MAT-60506 Vector Fields, 5 cr
Additional information
Suitable for postgraduate studies
Will not be lectured year 2015-2016
Person responsible
Heikki Orelma, Sirkka-Liisa Eriksson
-->Requirements
Ei luennoida. Suorituksesta sovitaan erikseen opettajan kanssa.
Completion parts must belong to the same implementation
Learning Outcomes
Introduction to manifolds, differential forms, form fields and potentials and their connection to physical fields and partial differential equations.
Content
| Content | Core content | Complementary knowledge | Specialist knowledge |
| 1. | Manifolds. Differential forms. Generalized Stokes Theorem. Potentials. Vector fields (form fields) and their properties. Derivation, transformation and basic properties of partial differential equations. | Connections to classical vector analysis: Green's identities, curvilinear coordinates and solid angles . | Pullbacks and their uses. |
Study material
| Type | Name | Author | ISBN | URL | Additional information | Examination material |
| Book | Differential forms with applications to the physical sciences | Flanders, Harley | 0-486-66169-5 | Yes |
Prerequisites
| Course | Mandatory/Advisable | Description |
| MAT-02400 Vektorianalyysi | Mandatory | 1 |
| MAT-60206 Mathematical Analysis | Advisable |
1 . Or any other basic course on vector analysis.
Correspondence of content
There is no equivalence with any other courses