Course syllabus

# Vektoranalys Vector Analysis

## FMFF01, 3 credits, G2 (First Cycle)

Valid for: 2019/20
Decided by: PLED N
Date of Decision: 2019-03-28

## General Information

Main field: Technology.
Compulsory for: F2
Language of instruction: The course will be given in Swedish

## Aim

To introduce the student to the methods of vector analysis, both theory and applications.

## Learning outcomes

Knowledge and understanding
For a passing grade the student must

• know the basic theory and be able to apply it to physical problems.
• be able to use suitable coordinate systems to solve problems with various geometry.

Competences and skills
For a passing grade the student must

• be able to analyze and solve problems in vector analysis.
• be able to analyze simple physical problems and find a mathematical description of these.

Judgement and approach
For a passing grade the student must

come to an understanding of the relation between the mathematical model and the physical reality.

## Contents

Scalar and vector fields. Gradient and divergence. Surface integrals and the divegence theorem. Applications to heat conduction and electrical currents. Spherical and cylindrical coordinates. Curl and Stokes theorem. Potentials and singular fields.

## Examination details

Grading scale: TH - (U,3,4,5) - (Fail, Three, Four, Five)
Assessment: Written exam.

The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.

Required prior knowledge: FMAB20 Linear Algebra, FMAA05 Calculus in One Variable, FMAB30 Calculus in Severable Variables, FMEA05 Engineering Mechanics - Statics and Particle Dynamics, FMEA20 Mechanics - Dynamics.
The number of participants is limited to: No
The course overlaps following course/s: ESS050

• Not definite.

## Contact and other information

Course coordinator: Jakob Bengtsson, jakob.bengtsson@matfys.lth.se
Course homepage: http://www.matfys.lth.se/education/FMFF01