CALCULUS AND TOPICS IN STATISTICS
Stampa
Enrollment year
2018/2019
Academic year
2018/2019
Regulations
DM270
Academic discipline
MAT/05 (MATHEMATICAL ANALYSIS)
Department
DEPARTMENT OF DRUGS SCIENCES
Course
MEDICINAL CHEMISTRY AND PHARMACEUTICAL TECHNOLOGY
Curriculum
PERCORSO COMUNE
Year of study
Period
1st semester (01/10/2018 - 31/01/2019)
ECTS
6
Lesson hours
48 lesson hours
Language
Italian
Activity type
WRITTEN TEST
Teacher
GUGLIELMANN RAFFAELLA (titolare) - 3 ECTS
PAVARINO LUCA FRANCO - 3 ECTS
Prerequisites
Basic mathematical concepts and curiosity in mathematcal applications to life sciences.
Learning outcomes
The course aim at giving basic notions of mathematical analysis, geometry, probability and statistics
Course contents
Calculus: sets, combinatorics, equation of a line, functions of a real variable, graph of a function, injective function, bijective functions, operations with functions, composition of functions, inverse function, elementary functions (polynomial, exponential, logarithm, sin and cos, absolute value), model of growth (exponential growth), logarithmic scales, monotone functions, maxima and minima of a function, limit and continuity, evaluations of basic limits, derivative of a function and tangent to a curve, derivative rules, integrals, fundamental theorem of calculus and evaluation of basic integrals.
Statistics: events, definition of probability, frequency, conditional probability, cumulative distribution functions, survival functions, random variable (discrete and continuous), mean, variance, binomial distribution, gaussian distribution, properties of gaussian distributions, point estimation, test for gaussian mean.
Teaching methods
lectures
Reccomended or required readings
Benedetto, Degli Espositi, Maffei. Matematica per le scienze della vita. (terza edizione) Casa Editrice Ambrosiana
Assessment methods
Written examination
Further information
Sustainable development goals - Agenda 2030