Numerical Linear Algebra & Optimisation (MATH3204)
Information valid for Semester 2, 2024
Course level
Undergraduate
Faculty
School
Mathematics & Physics School
Units
2
Duration
One Semester
Attendance mode
In Person
Class hours
Lecture 3 Hours/ Week
Tutorial 2 Hours/ Week
Incompatible
MATH7234 (co-taught).
Prerequisite
MATH2000 or MATH2001 or MATH2901 or MATH7000 or MATH7502
Recommended prerequisite
COSC2500 or COSC7500
Assessment methods
Assignments, Final Examination
Course enquiries
Professor Fred Roosta (Semester 2, Regular, St Lucia, In person)
Dr Fred Roosta
Current course offerings
Course offerings | Location | Mode | Course Profile |
Semester 2, 2025 (28/07/2025 - 22/11/2025) | St Lucia | In Person | Profile unavailable |
Please Note: Course profiles marked as not available may still be in development.
Course description
At the heart of most modern data scientific methods in general, and machine learning in particular, lie computational techniques involving matrices as well as numerical linear algebra and optimisation algorithms. In this course, students will learn about the theory and practical aspects of many fundamental tools from matrix computations, numerical linear algebra and optimisation. In addition to classical applications, most examples will particularly focus on modern large-scale machine learning problems. Implementations will be done using MATLAB/Python. The students will also be exposed to cutting-edge developments including randomised variants of many classical deterministic methods. Students will be taught a range of analytical and algorithmic tools that are employed in research and industry, such as various matrix types, their properties and factorisations, iterative algorithms for matrix computations such as Krylov subspace methods, various eigen-solvers, elements of convex and non-convex analysis, derivative free as well as first and second-order optimisation methods, constrained and unconstrained optimisation algorithms, and introduction to non-smooth and stochastic optimisation.
Archived offerings
Course offerings | Location | Mode | Course Profile |
Semester 2, 2024 (22/07/2024 - 18/11/2024) | St Lucia | In Person | Course Profile |
Semester 2, 2023 (24/07/2023 - 18/11/2023) | St Lucia | In Person | Course Profile |
Semester 2, 2022 (25/07/2022 - 19/11/2022) | External | External | Course Profile |
Semester 2, 2022 (25/07/2022 - 19/11/2022) | St Lucia | Internal | Course Profile |
Semester 2, 2021 (26/07/2021 - 20/11/2021) | External | External | Course Profile |
Semester 2, 2021 (26/07/2021 - 20/11/2021) | St Lucia | Internal | Course Profile |
Semester 2, 2020 (03/08/2020 - 21/11/2020) | St Lucia | Flexible Delivery | Course Profile |
Semester 2, 2020 (03/08/2020 - 21/11/2020) | External | External | Course Profile |
Semester 2, 2019 (22/07/2019 - 16/11/2019) | St Lucia | Internal | Course Profile |