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  5. Mathematical Sciences
  6. MX5003: Geometry and Toplogy 1

MX5003: GEOMETRY AND TOPLOGY 1 (2014-2015)

Last modified: 28 Jun 2018 10:27


Course Overview

The aim of this course is to broaden students' knowledge of algebraic topology and algebraic geometry. The weekly lectures cover interesting topics quickly, and guide students through their own reading on the subject.  Topics covered include point-set topology, homology, the fundamental group and covering spaces, the classification of surfaces, and elementary algebraic geometry.  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 First Term Credit Points 20 credits (10 ECTS credits)
Campus None. Sustained Study No
Co-ordinators
  • Dr Richard Hepworth

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

Algebraic topology: elements of general topology; the fundamental group and covering spaces; free groups, group presentations and the Seifert-van Kampen theorem; compact orientable surfaces; CW-complexes; singular and simplicial homolgy. Differential geometry: smooth manifolds and smooth maps between them; vector bundles on smooth manifolds.

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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