Mathematical Methods of Physics NV1

7.5 credits

Syllabus, Bachelor's level, 1TF307

Code
1TF307
Education cycle
First cycle
Main field(s) of study and in-depth level
Physics G1F
Grading system
Pass with distinction (5), Pass with credit (4), Pass (3), Fail (U)
Finalised by
The Faculty Board of Science and Technology, 15 March 2007
Responsible department
Department of Physics and Astronomy

Entry requirements

Mathematics corresponding to Algebra MN1, Analys MN2, Mekanik MN1 and MN2 or equivalent.

Learning outcomes

The course is intended to give knowledge in vector analysis, which is to be applied in formulation of physical problems as partial differential equations. There will also be given a "how-to-do-it"-type knowledge of the methods for solving the most common partial diffential equations and on certain special functions and approximate methods.

Content

Vector analysis: nabla operator, integral theorems, curvlinear coordinates, differentials, introduction to tensor analysis. Formulation of physical problems as partial differential equations. Elementary methods for solutions of partial differential equations: d'Alemberts solution, separation of variables, expansion in eigenfunctions. Cylindrical and spherical problems: Bessel functions and Legendre functions. Greens functions.

Instruction

Lectures and lessons.

Assessment

Written examination at the end of the course.

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