Enrollment year
2017/2018
Academic discipline
MAT/05 ()
Department
DEPARTMENT OF DRUGS SCIENCES
Curriculum
PERCORSO COMUNE
Lesson hours
48 lesson hours
Activity type
WRITTEN TEST
Learning outcomes
The course provides tools of Mathematics and Statistics, with a special emphasis on applications in the bio-medical field.
Course contents
Mathematics: Percentages and concentrations. Equation of a straight 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. 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. Definition 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.
Teaching methods
Lectures and exercise sessions.
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). Students may take the oral exam only if they have passed the written exam.
"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). Students may take the oral exam only if they have passed the written exam.
"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”).
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