Undergraduate Course: Differential Geometry (Ord) (MATH09013)
Course Outline
| School |
School of Mathematics |
College |
College of Science and Engineering |
| Course type |
Standard |
Availability |
Available to all students |
| Credit level (Normal year taken) |
SCQF Level 9 (Year 3 Undergraduate) |
Credits |
10 |
| Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Ordinary) |
| Course website |
http://student.maths.ed.ac.uk
|
Taught in Gaelic? |
No |
| Course description |
Syllabus summary: Differential forms, moving frames, first and second fundamental forms of a surface, curvature, adapted frames, results on surfaces, isometric surfaces, Theorem Egregium, geodesics on surfaces, integration of forms, statement of general Stokes' theorem, Euler characteristic, Gauss-Bonnet theorem (sketch proof only). |
Information for Visiting Students
| Pre-requisites |
None |
| Displayed in Visiting Students Prospectus? |
Yes |
Course Delivery Information
| Not being delivered |
Summary of Intended Learning Outcomes
The following are the learning objectives for the Honours version, MAT-3-DGe; for this (Ordinary) version there is more emphasis on the technical, rather than conceptual elements, which will be reflected by a different examination.
1. An ability to perform simple manipulations with forms; being able to relate these to the standard differential formulae of 3 dimensions (grad, div, curl) if these have been covered in other courses.
2. An understanding of the fundamental forms of a surface (I, II) and its principal curvatures. An ability to compute simple examples.
3. Ability to translate the "general Stokes' theorem" into the examples of vector calculus.
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Assessment Information
Coursework: 15%; Degree Examination: 85%.
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Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Not entered |
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords |
Not entered |
Contacts
| Course organiser |
Dr Bruce Worton
Tel: (0131 6)50 4884
Email: Bruce.Worton@ed.ac.uk |
Course secretary |
Mrs Kathryn Mcphail
Tel: (0131 6)50 4885
Email: k.mcphail@ed.ac.uk |
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