#### Official course description, subject to change:

Basic info last published 15/03-24
##### Course info
Language:
English
ECTS points:
7.5
Course code:
BSFOPRO1KU
Participants max:
95
Offered to guest students:
yes
Offered to exchange students:
yes
Offered as a single subject:
yes
Price for EU/EEA citizens (Single Subject):
10625 DKK
##### Programme
Level:
Bachelor
Programme:
BSc in Data Science
##### Staff
Course manager
Associate Professor
Semester
Efterår 2024
Start
26 August 2024
End
24 January 2025
##### Abstract

The course gives an in-depth introduction to fundamental principles of probability theory.

##### Description

The scope of this course is twofold. First and foremost, the course gives an in-depth introduction to fundamental principles of probability theory. Secondly, via a careful discussion of probabilistic concepts and results the student will be introduced also to mathematical thinking and obtain a fluency in reading, deriving, and communicating mathematical results.

Topics include

• Probabilities.
• Random variables and their distributions
• Joint and marginal distributions.
• Expectation and variance.
• Transformations of random variables.
• Discrete and continuous distributions
• Statistical independence.
• Conditional probability and Bayes’ theorem.

##### Formal prerequisites

Students are expected to fulfill the admission requirements for the BSc in Data Science.

##### Intended learning outcomes

After the course, the student should be able to:

• Define basic concepts in probability.
• Identify relevant random variables to describe an experiment and relate to standard families of distributions.
• Compute probabilities and conditional probabilities from basic definitions and principles.
• Derive the expectation and variance of a random variable.
• Apply classical results from probability theory to reason about the distribution of a transformation of a random variable
• Formulate or derive a mathematical result and argue for its correctness using appropriate mathematical terminology.
##### Ordinary exam
Exam type:
A: Written exam on premises, External (7-point scale)
Exam variation:
A33: Written exam on premises on paper with restrictions