corso|33592

General objectives: to acquire basic knowledge in probability theory. Specific objectives: Knowledge and understanding: at the end of the course the student will have acquired the basic notions and results related to probability theory on finite and countable spaces, to the concept of random discrete vectors and to the concept of continuous random variable. Applying knowledge and understanding: at the end of the course the student will be able to solve simple problems in discrete probability, problems concerning discrete random vectors and random numbers represented by continuous random variables. The student will also be able to understand the meaning and implications of independence and conditioning (in the context of discrete models), to understand the meaning of some fundamental limit theorems, such as the law of large numbers. Critical and judgmental skills: the student will have the bases to analyze the analogies and the relationships between the topics of the course with topics of mathematical analysis and combinatorics (acquired in the “Analisi I” course and treated in the course of “Fondamenti di Analisi Reale”). Communication skills: ability to expose the contents of the course in the oral part of the test and in any theoretical questions present in the written test. Learning skills: the acquired knowledge will allow a study, individual or given in a course related to more specialized aspects of probability theory.