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Overview

The details

Course: Mathematics with Physics

UCAS code: G1F3

Start date: October 2023

Study mode: Full-time

Maximum duration: 3 years

Location: Colchester Campus

Based in: Mathematical Sciences

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.

84% of our Department of Mathematical Sciences graduates are in employment or further study (Graduate Outcomes 2022).
We are 26th in the UK for Mathematics in The Guardian University Guide 2023.
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 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 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.

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 department, 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: ABB, including Mathematics and Physics
Please note we are unable to accept A-level Use of Mathematics in place of A-level Mathematics

BTEC: DDD, only in conjunction with A-level Mathematics and Physics.

IB: 32 points or three Higher Level certificates with 655. Either must include Higher Level Mathematics and Physics grade 5. We will accept 5 in either Higher Level Mathematics: Analysis and Approaches or Higher Level Mathematics: Applications and Interpretation.
We are also happy to consider a combination of separate IB Diploma Programme Courses (formerly certificates) 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.
We can also consider combinations with BTECs or other qualifications in the Career-related programme – the acceptability of BTECs and other qualifications depends on the subject studied, advice on acceptability can be provided. Please contact the Undergraduate Admissions Office for more information.

T-levels: Distinction, only in conjunction with A-level Mathematics and Physics.

What if I don’t achieve the grades I hoped?

If your final grades are not as high as you had hoped, the good news is you may still be able to secure a place with us on a course which includes a foundation year. Visit our undergraduate application information page for more details.

What if I have a non-traditional academic background?
Don’t worry. To gain a deeper knowledge of your course suitability, we will look at your educational and employment history, together with your personal statement and reference.

You may be considered for entry into Year 1 of your chosen course. Alternatively, some UK and EU applicants may be considered for Essex Pathways, an additional year of study (known as a foundation year/year 0) helping students gain the necessary skills and knowledge in order to succeed on their chosen course. You can find a list of Essex Pathways courses and entry requirements here

If you are a mature student, further information is here

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 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 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.

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. However, if we need to make material changes, for example due to significant disruption, or in response to COVID-19, 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:

100

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)

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 02: CORE

Matrices and Complex Numbers

(15 CREDITS)

You'll be introduced to a range of important concepts which are used in all areas of mathematics and statistics. This module is structured in such a way that during learning sessions you'll develop good practical understanding of these concepts via discussion and exercises, and have an opportunity to ask questions. Theory is introduced via recorded videos and the corresponding notes published on Moodle, and also via recommendations of textbooks. The contact hours are dedicated to interactive activities such as lab exercises and flipped lecture quizzes; also you will have some additional formative tests in Moodle.

View Matrices and Complex Numbers on our Module Directory

COMPONENT 03: COMPULSORY

Mechanics and Relativity

(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 Mechanics and Relativity on our Module Directory

COMPONENT 04: 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 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? 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

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 02: COMPULSORY

Real Analysis

(15 CREDITS)

How can we rigorously discuss notions of infinity and the infinitely small? When do limits and derivatives of functions make sense? This module introduces the mathematics which enables calculus to work, with the epsilon-and-delta definition of limits as its cornerstone. Fundamental theorems are proved about 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)

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 04: 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 05: COMPULSORY

Analytical Mechanics

(15 CREDITS)

This module concerns the general description and analysis of the motion of systems of particles acted on by forces. Assuming a basic familiarity with Newton's laws of motion and their application in simple situations, you will develop the advanced techniques necessary to study more complicated, multi-particle systems. You will also consider the 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)

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

(30 CREDITS)

COMPONENT 08: COMPULSORY

Mathematics Careers and Employability

(0 CREDITS)

View Mathematics Careers and Employability on our Module Directory

COMPONENT 01: COMPULSORY

Complex Variables

(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 on our Module Directory

COMPONENT 02: COMPULSORY

Quantum Mechanics

(15 CREDITS)

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.

View Quantum Mechanics on our Module Directory

COMPONENT 03: COMPULSORY WITH OPTIONS

(15 CREDITS)

COMPONENT 04: OPTIONAL

(30 CREDITS)

COMPONENT 05: OPTIONAL

(45 CREDITS)

COMPONENT 06: COMPULSORY

Mathematics Careers and Employability

(0 CREDITS)

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

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

£19,530

Fees will increase for each academic year of study.

Home/UK fees and funding information

International fees and funding information

What's next

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.

2023 Open Days (Colchester Campus)

Saturday, June 17, 2023

Saturday, September 16, 2023

Saturday, October 28, 2023

Find out more

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 residing in the UK who has received an offer to study with us in October 2023, you will receive an email invitation to book onto one of our Applicant Days. Our Colchester Campus Applicant Days run from February to May 2023 on various Wednesdays and Saturdays, and our Southend Campus Applicant Days run from March to June 2023 on various weekdays and Saturdays. Applicant Days provide the opportunity to meet your department, tour our campus and accommodation, and chat to current students. We appreciate that travelling to university events can be expensive. This is why we have increased our Applicant Day Travel Bursary cap, allowing you to claim up to £150 as reimbursement for travel expenses. For further information about Applicant Days, including Terms and Conditions and eligibility criteria for our Travel Bursary, please visit our Applicant Days 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 Applicant Days if you are able to, so if you’d like to book a place, please contact our Applicant Day Team at applicantdays@essex.ac.uk

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.

Set within the 200-acre award-winning beautiful 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.

Whether you are planning to visit us at one of our Open Days, or coming to an Applicant day. Our campus conveniently located and easy to reach by car, train or bus.

How to get to Colchester Campus, parking and other travel information

Find out more

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

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.

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 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.