## CM50341: Mathematics for artificial intelligence

[Page last updated: 04 August 2021]

Owning Department/School: Department of Computer Science
Credits: 6 [equivalent to 12 CATS credits]
Notional Study Hours: 120
Level: Masters UG & PG (FHEQ level 7)
Period:
Semester 1
Assessment Summary: CW 100%
Assessment Detail:
• Exercise Sheets (CW 50%)
• In-Class Test (CW 50%)
Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
Requisites:
Aims: Students should gain an understanding of the basic topics of higher mathematics used in Artificial Intelligence research. Students will recognise when this theory can be applied in practice.

Learning Outcomes: On completion of this unit, the student should be able to:
1. perform elementary mathematical operations in probability and statistics,
2. translate real-world problems into a probabilistic or statistical framework
3. solve statistical problems in abstract form,
4. critically interpret mathematical outcomes in a real-world context,
5. relate underlying theory to requirements in practical data science.

Skills: Problem solving (T, F, A),
Computing (T, F, A),
Written communication (F, A)

Content: Example topics covered include: Mathematical notation, propositional logic, predicate logic, Set Theory, Calculus, Linear Algebra (e.g. Vector Spaces, matrix multiplication, matrix inversion (2x2), change of basis, eigenvectors, eigenvalues), Representation of Numbers (e.g. Number bases and binary arithmetic + fixed/floating point. Mathematics in research-level AI), Probability Spaces, Bayes Theorem, Random Variables, Mass and Density Functions, Distributions, Multiple Random Variables, Hypothesis Testing.

Programme availability:

#### CM50341 is Optional on the following programmes:

Department of Computer Science
• RSCM-AFM51 : Integrated PhD Accountable, Responsible and Transparent Artificial Intelligence

 Notes: This unit catalogue is applicable for the 2021/22 academic year only. Students continuing their studies into 2022/23 and beyond should not assume that this unit will be available in future years in the format displayed here for 2021/22. Programmes and units are subject to change in accordance with normal University procedures. Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules. Find out more about these and other important University terms and conditions here.