Advanced Mathematics
Explore specialist methods, advanced theory, research workflows and technical applications in mathematics for postgraduate and research-level learning.
Study Mathematics at postgraduate level.
Choose a focused course or combine several courses into a broader learning route. Each course is designed to build understanding progressively.
Real Analysis
Develop rigorous foundations in limits, continuity, differentiation, integration and convergence.
Optimisation
Study unconstrained and constrained optimisation with applications across statistics, machine learning and operations research.
Probability Theory
Build a rigorous understanding of random variables, convergence, expectation and foundational probability theory.
What should you build at this stage?
Your postgraduate route should develop both subject knowledge and the ability to use it independently.
Develop deeper technical understanding of specialist mathematics methods and their assumptions.
Understand when techniques are appropriate, what their limitations are and how alternative approaches compare.
Build research-quality computational and analytical workflows that can be understood, checked and reproduced.
Move from textbook exercises towards independent research questions, projects, dissertations and real datasets.
The Mathematics landscape.
Use these topics to understand the breadth of the discipline and identify where you may want to specialise next.
Need help with postgraduate mathematics?
Get expert support for difficult concepts, exam preparation, coursework guidance, coding, projects and research-related learning.