Applied Mathematics

This course, commonly referred to as Part III, is a one-year taught Master's course in mathematics.  It is an excellent preparation for mathematical research and it is also a valuable course in mathematics and in its applications for those who want further training before taking posts in industry, teaching, or research establishments.

Students admitted from outside Cambridge to Part III study towards the Master of Advanced Study (MASt).  Students continuing from the Cambridge Tripos for a fourth year, study towards the Master of Mathematics (MMath).  The requirements and course structure for Part III are the same for all students irrespective of whether they are studying for the MASt or MMath degree.

There are over 200 Part III (MASt and MMath) students each year; almost all are in their fourth or fifth year of university studies. There are normally about 80 courses, covering an extensive range of pure mathematics, probability, statistics and the mathematics of operational research, applied mathematics and theoretical physics. They are designed to cover those advanced parts of the subjects that are not normally covered in a first degree course, but which are an indispensable preliminary to independent study and research. Students have a wide choice of the combination of courses that they offer, though naturally they tend to select groups of cognate courses. Normally classes are provided as back-up to lecture courses.

Learning Outcomes

After completing Part III, students will be expected to have:

• Studied advanced material in the mathematical sciences to a level not normally covered in a first degree;
• Further developed the capacity for independent study of mathematics and problem solving at a higher level;
• Undertaken (in most cases) an extended essay normally chosen from a list covering a wide range of topics.

Students are also expected to have acquired general transferable skills relevant to mathematics as outlined in the Faculty Transferable Skills Statement.

Continuing

MASt students wishing to apply for the PhD must apply via the Graduate Admissions webpage for readmission by the relevant deadline.  Applicants will be considered on a case by case basis and offer of a place will usually include an academic condition based on their Part III result.

• Functional Analysis
• Category Theory
• Astrophysical Fluid Dynamics
• Topics in Statistical Theory
• General Relativity
• Local Fields
• Topics in Ergodic Theory
• Slow Viscous Flow
• Combinatorics
• Differential Geometry
• Planetary System Dynamics
• Inverse Problems in Imaging
• Modern Statistical Methods
• Biological Physics and Complex Fluids 
• Advanced Probability
• Algebraic Topology 
• Statistical Field Theory
• Structure and Evolution of Stars
• Hydrodynamic Stability
• Perturbation Methods
• Percolation and Random Walks on Graphs
• Quantum Computation
• Symmetries, Fields and Particles
• Topics in Additive Combinatorics
• Applied Statistics ++
• Cosmology 
• Algebraic Geometry
• Mixing Times of Markov Chains
• Quantum Field Theory 
• Analysis of Partial Differential Equations
• Lie Algebras and their Representations
• Statistics in Medical Practice (Biostatistics) +
• The Standard Model
• Elliptic Curves
• Galactic Astronomy and Dynamics 
• Stochastic Calculus and Applications
• Representation Theory
• Riemann Surfaces and Teichmueller Theory
• Advanced Cosmology
• Logic 
• Topics in Mathematics of Information
• Advanced Quantum Field Theory
• Geometric Group Theory
• Numerical Solution of Differential Equations
• Extrasolar Planets
• Topics in Set Theory 
• Quantum Fluids
• Black Holes
• Theoretical Physics of Soft Condensed Matter
• Bayesian Modelling and Computation
• Ramsey Theory
• Linear Systems
• Topics in Convex Optimisation 
• Convection and Magnetoconvection
• String Theory
• Algebras 
• Dynamics of Astrophysical Discs
• Environmental Fluid Dynamics 
• Distribution Theory and Applications 
• Schramm-Loewner Evolutions
• Applied Statistics ++
• Modular Forms and L-Functions 
• Elliptic Partial Differential Equations
• Binary Stars
• Fluid Dynamics of the Solid Earth
• Analysis of Survival Data (Biostatistics) +
• Riemannian Geometry
• Gaussian Processes
• Optical and Infrared Astronomical Telescopes and Instruments
• Boundary Value Problems for Linear PDEs
• Laboratory Demonstrations 
• Supersymmetry 
• Classical and Quantum Solitons

Requirements

• Magistr (Master's Degree) at Pass level. Diploma Specialista (completed post-1991) with a minimum overall grade of good or 4/5 Bachelor's from Moscow Institute of Physics and Technology and other prestigious institutions with an overall grade of 4/5 Bologna Bachelor's from other institutions with an overall grade of 5/5, Excellent
• Diploma Specialista (completed post-1991) with a minimum overall grade of Excellent or 5/5 Bachelor's from Moscow Institute of Physics and Technology and other prestigious institutions with an overall grade of 5/5
• IELTS (Academic) 7.0
• TOEFL Internet Score 100
• £50 application fee
• First Academic Reference
• Second Academic Reference
• Transcript
• Statement of Interests
• Personal Reference

Scholarships

• Global Education
• Gates Cambridge Scholarships