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801195P Probability Theory, 5 ECTS cr 
Code 801195P  Validity 01.01.2011 -
Name Probability Theory  Abbreviation Probability The 
Scope5 ECTS cr   
TypeBasic Studies Discipline3250 Mathematics 
  Grading1 - 5, pass, fail 
Unit Field of Mathematics 

The course's general learning material:
Author Title Year Compulsory Availability
     Tuominen, P.  Todennäköisyyslaskenta, osa 1  1993  - Availability

ECTS Credits 

5 ECTS credits

Language of instruction 



2nd year, 2nd period.

Learning outcomes 

Upon completing the course the student will be able to:
- solve simple practical problems associated with probability
- solve simple theoretical problems associated with probability
- derive the basic properties of probability, starting from the axioms


The course is an introduction to probability. In the beginning high school level probability is reviewed and after that axiomatic treatment of the theory starts. The central concepts discussed include probability space, conditional probability, independence, and random variable together with its distribution and expected value.

Mode of delivery 

Face-to-face teaching

Learning activities and teaching methods 

28 h of lectures, 14 h of exercises, 91 h of independent study

Target group 

Mathematics majors and minors

Prerequisites and co-requisites 

Integral 800318A

Recommended optional programme components 


Recommended or required reading 

Text book: Pekka Tuominen: Todennäköisyyslaskenta I, Limes ry, Helsinki.

Assessment methods and criteria 

Mid-term exams and/or final exam. Active participation in the course.

Read more about assessment criteria at the University of Oulu webpage.


The course utilizes a numerical grading scale 1-5. In the numerical scale zero stands for a fail.

Person responsible 

Hanna Heikkinen

Working life cooperation 



Current and future instruction
Functions Name Type ECTS cr Teacher Schedule
registration period has ended Introduction to Probability Theory I  Course  Markus Myllyoja 
03.08.20 -31.08.20 -
registration period has not begun Introduction to Probability Theory I  Course  Hanna Heikkinen  27.10.20 -17.12.20

Future examinations
No examinations in WebOodi