Enrollment year
2018/2019
Academic discipline
MAT/05 ()
Department
DEPARTMENT OF DRUGS SCIENCES
Curriculum
PERCORSO COMUNE
Lesson hours
48 lesson hours
Activity type
WRITTEN TEST
Learning outcomes
Knowledge of the basic notions and tools in Calculus and Statistics. Proficiency in using these tools to understand and study the graph of a function. Proficiency in applying these tools to the study of experimental phenomena and to the correct interpretation of data.
Course contents
Mathematics:
Number sets. Percentages and concentrations.
Real functions of real variable: graph, domain, range. Properties of functions: injective, surjective and bijective functions, even and odd functions, monotone functions. Relative and absolute maximizers and minimizers. Composition of functions. Inverse function. Operations on functions. Translations, dilations, reflections.
Elementary functions: linear functions, absolute value, power functions, exponential and logarithmic functions, trigonometric functions.
Notion of limit and its properties. Continuous functions. Definition of derivative. Tangent line. Derivatives of elementary functions. Derivation rules. Monotonicity criterion. Maximum and minimum problems. Convex functions. Study of the graph of a function. Models of population growth.
Primitives and elementary integral calculus.
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.
Teaching methods
Lectures and exercise sessions. Some lecture notes of the course will be provided on the KIRO webpage.
Reccomended or required readings
D. Benedetto, M. Degli Esposti, C. Maffei "Matematica per le scienze della vita", terza edizione, Casa Editrice Ambrosiana
V. Villani, G. Gentili "Matematica - Comprendere e interpretare fenomeni delle scienze della vita", quinta edizione, 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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