Statistics and Business Mathematics (BSc and MSc Level, 5 ECTS)
Descriptive statistics
Probability theory (Laplace and Kolmogorov)
Discrete (binomial, hypergeometric, Poisson) and continuous probability distributions (normal, student, exponential)
One- and two sample hypothesis testing (parametric and non-parametric)
ANOVA
Regression analysis, time-series modelling and forecasting
Statistics, Econometrics and Probability theory (BSc Level, 3 ECTS)
Combinatorics
Kolmogorov probability theory, measure theory
Probability distributions
Central limit theorem
AR(n), VAR(n), TVAR, TVECM models
Regression analysis
Applications in economics
Linear Algebra and Vector Geometry (BSc Level, 3 ECTS)
Systems of linear equations (Gauss and Gauss-Jordan algorithm)
Matrix algebra (rank, determinant, singularity, eigenvalues)
Vector geometry in n-dimensional real spaces (different representations of n-1 dimensional objects)
Vector spaces and linear mappings (isomorphism, homomorphism, kernel, image, rank-nullity theorem)
Algebra (BSc Level, 3 ECTS)
Complex numbers (arithmetic, polar and exponential representation)
Base operations (+, -, *, /), exponentiation, n-th root and logarithm of complex numbers
Fundamental theorem of algebra
Numerical methods (Regula falsi, Newton, Muller)
Vector spaces (dimension, basis, linear independence)
Analysis I (BSc Level, 3 ECTS)
Number sets
Real functions
Series, sequences, convergences
Differential calculus, Taylor expansion
Integral calculus
Applications in physics, engineering sciences and economics