayer-Vietoris sequence; Poincare duality.

Contact Teaching Time

Information on contact teaching time is available from the course guide.

Teaching Breakdown

More Information about Week Numbers


Details, including assessments, may be subject to change until 30 August 2024 for 1st term courses and 20 December 2024 for 2nd term courses.

Summative Assessments

One 3-hour written examination (80%); one in-course assessment (20%).

Formative Assessment

There are no assessments for this course.

Feedback

None.

Course Learning Outcomes

None.
 

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