Kursinformation

Lehrinhalte
1) Differential equations:

a) First order ordinary differential equations - existence and uniqueness, numerical methods;
b) Second order ordinary differential equations - linear differential equations with constant and variable coefficients, systems of linear differential equations;
c) Partial differential equations - classification, product ansatz, Fourier series;

2) Calculus of variations;

3) Probability theory - conditional probabilities, random variables and distribution functions, mean and variance, central limit theorem;

4) Statistics:

a) descriptive statistics;
b) estimation techniques and confidence intervals - unbiasedness
and consistency, maximum likelihood estimate;
c) statistical tests - tests assuming Gaussian distribution, chi^2 test of goodness of fit, analysis of variance;