| TATA44 |
Vector Analysis, 4 ECTS credits.
/Vektoranalys /
For:
FyN
I
Ii
Mat
MED
Y
Yi
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Prel. scheduled
hours: 46
Rec. self-study hours: 61
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Area of Education: Science
Main field of studies: Mathematics, Applied Mathematics
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Advancement level
(G1, G2, A): G1
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Aim:
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
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Courses in calculus 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.
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Supplementary courses:
Complex Analysis, Fourier Analysis
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Organisation:
Teaching is done in lectures and problem classes.
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Course contents:
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.
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Course literature:
Kompendium i vektoranalys, K. Daho
Exempelsamling i vektoranalys, M. Nikoltjeva-Hedberg, utgiven av MAI.
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Examination: |
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Written examination
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4 ECTS
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Course language is Swedish.
Department offering the course: MAI.
Director of Studies: Jesper Thorén
Examiner: Peter Basarab-Horwath
Link to the course homepage at the department
Course Syllabus in Swedish
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