Università di Pavia - Offerta formativa
Language: it en
ELEMENTARY MATHEMATICS AND STATISTICS
Stampa
Enrollment year
2014/2015
Academic year
2014/2015
Regulations
DM270
Academic discipline
MAT/07 (MATHEMATICAL PHYSICS)
Department
DEPARTMENT OF EARTH AND ENVIRONMENTAL SCIENCES
Course
NATURAL SCIENCES AND TECHNOLOGIES
Curriculum
PERCORSO COMUNE
Year of study
1°
Period
1st semester (01/10/2014 - 16/01/2015)
ECTS
9
Lesson hours
72 lesson hours
Language
ITALIAN
Activity type
ORAL TEST
Teacher
VITALI ENRICO (titolare) - 6 ECTS
RIGO PIETRO - 3 ECTS
Prerequisites
No specific requirements, other than the basic mathematical notions provided by the ordinary school, are requested.
Learning outcomes
The course aims to introduce some fundamental notions of mathematics and statistics.
Course contents
Basic notions on sets and numerical sets. Algebric calculus.

Elementary equations and inequalities. Basic notions on analytic geometry.

The concept of function. Some elementary functions (powers, exponentials, logarithms and
trigonometrics). Applications (power laws in biology; logarithmic scales; periodic phenomena).

The concept of limit for sequences and functions. The concept of derivative. Fundamental derivatives and derivation rules. Definite and indefinite integrals. Elementary hints on differential equations and models of population growth (Malthusian and logistics).

Basic principles of counting. Permutations and combinations. Sample spaces. Probability measures. Conditional probability measures. Independent events. Bayes theorem. Random variables and their classifications. Distribution functions and density functions. Joint distributions. Moments: expected value, variance, covariance, and correlation coefficient. Some meaningful probability models: binomial, ipergeometric, normal, exponential.

Some hints on (classical) statistical inference: Statistical models, likelihood function, point estimation (maximum likelihood estimates and unbiased estimates with small variance), confidence intervals.
Teaching methods
Classroom lessons and exercises
Reccomended or required readings
Vinicio Villani- Graziano Gentili, MATEMATICA: Comprendere e interpretare fenomeni delle scienze della vita. McGraw-Hill.

Or else:

Vinicio Villani- Graziano Gentili, MATEMATICA PER DISCIPLINE BIOMEDICHE. McGraw-Hill
Assessment methods
Written examination and an optional oral test
Further information
See:
http://www-dimat.unipv.it/vitali
Sustainable development goals - Agenda 2030

$lbl_legenda_sviluppo_sostenibile