Undergraduate Course: Algebraic Topology (MATH10077)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Credit level (Normal year taken) | SCQF Level 10 (Year 4 Undergraduate) |
Availability | Available to all students |
| SCQF Credits | 10 |
ECTS Credits | 5 |
| Summary | This course will introduce students to essential notions in algebraic topology, such as compact surfaces, homotopies, fundamental groups and covering spaces. |
| Course description |
Compact surfaces. Homotopy. Fundamental groups and their calculation.
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. |
Information for Visiting Students
| Pre-requisites | None |
Course Delivery Information
|
| Academic year 2015/16, Available to all students (SV1)
|
Quota: None |
| Course Start |
Semester 2 |
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 )
|
| Assessment (Further Info) |
Written Exam
95 %,
Coursework
5 %,
Practical Exam
0 %
|
| Additional Information (Assessment) |
Coursework 5%, Examination 95% |
| Feedback |
Not entered |
| Exam Information |
| Exam Diet |
Paper Name |
Hours & Minutes |
|
| Main Exam Diet S2 (April/May) | MATH10077 Algebraic Topology | 2:00 | |
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.
|
Additional Information
| Graduate Attributes and Skills |
Not entered |
| Keywords | ATop |
Contacts
| Course organiser | Dr Jonathan Pridham
Tel: (0131 6)50 3300
Email: |
Course secretary | Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: |
|
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|
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