Vector Analysis, 6 credits (TNA007)

Vektoranalys, 6 hp

Main field of study

Mathematics Applied Mathematics


First cycle

Course type

Programme course


Olof Svensson

Director of studies or equivalent

George Baravdish
Course offered for Semester Period Timetable module Language Campus VOF
6CIEN Electronics Design Engineering, M Sc in Engineering 3 (Autumn 2017) 2 4 Swedish Norrköping o
6CMEN Media Technology and Engineering, M Sc in Engineering 3 (Autumn 2017) 2 4 Swedish Norrköping o

Main field of study

Mathematics, Applied Mathematics

Course level

First cycle

Advancement level


Course offered for

  • Electronics Design Engineering, M Sc in Engineering
  • Media Technology and Engineering, M Sc in Engineering

Entry requirements

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


Calculus and Linear algebra

Intended learning outcomes

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

Course content

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.

Teaching and working methods

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


KTR3Optional Written TestD0 credits
KTR2Optional Written TestD0 credits
TEN1Written examinationU, 3, 4, 56 credits


Four-grade scale, LiU, U, 3, 4, 5

Other information

Supplementary courses: Electromagnetic Field Theory and Electromagnetism, Acoustics.


Institutionen för teknik och naturvetenskap

Director of Studies or equivalent

George Baravdish


Olof Svensson

Course website and other links

Education components

Preliminär schemalagd tid: 48 h
Rekommenderad självstudietid: 112 h

Course literature

Kompletterande litteratur

Anders Ramgard, Vektoranalys


Additional literature


Anders Ramgard, Vektoranalys


KTR3 Optional Written Test D 0 credits
KTR2 Optional Written Test D 0 credits
TEN1 Written examination U, 3, 4, 5 6 credits

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at 

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