Mathematical Sciences MSc/PGDip/PGCert

  • Programme duration: Full-time: 12 months   Part-time: 24 months
  • Programme start: September 2023
  • Entry requirements: You will need a 2:1 Honours degree in Mathematics or with Mathematics as a major component.
Mathematical Sciences msc


You can study this Mathematical Sciences MSc programme full-time or part-time. It offers students the opportunity to specialise in a broad range of areas across pure and applied mathematics and theoretical physics. The topics we cover include:

The topics we cover include:

  • advanced mathematical methods
  • algebraic geometry
  • dynamical systems
  • fundamental particle physics
  • mathematical biology
  • singularity theory
  • solid mechanics
  • stochastic analysis
  • string theory
  • wave propagation and scattering

By completing the first semester you qualify for the PG certificate. By completing the second, you qualify for the PG Diploma. Then, by completing your dissertation, you qualify for the MSc.


A range of awards, scholarships and bursaries are available; see the Fees page for more information.

Why Department of Mathematical Sciences?

Range and depth of study options

We offer a very wide range of optional modules, allowing students to specialise in pure mathematics, applied mathematics or theoretical physics. This allows you to build up the required background for the project and dissertation modules, which offer the opportunity to undertake an in-depth study of a topic of your choice, supervised by a leading expert in the field.

Exceptional employability

At Liverpool, we listen to employers’ needs. Alongside key problem solving skills, employers require strong communication skills. These are integral to this programme, with project modules accounting for 105 of the 180 credits required for the MSc. Students develop presentation and independent research skills, and learn about computer programming and scientific writing, alongside the core mathematical content of the programme.

Teaching quality

We are proud of our record on teaching quality, with many of our MSc modules delivered by world-leading experts. Five members of the Department have received the prestigious Sir Alastair Pilkington Award for Teaching. Our staff use a range of teaching methods, including traditional ‘chalk and talk’ delivery, stream captured lectures using tablets, pencasts and online assessment and feedback. The Mathematics Centre for Enhancement in Education helps staff to develop innovative techniques for teaching mathematics, and a brand new Virtual Learning Environment is expected to go online in 2020.


We take students from a wide variety of educational backgrounds and we work hard to give everyone the opportunity to shine.

Supportive atmosphere

We provide high quality supervision, teaching and IT support. We care about each student and you will find the staff friendly and approachable. A common room and kitchen are available for the exclusive use of the Department’s students, and a lively maths society helps to foster a friendly and supportive environment.