Postgraduate Course

Graduate Diploma Mathematics

Graduate Diploma Mathematics

Overview

The details
Mathematics
October 2019
Full-time
9 months
Colchester Campus

Mathematics is the language that underpins the rest of science. Our Department of Mathematical Sciences has an international reputation in many areas like such as semi-group theory, optimisation, probability, applied statistics, bioinformatics and mathematical biology.

Graduate Diplomas last for six to nine months (full-time) and include the modules and assessed work of a Masters, without a dissertation. Our Graduate Diploma in Mathematics gives you training in basic mathematics techniques if your first degree contained only a modest amount of mathematics, so that you can proceed to a Masters in mathematics.

At Essex, Mathematics has truly broad reach; we are working on projects ranging from the economic impact of the behaviour of dairy cows, to understanding crowd behaviour through modelling a zombie apocalypse, to circular Sudoku and other puzzles. Our interdisciplinary research recognises that mathematics, including what can be very abstract mathematics, is an essential part of research in many other disciplines.

You therefore gain an exceptional range of knowledge and skills that are currently in demand in mathematically oriented employment; in business, commerce, industry, government service, education and in the wider economy.

Why we're great.
  • We are the 'ideas people' of the maths world - work with award-winning teachers and researchers.
  • Through our pioneering teaching approach we develop the mathematicians of the future.
  • We are ranked top 15 in the UK for mathematics (Guardian University Guide 2019).

Our expert staff

Our Department of Mathematical Sciences is a small but influential department, so our students and staff know each other personally. You never need an appointment to see your tutors and supervisors, just knock on our office doors – we are one of the few places to have an open-door policy, and no issue is too big or small.

Our staff have published several well-regarded text books and are world leaders in their individual specialisms, with their papers appearing in learned journals like Communications in Algebra, Studia Logica, International Journal of Algebra and Computation, SIAM Journal in Optimization, IEEE Evolutionary Computation, Computers and Operations Research, Ecology, Journal of Mathematical Biology, and Journal of Statistical Applications in Genetics and Molecular Biology.

Specialist facilities

  • Unique to Essex is our renowned Maths Support Centre, which offers help to students, staff and local businesses on a range of mathematical problems. Throughout term-time, we can chat through mathematical problems either on a one-to-one or small group basis
  • We have our own computer labs for the exclusive use of students in the Department of Mathematical Sciences – in addition to your core maths modules, you gain computing knowledge of software including Matlab and Maple
  • We host regular events and seminars throughout the year
  • Our students run a lively Mathematics Society, an active and social group where you can explore your interest in your subject with other students

Your future

Our graduates are highly sought after by a range of employers and find employment in financial services, scientific computation, decision making support and government, risk assessment, statistics, education and other sectors.

We also offer supervision for PhD, MPhil and MSc by Dissertation. We have an international reputation in many areas such as semi-group theory, optimisation, probability, applied statistics, bioinformatics and mathematical biology, and our staff are strongly committed to research and to the promotion of graduate activities.

We additionally work with our Employability and Careers Centre to help you find out about further work experience, internships, placements, and voluntary opportunities.

Entry requirements

UK entry requirements

A degree with an overall mid 2.2 in Mathematics, Applied Mathematics or Operational Research.

International & EU entry requirements

We accept a wide range of qualifications from applicants studying in the EU and other countries. Get in touch with any questions you may have about the qualifications we accept. Remember to tell us about the qualifications you have already completed or are currently taking.

Sorry, the entry requirements for the country that you have selected are not available here.Please select your country page where you'll find this information.

English language requirements

IELTS overall score of 6.0 with a minimum of 5.5 in all components

Structure

Example structure

Most of our courses combine compulsory and optional modules, giving you freedom to pursue your own interests. All of the modules listed below provide an example of what is on offer from the current academic year. Our Programme Specification provides further details of the course structure for the current academic year.

Our research-led teaching is continually evolving to address the latest challenges and breakthroughs in the field, therefore to ensure your course is as relevant and up-to-date as possible your core module structure may be subject to change.

Real Analysis

What are the principles underlying proofs of basic theorems concerning limits, continuity and differentiability? How do you use quantifiers in analysis? Gain an understanding into real analysis, examining sequences and functions. Study relevant theorems (like Rolle’s and the Mean Value) and learn to reproduce elementary epsilon-delta arguments.

View Real Analysis on our Module Directory

Linear Programming (Half Course)

Can you formulate an appropriate linear programming model? Are you able to solve a small linear programming problem using an appropriate version of the Simplex Algorithm? Can you use the MATLAB computer package to solve linear programming problems? Understand the methods of linear programming, including both theoretical and computational aspects.

View Linear Programming (Half Course) on our Module Directory

Complex Variables and Applications

How do you express numbers in both Cartesian and polar forms? Can you identify curves and regions in the complex plane defined by simple formulae? How do you evaluate residues at pole singularities? Study complex analysis, learning to apply the Residue Theorem to the calculation of real integrals.

View Complex Variables and Applications on our Module Directory

Vector Calculus

How do you define gradient, divergence and curl? What do you know about Green’s Theorem? And about Stoke’s? Study the classical theory of vector calculus. Develop the two central theorems by outlining the proofs, then examining various applications and examples. Understand how to apply the ideas you have studied.

View Vector Calculus on our Module Directory

Finance and Financial Reporting

What instruments are used by companies to raise finance and manage financial risk? What is the role of financial institutions operating in financial markets? What are the techniques of financial accounting? How do you use spreadsheets in financial analysis? Examine and develop the concepts and elements of corporate finance.

View Finance and Financial Reporting on our Module Directory

Combinatorial Optimisation

In this module you will not only learn what underpins the algorithms used where variables are integer, but also apply these algorithms to solve integer and mixed integer problems with cutting-plane algorithms.

View Combinatorial Optimisation on our Module Directory

Nonlinear Programming

How do you apply an algorithm or numerical method to a problem? What are the advantages? And the limitations? Understand the theory and application of nonlinear programming. Learn the principles of good modelling and know how to design algorithms and numerical methods. Critically assess issues regarding computational algorithms.

View Nonlinear Programming on our Module Directory

Mathematics Careers and Employability

What skills do you need to succeed during your studies? And what about after university? How will you realise your career goals? Develop your transferable skills and experiences to create your personal profile. Reflect on and plan your ongoing personal development, with guidance from your personal advisor within the department.

View Mathematics Careers and Employability on our Module Directory

Modelling Experimental Data

Can you calculate confidence intervals for parameters and prediction intervals for future observations? Represent a linear model in matrix form? Or adapt a model to fit growth curves? Learn to apply linear models to analyse data. Discuss underlying assumptions and standard approaches. Understand methods to design and analyse experiments.

View Modelling Experimental Data on our Module Directory

Linear Algebra

How do you prove simple properties of linear space from axioms? Can you check whether a set of vectors is a basis? How do you change a basis and recalculate the coordinates of vectors and the matrices of mapping? Study abstract linear algebra, learning to understand advanced abstract mathematical definitions.

View Linear Algebra on our Module Directory

Statistical Methods

This module will enable you to expand your knowledge on multiple statistical methods. You will learn the concepts of decision theory and how to apply them, have the chance to explore “Monte Carlo” simulation, and develop an understanding of Bayesian inference, and the basic concepts of a generalised linear model.

View Statistical Methods on our Module Directory

Financial Derivatives

Why are arbitrage arguments important in modern finance? How can a binomial model evaluate derivatives? What are the main models for interest rates? Understand the mathematical techniques underlying the modelling of derivative pricing. Acquire skills in the development of pricing and risk management. Explore stochastic methods and credit risk.

View Financial Derivatives on our Module Directory

Applied Statistics

How do you apply multivariate methods? Or demographical and epidemiological methods? And how do you apply sampling methods? Study three application areas of statistics – multivariate methods, demography and epidemiology, and sampling. Understand how to apply and assess these methods in a variety of situations.

View Applied Statistics on our Module Directory

Mathematics of Portfolios

How do you formulate financial decision problems mathematically? And how do you identify an appropriate method of solution? Understand the basic models and mathematical methods underlying modern portfolio management. Assess the limitations of these models and learn to correctly interpret your results from calculations.

View Mathematics of Portfolios on our Module Directory

Partial Differential Equations

This module will cover partial differential equations (PDEs), which can describe a majority of physical processes and phenomena. You will learn the properties of first and second order PDEs, the concepts behind them and the methods for solving such equations.

View Partial Differential Equations on our Module Directory

Capstone Project: Mathematics

This is a two-term project for which a student should undertake about 150 hours work. Students will gain experience of some branch of mathematics, statistics, operational research or the interface of these disciplines with other fields. The student should also gain experience of solo work involving research concerning some previously unknown topic, the production of a project report and an oral examination.

View Capstone Project: Mathematics on our Module Directory

Quantum Mechanics

University of Essex enjoy breaking away from tradition. In this module you will break from “classical physics” and gain a conceptual understanding in quantum physics. You will develop skills in solving quantum mechanical problems associated with atomic and molecular systems.

View Quantum Mechanics on our Module Directory

Stochastic Processes

Ever considered becoming an Actuary? This module covers the required material for the Institute and Faculty of Actuaries CT4 and CT6 syllabus. It explores the stochastic process and principles of actuarial modelling alongside time series models and analysis.

View Stochastic Processes on our Module Directory

Survival Analysis

What are the principles of actuarial modelling? And what are survival models? Examine how calculations in clinical trials, pensions, and life and health insurance require reliable estimates of transition intensities/survival rates. Learn how to estimate these intensities. Build your understanding of estimation procedures for lifetime distributions.

View Survival Analysis on our Module Directory

Teaching

  • Core components can be combined with optional modules, to enable you to gain either in-depth specialisation or a breadth of understanding
  • Learn to use LATEX to produce a document as close as possible to what professional mathematicians produce in terms of organisation, layout and type-setting
  • Our postgraduates are encouraged to attend conferences and seminars on a Thursday afternoon

Assessment

  • Courses are assessed on the results of your written examinations, together with continual assessments of your practical work and coursework

Fees and funding

Home/EU fee

£5,240

International fee

£11,246

Fees will increase for each academic year of study.

What's next

Open Days

We hold Open Days for all our applicants throughout the year. Our Colchester Campus events are a great way to find out more about studying at Essex, and give you the chance to:

  • tour our campus and accommodation
  • find out answers to your questions about our courses, student finance, graduate employability, student support and more
  • meet our students and staff

If the dates of our organised events aren’t suitable for you, feel free to get in touch by emailing tours@essex.ac.uk and we’ll arrange an individual campus tour for you.

Applying

You can apply for our postgraduate courses online. You’ll need to provide us with your academic qualifications, as well as supporting documents such as transcripts, English language qualifications and certificates. You can find a list of necessary documents online, but please note we won’t be able to process your application until we have everything we need.

There is no application deadline but we recommend that you apply before 1 July for our taught courses starting in October. We aim to respond to applications within two weeks. If we are able to offer you a place, you will be contacted via email.

Colchester Campus

Visit Colchester Campus

Home to over 13,000 students from more than 130 countries, our Colchester Campus is the largest of our three sites, making us one of the most internationally diverse campuses on the planet - we like to think of ourselves as the world in one place.

The Campus is set within 200 acres of beautiful parkland, located two miles from the historic town centre of Colchester – England's oldest recorded town. Our Colchester Campus is also easily reached from London and Stansted Airport in under one hour.

 

Virtual tours

If you live too far away to come to Essex (or have a busy lifestyle), no problem. Our 360 degree virtual tour allows you to explore the Colchester Campus from the comfort of your home. Check out our accommodation options, facilities and social spaces.

Exhibitions

Our staff travel the world to speak to people about the courses on offer at Essex. Take a look at our list of exhibition dates to see if we’ll be near you in the future.

The University makes every effort to ensure that this information on its course finder is accurate and up-to-date. Exceptionally it can be necessary to make changes, for example to courses, facilities or fees. Examples of such reasons might include a change of law or regulatory requirements, industrial action, lack of demand, departure of key personnel, change in government policy, or withdrawal/reduction of funding. Changes to courses may for example consist of variations to the content and method of delivery of programmes, courses and other services, to discontinue programmes, courses and other services and to merge or combine programmes or courses. The University will endeavour to keep such changes to a minimum, and will also keep prospective students informed appropriately by updating our programme specifications.

The full Procedures, Rules and Regulations of the University governing how it operates are set out in the Charter, Statutes and Ordinances and in the University Regulations, Policy and Procedures.

Related courses

Two women looking at a PC screen
Ask us a question

Want to quiz us about your course? Got a question that just needs answering? Get in touch and we’ll do our best to email you back shortly.