phy540 Mathematical Methods for Physics and Engineering I (Complete module description)

Module label	Mathematical Methods for Physics and Engineering I
Modulkürzel	phy540
Credit points	9.0 KP
Workload	270 h ( Präsenzzeit: 84 Stunden Selbststudium: 186 Stunden )
Verwendbarkeit des Moduls	Fach-Bachelor Engineering Physics > Basismodule Fach-Bachelor Physik, Technik und Medizin > Basismodule
Zuständige Personen	Uppenkamp, Stefan (module responsibility) Doclo, Simon (Prüfungsberechtigt) Hohmann, Volker (Prüfungsberechtigt) Uppenkamp, Stefan (Prüfungsberechtigt) van de Par, Steven (Prüfungsberechtigt)
Prerequisites	Knowledge of Mathematics according to the "Preparatory Course of Mathematics" offered by the university
Skills to be acquired in this module	To gain basic understanding of the principles of mathematical reasoning; to obtain knowledge in the application of calculus to solve problems in physics and engineering
Module contents	Vector algebra (vectors in 2- and 3-space, vector multiplication, planes, lines, cylindrical and spherical coordinates) Preliminary calculus (elementary functions, limits, series, differentiation, integration) Complex numbers, preliminary complex analysis Introduction to ordinary differential equations, especially for oscillatory systems Partial differentiation Vector calculus (scalar and vector fields, vector operators, line, surface and volume integrals, divergence and Stokes’ theorem)
Literaturempfehlungen	K. F. Riley, M. P. Hobson, S. J. Bence: Mathematical methods for physics and engineering. Third edition, 2006
Links
Language of instruction	English
Duration (semesters)	1 Semester
Module frequency	Wintersemester
Module capacity	unrestricted
Modulart	Pflicht / Mandatory
Modullevel	BC (Basiscurriculum / Base curriculum)

Lehrveranstaltungsform	SWS	Workload of compulsory attendance
Lecture	4	56
Exercises	2	28
Präsenzzeit Modul insgesamt		84 h

Examination	Prüfungszeiten	Type of examination
Final exam of module		Max. 180 min written exam or 45 min oral exam.