BASIC MATHEMATICS FOR BIOMEDICAL SCIENCES
Learning outcomes of the course unit
The course has as its objective the knowledge of statistical indices and the ability to understand the output information from a table of data. At the end of the course the student is able to identify and study the Bernoulli and Gauss distributions.
Operations on the set of real numbers. Working with logarithms and exponentials.
Course contents summary
Lectures on Statistics and Probability applied to the biomedical sciences.
The first lectures cover topics of general interest related to the foundations of Mathematics and Logic such as operations in numerical sets and predicate calculus.
The second part regards the discussion of the fundamental contents of Statistics: data collection, averages and dispersion indicators. The third part is devoted to combinatorics, probability calculus, Gauss and Bernoulli distributions.
Elementary theory of sets - Element of Logic - Numerical sets, operations and properties - Applications: proportions and percentages - Applications: Equivalences - Floating point representation of real numbers - Operations in scientific notation - Truncation and rounding approximations - Significant digits - Outline of functions - Real functions of real variable - Qualitative properties - Polynomial, exponential and logarithmic functions -
Elements of descriptive statistics: data collection, classification and graphical representation - Frequency distributions - Avarages, mode, median, square error,
variance, standard deviation, index of variation - Gauss distribution - Two characters distribution - Combinatorics - Events and discrete probability calculus - Elemets of probability theory -Bernoulli distribution.
M. Abate: “Matematica e Statistica, Le basi per le scienze della vita”, McGraw-Hill, (2009)
V. Villani: “Matematica per le discipline bio-mediche”, Quarta edizione, McGraw-Hill, (2007)
Lectures and exercise class
Assessment methods and criteria
• Written final examination
• Pass mark: 18/30; Maximum score: 33/30 ("cum laude")
• Since it is an integrated teaching together with Physics and Computer Science, the final score will be the arithmetic average of the three marks, which have to be anyway all equal to or greater than 18/30.