Undergraduate Course: Modern Methods in Geometry and Topology (MATH11142)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Credit level (Normal year taken) | SCQF Level 11 (Year 5 Undergraduate) |
Availability | Available to all students |
| SCQF Credits | 10 |
ECTS Credits | 5 |
| Summary | NB. This course is delivered *biennially* with the next instance being in 2019 - 20. It is anticipated that it would then be delivered every other session thereafter.
This course will highlight important developments in geometry and topology throughout the preceding century, and train students to approach problems in these fields with a modern perspective. Topics will draw from the research interests and expertise of staff teaching the course. |
| Course description |
The syllabus will vary from year-to-year. Possible topics include:
- Cohomological methods in geometry and topology
- Combinatorial algebraic geometry
- Classification of manifolds
- Homotopy theory
- Symplectic geometry
- Riemann surfaces
For 2019/20 the topic of this course is planned to be Homotopy Theory.
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Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
|
Co-requisites | |
| Prohibited Combinations | |
Other requirements | Students must have taken;
Honours Algebra (MATH10069)
and
General Topology (MATH10076)
With permission of the lecturer, General Topology can be taken simultaneously. |
Information for Visiting Students
| Pre-requisites | None |
| High Demand Course? |
Yes |
Course Delivery Information
|
| Academic year 2019/20, Available to all students (SV1)
|
Quota: None |
| Course Start |
Semester 1 |
Timetable |
Timetable |
| Learning and Teaching activities (Further Info) |
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 5,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
69 )
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| Assessment (Further Info) |
Written Exam
0 %,
Coursework
100 %,
Practical Exam
0 %
|
| Additional Information (Assessment) |
Coursework 100% |
| Feedback |
Not entered |
| No Exam Information |
Learning Outcomes
On completion of this course, the student will be able to:
- Learn one of the methods that have become essential for the study of Geometry and Topology during the 20th century.
- Explain the method's underlying definitions and essential constructions and provide examples illustrating them.
- Understand application of the method for fundamental results in the area and demonstrate this understanding by explaining key steps in the proof of these fundamental results.
- Apply this method as a problem-solving tool.
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Additional Information
| Graduate Attributes and Skills |
Not entered |
| Keywords | MMGT |
Contacts
| Course organiser | Dr Clark Barwick
Tel: (0131 6)50 5073
Email: Clark.Barwick@ed.ac.uk |
Course secretary | Mr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk |
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