Course syllabus

# Grundläggande sannolikhetsteori Basic Probability Theory

## FMSF35, 4 credits, G2 (First Cycle)

Valid for: 2019/20
Decided by: PLED I
Date of Decision: 2019-04-01

## General Information

Compulsory for: IEA3
Language of instruction: The course will be given in Swedish

## Aim

to give a general introduction to probability theory

## Learning outcomes

Knowledge and understanding
For a passing grade the student must

• in practical situations be able to identify and do computations on different combinatorial ways of selection
• have a good understanding of the basic concepts in probability theory: independent events, probability, discrete and continuous distributions, expectation and variance
• have knowledge about how to compute, from a specific distribution, the probability of an event and the expectation and variance, and be able to show capability to carry out the computations essentially correctly.

Competences and skills
For a passing grade the student must

• be able to show good computational ability within the scope of the course
• in connection with problem solving be able to demonstrate an ability to integrate methods from different parts of the course
• be able to demonstrate an ability to explain a mathematical reasoning in a well-structured and logically clear way.

## Contents

The probability axioms. Conditional probability. Independent events. Stochastic variables. Expectation and variance. The normal distribution, the binomial distribution and other important distributions. Functions of stochastic variables.

## Examination details

Grading scale: TH - (U,3,4,5) - (Fail, Three, Four, Five)
Assessment: Written test comprising theory and problem solving.

The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.

## Admission

Required prior knowledge: Basic courses in single variable calculus and linear algebra.
The number of participants is limited to: No
The course overlaps following course/s: FMSF30, FMSF40, FMAF20, FMA091, FMA661, FMAA15, FMAF30

## Reading list

• Vännman, K: Matematisk statistik. Studentlitteratur, 2002, ISBN: 9789144016900.

## Contact and other information

Director of studies: Johan Lindström, studierektor@matstat.lu.se
Course homepage: http://www.lth.se/matematik_lth_helsingborg