Undergraduate Course

BSc Mathematics

BSc Mathematics

Overview

The details
Mathematics
G100
October 2022
Full-time
3 years
Colchester Campus

Mathematics is the language that underpins the rest of science. On our BSc Mathematics you can study a wide range of topics, such as:

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

You’ll also have the chance to engage with our employability activities.

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.

Our Department of Mathematical Sciences is genuinely innovative and student-focused. Our research groups are working on a broad range of collaborative areas tackling real-world issues. Here are a few examples:

  • Our data scientists carefully consider how not to lie, and how not to get lied to with data. Interpreting data correctly is especially important because much of our data science research is applied directly or indirectly to social policies, including health, care and education.
  • We do practical research with financial data (for example, assessing the risk of collapse of the UK’s banking system) as well as theoretical research in financial instruments such as insurance policies or asset portfolios.
  • We also research how physical processes develop in time and space. Applications of this range from modelling epilepsy to modelling electronic cables.
  • Our optimisation experts work out how to do the same job with less resource, or how to do more with the same resource.
  • Our pure maths group are currently working on two new funded projects entitled ‘Machine learning for recognising tangled 3D objects’ and ‘Searching for gems in the landscape of cyclically presented groups’.
  • We also do research into mathematical education and use exciting technologies such as electroencephalography or eye tracking to measure exactly what a learner is feeling. Our research aims to encourage the implementation of ‘the four Cs’ of modern education, which are critical thinking, communication, collaboration, and creativity.
Why we're great.
  • 100% of our maths students are in employment or further study (Graduate Outcomes 2021).
  • 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.

Study abroad

Your education extends beyond the university campus. We support you in expanding your education through offering the opportunity to spend a year or a term studying abroad at one of our partner universities. The four-year version of our degree allows you to spend the third year abroad or employed on a placement abroad, while otherwise remaining identical to the three-year course.

Studying abroad allows you to experience other cultures and languages, to broaden your degree socially and academically, and to demonstrate to employers that you are mature, adaptable, and organised.

If you spend a full year abroad you'll only pay 15% of your usual tuition fee to Essex for that year. You won't pay any tuition fees to your host university

Placement year

Alternatively, you can spend your third year on a placement year with an external organisation, where you learn about a particular sector, company or job role, apply your academic knowledge in a practical working environment, and receive inspiration for future career pathways. You will be responsible for finding your placement, but with support and guidance provided by both your department and our Employability and Careers Centre.

If you complete a placement year you'll only pay 20% of your usual tuition fee to Essex for that 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.

“I’m happy to say that I am working in a field that I genuinely enjoy. As a software developer for HM Land Registry my responsibilities change depending on the team I am working with. So far I’ve had experience in software development, software testing, data analysis and project architecture. Problem solving is the number one skill from my degree that I need to use every day. In fact, most maths graduates have really good problem-solving and critical-thinking skills which helps us become proficient in the software development field.”

Vilius Gudziunas, BSc Mathematics, 2018

Entry requirements

UK entry requirements

A-levels: BBB, including Mathematics
Please note we are unable to accept A-level Use of Mathematics in place of A-level Mathematics

BTEC: DDM, only in conjunction with A-level Mathematics.

IB: 30 points or three Higher Level certificates with 555. Either must include Higher Level Mathematics grade 5.
We are also happy to consider a combination of separate IB Diploma Programmes at both Higher and Standard Level. Exact offer levels will vary depending on the range of subjects being taken at higher and standard level, and the course applied for. Please contact the Undergraduate Admissions Office for more information.

From 2021, we will accept grade 5 in either Higher Level Mathematics: Analysis and Approaches or Higher Level Mathematics: Applications and Interpretation.

Flexible offers
Eligible applicants that actively choose us as their firm choice will be able to take advantage of a flexible offer. This offer will specify alternative entry requirements than those published here so, if your final grades aren’t what you had hoped for, you could still secure a place with us. Visit our undergraduate application information page for more details.

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

English language requirements for applicants whose first language is not English: IELTS 6.0 overall. Different requirements apply for second year entry, and specified component grades are also required for applicants who require a Tier 4 visa to study in the UK.

Other English language qualifications may be acceptable so please contact us for further details. If we accept the English component of an international qualification then it will be included in the information given about the academic levels listed above. Please note that date restrictions may apply to some English language qualifications

If you are an international student requiring a Tier 4 visa to study in the UK please see our immigration webpages for the latest Home Office guidance on English language qualifications.

If you do not meet our IELTS requirements then you may be able to complete a pre-sessional English pathway that enables you to start your course without retaking IELTS.

Additional Notes

If you’re an international student, but do not meet the English language or academic requirements for direct admission to this degree, you could prepare and gain entry through a pathway course. Find out more about opportunities available to you at the University of Essex International College here.

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: OPTIONAL

Level 6 Mathematics option from list
(15 CREDITS)

COMPONENT 03: OPTIONAL

Level 6 Mathematics option from list
(15 CREDITS)

COMPONENT 04: OPTIONAL

Level 6 Mathematics option from list
(15 CREDITS)

COMPONENT 05: OPTIONAL

Level 6 Mathematics option from list
(15 CREDITS)

COMPONENT 06: OPTIONAL

Level 6 Mathematics option from list
(15 CREDITS)

COMPONENT 07: COMPULSORY WITH OPTIONS

MA831-6-FY or (MA829-6-AU or MA830-6-SP plus one option 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

Placement

On a placement year you gain relevant work experience within an external business or organisation, giving you a competitive edge in the graduate job market and providing you with key contacts within the industry. The rest of your course remains identical to the three-year degree.

Year abroad

On your year abroad, you have the opportunity to experience other cultures and languages, to broaden your degree socially and academically, and to demonstrate to employers that you are mature, adaptable, and organised. The rest of your course remains identical to the three-year degree.

Teaching

  • Teaching mainly takes the form of lectures – you study roughly two 50-minute lectures and one 50-minute class per week, per module
  • Take a mathematics careers and employability module, where you compile a portfolio of skills and experience

Assessment

  • Your final mark is a weighted combination of marks gained on coursework (eg homework problem sheets or tests) and your summer examinations
  • Your first year of study does not count towards your final degree class
  • Third-year students have the opportunity to complete a full-year or one-term project

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.

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

If you are an undergraduate student from the UK who has received an offer to study with us in October 2022, you will receive an invitation to attend an Applicant Day. Our Colchester Campus Applicant Days run from December to May on various Wednesdays and provide the opportunity to meet your department, tour our campus and accommodation, and chat to current students. For further information, please head to our Applicant Days webpage.

If you are an EU or International student, or can’t make any of our Applicant Days, we’ll be running a variety of Virtual Applicant Days throughout the year. To find out more, check out our Visit Us webpage.

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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