BSc (Hons) Mathematics
(Including Foundation Year)
Overview
What is the BSc (Hons) Mathematics (Including Foundation Year)?
The BSc (Hons) Mathematics (Including Foundation Year) is a four-year degree.
You’ll secure a broad understanding of the fundamental of mathematics and their modern applications.
If you don’t yet meet the entry requirements for the three-year version, starting the course with a Foundation Year gives you a supported step up to university study.
Why this course
The BSc (Hons) Mathematics (Including Foundation Year) lets you blend pure mathematics, applied topics and statistical, financial and analytical methods.
Year Zero prepares you with the skills and confidence needed to progress into your first year and continue on to a full undergraduate degree programme.
From Year One of the BSc (Hons) Mathematics, you’ll develop programming skills in languages such as Python and SQL, and learn to use computational toolkits such as MATLAB, Maple and R.
You’ll graduate into a well-rounded mathematician ready for a range of career paths, from financial analysis to engineering. Crucially, you’ll leave with a personal portfolio to demonstrate your mathematical capabilities in job applications and interviews.
Who should apply
- Future mathematicians and researchers
- Students eager to master the logical foundations of all science, engineering and technology
- Those considering careers that apply mathematics or further the modern understanding
- Practical, analytic thinkers
What you’ll learn
- Pure: Explore various types of calculus, algebra and more
- Applied: Discover mathematical physics, differential equations and more
- Analysis: Gain a broad understanding of statistics and dive into specific analytic methods
- Specialise: Tailor your degree through your choice of optional modules
Your learning experience
- Expert teaching: Learn from active researchers furthering our modern understanding of mathematics and award-winning lecturers qualified and accredited in mathematics education
- Specialist facilities: Consult our Maths Support Centre one-to-one or in a group, and study in a dedicated social and study spaces for maths students in the STEM Centre
Careers and outcomes
A BSc (Hons) Mathematics degree prepares you for diverse careers in:
- Business and finance: Financial analysis, accountancy, consultancy
- Data science: Data analysis, statistics
- Technology: Software engineering, machine learning
- Research: Academic research, operational research
- Education: Mathematics teaching (primary or secondary)
- 6th in the UK for mathematics (Guardian University Guide 2026)
- 6th for student positivity in mathematics (National Student Survey 2025, English Broad Discipline Universities)
- We’re continually broadening our array of expertise, letting you tailor your degree to your interests
“I’m happy to say that I am working in a field that I genuinely enjoy. As a software developer for HM Land Registry my responsibilities change depending on the team I am working with. So far I’ve had experience in software development, software testing, data analysis and project architecture. Problem solving is the number one skill from my degree that I need to use every day. In fact, most maths graduates have really good problem-solving and critical-thinking skills which helps us become proficient in the software development field.”
Vilius Gudziunas, BSc Mathematics, 2018
Meet the researchers
Course content
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
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.
|
COMPONENT 01: CORE
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.
COMPONENT 02: CORE
This blended-learning module is designed to support students in their academic subject disciplines and to strengthen their confidence in key skills areas such as: academic writing, research, academic integrity, collaborative and reflective practices. The students are supported through the use of subject-specific materials tailored to their chosen degrees with alignment of assessments between academic subject modules and the skills module.
View Reading, Writing, Research, and Presentation Skills on our Module Directory
COMPONENT 03: CORE
Develop your problem-solving skills in this module, as you are introduced to Statistical and Mathematical concepts including 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. 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
COMPONENT 01: CORE
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.
COMPONENT 02: CORE
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.
COMPONENT 03: CORE
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.
COMPONENT 04: COMPULSORY
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.
COMPONENT 05: COMPULSORY
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 06: COMPULSORY
Want to develop your mathematical skills by solving a variety of problems? Keen to write elegant and fluent mathematical arguments? In this module you will encounter a range of problem-solving techniques for situations across mathematics, including calculus, algebra, combinatorics, geometry and mechanics.
View Introduction to Geometry, Algebra, and Number theory on our Module Directory
COMPONENT 07: COMPULSORY
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.
COMPONENT 08: COMPULSORY
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
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.
COMPONENT 02: COMPULSORY
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.
COMPONENT 03: COMPULSORY
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.
COMPONENT 04: COMPULSORY
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.
COMPONENT 05: COMPULSORY
The module introduces you to the key abstract algebraic objects of groups, rings and fields and develops their fundamental theory. The theory will be illustrated and made concrete through numerous examples in settings that you will already have encountered.
COMPONENT 06: COMPULSORY
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 08: COMPULSORY
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
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.
COMPONENT 05: COMPULSORY
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
Teaching
- Undergraduate students in the School of Mathematics, Statistics and Actuarial Science typically attend three taught hours per module per week. This varies by module, e.g. two hours of lectures and one class/lab.
Assessment
- Your final mark is a weighted combination of coursework and summer examinations.
- Year One does not count towards your final degree class.
- You receive regular feedback through in-term tests.
- In your final year, you have the opportunity to complete a full-year or one-term project.
Entry requirements
UK entry requirements
UK and EU applicants:
All applications for degree courses with a foundation year (Year Zero) will be considered individually, whether you
- think you might not have the grades to enter the first year of a degree course;
- have non-traditional qualifications or experience (e.g. you haven’t studied A-levels or a BTEC);
- are returning to university after some time away from education; or
- are looking for more support during the transition into university study.
Standard offer:
Our standard offer is 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
- T-levels: Pass with E in core
For this course all applicants must also hold GCSE Maths and Science at grade C/4 or above (or equivalent). We may be able to consider a pass in OFQUAL regulated Level 2 Functional Skills Maths where you cannot meet the requirements for Maths at GCSE level. However, you are advised to try to retake GCSE Mathematics if possible as this will better prepare you for university study and future employment.
If you are unsure whether you meet the entry criteria, please get in touch for advice.
Mature applicants and non-traditional academic backgrounds:
We welcome applications from mature students (over 21) and students with non-traditional academic backgrounds (might not have gone on from school to take level 3 qualifications). We will consider your educational and employment history, along with your personal statement and reference, to gain a rounded view of your suitability for the course.
You will still need to meet our GCSE requirements.
International applicants:
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 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 5.5 overall with a minimum of 5.5 in each component, or specified score in an equivalent test that we accept.
If we accept the English component of an international qualification it will be included in the academic levels listed above for the relevant countries.
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.
Additional Notes
If you’re an international student, but do not meet the requirements for direct admission to this degree or the first year of a degree at Essex, 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
Fees and funding
Home/UK fee
£9,790 per year
International fee
£21,500 per year
The standard undergraduate degree fee for international students will apply in subsequent years.
Fees will increase for each academic year of study.
If your course has the option to include a placement year or study abroad, and you choose to do so, you will pay the following:
Placement year
20% of your standard tuition fee for that year
Study abroad
Full year abroad
15% of your standard tuition fee for that year
Single term abroad
Standard tuition fee
Scholarships and financial support
There may be scholarships, bursaries or discounts available to help with the cost of this course.
Fees and funding guide
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.
2026 Open Days (Colchester Campus)
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. Please note that this course is not open to international applicants.
The UCAS code for our University of Essex is ESSEX E70. The individual campus code for our Loughton Campus is 'L'.
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.
If you receive an undergraduate offer to study with us in October 2026 and live in the UK, you will receive an email invitation to book onto one of our Open Days. These events provide the opportunity to meet your department, join interesting taster sessions, tour our campus and accommodation, and chat to current students. You can visit our Open Days event page for more information, including terms and conditions.
Please note that this course is not open to international applicants.
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.
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 our University from the comfort of your home. Check out our Colchester virtual tour to see accommodation options, facilities and social spaces.
Got a question about this course? Chat with one of our academics in the School of Mathematics, Statistics and Actuarial Science.
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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.
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.
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