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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2015/2016

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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Modern Methods in Geometry and Topology (MATH11142)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 11 (Year 5 Undergraduate) AvailabilityAvailable to all students
SCQF Credits10 ECTS Credits5
SummaryThis course will highlight important developments in geometry and topology throughout the preceding century, and train students to approach problems in these fields with a modern perspective. Topics will draw from the research interests and expertise of staff teaching the course.
Course description The syllabus will vary from year-to-year. Possible topics include:
- Cohomological methods in geometry and topology
- Combinatorial algebraic geometry
- Classification of manifolds
- Homotopy theory
- Symplectic geometry
- Riemann surfaces
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: Differentiable Manifolds (MATH10088)
Students MUST have passed: General and Algebraic Topology (MATH10075) OR ( General Topology (MATH10076) AND Algebraic Topology (MATH10077))
Co-requisites
Prohibited Combinations Other requirements None
Information for Visiting Students
Pre-requisitesNone
Course Delivery Information
Academic year 2015/16, 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 80 %, Coursework 20 %, Practical Exam 0 %
Additional Information (Assessment) Coursework 20%, Examination 80%
Feedback Not entered
No Exam Information
Learning Outcomes
Students will learn one of the methods that have become essential for the study of Geometry and Topology during the 20th century. They will

1. be able to explain the method's underlying definitions and essential constructions, and
2. be able to provide examples illustrating them;
3. understand its application for fundamental results in the area, and be able to demonstrate this understanding by explaining key steps in the proof of these fundamental results; and
4. learn to apply this method as a problem-solving tool.
Reading List
None
Additional Information
Graduate Attributes and Skills Not entered
KeywordsMMGT
Contacts
Course organiserDr Thomas Leinster
Tel: (0131 6)50 5057
Email:
Course secretaryMrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email:
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