Course Catalog 2014-2015
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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   Vektorikentšt   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

Last modified29.01.2014