Academic year 2019/2020
D.M. 270 TAF B - Distinctive
Course disciplinary sector (SSD)
MAT/06 - probabilita' e statistica matematica
Type of examination
Written and oral
Good knowledge of Probability and Analysis
The course is aimed at giving the students the skills to use diffusion processes to represent different realities of practical interest. The student should use the different techniques for carrying out the analysis of the models. The student will demonstrate both the ability of self-study of advanced topics, connected to the content of the course, and the ability to collaborate. Students should also use the software Mathematica to perform some assigned simulations.
Results of learning outcomes
Knowledge and Understanding
Students will attain a knowledge of stochastic processes, in particular Brownian motion and diffusion processes.
Applying Knowledge and Understanding
Students will be able to study stochastic models of applied interest. They will know some of the important classes of stochastic processes and will be able to study their main functional and features.
Making Judgements and Learning Skills
Students will be able to apply theoretical or applied techiques to solve problems connected with the modeling of stochastic processes.
Students will be able to properly use English and to present their knowledge both in written form in the homeworks and in oral form in the final exam.
Lessons (48 hours, 6 CFU) are given in lecture rooms.
Learning assessment methods
During the course homeworks are assigned. Solution of these exercises is part of the final exam. Teamwork is allowed for this part of the work. Exam is oral. Students that do not make homeworks will solve exercises immediately before the oral exam.
For the exercises there is no pubblic mark, just an evaluation which can be: passed, not passed. Only students that got a passed mark in the exercises can give the oral exam. The final mark will be given by the oral exam.
The evaluation of homeworks is valid only for the Summer exam session. From September session students are required to solve exercises immediately before the oral exam.
Suggested readings and bibliography
Schilling, Partzch, "Brownian Motion", De Gruyter
Karlin, Taylor. "A first Course in Stochastic Processes", Academic Press.
Karlin, Taylor. "A second Course in Stochastic Processes", Academic Press.
Mörters, Peres. "Brownian Motion", Cambridge University Press.
Kannan. "An introduction to stochastic processes", North Holland.
Courses that borrow this teaching
Enrollment opening date
01/09/2018 at 00:00
Enrollment closing date
30/06/2019 at 00:00