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Linköping Institute of Technology

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Valid for year : 2008
 
TNA007 Vector Analysis, 6 ECTS credits.
/Vektoranalys/

For:   ED   MT  

 

Prel. scheduled hours: 48
Rec. self-study hours: 112

  Area of Education: Science

Subject area: Mathematics

  Advancement level (G1, G2, A): G2

Aim:
This course is a continuation of the course in multi variable calculus. Consequently, the aims are similar: to give students an understanding of mathematical concepts and familiarity with mathematical methods of analysis. Here, these aims relate to the treatment of functions of several variables and vector fields which arise in all branches of physics and engineering. Students will be expected to be able to do the following after completing this course:
  • find potentials and vector potentials for a vector field
  • find flow lines of a vector field
  • calculate path and surface integrals
  • use Gauss' and Stokes' theorems for calculations of flux and path integrals
  • use spherical and cylindrical coordinates in calculations


Prerequisites: (valid for students admitted to programmes within which the course is offered)
Analys I-III and Linear algebra

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.

Supplementary courses:
Electromagnetic Field Theory and Electromagnetism, Acoustics.

Organisation:
The course is given in the form of lectures, tutorials, tests and a final examination.

Course contents:
Scalar and vector fields. The gradient, divergence and curl. Line, surface and flux integrals. The Divergence theorem and Stokes's theorem. Curvilinear coordinates. Partial differential equations.

Course literature:
Vektoranalys, Anders Ramgard, THS AB.

Examination:
Written examination
6 ECTS
 



Course language is Swedish.
Department offering the course: ITN.
Director of Studies: Clas Rydergren
Examiner: Olof Svensson
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Linköping Institute of Technology

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Contact: TFK , val@tfk.liu.se
Last updated: 06/18/2008