Undergraduate Course

BSc Mathematics with Physics

BSc Mathematics with Physics

Overview

The details
Mathematics with Physics
G1F3
October 2025
Full-time
3 years
Colchester Campus

Interactions between mathematics and physics have led to a range of weird and wonderful advances in the sciences, from elementary particle theory to general relativity and non-Euclidean geometry, to the understanding of chaos. At Essex, your ways of thinking will be shifted as we teach you about the cosmos, the symmetries of quarks and the complexities of quantum physics.

On our BSc Mathematics with Physics course you can study a wide range of topics, such as:

  • Pure mathematics, including geometry, algebra, analysis and number theory
  • Quantum mechanics, electronics and analytical mechanics
  • Further applied mathematical topics such cryptography, mathematical modelling, differential equations and dynamical systems

As well as these mathematical topics, your degree will develop your programming skills in languages such as Python, and you will learn to solve sophisticated problems using computational toolkits such as Matlab, Maple and R.

This course can lead to employment opportunities within business, commerce, education, engineering, government service, industry and research as well as from the wider economy.

Professional accreditation

This programme will meet the educational requirements of the Chartered Mathematician designation, awarded by the Institute of Mathematics and its Applications, when it is followed by subsequent training and experience in employment to obtain equivalent competences to those specified by the Quality Assurance Agency (QAA) for taught masters degrees.

Why we're great.
  • 86% of Essex graduates are in employment or further study (Graduate Outcomes 2024).
  • We’re ranked 25th in UK for mathematics (The Guardian University Guide 2025).
  • We are continually broadening the array of expertise in our School, 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 with an external organisation, learning about a particular sector, company or job role, applying your academic knowledge in a practical working environment, and receiving inspiration for future career pathways. You will be responsible for finding your placement, but with support and guidance provided by both your department and the placements team.

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.

Our School of Mathematics, Statistics and Actuarial Science 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.

Specialist facilities

  • 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 School, which is situated in the 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 in a wide range of high-profile roles including:

  • Chartered accountancy
  • Investment consultants
  • Accounts technicians
  • Stock lending analysts

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

“My current role is as a Higher Statistical Officer for the Department for Education. My Essex mathematics degree was pivotal for securing this role. The interview process involved technical questions as well as competencies – most of which my examples were based on projects I completed during my degree. The part of my job I enjoy the most is writing code and developing my skills. It’s extremely satisfying creating a bespoke solution that improves the cost/timeliness/automation of a previously poor process. I also enjoy the contextual aspect of my work. The figures I am producing are helping teachers and governors and therefore ultimately improving education for children which I am passionate about.”

Chloe Gates, BSc Mathematics, 2017

Entry requirements

UK entry requirements

  • A-levels: BBB - BBC or 120 - 112 UCAS tariff points from a minimum of 2 full A-levels, including B in Mathematics or Further Mathematics and Physics.
  • BTEC: DDM - DMM or 120 - 112 UCAS tariff points from a minimum of the equivalent of 2 full A-levels. Only acceptable in conjunction with A-level Maths and Physics. The acceptability of BTECs is dependent on subject studied and optional units taken - email ugquery@essex.ac.uk for advice.
  • Combined qualifications on the UCAS tariff: 120 - 112 UCAS tariff points from a minimum of 2 full A levels or equivalent, including B in Mathematics or Further Mathematics and Physics. Tariff point offers may be made if you are taking a qualification, or mixture of qualifications, from the list on our undergraduate application information page.
  • IB: 30 - 29 points or three Higher Level certificates with 555-554. Either must include Higher Level Mathematics and Physics grade 5.
  • IB Career-related Programme: We consider combinations of IB Diploma Programme courses with BTECs or other qualifications. Advice on acceptability can be provided, email Undergraduate Admissions.
  • QAA-approved Access to HE Diploma: 6 level 3 credits at Distinction and 39 level 3 credits at Merit, depending on subject studied - advice on acceptability can be provided, email Undergraduate Admissions.The Access to HE Diploma is only acceptable in conjunction with A-level Maths and Physics.
  • T-levels: We consider T-levels on a case-by-case basis, depending on subject studied. The offer for most courses is Distinction overall. Depending on the course applied for there may be additional requirements, which may include a specific grade in the Core. T-levels are only acceptable in conjunction with A-level Maths and Physics.

Contextual Offers:

We are committed to ensuring that all students with the merit and potential to benefit from an Essex education are supported to do so. If you are a home fee paying student residing in the UK you may be eligible for a Contextual Offer of up to two A-level grades, or equivalent, below our standard conditional offer.
Factors we consider:

  • Applicants from underrepresented groups
  • Applicants progressing from University of Essex Schools Membership schools/colleges
  • Applicants who attend a compulsory admissions interview
  • Applicants who attend an Offer Holder Day at our Colchester or Southend campus

Our contextual offers policy outlines additional circumstances and eligibility criteria.

For further information about what a contextual offer may look like for your specific qualification profile, email ugquery@essex.ac.uk.

If you haven't got the grades you hoped for, have a non-traditional academic background, are a mature student, or have any questions about eligibility for your course, more information can be found on our undergraduate application information page or get in touch with our Undergraduate Admissions Team.

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 contact our Undergraduate Admissions team at ugquery@essex.ac.uk to request the entry requirements for this country.

English language requirements

English language requirements for applicants whose first language is not English: IELTS 6.0 overall, or specified score in another equivalent test that we accept.

Details of English language requirements, including component scores, and the tests we accept for applicants who require a Student visa (excluding Nationals of Majority English Speaking Countries) can be found here

If we accept the English component of an international qualification it will be included in the academic levels listed above for the relevant countries.

English language shelf-life

Most English language qualifications have a validity period of 5 years. The validity period of Pearson Test of English, TOEFL and CBSE or CISCE English is 2 years.

If you require a Student visa to study in the UK please see our immigration webpages for the latest Home Office guidance on English language qualifications.

Pre-sessional English courses

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.

Pending English language qualifications

You don’t need to achieve the required level before making your application, but it will be one of the conditions of your offer.

If you cannot find the qualification that you have achieved or are pending, then please email ugquery@essex.ac.uk .

Requirements for second and final year entry

Different requirements apply for second and final year entry, and specified component grades are also required for applicants who require a visa to study in the UK. Details of English language requirements, including UK Visas and Immigration minimum component scores, and the tests we accept for applicants who require a Student visa (excluding Nationals of Majority English Speaking Countries) can be found here

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

Structure

Course structure

Our research-led teaching is continually evolving to address the latest challenges and breakthroughs in the field. The following modules are based on the current course structure and may change in response to new curriculum developments and innovation.

We understand that deciding where and what to study is a very important decision for you. We'll make all reasonable efforts to provide you with the courses, services and facilities as described on our website and in line with your contract with us. However, if we need to make material changes, for example due to significant disruption, we'll let our applicants and students know as soon as possible.

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

Statistics I
(15 CREDITS)

In this module you will learn the fundamentals of probability and statistics, including axioms and combinatorial analysis, distributions, and independence conditions. You will learn how to apply the addition rule of probability and construct diagrams to visually represent data sets. The course also covers the use of descriptive statistics to analyse data and provides hands-on experience with the R software package.

View Statistics I on our Module Directory

COMPONENT 02: CORE

Matrices and Complex Numbers
(15 CREDITS)

Matrices and complex numbers are two fundamental concepts which arise throughout mathematics. In this module you will be introduced to these objects and learn fundamental techniques for working with them in a variety of contexts.

View Matrices and Complex Numbers on our Module Directory

COMPONENT 03: COMPULSORY

Mechanics and Relativity
(15 CREDITS)

This module provides an in-depth introduction to ideas from Newtonian mechanics and dynamics which have played a crucial role in the evolution of mathematics. You will apply these ideas in various physical contexts, and develop your skills and understanding through the use of relevant software packages.

View Mechanics and Relativity on our Module Directory

COMPONENT 04: COMPULSORY

Mathematical and Computational Modelling
(15 CREDITS)

This module introduces programming skills and their applications in a range of mathematical contexts. Mathematical modelling skills will be an important focus, along with structuring and implementing code in MATLAB and R. To help you consolidate these skills, a key part of the module will be investigative computational modelling studies.

View Mathematical and Computational Modelling on our Module Directory

COMPONENT 05: 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 06: COMPULSORY

Foundations of Electronics I
(15 CREDITS)

This module is one of two concerned with scientific and engineering foundations on which electronics is based. All electronics components are based on physical principles that relate voltage, current flow and the storage or loss of energy. All the theory we need to learn about how circuits behave is based on the fact that electric charge cannot be created or destroyed, and that the energy of each electron just depends on where it is, and how fast it is moving. How charges move in materials depends on their crystal structures. From basic ideas, the main principles of electronics are built up so that they can be used in the wider study of electronics to solve problems.

View Foundations of Electronics I on our Module Directory

COMPONENT 07: 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 08: COMPULSORY

Mathematics Careers and Employability
(0 CREDITS)

What skills do you need to succeed during your studies? What about after university? How will you harness your knowledge and soft skills to realise your career goals? This module helps you take an active role in developing transferrable skills and capitalising on your unique background. As well as broad reflection on your professional development, this module will help you explore different career directions and prepare you for the application process, supported by an advisor from within the department.

View Mathematics Careers and Employability on our Module Directory

COMPONENT 01: COMPULSORY

Linear Algebra
(15 CREDITS)

Linear systems are some of the most widely-applied concepts in modern algebra. Beginning with the abstract axiomatic definitions of vectors, vector spaces and linear maps, this module allows you to derive powerful methods for understanding many different systems in mathematics and science.

View Linear Algebra on our Module Directory

COMPONENT 02: COMPULSORY

Real Analysis
(15 CREDITS)

How do we rigorously discuss notions of infinity and the infinitely small? When do limits and derivatives of functions make sense? This module introduces the mathematics underlying modern calculus. Fundamental theorems are proved about sets, sequences and series of real numbers, and about continuous and differentiable functions of a single real variable.

View Real Analysis on our Module Directory

COMPONENT 03: COMPULSORY

Statistics II
(15 CREDITS)

This module continues your journey into probability and statistics. Topics include distribution theory, estimation and Maximum Likelihood estimators, hypothesis testing, basic linear regression and multiple linear regression. You will continue to develop your skills with implementations in R.

View Statistics II on our Module Directory

COMPONENT 04: COMPULSORY

Vector Calculus
(15 CREDITS)

In this module, you will learn how to extend techniques from calculus to vector-valued systems, through classical concepts such as gradient, divergence and curl. You will learn central theorems about these operators, and examine various applications and examples.

View Vector Calculus on our Module Directory

COMPONENT 05: COMPULSORY

Analytical Mechanics
(15 CREDITS)

The techniques of this module allow you to study systems of particles acted on by forces. Building on Newton’s laws of motion, you will develop advanced techniques necessary for studying complicated, multi-particle systems. You will also consider beautiful extensions of Newton's equations due to Lagrange and Hamilton, which allow for simplified treatments of many interesting problems and provide the foundation for the modern understanding of dynamics.

View Analytical Mechanics on our Module Directory

COMPONENT 06: COMPULSORY

Ordinary Differential Equations
(15 CREDITS)

Ordinary differential equations are the backbone of much applied mathematics, arising everywhere that a physical, financial or other system changes continuously. This module introduces techniques for studying classes of linear and nonlinear differential equations, and for interpreting their solutions.

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? What about after university? How will you harness your knowledge and soft skills to realise your career goals? This module helps you take an active role in developing transferrable skills and capitalising on your unique background. As well as broad reflection on your professional development, this module will help you explore different career directions and prepare you for the application process, supported by an advisor from within the department.

View Mathematics Careers and Employability on our Module Directory

COMPONENT 01: COMPULSORY

Complex Variables
(15 CREDITS)

This module extends analytical and algebraic techniques to functions of complex variables, and their applications. You will develop powerful tools for studying functions via their zeroes and poles, including the powerful Residue Theorem for calculating real integrals.

View Complex Variables on our Module Directory

COMPONENT 02: COMPULSORY

Quantum Mechanics
(15 CREDITS)

This module introduces the mathematics of the bizarre world of quantum physics, where physical systems are described by waves, energies and probabilities. You will develop skills in solving quantum mechanical problems associated with atomic and molecular systems.

View Quantum Mechanics on our Module Directory

COMPONENT 03: COMPULSORY WITH OPTIONS

MA829-6-AU or MA830-6-SP
(15 CREDITS)

COMPONENT 04: OPTIONAL

Level 6 Maths option from list
(30 CREDITS)

COMPONENT 05: OPTIONAL

Level 6 Maths option from list
(45 CREDITS)

COMPONENT 06: COMPULSORY

Mathematics Careers and Employability
(0 CREDITS)

What skills do you need to succeed during your studies? What about after university? How will you harness your knowledge and soft skills to realise your career goals? This module helps you take an active role in developing transferrable skills and capitalising on your unique background. As well as broad reflection on your professional development, this module will help you explore different career directions and prepare you for the application process, supported by an advisor from within the department.

View Mathematics Careers and Employability on our Module Directory

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

  • Undergraduate students in the School of Mathematics, Statistics and Actuarial Science typically attend three taught hours per module per week, for example, this could be two hours of lectures and one class/lab every week, but this will vary dependent upon the 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 per year

International fee

£21,525 per year

Fees will increase for each academic year of study.

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). Full details on how to apply can be found on the filling in your UCAS undergraduate application web page.

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.

Offer Holder Days

If you receive an undergraduate offer to study with us in October 2024 and live in the UK, you will receive an email invitation to book onto one of our Offer Holder Days. Our Colchester Campus Offer Holder Days run from February to May 2024 on various Wednesdays and Saturdays, and our Southend Campus events run in April and May. These events provide the opportunity to meet your department, tour our campus and accommodation, and chat to current students. To support your attendance, we are offering a travel bursary, allowing you to claim up to £150 as reimbursement for travel expenses. For further information about Offer Holder Days, including terms and conditions and eligibility criteria for our travel bursary, please visit our webpage.

If you are an overseas offer-holder, you will be invited to attend one of our virtual events. However, you are more than welcome to join us at one of our in-person Offer Holder Days if you are able to - we will let you know in your invite email how you can do this.

A sunny day with banners flying on Colchester Campus Square 4.

Visit Colchester Campus

Set within 200 acres of award-winning parkland - Wivenhoe Park and located two miles from the historic city centre of Colchester – England's oldest recorded development. Our Colchester Campus is also easily reached from London and Stansted Airport in under one hour.


View from Square 2 outside the Rab Butler Building looking towards Square 3

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.

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 University would inform and engage with you if your course was to be discontinued, and would provide you with options, where appropriate, in line with our Compensation and Refund Policy.

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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