THE UNIVERSITY of EDINBURGH

DEGREE REGULATIONS & PROGRAMMES OF STUDY 2022/2023

Timetable information in the Course Catalogue may be subject to change.

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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Interactions in Algebra, Geometry, and Topology (MATH11145)

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 2022-23. It is anticipated that it would then be delivered every other session thereafter.

One of the pinnacles of contemporary mathematical practice is the fundamental interaction between algebra, geometry and topology. This course will highlight diverse mathematical topics in these fields which synthesize results and methods across mathematical disciplines.

For 2022/23 the topic of this course is planned to be Sheaf Theory.
Course description Students will learn a subject which bridges at least two mathematical disciplines.

The syllabus will vary from year to year. Possible topics include:
- algebraic curves and surfaces
- differential topology
- projective geometry
- topological field theory
- quantum groups
- Lie groups
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: Honours Algebra (MATH10069) AND Honours Differential Equations (MATH10066) AND Honours Complex Variables (MATH10067) AND Differential Geometry (MATH11235)
Co-requisites
Prohibited Combinations Other requirements None
Information for Visiting Students
Pre-requisitesVisiting students are advised to check that they have studied the material covered in the syllabus of any pre-requisite course listed above before enrolling.
High Demand Course? Yes
Course Delivery Information
Academic year 2022/23, 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
Exam Information
Exam Diet Paper Name Hours & Minutes
Main Exam Diet S2 (April/May)Interactions in Algebra, Geometry, and Topology2:00
Resit Exam Diet (August)Interactions in Algebra, Geometry, and Topology (MATH11145)2:00
Learning Outcomes
On completion of this course, the student will be able to:
  1. Explain the subject's underlying definitions and essential constructions.
  2. Provide examples illustrating these definitions and constructions.
  3. Understand frameworks for translating problems between disciplines, and demonstrate this understanding by explaining key steps in establishing the framework.
  4. Learn to apply key results as a problem-solving tool, and demonstrate this understanding by analysing key examples.
Reading List
None
Additional Information
Graduate Attributes and Skills Not entered
KeywordsIAGT
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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