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Mathematical Sciences MSc/PGDip/PGCert

Mathematical Sciences MSc/PGDip/PGCert

Different course options

Full time | University of Liverpool | 1 year | SEP

Study mode

Full time


1 year

Start date


Key information

Qualification type

MSc - Master of Science

Subject areas

Mathematics (General)

Course type


Course Summary


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.

Career prospects

Graduates of the MSc and PhD programmes move on to many different careers. Recent graduates have moved into fast track teacher programmes, jobs in finance (actuarial, banking, insurance), software development, drugs testing and defence work, as well as University postdoctoral or lecturing posts. The MSc programme is of course a natural route into doctoral study in Mathematics and related fields, both at Liverpool and elsewhere. Some of our PhD students move on to postdoctoral positions and to academic teaching jobs and jobs in research institutes, both in the UK and elsewhere.

Students can also exit with Pgdip/PgCert awards.


The aim of the main dissertation is for the student, under guidance from his or her supervisor, to research a substantial mathematical topic thoroughly and write his or her own clear and coherent account of it. (There is no formal limit but a rough guide is that successful dissertations are usually 50-60 pages long). The account may contain original material in the form of new examples or computations, full details of proofs only available in sketch form in the literature, or even new results or new proofs of known results. There is no requirement to produce publishable original work, but the level of detail and depth of the material should be greater than in the preliminary dissertation. Indeed, it is common (although not necessary) for students to continue their preliminary dissertation work in the main dissertation, and to work with the same supervisor. It is acceptable to summarise material from the preliminary dissertation in the main one, where this makes it more complete or coherent, provided that this material is clearly labelled as such. Of course, the mark for the main dissertation will be based only on the new material.

Tuition fees

UK fees
Course fees for UK students

For this course (per year)


Average for all Postgrad courses (per year)


International fees
Course fees for non-UK/ international students

For this course (per year)


Average for all Postgrad courses (per year)


Entry requirements

Applications are welcome from students who have (or expect to obtain) an Honours degree in Mathematics. The usual minimum requirement for entry is a 2:1 degree classification, but we consider all applications on their individual merits, taking the transcript, references and personal statement into account. Applicants who have degrees with Mathematics as a major component (e.g. physics or engineering) are also welcome to apply. In this case we may look for higher marks to offset the lower number of credits earned for mathematics modules.

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