Partial Differential Equations (University of Groningen)
This is a compulsory course for University of Groningen students in the programs BSc Mathematics and BSc Applied Mathematics. I taught this course from 2015 to 2017 in classes of approximately 60 students.
Problems in physics are in general modeled in terms of PDEs such as the wave equation, the diffusion equation, and the Laplace equation. In this course the basic notions for PDEs will be treated, including classification of PDEs, uniqueness of solutions, and well-posedness. The course will focus on analytical methods to solve PDEs, including the method of characteristics, separation of variables, Green’s functions, and Fourier series.
Partial Differential Equations: An Introduction, Walter A. Strauss, 2nd edition, Wiley, 2008.