Real numbers:
Elementary properties of real numbers. Absolute value. Power and logarithm. Sup and Inf.

Functions and Limits:
Monotone functions. Limits and their property. Continuity and properties of continuous functions.
Basic functions - Trigonometric functions, exponential, hyperbolic and their inverses.

Calculus:
Derivatives of a real function and their properties. Theorems of Rolle, Lagrange and Cauchy. Computation of limits by the l’Hopital’s rule. Taylor polynomials.

Integral calculus:
Definite integrals. Integration of continuous functions. Integral functions. First and Second Fundamental Theorem of Calculus. Indefinite integrals. Integration by parts and by substitution.

Statics and probability:
Populations and samples. Different types of statistics: descriptive, inferential, parametrics and non-parametrics.
Probability and probability distributions. Measures of statistical dispersion: variance, standard deviation and intervals of variation.
Classes and types of statistical variables: mean, median, mode and multimodal distributions.
Graphical representations of data.
Statistic significance: basic notions about statistical tests and errors.