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Course Catalog 2014-2015
MAT-60506 Vector Fields, 5 cr |
Additional information
Suitable for postgraduate studies
Will not be lectured year 2014-2015
Person responsible
Keijo Ruohonen, Heikki Orelma, Sirkka-Liisa Eriksson
Requirements
A closed-book exam.
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 | Edition, availability, ... | Examination material | Language |
| Book | Vector Calculus, Linear Algebra, and Differential Forms | Hubbard, J.H. & Hubbard, B.B. | 978-0-9715766-3-6 | No | English | ||
| Summary of lectures | Vector Fields | Ruohonen, K. | No | English | |||
| Summary of lectures | Vektorikentät | Ruohonen, K. | No | Suomi |
Prerequisites
| Course | Mandatory/Advisable | Description |
| MAT-02400 Vektorianalyysi | Mandatory | 1 |
| MAT-60206 Mathematical Analysis | Advisable |
1 . Or any other basic course on vector analysis.
Prerequisite relations (Requires logging in to POP)
Correspondence of content
There is no equivalence with any other courses