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Høst 2018

STA-2001 Stochastic Processes - 10 stp

The course is administrated by

Faculty of Science and Technology

Type of course

The course is mandatory in the study programs Mathematics and Statistics - Bachelor. It may also be taken independent of study program.

Course contents

This course builds on STA-1001 Probability and statistics. The course is a continuation of the probability theory presented in STA-1001 with an emphasis on construction, interpretation and analysis of probability models for simple processes or dynamic systems. Discusses conditional probability, conditional expectations, Markov chains, Poisson processes, branching processes, birth and death processes and other stochastic processes.

Application deadline

Applicants form Nordic countries: 1 June for the autumn semester and 1 Decemer for the spring semester. Exchange students and Fulbright students: 1 October for the spring semester and 15 April for the autumn semester.

Admission requirements

Applicants from Nordic countries: Generell studiekompetanse og følgende spesielle opptakskrav:
Matematikk R1 + R2 og i tillegg enten:

International applicants: Higher Education Entrance Qualification and certified language requirements in English. It is a requirement that students have  some prior knowledge of biology and ecology, chemistry and mathematics (Participants must have taken introductory level university courses, and achieved pass grades, in these subjects).

A list of the requirements for the Higher Education Entrance Qualification in Norway can be found on the Norwegian Agency for Quality Assurance in Education website -

Application code: 9336 (Nordic applicants).

Objective of the course

This course gives students an introduction to applied probability theory and stochastic processes, including use of conditioning as an important tool for probability computations.  Within stochastic processes, primary emphasis is placed upon the analysis of models with countable state space in discrete or continuous time.  Of special importance is that students have a command of different types of Markov processes, including Poisson processes and birth and death processes.

The student shall:

Language of instruction

The language of instruction and the syllabus is English. Examination questions will be given in English, but may be answered either in English or a Scandinavian language.

Teaching methods

Lectures: 40 h
Coursework: 30 h


Written final exam of 4 hours duration, counting 100 %.

Assessment scale: Letter grades A-F.

Postponed examination: Students with valid grounds for absence will be offered a postponed examination early in the following semester.

For further details see:
- Utfyllende bestemmelser for eksamener ved Fakultet for naturvitenskap og teknologi (only in Norwegian)
- Regulations for examinations at the University of Tromsø

Coursework requirements
A passing grade is required on the mandatory homework sets for permission to take the exam.

Date for examination

Written test 29.11.2018

The date for the exam can be changed. The final date will be announced at your faculty early in May and early in November.

Course overlap

S-210 Stocastic processes 10 stp

Recommended reading/syllabus

Syllabus for STA-2001 Stochastic Processes, autumn 2018

UiT The Arctic University of Norway, Department of Mathematics and Statistics

Tetbook: Sheldon M. Ross, "Introduction to Probability Models". Academic Press, 10 th. edition

Chapter 1 Introduction to Probability Theory
Chapter 2 Random Variables
Chapter 3. 1 - 3.6 Conditional Probability and Conditional Expectation
Chapter 4.1 - 4.9 Markov Chains
Chapter 5. 1 - 5.4 The Exponential Distribution an the Poisson Process
Chapter 6.1 - 6.6 Continuous-Time Markov Chains
Chapter 11.1 - 11.2, 11.5 Simulation

Lectures Autumn 2018
First attendance: Thu 16th Aug, 10:15, Teknologibygget 1.023 AUD
Lectures f.aman. Elinor Ytterstad