# Models and simulations, FYTA11, 30 hp

## Description

This course is intended to teach fundamental mathematical methods of physics and fundamental programming, starting from mainly biophysical and geophysical applications. Among the topics covered are: dimensional analysis, first and second order linear ordinary differential equations; fixed points and linearization of non-linear differential equations around fixed points; matrices, eigenvalue equations and determinants; fundamental vector analysis; random walks; simple partial differential equations, e.g., the continuity equation, the diffusion equation, and the wave equation; and Fourier analysis. The programming language taught is Java, and programming is linked to simulations of a variety of model systems.