SCIENZE DEL FARMACO E DELLA SALUTEApplied Pharmaceutical SciencesAcademic Year 2022/2023

1007952 - MATEMATICA E STATISTICA - INFORMATICA M - Z
Module 1007953 - MATEMATICA E STATISTICA

Teacher: PAOLO FALSAPERLA

Expected Learning Outcomes

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

Course Structure

The course will take place through lectures with exercises

Should the circumstances require online or blended teaching, appropriate modifications to what is hereby stated may be introduced, in order to achieve the main objectives of the course.

To students with disabilities:
Students with disabilities may ask for private meeting with the teacher to discuss about exams modality.
For further information contact the CInAP reference teacher of our Department, prof. Teresa Musumuci.

Attendance of Lessons


Attendance is mandatory as required by the regulations. 

Detailed Course Content

Basic concepts of set theory (union, intersection, function, injective and surjective function, composition of functions and invertible functions). Rational and real numbers. Numerical sets, extremes and intervals. Real functions of real variable and their Cartesian representation. Equation of the line, parallelism, perpendicularity. Recall of trigonometric functions, powers, exponentials, logarithms. Limit of a function, continuity, derivability, differentiability and regularity of a higher order. Composite and inverse functions. Crescence and convexity. Determination of extremes.
Computation of concentration eand dilution factors. Use of logarithmic graphs.
Fundamental concepts of statistics and probability theory. Distribution and density of probability, mean, variance and joint and conditional probability. Some significant discrete and continuous distributions. Estimate of statistical parameters. Linear regression.

Textbook Information

[T] Teacher's notes

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

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

Course Planning

 SubjectsText References
1[D]

Learning Assessment

Learning Assessment Procedures

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.

Examples of frequently asked questions and / or exercises

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.
Versione in italiano