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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2023/2024

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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Algebraic Topology (MATH10077)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 10 (Year 4 Undergraduate) AvailabilityAvailable to all students
SCQF Credits10 ECTS Credits5
SummaryThis 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-requisitesNone
High Demand Course? Yes
Course Delivery Information
Academic year 2023/24, 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 Topology2:00
Learning Outcomes
On completion of this course, the student will be able to:
  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.
Reading List
None
Additional Information
Graduate Attributes and Skills Not entered
KeywordsATop
Contacts
Course organiserDr Jonathan Pridham
Tel: (0131 6)50 3300
Email: J.Pridham@ed.ac.uk
Course secretaryMiss Greta Mazelyte
Tel:
Email: greta.mazelyte@ed.ac.uk
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