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MAF900_1

Mathematics and Physical Methods

This is the study programme for 2020/2021.


The course include important topics from mathematics and theoretical physics, e.g., groups and symmetries, differential geometry, path-integrals and gauge theory.

Learning outcome

After completing the course the student should have knowledge of key aspects of mathematical methods and concepts in mathematical and theoretical physics. This includes concepts of group and symmetry, and differential geometry with applications.

Contents

The course includes the following topics:
Mathematics: Lie groups / algebras, group effects, subjects from differential geometry (including Differential Forms, orthogonal frames), fiber bundles, tangent bundles, connections.
Physics: Road integrals, generating functionals and perturbasjonsrekken, effective potentials, non-abelian gaugeteorier (Yang-Mills), symmetry breaking, the Higgs mechanism and anomalies.

Required prerequisite knowledge

None.

Recommended previous knowledge

General mathematics knowledge at masters level

Exam

Weight Duration Marks Aid
Oral exam1/1 Pass - FailNone permitted

Course teacher(s)

Course coordinator
Sigbjørn Hervik
Head of Department
Bjørn Henrik Auestad

Method of work

5 hours of lectures and exercises per week. If few students the course may be arranged as guided self study.

Open to

Computer Engineering - PhD
Technology and Natural Science - PhD programme

Course assessment

Form and/or discussion according to established guidelines.

Literature

Literatur will be published as soon as it has been prepared by the course coordinator/teacher


This is the study programme for 2020/2021.

Sist oppdatert: 15.08.2020

History