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Mathematical Sciences MSc

University of Liverpool
12-24 months
Full time/part time
Master's degree

About this program

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

Admission requirements

Entry requirements:

You will need a 2:1 Honours degree in Mathematics or with Mathematics as a major component.

English language qualifications

All applicants must have reached a minimum required standard of English language and are required to provide evidence of this. Qualifications accepted by the University can be found on our International webpages.

For more information about admission requirements, please contact the school.

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Program content

Compulsory modules:

  • Latex and Mathematical Programming Project
  • Preliminary Dissertation
  • Main Dissertation

Optional modules include:

  • Manifolds, Homology and Morse Theory
  • Linear Differential Operators in Mathematical Physics
  • Quantum Field Theory
  • Variational Calculus and Its Applications
  • Higher Arithmetic
  • Representation Theory of Finite Groups
  • Singularity Theory of Differentiable Mappings
  • Introduction to String Theory
  • Advanced Topics in Mathematical Biology
  • Waves, Mathematical Modelling
  • Introduction to Modern Particle Theory
  • Asymptotic Methods for Differential Equations
  • Elliptic Curves
  • Riemann Surfaces
  • Geometry of Continued Fractions
  • Stochastic Analysis and Its Applications
  • Algebraic Geometry
  • Chaos and Dynamical Systems
  • Further Methods of Applied Mathematics
  • Cartesian Tensors and Mathematical Models of Solids and VIscous Fluids
  • Quantum Mechanics
  • Relativity
  • Group Theory
  • Combinatorics
  • Applied Probability
  • Linear Statistical Models
  • Measure Theory and Probability
  • Networks in Theory and Practice
  • Statistical Physics
  • Game Theory
  • Population Dynamics
  • Number Theory
  • The Magic of Complex Numbers: Complex Dynamics, Chaos and the Mandelbrot Set
  • Topology
  • Differential Geometry
  • Applied Stochastic Models
  • Theory of Statistical Inference
  • Medical Statistics
  • Stochastic Theory and Methods in Data Science


  • Home (UK) Postgraduates: £9,250 per academic year
  • International/EU Postgraduates: £18,500 per academic year

Career paths

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.

About this institute

University of Liverpool

The University of Liverpool offers you the opportunity to join a diverse community of over 22,000 students following hundreds of programmes. The University of Liverpool is one of the UK's leading universities. We are renowned for our teaching and research...

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Contact info

University of Liverpool

14 Oxford St
L69 3BX Liverpool
United Kingdom


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