Study location	United Kingdom, Liverpool
Type	Bachelor courses, full-time
Nominal duration	4 years
Study language	English
Awards	MMath
Course code	G101

Tuition fee	To be confirmed

Entry qualification	High school / secondary education (or higher) good results in Mathematics The entry qualification documents are accepted in the following languages: English. Often you can get a suitable transcript from your school. If this is not the case, you will need official translations along with verified copies of the original.

Language requirements	English Accepted proof of proficiency: Cambridge English, IELTS, TOEFL or other equivalent IELTS: 6.0 (with a minimum of 5.5 in each band) TOEFL (IBT): Overall score of 88 or above, with at least 21 in Listening and Writing, 22 in Reading and 23 in Speaking CAE: 169 points overall with no component less than 162

Other requirements	At least 1 reference(s) must be provided. A motivation letter must be added to your application.

More information	Expenses, accommodation, working etc. liverpool.ac.uk/..thematics-mmath/overview

Overview

If you enjoyed studying Mathematics at school and would like to study the subject in more depth, you should consider G100 or G101. G100 provides an excellent foundation for a wide range of careers. Students who opt for the four-year MMath programme are well placed to embark on a PhD or to take a research post in industry after graduation.

In the first two years of these programmes, you will study a range of topics covering important areas of both Pure and Applied Mathematics – no assumptions are made about whether or not you have previously studied Mechanics or Statistics, or have previous experience of the use of computers.

Year One modules introduce fundamental ideas and also reinforce A level work. Subsequently, you can either specialise or continue to study abroad range of topics. For both of these programmes, you will take at least two modules of Pure Mathematics and two of Applied Mathematics in Year Two.

Programme structure

Programme Year One

You will take the modules:

(a) Calculus I
(b) Introduction to Linear Algebra
© Calculus II
(d) Numbers and Sets
(e) Dynamic Modelling
(f) Introduction to Statistics

You have the choice of:

(g) Mathematical IT Skills
or
(i) Introduction to Programming in Java

and

(h) Numbers, Groups and Codes
or
(j) Introduction to Databases

You will have to take (i) and (j) if you want to take Computer Science modules in your second year.
Tutorials for foundation modules (a and c) are in groups of about six students.

Programme Year Two

In the second and subsequent years of study, there is a wide range of modules. For the programme that you choose there may be no compulsory modules (although you may have to choose a few from a subset such as Pure Mathematics). If you make a different choice, you will find that one or more modules have to be taken. Each year you will choose the equivalent of eight modules. Please note that we regularly review our teaching so the choice of modules may change.

Ordinary differential equations
Group projects
Iteration and Fourier series
Complex functions
Linear algebra and geometry
Commutative algebra
Geometry of curves
Introduction to the methods of applied mathematics
Vector calculus with applications in fluid mechanics
Mathematical models: Microeconomics and Population Dynamics
Classical mechanics
Numerical analysis, solution of linear equations
Introduction to methods of operational research
Introduction to financial mathematics
Statistical theory and methods 1
Statistical theory and methods 2
Operational research: probabilistic models

Programme Year Three

History of mathematics
Number theory
Group theory
Combinatorics
Differential geometry
Riemann surfaces
Chaos and dynamical systems
Further methods of applied mathematics
Cartesian tensors and mathematical models of solids and viscous fluids
Quantum mechanics
Relativity
Mathematical Economics
Population Dynamics
Theory of statistical inference
Linear statistical models
Networks in theory and practice
Applied probability
Mathematical physics project
Mathematic Risk Theory
Medical statistics
Projects in pure and applied mathematics, statistics and theoretical physics

Programme Year Four

There is a large set of modules available, some of which are taught in alternate years. MMath/MPhys students will take at least seven of these during Years Three and Four. There is also a compulsory project.

Career opportunities

From actuary to airline pilot, from marketing to medical statistics, a mathematically-based degree opens up a wide range of career opportunities, including some of the most lucrative professions. Typical types of work our graduates have gone onto include: actuarial trainee analyst in the audit practice graduate management trainee risk analyst trainee chartered accountant graduate business programme.