University of Liverpool

University of Liverpool

Mathematical Sciences

Research is structured around the following 9 clusters and 3 research centres: Algebraic geometry; applied probability, statistics and operational research; dynamical systems; financial and actuarial mathematics; mathematical biology; quantum field theory and applications; singularity theory and its applications; string theory; waves and continuum mechanics; research centre in mathematics and modelling (RCMM); centre for mathematical imaging techniques (CMIT); environmental radioactivity research centre (ERRC).

Entry requirements

A 2.1 Honours degree, or higher, or an equivalent qualification. Non-graduates with professional experience and or other prior qualifications may also be considered. Candidates should normally be expected to have a minimum of 3 years appropriate work experience. All candidates must meet our required level of English. All applicants must have reached a minimum required standard of English language, qualifications accepted include GCSE English; A-level English language; IELTS 6.5 (with a minimum of 5.5 in each component); TOEFL iBT 88 or above with minimum scores in components as follows: listening and writing 21, reading 22, speaking 23.

Course modules

Core modules: Maple-latex project; preliminary dissertation; main dissertation; optional modules: linear differential operators in mathematical physics; introduction to string theory; quantum field theory; mathematical biology; waves; mathematical modelling; introduction to modern particle theory; representation theory of finite groups; curves and singularities; elliptic curves; Galois theory; probability essentials for financial calculus; stochastic analysis and its applications; chaos and dynamical systems; Cartesian tensors and mathematical models of solids and viscous fluids; quantum mechanics; relativity; mathematical economics; population dynamics; number theory; group theory; combinatorics; differential geometry; analysis and number theory; applied stochastic models; linear statistical models; applied probability; mathematical risk theory; networks in theory and practice.

Sponsorship information

Some department funding may be available.


Qualification Study mode Fee Course duration
MSc Full-time £ 5,300 per Academic year (home fees) 1 years
MSc Full-time £ 13,300 per Academic year (overseas fees) 1 years
MSc Part-time £ 1,199 per Academic year (home fees) 2 years
PgCert Full-time £ 3,996 per Academic year (home fees) 4 months
PgCert Full-time £ 12,849 per Academic year (overseas fees) 4 months
PgDip Full-time £ 3,996 per Academic year (home fees) 8 months
PgDip Full-time £ 12,849 per Academic year (overseas fees) 8 months
PgCert Part-time £ 1,199 per Academic year (home fees) 8 months
PgDip Part-time £ 1,199 per Academic year (home fees) 16 months

Campus details

Campus name Town Postcode Region Main campus Campus Partner
City Centre Campus Liverpool L3 5PS North West

Key information

PG Recruitment
Telephone number: 
0151 794 5927