Course syllabus

Sannolikhetsteori och diskret matematik
Probability Theory and Discrete Mathematics

FMSF40, 7,5 credits, G2 (First Cycle)

Valid for: 2023/24
Faculty: Faculty of Engineering, LTH
Decided by: PLED I
Date of Decision: 2023-04-14

General Information

Compulsory for: IDA2, IEA2
Language of instruction: The course will be given in Swedish

Aim

The course has two main aims:

1) to present the basics of discrete mathematics, with particular emphasis on concepts which are important in computer science

2) to give a general introduction to probability theory.

Learning outcomes

Knowledge and understanding
For a passing grade the student must

Competences and skills
For a passing grade the student must

Contents

Sets. Logic. Proof techniques. Combinatorics. Recursion. Relations. Functions.

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: FMSF32, FMSF20, FMSF30, FMSF35, FMSF45, FMSF50, FMSF55, FMSF70, FMSF75, FMA661, FMAA25, FMSF80

Reading list

Contact and other information

Director of studies: Johan Lindström, studierektor@matstat.lu.se
Course administrator: Susann Nordqvist, expedition@matstat.lu.se
Course homepage: https://maths.lu.se/utbildning/hoegskoleingenjoersutbildning/