MAT-3111 | UiT

Type of course

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

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.

Course overlap

If you pass the examination in this course, you will get an reduction in credits (as stated below), if you previously have passed the following courses:

MA-316 Analysis on manifolds 10 ects

Course content

Vector bundles, connections, Riemannian geometry, symplectic geometry, vector distributions, jet-calculus, integration on manifolds and de Rham cohomology, Lie groups and algebras.

Recommended prerequisites

MAT-3110 Differential Geometry

Objectives of the course

The candidate shall:

obtain a solid knowledge and understanding of connections on vector bundles, various geometries including Riemannian and symplectic, their equivalences and invariants.
be able to perform calculations in concrete examples, using these concepts, in particular compute curvatures and symmetries of geometric structures.

Language of instruction and examination

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

Information to incoming exchange students

This course is available for inbound exchange students.

This course is open for inbound exchange student who meets the admission requirements. Please see the Admission requirements.

Do you have questions about this module? Please check the following website to contact the course coordinator for exchange students at the faculty: INBOUND STUDENT MOBILITY: COURSE COORDINATORS AT THE FACULTIES | UiT

Schedule

Examination

Examination:	Duration:	Grade scale:
Oral exam	8 Hours	A–E, fail F
Coursework requirements: To take an examination, the student must have passed the following coursework requirements:
Mandatory assignments	Approved – not approved

Examination:

Duration:

Grade scale:

Oral exam

8 Hours

A–E, fail F

Coursework requirements:

To take an examination, the student must have passed the following coursework requirements:

Mandatory assignments

Approved – not approved

UiT Exams homepage

Re-sit examination

A re-sit exam will not be held.

spring 2026 MAT-3111 Differential Geometry 2 - 10 ECTS