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BSc Mathematics (4 Years Including Foundation Year)

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  • We equip you with the necessary knowledge and skills to succeed at Essex and beyond.
  • Our international students benefit from a single visa for all four years of study.
  • Small class sizes allow you to work closely with your teachers and classmates.

Course options2017-18

UCAS code: G104
Duration: 4 years
Start month: October
Location: Colchester Campus
Based in: Essex Pathways
Fee (Home/EU): £9,250
Fee (International): £11,750
International students: The standard undergraduate degree fee for international students will apply in subsequent years
Fees will increase for each academic year of study.
Home and EU fee information
International fee information

Course enquiries

Telephone 01206 873666
Email admit@essex.ac.uk

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About the course

Our BSc Mathematics (including foundation year) is open to Home, EU and international 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 study a wide range of topics including:

  • Finance and Big Data
  • Discrete mathematics, languages and semigroup theory
  • Optimisation
  • Probability and applied statistics
  • Bioinformatics and mathematical ecology

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 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:

  • 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

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 the university’s Employability and Careers Centre to help you find out about further work experience, internships, placements, and voluntary opportunities.

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Example structure

We offer a flexible course structure with a mixture of compulsory modules and options chosen from lists. Below is just one example of a combination of modules you could take. For a full list of optional modules you can look at the course’s Programme Specification.

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.

Year 0

What are the key concepts in business management today? Explore core elements within the field of business management, covering topics in banking, finance, management and accounting. Apply theoretical concepts to key organisations, companies and institutions. Develop your analytical skills and practical knowledge of this dynamic sector.

What is economics? And what are the main economic theories and principles? Build your understanding, studying topics in microeconomics and macroeconomics. Develop your knowledge of economic implications and build your analytic skills in using simple mathematical techniques and economic diagrams.

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.

Academic Skills covers the key areas that you will experience during your degree, preparing you for aspects of academic study at undergraduate level. The module enables you to develop and enhance your existing abilities by focusing on the core skills of reading, writing, listening and speaking in an academic context. It does this with both generic texts and also, crucially, those related to your subject area. Academic Skills provides strategies for successful communication and interaction through independent and collaborative learning offering opportunity to further enhance your research skills. The content is designed to ensure that you acquire a range of transferable employability and life skills.

Year 1

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.

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.

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.

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.

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.

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.

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.

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.

Year 2

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.

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.

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.

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.

Can you recognise and manipulate simple sequences and series? Are you able to calculate Taylor series expansions? Or radii of convergence in power series? Can you change the order of integration in repeated integrals? Study a range of core mathematical techniques that have broad applicability.

This module combines a brief period of revision where you look at events and their probabilities with a close look at the principal continuous distributions. You will also have the opportunity to learn how to determine confidence intervals and carry out hypothesis tests.

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.

How do we know the Earth goes around the sun? How has mathematics been used to shed light on the physical sciences? Study a broad overview of modern physics, covering topics like atoms, light, relativity, quantum reality, cosmology, and the laws of nature. Develop your essay writing skills in mathematics.

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.

Final year

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.

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.

How do you solve systems of linear first-order equations in two unknowns with constant coefficients? Or analyse the stability characteristics of non-linear systems in two unknowns? Study the standard methods to solve single ordinary differential equations and systems of equations. Understand the underlying theory.

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.

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.

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.

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.

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.

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

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Qualifications

UK entry requirements

A-levels: DDD, or equivalent in UCAS tariff points, to include 2 full A-levels
GCSE: Mathematics and Science C

International and EU entry requirements

We accept a wide range of qualifications from applicants studying in the EU and other countries. Email admit@essex.ac.uk for further details about the qualifications we accept. Include information in your email about the high school qualifications you have already completed or are currently taking.

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.

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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.

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) 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.

Visit us

Open days

Our Colchester Campus events are a great way to find out more about studying at Essex. In 2017 we have three undergraduate Open Days (in June, September and October). These events enable you to discover what our Colchester 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 get in touch by emailing tours@essex.ac.uk and we’ll arrange an individual campus tour for you.

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.

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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.

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