CALCULUS AND TOPICS IN STATISTICS (SURNAMES A-H)
Stampa
Enrollment year
2015/2016
Academic year
2015/2016
Regulations
DM270
Academic discipline
MAT/05 ()
Department
DEPARTMENT OF DRUGS SCIENCES
Course
PHARMACY
Curriculum
PERCORSO COMUNE
Year of study
Period
ECTS
6
Lesson hours
48 lesson hours
Language
ITALIAN
Activity type
WRITTEN TEST
Teacher
Prerequisites
=
Learning outcomes
The course provides tools of Mathematics and Statistics, with an emphasis on applications in the bio-medical field.
Course contents
Mathematics: Percentages and concentrations. Equation of a line. Real functions of real variable: graph, domain, range.
Injective, surjective and bijective functions. Operations with functions. Composition of functions. Inverse function.
Elementary functions, polynomial and rational functions. Absolute value. Exponential and logarithmic functions.
Trigonometric functions. Growth and decay models. Logarithmic and semilogarithmic scales. Translations, dilations,
reflections. Monotone functions. Relative and absolute maximizers and minimizers. Notion of limit and its properties.
Continuous functions. Weierstrass Theorem. Notion of derivative. Tangent line. Derivatives of elementary functions.
Derivation rules. Monotonicity criterion. Maximum and minimum problems. Convex functions. L'Hôpital rule.
Statistics: Mean value, geometric mean, median, and mode for a frequency distribution. Frequency histogram and
frequency polygon. Cumulative frequency graph. Data dispersion: variance and standard deviation of a frequency
distribution. Quartiles, interquartile range. Statistical distributions with emphasis on the normal distribution. Fundamental
properties of the gaussian distribution. Central limit theorem and confidence intervals. Statistical hypothesis testing: one
and two-tailed tests.
Teaching methods
About 30 hours of tutoring: a tutor will propose and solve exercises, in preparation to the written exam.
Reccomended or required readings
V. Villani, G. Gentili “Matematica 5/ed - Comprendere e interpretare fenomeni delle scienze della vita” (ed. McGraw-Hill)
Assessment methods
In itinere tests: none
Written exam (compulsory) and oral exam (optional)
"Matematica con Elementi di Statistica" (6 CFU) is part of the course "Scienze Matematiche e Fisiche" (12 CFU). Students will acquire the credits only after passing the exams of both courses (“Fisica” and "Matematica con Elementi di Statistica”).
Further information
In itinere tests: none
Written exam (compulsory) and oral exam (optional)
"Matematica con Elementi di Statistica" (6 CFU) is part of the course "Scienze Matematiche e Fisiche" (12 CFU). Students will acquire the credits only after passing the exams of both courses (“Fisica” and "Matematica con Elementi di Statistica”).
Sustainable development goals - Agenda 2030