phy540 Mathematical Methods for Physics and Engineering I (Vollständige Modulbeschreibung)

Präsenzzeit: 84 Stunden Selbststudium: 186 Stunden

Knowledge of Mathematics according to the "Preparatory Course of Mathematics" offered by the university

• 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

• 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)

• K. F. Riley, M. P. Hobson, S. J. Bence: Mathematical methods for physics and engineering. Third edition, 2006