THE UNIVERSITY of EDINBURGH

DEGREE REGULATIONS & PROGRAMMES OF STUDY 2019/2020

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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
SummaryNB. This course is delivered *biennially* with the next instance being in 2019 - 20. It is anticipated that it would then be delivered every other session thereafter.

This 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

For 2019/20 the topic of this course is planned to be Homotopy Theory.

Entry Requirements (not applicable to Visiting Students)
Pre-requisites Co-requisites
Prohibited Combinations Other requirements Students must have taken;

Honours Algebra (MATH10069)
and
General Topology (MATH10076)

With permission of the lecturer, General Topology can be taken simultaneously.
Information for Visiting Students
Pre-requisitesNone
High Demand Course? Yes
Course Delivery Information
Academic year 2019/20, Available to all students (SV1) Quota:  None
Course Start Semester 1
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 0 %, Coursework 100 %, Practical Exam 0 %
Additional Information (Assessment) Coursework 100%
Feedback Not entered
No Exam Information
Learning Outcomes
On completion of this course, the student will be able to:
  1. Learn one of the methods that have become essential for the study of Geometry and Topology during the 20th century.
  2. Explain the method's underlying definitions and essential constructions and provide examples illustrating them.
  3. Understand application of the method for fundamental results in the area and demonstrate this understanding by explaining key steps in the proof of these fundamental results.
  4. Apply this method as a problem-solving tool.
Reading List
None
Additional Information
Graduate Attributes and Skills Not entered
KeywordsMMGT
Contacts
Course organiserDr Clark Barwick
Tel: (0131 6)50 5073
Email: Clark.Barwick@ed.ac.uk
Course secretaryMr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk
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