• 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