Mathematical Methods for Physics III

Course Code :1003WETWMF
Study domain:Mathematics
Academic year:2019-2020
Semester:2nd semester
Contact hours:60
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:Dutch
Exam period:exam in the 2nd semester
Lecturer(s)David Eelbode
Yannick Gullentops

3. Course contents *

This course in a sense continues developing the classical calculus framework (see part I of this course), hereby covering the following subjects: 


* Frobenius' method for solving differential equations (both for regular and singular points), with special attention for some special functions often occurring in physics (Airy - Bessel - Hermite)


* systems of differential equations and diagonalisation techniques


* multivariate calculus, with special emphasis on extremal problems in several variables (including the theory of Lagrange multipliers) and integration in several variables (surface and volume integrals + short summary of the connections between these objects)


* a concise introduction to complex analysis, starting from conservative vector fields (including residu calculus)