TILA1200 Probability 1 (5 cr)

Open the course unit brochure on Sisu
Study level:
Intermediate studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023

Description

Contents:

Probability, axioms of probability, concepts and basic properties, random variables, distributions and some measures of distributions.

Sheldon Ross: A first course in probability (5th edition) chapters 1.1-1.5, 2.1-2.5, 3.1-3.5, 4.1-4.9, 5.1-5.6, 6.1-6.5 and 7.1-7.5


Completion mode:

Independent Study and an Exam


Evaluation:

Exam will be passed if one gets at least half of the maximum points

Learning outcomes

After passing the exam the student is able to

  • solve simple theoretical and practical problems related to probabilities
  • apply stochastic models
  • derive and prove theoretical results concerning the basic concepts included in the course

Additional information

Luentokurssilla 30 h luentoja, 6 laskuharjoituskertaa. 

Huom! Kursseista TILA1200 Todennäköisyyslaskenta 1 sekä MATA2600 Todennäköisyysmatematiikka molempia ei voi sisällyttää opintokokonaisuuteen.

Description of prerequisites

Calculus 2 tai Johdatus matemaattiseen analyysiin 3 tai vastaavat taidot. Perusvalmiudet R-ohjelmiston käyttöön ovat hyödyksi.

Study materials

Sheldon Ross: A first course in probability (5th edition) chapters 1.1-1.5, 2.1-2.5, 3.1-3.5, 4.1-4.9, 5.1-5.6, 6.1-6.5 and 7.1-7.5

Completion methods

Method 1

Evaluation criteria:
Arviointiin vaikuttavat menestys kurssitentissä ja mahdollisesti aktiivisuus harjoitustehtävien tekemisessä.
Time of teaching:
Period 4
Select all marked parts

Method 2

Description:
The exams for foreign students are based on book S. Ross: A first course in probability (fifth edition or later). Please contact the examiner well before the exam by email.
Evaluation criteria:
Exam will be passed if one gets at least half of the maximum points
Select all marked parts
Parts of the completion methods
x

Teaching (5 cr)

Type:
Participation in teaching
Grading scale:
0-5
Evaluation criteria:
Arviointiin vaikuttavat menestys kurssitentissä ja mahdollisesti aktiivisuus harjoitustehtävien tekemisessä
Language:
Finnish
Study methods:

Luennot ja harjoitukset ja kurssitentti

Study materials:

Materiaali TIMissä

Teaching

x

Web Course (5 cr)

Type:
Independent study
Grading scale:
0-5
Evaluation criteria:
Exam will be passed if one gets at least half of the maximum points
Language:
English, Finnish
Study methods:
Independent Study and an Exam
Study materials:
Sheldon Ross: A first course in probability (5th edition) chapters 1.1-1.5, 2.1-2.5, 3.1-3.5, 4.1-4.9, 5.1-5.6, 6.1-6.5 and 7.1-7.5

Teaching