| TFFY02 | Mathematical Methods of Physics, 4,5 ECTS-points /Fysikens matematiska metoder/ Advancement level: C | |
| Aim: The aim of the course is to make the student familiar with physical models and, above all, the mathematical methods used in physics. The most important aim is to give the mathematical knowledge in order to make it possible to solve the most frequent partial differential equations in physics. The course starts with repetition of ordinary differential equations, in order to give a stable ground for further advancements.Prerequisites: ATM06 Analysis for Y, ATM22 Linear algebra, ATM41 Vector analysis I, ATM50 Theory of analytic functions, ATM51 Transform theory.Course organization: "Storseminarier" (Big seminars) mean seminars and problems following a special plan and with a big number of members in the groups.Course content: Ordinary differential equations with boundaries. Special methods for the evaluation of integrals. Ordinary methods for fourier analysis. Cylindrical and spherical coordinates. Bessel functions and Legendre polynom. Hermite and Laguerre polynom. Linear partial differential equations with boundary values, i e Laplaces' equation, Poissons' equation, the wave equation and the temperature equation. The Shrödinger equation is exemplified with mathematically more difficult solutions. Methods: Separation of variables, developing functions in orthogonal systems, techniques of Fourier- and Laplace transforms.Course literature: Ruel V. Churchill: Fourier Series and Boundary Value Problems. Complementary addition of problems (written in Swedish). | ||
| TEN1 | A written examination containing theory problems and practical soulution of problems., 3 p. | |