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.
Reccomended or required readings
Benedetto, Degli Espositi, Maffei. Matematica per le scienze della vita. (terza edizione) Casa Editrice Ambrosiana