THE UNIVERSITY of EDINBURGH

DEGREE REGULATIONS & PROGRAMMES OF STUDY 2016/2017

University Homepage
DRPS Homepage
DRPS Search
DRPS Contact
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
High Demand Course? Yes
Course Delivery Information
Not being delivered
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 James Maddison
Tel: (0131 6)50 5036
Email: j.r.maddison@ed.ac.uk
Course secretaryMr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk
Navigation
Help & Information
Home
Introduction
Glossary
Search DPTs and Courses
Regulations
Regulations
Degree Programmes
Introduction
Browse DPTs
Courses
Introduction
Humanities and Social Science
Science and Engineering
Medicine and Veterinary Medicine
Other Information
Combined Course Timetable
Prospectuses
Important Information
 
© Copyright 2016 The University of Edinburgh - 3 February 2017 4:44 am