Stochastic Modelling

5 credits

Syllabus, Bachelor's level, 1MS007

This course has been discontinued.

A revised version of the syllabus is available.

Code: 1MS007
Education cycle: First cycle
Main field(s) of study and in-depth level: Mathematics G1F, Sociotechnical Systems G1F
Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
Finalised by: The Faculty Board of Science and Technology, 15 March 2007
Responsible department: Department of Mathematics

Entry requirements

Probability and Statistics

Learning outcomes

In order to pass the course (grade 3) the student should be able to

give an account of important concepts and definitions in the area of the course;

exemplify and interpret important concepts in specific cases;

use the theory, methods and techniques of the course to solve mathematical statistical problems;

express problems from relevant areas of applications in a form suitable for further mathematical statistical analysis, choose suitable models and solution techniques;

interpret and asses results obtained;

present mathematical statistical arguments to others.

Higher grades, 4 or 5, require a higher level of proficiency. The student should be able to treat and solve problems of greater complexity, i.e. problems requiring a combination of ideas and methods for their solution, and be able to give a more detailed account of the proofs of important theorems and by examples and counter-examples be able to motivate the scope of various results.

Requirements concerning the student's ability to present arguments and reasoning are greater.

Content

Stochastic processes, the Poisson process, life length models. Stochastic simulation. Markov chains in discrete and continuous time. Stationary and asymptotic distribution. Absorption probability, absorption time. Selected examples of applications of stochastic modelling, depending on study programme.

Instruction

Lectures and problem solving sessions.

Assessment

Written examination at the end of the course. Moreover, compulsory assignments may be given during the course.