Acquisition of theoretical and operational capabilities in the field of differential and integral calculus
Acquisition of rudiments of Probability and Statistics
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.
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.
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.
Indications will be given during the lectures.