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structure

General points

St Andrews has a modular degree structure organised over a two semester year. A standard first year programme offers the opportunity to take up to three different subjects and keep open a wide range of degree combinations.  Therefore, there is a lot of choice for those that are undecided about the kind of degree they wish to pursue.  Most entrant students will  be encouraged to take at least two subjects in order to keep open more than one route to a degree.

Mathematics and Statistics offers a "fast track" for its MMath programme which enables the well-qualified entrant to progress through the module system at a slightly greater pace whilst maintaining some flexibility in first year.

One of the big advantages of being a student at St Andrews is the flexibility of the structure so that if your interests (or aspirations) change over the next year, or so, you are not locked into a programme that may not be to your taste.


Core modules

Like school level mathematics, the degree programmes in Mathematics and Statistics are build around a core of basic material.  In first year all students take (at some stage) module MT1002 (Mathematics), which not only provides a good grounding in many key areas but for many will provide a chance to refresh familiar material (eg complex numbers, matrices, vectors, differential equations, etc).  For the well qualified (who take this module in semester 1) this should not be a challenging course and gives students chance to acclimatise to the way we work.  The core level 2 module is MT2001 (Mathematics) which is more challenging and includes calculus in several variables, linear algebra and Fourier series.  At level 3 the core modules are Complex Analysis, Differential Equations, and Linear Mathematics.  In addition, all students are required to complete a final year dissertation and take one computational module.  Other than these requirements, students can choose from options from the three main areas of mathematical science: Applied, Pure or Statistics.


Specialist options

In the early years of your degree course you can sample the various areas of mathematical science on offer and choose to specialise in one if you so wish.  Alternatively, you might prefer to take a mix from across the range.  The choice is entirely yours and you will be guided through the modular system (and the requirements) by an Adviser of Studies.  At this stage of your career you do not need to concern yourself with the details as all entrant students to mathematics or statistics will have access to everything we offer.  As a guide to the kind of specialist topics on offer in years 3 and 4 here are a sample (where some are for MMath students only):

PURE
APPLIED
STATISTICS
Fractal Geometry
Asymptotic Analysis
Bayesian Inference
Graph Theory
Classical mechanics
Forecasting
Group Theory
Dynamical Systems
Modelling Ecological Dynamics
History of Mathematics
Financial Mathematics
Population Genetics
Lie Algebra
Fluid Mechanics
Stochastic & Spatial Processes
Real Analysis
Linear & Non-linear Waves
Estimating Animal Abundance
Rings & Fields
Solar Theory
Semigroups
Symbolic Computation