# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2018/2019

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DRPS : Course Catalogue : School of Mathematics : Mathematics

# 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 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.
 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 None
 Pre-requisites None High Demand Course? Yes
 Academic year 2018/19, 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
 On completion of this course, the student will be able to: Construct homotopies and prove homotopy equivalence for simple examplesCalculate 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.
 None
 Graduate Attributes and Skills Not entered Keywords ATop
 Course organiser Dr Jonathan Pridham Tel: (0131 6)50 3300 Email: J.Pridham@ed.ac.uk Course secretary Mrs Alison Fairgrieve Tel: (0131 6)50 5045 Email: Alison.Fairgrieve@ed.ac.uk
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