Course Contents
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;
Online Offerings
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