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Course Catalog 2010-2011
MAT-33356 Vector Fields, 6 cr |
Person responsible
Keijo Ruohonen
Requirements
Active participation in exercises and written solutions to homework exercises, or a closed-book written 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. |
Study material
| Type | Name | Author | ISBN | URL | Edition, availability, ... | Examination material | Language |
| Book | Vector Calculus, Linear Algebra, and Differential Forms. A Unified Approach | Hubbard, J.H. & Hubbard, B.B. | English | ||||
| Summary of lectures | Vektorikentät | Ruohonen, K. | Suomi |
Prerequisite relations (Requires logging in to POP)
Correspondence of content
There is no equivalence with any other courses
Additional information
Suitable for postgraduate studies
Will not be lectured year 2010-2011