Undergraduate Course: Algebraic Topology (MATH10077)
|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
|Summary||This course will introduce students to essential notions in algebraic topology, such as compact surfaces, homotopies, fundamental groups and covering spaces.
Compact surfaces. Homotopy. Fundamental groups and their calculation.
Entry Requirements (not applicable to Visiting Students)
|| Students MUST have passed:
General Topology (MATH10076)
||Other requirements|| None
Information for Visiting Students
|High Demand Course?
Course Delivery Information
|Academic year 2023/24, Available to all students (SV1)
|Learning and Teaching activities (Further Info)
Lecture Hours 22,
Seminar/Tutorial Hours 5,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
|Assessment (Further Info)
|Additional Information (Assessment)
||Coursework 5%, Examination 95%
||Hours & Minutes
|Main Exam Diet S2 (April/May)||MATH10077 Algebraic Topology||2:00|
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.
|Graduate Attributes and Skills
|Course organiser||Dr Jonathan Pridham
Tel: (0131 6)50 3300
|Course secretary||Miss Greta Mazelyte