Undergraduate Course: Algebraic Topology (MATH10077)
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 4 Undergraduate) |
Credits | 10 |
| Home subject area | Mathematics |
Other subject area | None |
| Course website |
None |
Taught in Gaelic? | No |
| Course description | This course will introduce students to essential notions in algebraic topology, such as compact surfaces, homotopies, fundamental groups and covering spaces. |
Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
Students MUST have passed:
General Topology (MATH10076)
|
Co-requisites | |
| Prohibited Combinations | Students MUST NOT also be taking
General and Algebraic Topology (MATH10075)
|
Other requirements | Students wishing to take both MATH10076 General Topology and MATH10077 Algebraic Topology in the same academic session should register for the 20 credit course MATH10075 General and Algebraic Topology. |
| Additional Costs | None |
Information for Visiting Students
| Pre-requisites | None |
| Displayed in Visiting Students Prospectus? | Yes |
Course Delivery Information
|
| Delivery period: 2014/15 Semester 2, Available to all students (SV1)
|
Learn enabled: Yes |
Quota: None |
|
Web Timetable |
Web Timetable |
| Course Start Date |
12/01/2015 |
| Breakdown of 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 )
|
| Additional Notes |
|
| Breakdown of Assessment Methods (Further Info) |
Written Exam
95 %,
Coursework
5 %,
Practical Exam
0 %
|
| No Exam Information |
Summary of Intended Learning Outcomes
1. Construct homotopies and prove homotopy equivalence for simple
examples.
2. Calculate fundamental groups of simple topological spaces, using generators and relations or covering spaces as necessary.
3. Calculate simple homotopy invariants, such as degrees and winding numbers.
4. State and prove standard results about homotopy, and decide whether a simple unseen statement about them is true, providing a proof or counterexample as appropriate.
5. Provide an elementary example illustrating specified behaviour in
relation to a given combination of basic definitions and key theorems across the course. |
Assessment Information
| Coursework 5%, Examination 95% |
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Compact surfaces. Homotopy. Fundamental groups and their calculation.
Covering spaces. |
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | ATop |
Contacts
| Course organiser | Dr Jonathan Pridham
Tel: (0131 6)50 3300
Email: J.Pridham@ed.ac.uk |
Course secretary | Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk |
|
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|
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