Course syllabus

Grundläggande sannolikhetsteori
Basic Probability Theory

FMSF35, 4 credits, G2 (First Cycle)

Valid for: 2020/21
Decided by: PLED I
Date of Decision: 2020-04-03

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

Assumed 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: FMSF20, FMSF30, FMSF40, FMSF45, FMSF50, FMSF55, FMSF70, FMSF75, FMAF20, MASB02, MASB03, FMAA25, MASA01

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