Syllabus 2008/2009 FMFF01

Syllabus academic year 2008/2009
(Created 2008-07-17.)

VECTOR ANALYSIS

FMFF01

Higher education credits: 3. Grading scale: TH. Level: G2 (First level). Language of instruction: The course will be given in Swedish. Compulsory for: F2. Course coordinator: Gunnar Ohlén, gunnar.ohlen@matfys.lth.se, Fysik, kurslaboratoriet. Recommended prerequisits: FMA420 Linear Algebra, FMAA05 Calculus in One Variable, FMA430 Calculus in Severable Variables, FMEA05 Engineering Mechanics - Statics and Particle Dynamics, FMEA20 Mechanics - Dynamics. Assessment: Written exam. Home page: http://www.matfys.lth.se/vektoranalys.

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

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

Skills and abilities
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.

Literature
Not definite.