Postgraduate Course: MIGSAA Geometry and topology 2 (MATH12004)

Course Outline
School	School of Mathematics	College	College of Science and Engineering
Credit level (Normal year taken)	SCQF Level 12 (Postgraduate)	Availability	Not available to visiting students
SCQF Credits	15	ECTS Credits	7.5
Summary	Only students of the MIGSAA CDT may take this course This course covers several fundamental topics in Geometry & Topology, providing a solid and broad foundation to the subject and its interactions with algebra and analysis. The course discusses curvature on manifolds, then introduces differential topology and de Rham cohomology, leading on to vector bundles, connections, and Chern classes.
Course description	Not entered

Entry Requirements (not applicable to Visiting Students)
Pre-requisites		Co-requisites
Prohibited Combinations		Other requirements	None

Course Delivery Information

Academic year 2015/16, Not available to visiting students (SS1)		Quota: None
Course Start	Semester 2
Timetable	Timetable
Learning and Teaching activities (Further Info)	Total Hours: 150 ( Lecture Hours 20, Programme Level Learning and Teaching Hours 3, Directed Learning and Independent Learning Hours 127 )
Assessment (Further Info)	Written Exam 0 %, Coursework 100 %, Practical Exam 0 %
Additional Information (Assessment)	Coursework: 100%
Feedback	Not entered
No Exam Information

Learning Outcomes
Thorough understanding of the applications of topology to the local and global geometry of manifolds. An understanding of the key role of vector bundles in the geometry and topology of manifolds. Familiarity with the manipulation of manifolds using analysis.