MAT9004 Mathematical foundations for data science and AI

When you finish this unit, you should be able to:

1. 1

   Use trees and graphs to solve problems in computer science;

2. 2

   Apply counting principles in combinatorics;

3. 3

   Describe the principles of elementary probability theory, evaluate conditional probabilities and use Bayes' Theorem;

4. 4

   Demonstrate basic knowledge and skills of linear algebra, including the manipulation of matrices, solution of linear systems, and evaluate and apply determinants;

5. 5

   Explain fundamental concepts in calculus including basic differentiation and integration, and composite, inverse and parametric functions;

6. 6

   Perform key skills in the calculus of functions of several variables including the calculation of partial derivatives, find tangent planes and identify stationary points, root findings and convexity for optimisation.