Vector Analysis, 4 credits (TATA44)

Vektoranalys, 4 hp

Main field of study

Mathematics Applied Mathematics

Level

First cycle

Course type

Programme course

Examiner

Peter Basarab-Horwath

Director of studies or equivalent

Jesper Thorén
Course offered for Semester Period Timetable module Language Campus VOF
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - French 7 (Autumn 2017) 1 1 Swedish Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Japanese 7 (Autumn 2017) 1 1 Swedish Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Spanish 7 (Autumn 2017) 1 1 Swedish Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - German 7 (Autumn 2017) 1 1 Swedish Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Chinese 7 (Autumn 2017) 1 1 Swedish Linköping v
6CIII Industrial Engineering and Management, M Sc in Engineering 7 (Autumn 2017) 1 1 Swedish Linköping v
6CMED Biomedical Engineering, M Sc in Engineering 3 (Autumn 2017) 1 1 Swedish Linköping o
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering 3 (Autumn 2017) 1 1 Swedish Linköping o
6KFYN Physics, Bachelor´s Programme 3 (Autumn 2017) 1 1 Swedish Linköping o
6KMAT Mathematics, Bachelor´s Programme 3 (Autumn 2017) 1 1 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering, French 3 (Autumn 2017) 1 1 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering, Spanish 3 (Autumn 2017) 1 1 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering, German 3 (Autumn 2017) 1 1 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering, Chinese 3 (Autumn 2017) 1 1 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering, Japanese 3 (Autumn 2017) 1 1 Swedish Linköping o

Main field of study

Mathematics, Applied Mathematics

Course level

First cycle

Advancement level

G1X

Course offered for

  • Industrial Engineering and Management - International, M Sc in Engineering
  • Industrial Engineering and Management, M Sc in Engineering
  • Biomedical Engineering, M Sc in Engineering
  • Applied Physics and Electrical Engineering, M Sc in Engineering
  • Physics, Bachelor´s Programme
  • Mathematics, Bachelor´s Programme
  • Applied Physics and Electrical Engineering - International, 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.

Prerequisites

Courses in calculus and linear algebra.

Intended learning outcomes

The course deals with vector functions and vector fields, and gives the mathematical theory of potentials and flows which are at the basis of, amongst other areas, theoretical electrotechnology and fluid mechanics. After the course one can

  • find potentials for a vector field
  • calculate path and flux integrals, with and without the use of integral theorems
  • use spherical and cylindrical coordinates in calculations

Course content

Vector functions and vector fields. Spherical and cylindrical coordinate systems. The concepts of potential, gradient, divergence and curl. Integral theorems: Gauss', Stokes' and Green's theorems.

Teaching and working methods

Teaching is done in lectures and problem classes.

Examination

TEN1Written examinationU, 3, 4, 54 credits

Grades

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

Other information

Supplementary courses: Complex Analysis, Fourier Analysis

Department

Matematiska institutionen

Director of Studies or equivalent

Jesper Thorén

Examiner

Peter Basarab-Horwath

Education components

Preliminary scheduled hours: 46 h
Recommended self-study hours: 61 h

Course literature

Additional literature

Compendiums
K. Daho, Kompendium i vektoranalysM. Nikoltjeva-Hedberg, Exempelsamling i vektoranalys, utgiven av MAI

Additional literature

Compendia

K. Daho, Kompendium i vektoranalys
M. Nikoltjeva-Hedberg, Exempelsamling i vektoranalys, utgiven av MAI
TEN1 Written examination U, 3, 4, 5 4 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 http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva. 

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