Undergraduate Course: Differential Geometry (MATH10002)
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 10 (Year 3 Undergraduate) |
Credits |
10 |
| Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Honours) |
| Course website |
https://info.maths.ed.ac.uk/teaching.html
|
Taught in Gaelic? |
No |
| Course description |
Optional course for Honours Degrees involving Mathematics and/or Statistics. 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
|
| Delivery period: 2010/11 Semester 2, Available to all students (SV1)
|
WebCT enabled: Yes |
Quota: None |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| King's Buildings | Lecture | | 1-11 | | | | | 11:10 - 12:00 | | King's Buildings | Lecture | | 1-11 | | 11:10 - 12:00 | | | |
| First Class |
Week 1, Tuesday, 11:10 - 12:00, Zone: King's Buildings. JCMB, room 6301 |
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
Stationery Requirements |
Comments |
| Main Exam Diet S2 (April/May) | | 2:00 | 16 sides. No YAF. | c/w MATH09013 | | Resit Exam Diet (August) | | 2:00 | 16 sides. No YAF. | c/w MATH09013 |
Summary of Intended Learning Outcomes
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.
|
Assessment Information
| Examination only. |
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 |
DGe |
Contacts
| Course organiser |
Dr Adri Olde-Daalhuis
Tel: (0131 6)50 5992
Email: A.OldeDaalhuis@ed.ac.uk |
Course secretary |
Mrs Kathryn Mcphail
Tel: (0131 6)50 4885
Email: k.mcphail@ed.ac.uk |
|
copyright 2011 The University of Edinburgh -
31 January 2011 7:59 am
|
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