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Degree Regulations & Programmes of Study 2010/2011
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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Topology (MATH10027)

Course Outline
School School of Mathematics College College of Science and Engineering
Course type Standard Availability Available to all students
Credit level (Normal year taken) SCQF Level 10 (Year 4 Undergraduate) Credits 20
Home subject area Mathematics Other subject area Specialist Mathematics & Statistics (Honours)
Course website http://student.maths.ed.ac.uk
Course description Course for final year students in Honours programmes in Mathematics.

Metric spaces. Topological spaces. Compactness, connectedness, path-connectedness. Identification spaces. Compact surfaces. Homotopy. Fundamental groups and their calculation. Covering spaces.
Entry Requirements
Pre-requisites Students MUST have passed: ( Foundations of Calculus (MATH08005) AND Several Variable Calculus (MATH08006) AND Linear Algebra (MATH08007) AND Methods of Applied Mathematics (MATH08035)) OR ( Mathematics for Informatics 3a (MATH08042) AND Mathematics for Informatics 3b (MATH08043) AND Mathematics for Informatics 4a (MATH08044) AND Mathematics for Informatics 4b (MATH08045))
Co-requisites
Prohibited Combinations Other requirements None
Additional Costs None
Information for Visiting Students
Pre-requisites None
Prospectus website http://www.ed.ac.uk/studying/visiting-exchange/courses
Course Delivery Information
Delivery period: 2010/11 Full Year, Available to all students (SV1) WebCT enabled:  Yes Quota:  None
Location Activity Description Weeks Monday Tuesday Wednesday Thursday Friday
King's BuildingsLecture1-22 12:10 - 13:00
King's BuildingsLecture1-22 12:10 - 13:00
First Class Week 1, Tuesday, 10:00 - 10:50, Zone: King's Buildings. JCMB, room 6301
Additional information Moves in S2 to M&Th at 1000 hrs
Summary of Intended Learning Outcomes
1. Familiarity with abstract arguments
2. Ability to argue in general and apply the ideas to specific examples
3. Knowledge about topology and its role in mathematics
4. Familiarity with results that need topological ideas in their proofs
5. The ability to calculate with generators and relations of groups
6. An ability to calculate some invariants of knots and link
Assessment Information
Coursework 15%; Examination 85%.
Please see Visiting Student Prospectus website for Visiting Student Assessment information
Special Arrangements
Not entered
Contacts
Course organiser Dr Liam O'Carroll
Tel: (0131 6)50 5070
Email: L.O'Carroll@ed.ac.uk		 Course secretary Mrs Alison Fairgrieve
Tel: (0131 6)50 6427
Email: Alison.Fairgrieve@ed.ac.uk
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copyright 2010 The University of Edinburgh - 1 September 2010 6:18 am