1007952 - MATEMATICA E STATISTICA - INFORMATICA A - L
Module 1007953 - MATEMATICA E STATISTICA

The course intends to introduce the student to the basic concepts of the theory of functions of one real variable, with elements of analytical geometry. The student should be able to apply basic methods and concepts of probability and statistics to data analysis.

The course will take place through lectures with exercises.

If the teaching is given in a mixed or remote way, the necessary variations with respect to what is stated above may be introduced, in order to comply with the program envisaged and reported in the syllabus.

Information for students with disabilities and / or SLD:

To guarantee equal opportunities and in compliance with the laws in force, interested students can ask for a personal interview in order to plan any compensatory and / or dispensatory measures, based on the didactic objectives and specific needs. It is also possible to contact the referent teacher CInAP (Center for Active and Participatory Integration - Services for Disabilities and / or SLD) of our Department, Prof. Teresa Musumeci.

Notions of elementary algebra and geometry are required.

Basic concepts of set theory (union, intersection, function, injective and surjective function, composite functions and invertible functions). Rational and real numbers. Numeric sets, extremes and intervals. Real functions of a real variable and their Cartesian representation. Equation of the line, parallelism, perpendicularity. Review of trigonometric functions, powers, exponentials, logarithms. Limit of a function, continuity, differentiability, differentiability and higher order regularity. Composite and inverse functions. Monotonicity and convexity. Determination of extremes.

Calculations relating to the concentrations of solutions. Use of logarithmic and bilogarithmic chart.

Fundamental concepts of statistics and probability theory. Distribution and density of probability, mean, variance and joint and conditional probability. Combinatorial calculus. Some more significant discrete and continuous distributions. Estimation of statistical parameters. Linear regression.

[D] Lecture notes

[MS] Marcellini, P., & Sbordone, C. (1985). Istituzioni di matematica e applicazioni. Liguori, ISBN: 9788820712242.  

[G] Garetto, M., Statistica, Lezioni ed esercizi. Freely available: https://www.dmi.unict.it/falsaperla/didattica/garetto_statistica.pdf

Written and oral exam.

Verification of learning can also be carried out electronically, should the conditions require it.

Information for students with disabilities and / or SLD:

To guarantee equal opportunities and in compliance with the laws in force, interested students can ask for a personal interview in order to plan any compensatory and / or dispensatory measures, based on the didactic objectives and specific needs.

It is also possible to contact the referent teacher CInAP (Center for Active and Participatory Integration - Services for Disabilities and / or SLD) of our Department, Prof. Teresa Musumeci.

Determination of the domain, symmetries and periodicity of functions. Determination of the asymptotes (horizontal, vertical or oblique) of a function. Calculation of derivatives, maximum and minimum, concavity and convexity of a function. Determination of simple statistical parameters (mean, median, mode, variance). Calculation of discrete probabilities.