Undergraduate Course

BSc Mathematics

(Including Foundation Year)

BSc Mathematics

Overview

The details
Mathematics (Including Foundation Year)
G104
October 2020
Full-time
4 years
Colchester Campus
Essex Pathways

Our BSc Mathematics (including foundation year) is open to Home and EU students. It will be suitable for you if your academic qualifications do not yet meet our entrance requirements for the three-year version of this course and you want a programme that increases your subject knowledge as well as improves your English language and academic skills.

This four-year course includes a foundation year (Year Zero), followed by a further three years of study. During your Year Zero, you study four academic subjects relevant to your chosen course as well as a compulsory English language and academic skills module.

You are an Essex student from day one, a member of our global community based at the most internationally diverse campus university in the UK.

After successful completion of Year Zero in our Essex Pathways Department, you progress to complete your course with the Department of Mathematical Sciences. 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 Department of Mathematical Sciences is genuinely innovative and student-focused.

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.

Why we're great.
  • We equip you with the necessary knowledge and skills to succeed at Essex and beyond.
  • Our students love studying mathematics with us - we receive consistently high student satisfaction scores.
  • Small class sizes allow you to work closely with your teachers and classmates.
THE Awards 2018 - Winner University of the Year

Our expert staff

Our staff all have strong subject backgrounds, and are highly skilled in their areas both as academics and practitioners.

Within our Department of Mathematical Sciences, 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

By studying within our Essex Pathways Department for your foundation year, you will have access to all of the facilities that the University of Essex has to offer, as well as those provided by our department to support you:

  • We provide computer labs for internet research; classrooms with access to PowerPoint facilities for student presentations; AV facilities for teaching and access to web-based learning materials
  • Our new Student Services Hub will support you and provide information for all your needs as a student
  • Our social space is stocked with hot magazines and newspapers, and provides an informal setting to meet with your lecturers, tutors and friends

Our Department of Mathematical Sciences also offers excellent on-campus 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.

“Studying maths at Essex gave me the platform to explore and be inquisitive about the subject I love through the support and enthusiasm of lecturers who are passionate about their areas of expertise. I also developed key employability skills which was supported by regular external speakers, giving me the opportunity to engage and interact with industry experts and to see the variety of careers available with a maths degree. This combination of high-quality support, teaching and enthusiasm from lecturers encouraged me to continue with a Masters and PhD at Essex under the direct supervision of leading experts.”

Alex Partner, BSc Mathematics, 2016

Entry requirements

UK entry requirements

UK and EU applicants should have, or expect to have:

72 UCAS tariff points from at least two full A-levels, or equivalent.

Examples of the above tariff may include:

  • A-levels: DDD
  • BTEC Level 3 Extended Diploma: MMP

All applicants must also hold GCSE Maths and Science at grade C/4 or above.

Essex Pathways Department accepts a wide range of qualifications from applicants. If you are unsure whether you meet the entry criteria, please get in touch for advice.

Essex Pathways Department is unable to accept applications from international students. Foundation pathways for international students are available at the University of Essex International College and are delivered and awarded by Kaplan, in partnership with the University of Essex. Successful completion will enable you to progress to the relevant degree course at the University of Essex.

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 5.5 overall. 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 required. 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

Our Year 0 courses are only open to UK and EU applicants. If you’re an international student, but do not meet the English language or academic requirements for direct admission to your chosen 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.

Structure

Example structure

We offer a flexible course structure with a mixture of compulsory and optional modules chosen from lists. Below is just one example structure from the current academic year of a combination of modules you could take. Your course structure could differ based on the modules you choose.

Our research-led teaching is continually evolving to address the latest challenges and breakthroughs in the field, therefore all modules listed are subject to change. To view the compulsory modules and full list of optional modules currently on offer, please view the programme specification via the link below.

Mathematical Methods and Statistics

Develop your problem solving skills in this module, as you are introduced to Statistical and Mathematical concepts with a particular focus on mechanics. You become familiar with R software, one of the most widely used statistical analysis software in the world, and learn how to use it to analyse and interpret data. You study simple concepts and techniques like data description and distribution; before moving on to more complex topics and theories including Newton’s laws of motion and the concepts of Mechanical energy. While also covering everything from probability rules and hypothesis testing to advanced algebra – you will be well equipped to present your solutions and findings to an audience with no specialist knowledge of Statistics and Mechanics.

View Mathematical Methods and Statistics on our Module Directory

Computer Programming

How do you test and evaluate the operation of simple computer programs? Or develop a program using tools in the Python programming language? Study the principles of procedural computing programming. Examine basic programming concepts, structures and methodologies. Understand good program design, learn to correct coding and practice debugging techniques.

View Computer Programming on our Module Directory

Essential Mathematics

Want to know the basic mathematical techniques of algebra? To understand calculus? To apply methods of differentiation and integration to a range of functions? Build the basic, then more advanced, mathematical skills needed for future study. Learn to solve relevant problems, choosing the most suitable method for solution.

View Essential Mathematics on our Module Directory

Calculus

At University of Essex, we are all about understanding and creating change. This module will allow you to study mathematical change and 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

Applied Mathematics

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

Statistics I

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 packages.

View Statistics I on our Module Directory

Matrices and Complex Numbers

Can you perform simple operations on matrices? 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

Mathematical Skills

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

Discrete Mathematics

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

View Discrete Mathematics on our Module Directory

Numerical Methods and Computation

Are you always keen to solve a puzzle? This module introduces how to construct an algorithm, including automata and Turing machines and the basic numerical methods to see how they can be used to solve problems.

View Numerical Methods and Computation 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

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

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

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

Ordinary Differential Equations

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. The course 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

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

Numerical Methods

What are the processes and pitfalls of mathematical approximation? How do you carry out simple numerical processes “by hand”? Understand the practical techniques for carrying out numerical computations on a range of mathematical problems. Build your knowledge of mathematical computing. Learn how to implement and execute algorithms in Matlab.

View Numerical Methods 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

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

Numerical Methods

What are the processes and pitfalls of mathematical approximation? How do you carry out simple numerical processes “by hand”? Understand the practical techniques for carrying out numerical computations on a range of mathematical problems. Build your knowledge of mathematical computing. Learn how to implement and execute algorithms in Matlab.

View Numerical Methods 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

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

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

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

Graph Theory

Can you prove basic results in the theory of graphs? Or deal with basic theory about matchings, like Hall’s theorem? Examine key definitions, proofs and proof techniques in graph theory. Gain experience of problems connected with chromatic number. Understand external graph theory, Ramsey theory and the theory of random graphs.

View Graph Theory on our Module Directory

Teaching

  • Your teaching mainly takes the form of lectures and classes, the latter involving about 20 students
  • You can contribute and interact in lectures through the use of smart technology
  • A typical timetable includes a one-hour lecture and a one-hour class for each of your four modules every week
  • Any language classes involve language laboratory sessions
  • Our classes are run in small groups, so you receive a lot of individual attention

Assessment

  • Your assessed coursework will generally consist of essays, reports, in-class tests, individual or group oral presentations, and small scale research projects

Fees and funding

Home/EU fee

£9,250

International fee

£16,050

Fees will increase for each academic year of study.

Home and EU fee information

International fee 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.

2019 Open Days (Colchester Campus)

  • Tuesday, December 17, 2019

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 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 EU applicants 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.

Please note that this course is not open to international applicants.

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 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 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 course finder is accurate and up-to-date. Occasionally 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.

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