Basics (real numbers, equations and inequalities, binomial theorem, complex numbers) 

Linear Algebra (matrices, determinants, linear systems of equations, Eigenvalues) 

Vector Algebra (Cartesian coordinates, basic operations with applications) 

Introduction to Descriptive Statistics (parameters of samples) 

Functions (representation, basic properties, inverse functions, limits, continuity, elementary classes) 

One-dimensional calculus (differential quotient, laws of differentiation, Taylors theorem, de l’Hospital, local extrema, curve scetching) 

One-dimensional integrals (indefinite integral, laws of integration, definite integrals, main theorem of differentiation and integration, application to areas, arc length and volumes, improper integrals)