Course Syllabus for

Mathematical Foundations of Probability
Sannolikhetsteorins matematiska grunder

MATM30F, 7.5 credits

Valid from: Autumn 2018
Decided by: Professor Thomas Johansson
Date of establishment: 2018-11-15

General Information

Division: Mathematics
Course type: Course given jointly for second and third cycle
The course is also given at second-cycle level with course code: MATM30
Teaching language: English


The aim of the course is to give mathematical knowledge that facilitates successful studies in probability, stochastic processes and stochastic differential equations. These subjects are becoming more and more important in many applications, such as meteorology, finance and social planning.


Knowledge and Understanding

For a passing grade the doctoral student must

Competences and Skills

For a passing grade the doctoral student must

Course Contents

The course deepens and extends basic knowledge in probability theory. A central part of the course is existence and uniqueness theorems about measures defined on sigma-algebras, integration theory, conditional expectation and weak convergence in metric spaces.

Course Literature

Probability. Springer Science & Business Media, 1996. ISBN 9780387945491.

Instruction Details

Types of instruction: Lectures, exercises

Examination Details

Examination format: Oral exam
Grading scale: Failed, pass

Admission Details

Assumed prior knowledge: Linear algebra, calculus in one and several variables, and basic courses in Fourier analysis and mathematical statistics.

Course Occasion Information

Contact and Other Information

Course coordinators:
Web page:

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