Undergraduate Course

Integrated Master in Mathematics: Mathematics

Integrated Master in Mathematics: Mathematics

Overview

The details
Mathematics
G198
October 2022
Full-time
4 years
Colchester Campus

Mathematics at Essex is not what you would expect and has a genuinely broad reach; from exploring the economic impact of the social networks of cows, to the mathematical modelling of brain evolution to improve patient care – our research explores issues of global importance.

Mathematics is the language that underpins the rest of science. 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 can 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.

Topics include:

  • Optimisation, from linear to integer programming
  • Applied mathematics, such as vector calculus and differential equations
  • Pure mathematics, such as group theory and graph theory

Our MMath Mathematics is an Integrated Masters course that gives you the chance to fast track your degree and complete your final year in nine months compared to a regular MSc which usually takes twelve months. Our course will cover key skills in mathematics with the opportunity to apply theory and methods. Plus, combining your undergraduate and postgraduate study in one degree will give you a strong theoretical background as well as specialist expertise through independent research. This combination makes graduates from our course attractive candidates for many employers.

Why we're great.
  • An incredible 89% of our undergraduate maths students are in employment or further study (Graduate Outcomes 2020).
  • As well as being world-class academics and researchers, we are award-winning lecturers.
  • We are continually broadening the array of expertise in our department, giving you a wide range of options and letting you tailor your degree to your interests.
THE Awards 2018 - Winner University of the Year

Our expert staff

As well as being world-class academics, our staff are award-winning teachers. Many of our academics have won national or regional awards for lecturing, and many of them are qualified and accredited teachers – something which is very rare at a university.

We are a small but influential department, so our students and staff know each other personally. You never need an appointment to see your lecturers and professors, 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.

Specialist facilities

  • In addition to teaching, we have a Maths Support Centre, which offers help to students 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 a dedicated social and study space for Maths students in the department, which is situated in the new £18m STEM Centre
  • 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

Clear thinkers are required in every profession, so the successful mathematician has an extensive choice of potential careers. Mathematics students are in demand from a wide range of employers in a host of occupations, including financial analysis, management, public administration and accountancy. The Council for Mathematical Sciences offers further information on careers in mathematics.

Our recent graduates have gone on to work for a wide range of high-profile companies including:

  • KPMG
  • British Arab Commercial Bank
  • Johal and Company

We also work with our University's Student Development Team to help you find out about further work experience, internships, placements, and voluntary opportunities.

Entry requirements

UK entry requirements

A-levels: ABB including Mathematics or Further Mathematics

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.

Structure

Course structure

We offer a flexible course structure with a mixture of core/compulsory modules, and optional modules chosen from lists.

Our research-led teaching is continually evolving to address the latest challenges and breakthroughs in the field. The course content is therefore reviewed on an annual basis to ensure our courses remain up-to-date so modules listed are subject to change.

Teaching and learning disclaimer

Following the impact of the pandemic, we made changes to our teaching and assessment to ensure our current students could continue with their studies uninterrupted and safely. These changes included courses being taught through blended delivery, normally including some face-to-face teaching, online provision, or a combination of both across the year.

The teaching and assessment methods listed show what is currently approved for 2022 entry; changes may be necessary if, by the beginning of this course, we need to adapt the way we’re delivering them due to the external environment, and to allow you to continue to receive the best education possible safely and seamlessly.

Components and modules explained

Components

Components are the blocks of study that make up your course. A component may have a set module which you must study, or a number of modules from which you can choose.

Each component has a status and carries a certain number of credits towards your qualification.

Status What this means
Core
You must take the set module for this component and you must pass. No failure can be permitted.
Core with Options
You can choose which module to study from the available options for this component but you must pass. No failure can be permitted.
Compulsory
You must take the set module for this component. There may be limited opportunities to continue on the course/be eligible for the qualification if you fail.
Compulsory with Options
You can choose which module to study from the available options for this component. There may be limited opportunities to continue on the course/be eligible for the qualification if you fail.
Optional
You can choose which module to study from the available options for this component. There may be limited opportunities to continue on the course/be eligible for the qualification if you fail.

The modules that are available for you to choose for each component will depend on several factors, including which modules you have chosen for other components, which modules you have completed in previous years of your course, and which term the module is taught in.

Modules

Modules are the individual units of study for your course. Each module has its own set of learning outcomes and assessment criteria and also carries a certain number of credits.

In most cases you will study one module per component, but in some cases you may need to study more than one module. For example, a 30-credit component may comprise of either one 30-credit module, or two 15-credit modules, depending on the options available.

Modules may be taught at different times of the year and by a different department or school to the one your course is primarily based in. You can find this information from the module code. For example, the module code HR100-4-FY means:

HR 100  4  FY

The department or school the module will be taught by.

In this example, the module would be taught by the Department of History.

The module number. 

The UK academic level of the module.

A standard undergraduate course will comprise of level 4, 5 and 6 modules - increasing as you progress through the course.

A standard postgraduate taught course will comprise of level 7 modules.

A postgraduate research degree is a level 8 qualification.

The term the module will be taught in.

  • AU: Autumn term
  • SP: Spring term
  • SU: Summer term
  • FY: Full year 
  • AP: Autumn and Spring terms
  • PS: Spring and Summer terms
  • AS: Autumn and Summer terms

COMPONENT 01: CORE

Calculus
(30 CREDITS)

This module will allow you to build your knowledge of differentiation and integration, how you can solve first and second order differential equations, Taylor Series and more.

View Calculus on our Module Directory

COMPONENT 02: COMPULSORY

Applied Mathematics
(15 CREDITS)

Want to understand Newtonian Dynamics? Interested in developing applications of mathematical ideas to study it? Enhance your skills and knowledge in the context of fundamental physical ideas that have been central to the development of mathematics. Analyse aspects of technology and gain experience in the use of computer packages.

View Applied Mathematics on our Module Directory

COMPONENT 03: CORE

Statistics I
(15 CREDITS)

How do you apply the addition rule of probability? Or construct appropriate diagrams to illustrate data sets? Learn the basics of probability (combinatorial analysis and axioms of probability), conditional probability and independence, and probability distributions. Understand how to handle data using descriptive statistics and gain experience of R software.

View Statistics I on our Module Directory

COMPONENT 04: CORE

Matrices and Complex Numbers
(15 CREDITS)

Can you perform simple operations on complex numbers? How do you solve systems of linear equations using row operations? Can you calculate the determinant and inverse of a matrix? Understand the basics of linear algebra, with an emphasis on vectors and matrices.

View Matrices and Complex Numbers on our Module Directory

COMPONENT 05: COMPULSORY

Mathematical and Computational Modelling
(15 CREDITS)

This module introduces you to programming skills in the context of a range of mathematical modelling topics. Mathematical modelling skills will be an important focus alongside learning how to structure and implement codes in both Matlab and R. A key part of the module will be investigative open-ended computational modelling studies at both the group and individual level.

View Mathematical and Computational Modelling on our Module Directory

COMPONENT 06: COMPULSORY

Mathematical Skills
(15 CREDITS)

Want to develop your mathematical skills by solving problems that are varied in nature and difficulty? Keen to write mathematical arguments that explain why your calculations are answer a question? Examine problem-solving techniques for situations across mathematics, including calculus, algebra, combinatorics, geometry and mechanics.

View Mathematical Skills on our Module Directory

COMPONENT 07: COMPULSORY

Discrete Mathematics
(15 CREDITS)

This module will provide you with a foundation of knowledge on the mathematics of sets and relations. You will develop an appreciation of mathematical proof techniques, including proof by induction.

View Discrete Mathematics on our Module Directory

COMPONENT 08: COMPULSORY

Mathematics Careers and Employability
(0 CREDITS)

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

COMPONENT 01: COMPULSORY

Statistics II
(15 CREDITS)

In this module you'll be introduced to the basics of probability and random variables. Topics you will discuss include distribution theory, estimation and Maximum Likelihood estimators, hypothesis testing, basic linear regression and multiple linear regression implemented in R.

View Statistics II on our Module Directory

COMPONENT 02: COMPULSORY

Real Analysis 1
(15 CREDITS)

How do you use quantifiers in analysis? What are the principles underlying proofs of basic theorems concerning limits, continuity and differentiability? 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 1 on our Module Directory

COMPONENT 03: COMPULSORY

Vector Calculus
(15 CREDITS)

How do you define gradient, divergence and curl? 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

COMPONENT 04: COMPULSORY

Linear Algebra
(15 CREDITS)

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

COMPONENT 05: COMPULSORY

Abstract Algebra
(15 CREDITS)

The module introduces you to the key abstract algebraic objects of groups, rings and fields and develops their fundamental theory. The theory will be illustrated and made concrete through numerous examples in settings that you will already have encountered.

View Abstract Algebra on our Module Directory

COMPONENT 06: COMPULSORY

Ordinary Differential Equations
(15 CREDITS)

The subject of ordinary differential equations is a very important branch of Applied Mathematics. Many phenomena from Physics, Biology, Engineering, Chemistry, Finance, among others, may be described using ordinary differential equations. To understand the underlying processes, we have to find and interpret the solutions to these equations. The last part of the module is devoted to the study of nonlinear differential equations and stability. This module provides an overview of standard methods for solving single ordinary differential equations and systems of ordinary differential equations, with an introduction to the underlying theory.

View Ordinary Differential Equations on our Module Directory

COMPONENT 07: OPTIONAL

Option(s) from list
(30 CREDITS)

COMPONENT 08: COMPULSORY

Mathematics Careers and Employability
(0 CREDITS)

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

COMPONENT 01: COMPULSORY

Complex Variables and Applications
(15 CREDITS)

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

COMPONENT 02: COMPULSORY

Capstone Project: Mathematics
(30 CREDITS)

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

COMPONENT 03: OPTIONAL

Options from list
(45 CREDITS)

COMPONENT 04: OPTIONAL

Options from list
(30 CREDITS)

COMPONENT 05: COMPULSORY

Mathematics Careers and Employability
(0 CREDITS)

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

COMPONENT 01: CORE

Advanced Capstone Project: Actuarial Science, Data Science or Mathematics
(30 CREDITS)

Our Advanced Capstone Projects are opportunities for students to study independently a topic in mathematics, statistics and related areas (such as mathematical physics, data science, modelling and so on) and develop skills such as writing reports and giving presentations. You will be monitored by a supervisor, who will periodically set tasks and discuss the progress of the work. The key purpose of Advanced Capstone Projects is that you should be given the opportunity to show your strengths and be allowed a certain amount of freedom and leeway in how you complete the project. It will also provide opportunities for you to develop transferable communication, time- and task-management skills, through researching the topic and organising and producing the written and oral reports.

View Advanced Capstone Project: Actuarial Science, Data Science or Mathematics on our Module Directory

COMPONENT 02: COMPULSORY

Research Methods
(15 CREDITS)

Looking to build your research capabilities? This module will equip you with the principal research tools for your postgraduate course in Mathematical Sciences, including practice in the mathematical word-processing language LaTeX.

View Research Methods on our Module Directory

COMPONENT 03: COMPULSORY WITH OPTIONS

Options from list
(75 CREDITS)

Teaching

  • Courses are taught by a combination of lectures, laboratory work, assignments, and individual and group project activities
  • Group work
  • A significant amount of practical lab work will need to be undertaken for written assignments and as part of your learning

Assessment

  • You are assessed through a combination of written examinations and coursework
  • All our modules include a significant coursework element
  • You receive regular feedback on your progress through in-term tests
  • Courses are assessed on the results of your written examinations, together with continual assessments of your practical work and coursework

Fees and funding

Home/UK fee

£9,250

International fee

£18,600

Fees will increase for each academic year of study.

Home/UK fees and funding information

International fees and funding information

What's next

Open Days

Our events are a great way to find out more about studying at Essex. We run a number of Open Days throughout the year which enable you to discover what our campus has to offer. You have 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

Check out our Visit Us pages to find out more information about booking onto one of our events. And if the dates aren’t suitable for you, feel free to book a campus tour here.

2021 Open Days (Colchester Campus)

  • Saturday, November 13, 2021

Applying

Applications for our full-time undergraduate courses should be made through the Universities and Colleges Admissions Service (UCAS). Applications are online at: www.ucas.com. Full details on this process can be obtained from the UCAS website in the how to apply section.

Our UK students, and some of our EU and international students, who are still at school or college, can apply through their school. Your school will be able to check and then submit your completed application to UCAS. Our other international applicants (EU or worldwide) or independent applicants in the UK can also apply online through UCAS Apply.

The UCAS code for our University of Essex is ESSEX E70. The individual campus codes for our Loughton and Southend Campuses are 'L' and 'S' respectively.

You can find further information on how to apply, including information on transferring from another university, applying if you are not currently at a school or college, and applying for readmission on our How to apply and entry requirements page.

Applicant Days and interviews

Resident in the UK? If your application is successful, we will invite you to attend one of our applicant days. These run from January to April and give you the chance to explore the campus, meet our students and really get a feel for life as an Essex student.

Some of our courses also hold interviews and if you're invited to one, this will take place during your applicant day. Don't panic, they're nothing to worry about and it's a great way for us to find out more about you and for you to find out more about the course. Some of our interviews are one-to-one with an academic, others are group activities, but we'll send you all the information you need beforehand.

If you're outside the UK and are planning a trip, feel free to email applicantdays@essex.ac.uk so we can help you plan a visit to the University.

Colchester Campus

Visit Colchester Campus

Home to 15,000 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 tours allows you to explore our University from the comfort of your home. Check out our Colchester virtual tour and Southend virtual tour to see 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.

At Essex we pride ourselves on being a welcoming and inclusive student community. We offer a wide range of support to individuals and groups of student members who may have specific requirements, interests or responsibilities.


Find out more

The University makes every effort to ensure that this information on its programme specification 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, but are not limited to: strikes, other industrial action, staff illness, severe weather, fire, civil commotion, riot, invasion, terrorist attack or threat of terrorist attack (whether declared or not), natural disaster, restrictions imposed by government or public authorities, epidemic or pandemic disease, failure of public utilities or transport systems or the 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 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.

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