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 | Visiting students are advised to check that they have studied the material covered in the syllabus of each pre-requisite course before enrolling. |
| 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: |
Course secretary | Miss Greta Mazelyte
Tel:
Email: |
|
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