Course syllabus

# Grundläggande sannolikhetsteori

Basic Probability Theory

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

## General Information

## Aim

## Learning outcomes

## Contents

## Examination details

## Admission

## Reading list

## Contact and other information

Basic Probability Theory

Valid for: 2019/20

Decided by: PLED I

Date of Decision: 2019-04-01

Compulsory for: IEA3

Language of instruction: The course will be given in Swedish

to give a general introduction to probability theory

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.

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.

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.

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

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

Director of studies: Johan Lindström, studierektor@matstat.lu.se

Course homepage: http://www.lth.se/matematik_lth_helsingborg