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 | |
Other requirements | None |
Information for Visiting Students
| Pre-requisites | This is a Year 4, Honours level course. Visiting students are expected to have an academic profile equivalent to the first three years of the BSc (Hons) Mathematics programme (UTMATHB). Students should have passed courses equivalent to General Topology (MATH10076). |
| High Demand Course? |
Yes |
Course Delivery Information
|
| Academic year 2025/26, 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
100 %,
Coursework
0 %,
Practical Exam
0 %
|
| Additional Information (Assessment) |
Coursework 0%, Examination 100% |
| Feedback |
Not entered |
| Exam Information |
| Exam Diet |
Paper Name |
Minutes |
|
| Main Exam Diet S2 (April/May) | MATH10077: Algebraic Topology | 120 | |
Learning Outcomes
On completion of this course, the student will be able to:
- Construct homotopies and prove homotopy equivalence for simple examples
- Calculate fundamental groups of simple topological spaces, using generators and relations or covering spaces as necessary.
- Calculate simple homotopy invariants, such as degrees and winding numbers.
- 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.
- 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 | Mr Iordanis Romaidis
Tel:
Email: iromaidi@ed.ac.uk |
Course secretary | Miss Greta Mazelyte
Tel:
Email: greta.mazelyte@ed.ac.uk |
|
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