Vår 2022

MAT-3111 Differential Geometry 2 - 10 stp

The course is administrated by

Institutt for matematikk og statistikk

Type of course

The course is included in the study program Mathematics - master. It may also be taken independent of study program upon approval of the Department of mathematics and statistics.

Course overlap

MA-316 Analysis on manifolds 10 stp

Course contents

Vector bundles, connections, Riemannian geometry, integration on manifolds and de Rham cohomology.

Application deadline

Applicants from Nordic countries: 1 June for the autumn semester and 1 December for the spring semester. Applicants from outside the Nordic countries: 1 October for the spring semester and 15 April for the autumn semester.

Admission requirements

Bachelor of science degree in mathematics or equal. Recommended prerequsites is MAT-3110 Differential Geometry 1 or a similar course in differential geometry.

Application code is 9371.

Objective of the course

The candidate shall:

obtain a solid knowledge and understanding of Vector bundles, connections, Riemannian geometry, integration on manifolds and de Rham cohomology.
be able to perform calculations in concrete examples, using these concepts.

Language of instruction

The language of instruction and the syllabus is English. Examination questions will be given in English, but may be answered either in English or a Scandinavian language.

Teaching methods

Lectures: 40 h Coursework: 30 h

Assessment

One oral exam counting 100%.

Assessment scale: Letter grades A-F.

Coursework requirements

A passing grade is required on the mandatory homework sets for permission to take the exam.

A re-sit exam will be arranged for this course

Date for examination

Oral examination 09.06.2022

The date for the exam can be changed. The final date will be announced at your faculty early in May and early in November.