Mathematics Summer School
Advanced pre-university course in Mathematics in Cambridge colleges
Throughout the Immerse Education Maths summer school programme for 16-18-year-olds, you will be introduced to university level mathematics where you will gain valuable problem-solving skills, reside at a Cambridge University College, and develop new skills as you work through a carefully constructed syllabus. You will be provided with exciting insights to readily decide whether you should pursue studying maths at the university level. You’ll also engage in constructive mathematics as well as practical maths, and come away from the course knowing explore how the theories you learn apply in the context of the real world.
Learn directly from expert academics from world-class universities
You will explore novel concepts and share ideas in small groups of like-minded and ambitious peers from around the world. In small class sizes averaging 7 students, you will be guided by expert tutors who have honed their expertise through teaching undergraduate students at world-class universities, including the universities of Cambridge, Oxford, and Harvard.
Our rigorous vetting process guarantees that all participants are taught by engaging and supportive educators who are, most of all, enthusiastic about sharing their expertise to ensure our summer school teaching is of the highest quality. Immerse™ is an unrivalled academic experience.
Average class size of 7
Boost your confidence and develop key attributes in academic skills workshops
Our workshops are geared towards unlocking participants’ potential, giving them the tools to prepare for the next steps of their education and future goals. Build upon existing study skills to support future university-level learning.
These workshops explore a diverse and enriching range of topics – past examples have ranged from ‘Productivity tips’ to ’21st Century Technology Skills’. We’re sure that you’ll learn something completely new. Unlike traditional schools, Immerse allows you to learn beyond the traditional curriculum.
This programme is designed for students with at least an upper-intermediate level of English (B2). If you are unsure if you meet this requirement, please contact firstname.lastname@example.org.
Certificate & detailed participant evaluation
Experience Oxbridge life
Enhance key academic skills
Guest speakers from previous summers
Dr Lynda Shaw
Dr Nigel Warburton
I have made lots of friends who I plan to stay in contact with, and the program has improved my mathematical knowledge and my determination and desire to succeed.
Work hard, play hard.
Action-packed social programme
Outside of lessons, we are proud to offer a busy and diverse social programme to help you get the most out of your time in Cambridge. This includes activities such as punting on the River Cam, zorb football and a murder mystery night in the college.
There are also two excursions during the programme, one day trip to visit Oxford and its constituent colleges, as well as an optional day out in London, seeing the city’s most famous landmarks as well as some free time for shopping. Those who choose not to travel to London are invited to afternoon tea in Cambridge.
Activities and excursions are run by our team of friendly mentors – whose main job is to maximise your enjoyment.
Work hard, play hard.
A unique social programme.
Experience traditional 'Formal Hall'
Formal Hall is a traditional weekly meal that takes place in every college. This is an opportunity for students to dress up, dine by candlelight in the magical surroundings of a Cambridge college’s dining hall.
As an Immerse student, you will experience formal dinner three times during your stay – once per week in Cambridge, as well as in an Oxford University college on the excursion day.
Formal hall is truly a memorable occasion, so remember to bring some smart clothes!
A unique social programme.
Live and study in a
Cambridge University College
Experience life as a Cambridge University undergraduate
All participants will be allocated to a college a few weeks before arriving, based on their dates and subject choice.
If you would like to stay in the same location as a friend/sibling – please let us know and we will do our best to arrange this, where possible.
Males and females have separate accommodation in every college, and there is wi-fi available throughout.
For more information, please visit this page.
Student Welfare & Safety
An accredited provider of academic short courses
Immerse Education is accredited by the British Accreditation Council (BAC), the leading mark of educational quality for the academic sector. Our accreditation with the BAC sends a positive and clear message to students and partners that they are studying with a trusted and reliable provider who has met a series of globally recognised quality assurance standards, both in terms of academic provision and student welfare.
The safety and well-being of our participants is our number one priority, and all staff undergo enhanced background checks and receive thorough safeguarding training before interacting with any students.
For more information, please visit our Pastoral Information page.
Meet some of our mentors and
Dylan has been both an Immerse Mentor and a College Manager twice! He's known for going the extra mile to make the Immerse experience exceptional.
Eliza's infectious enthusiasm - from the academic sessions to the talent show -means that she's a firm favourite amongst Immerse students.
Maia is a Cambridge University Theology student who participated in the Immerse Philosophy programme.
Murray is an enthusiastic Medicine student at Cambridge University, who is always eager to help Immerse students make the best of their experience.
Olivia studies Medicine at Cambridge and has a knack for making friends with each of her mentor 'family' - creating a home away from home.
Ore participated in Immerse as a student before joining the team whilst studying at Cambridge, relating her Immerse experience to new students.
Immerse™ Mathematics Sample Modules
Module 1 - Matrix CalculusDive into the ubiquitous nature of matrices as they are represented in equations, geometric transformations, complex numbers, and even particles used in physics! An advantageous skill when undertaking any scientific discipline, you will start from linear systems, develop the formalism of matrices and transform them using the Gauss-Jordan method.
Module 2 - Real AnalysisExplore the concept and definitions of numbers like Integers, Rationals and Reals. You will engage with key definitions such as sequences, series, limits of functions, and infinite series. By tying in real-world applications, such as how infinite series allow computers to calculate any kind of function, you'll learn to not only ‘write mathematics’, but also start to understand how maths affects today’s world.
Module 3 - Vector SpacesVector spaces are the way to see the underlying geometry that spontaneously arises from algebra! You'll learn to deal with higher-dimensional spaces, where your eyes cannot see, but your mind can, through algebra. This generality is needed for instance in physics, where the theory of relativity requires a four-dimensional vector space.
Module 4 - Project PresentationThis will be the most diverse and exciting day of the programme. A session devoted to enabling both you and your peers to share your own mathematical interests, develop useful presentation skills including ‘writing’ mathematics, and receive insightful feedback.
Request syllabus overview
Request syllabus overview
2023 Early Enrolment – Dates between July – August (set dates TBC)