autumn 2017

MAT-3110 Differential Geometry 1 - 10 ECTS

Sist endret: 20.02.2018

The course is provided by

Faculty of Science and Technology


Tromsø |

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.

Type of course

The course is included in the Master's degree program in mathematics. 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. Application code is 9371.

Course content

Introduction to smooth manifolds, vector and tensor fields, Lie derivative and differential forms.

Recommended prerequisites

MAT-1003 Calculus 3, MAT-1004 Linear algebra

Objectives of the course

The candidate shall: •

  • obtain a solid knowledge and understanding of smooth manifolds, vector and tensor fields, Lie derivative and differential forms •
  • 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


One oral exam counting 100%.

Assessment scale: Letter grades A-F.

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


Course overlap

MA-311 Differential topology and analysis on manifolds 10 stp

Recommended reading/syllabus

The syllabus is based on lectures notes. More info will come.


Kruglikov, Boris

Telefon: +4777644779