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Cambridge
16-18
years old

Mathematics

academic insights
2 weeks • July & August 2021
Gain advanced pre-university insights into Mathematics at Cambridge University colleges
Prepare for your future on the Immerse™ Mathematics programme.
Enrol now
Cambridge Mathematics Summer Program for Ages 16-18
Mathematics Summer Programme in Cambridge

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.

Overview
Academic

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

    Maximum class size of 10 students
  • 1:1 tutorials

    Supportive, challenging and engaging
  • Academic workshops

    Develop a practical understanding of your subject
  • World-class tutors

    Academics from Oxford and Cambridge

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.

  • Certificate & detailed participant evaluation

    All participants receive an individual report from their tutor
  • Personal project

    Develop a personal project to present at the end of the course
  • Experience Oxbridge life

    Live and learn like an Oxbridge undergraduate
  • Enhance key academic skills

    Interview skills, academic writing and presentation

Guest speakers from previous summers

Each week, Academic Insights participants will hear from an influential guest speaker from a variety of inspiring backgrounds. Meet some of our previous guests:
Neuroscientist & entrepreneur

Dr Lynda Shaw

A journey in personal development - how to create your own set of tools to fast track success
Former Olympian

Abi Oyepitan

A two-time Olympian and Commonwealth Gold and Silver winning track and field athlete.
Philosopher, author & journalist

Dr Nigel Warburton

How do great people find answers to deep and meaningful questions?
Tutors & Speakers
Reviews
Our Alumni says
"

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.

George B
Attended Immerse in 2018
Residential Summer Programme Student
5/5

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 – who’s 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.

Activities

Live and study in a
Cambridge University College

St Catharines College, University of Cambridge

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.

Accommodation

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.

Pastoral Care

Meet some of our mentors and
college managers

All mentors on the Academic Insights programme are past/current students at Oxford or Cambridge University, whilst College Managers have experience running academic short courses. All of our support staff are background-checked and receive training in providing an unforgettable experience for every Immerse student. Meet some of our previous team:
  • Dylan, Cambridge
    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, Cambridge
    Eliza's infectious enthusiasm - from the academic sessions to the talent show -means that she's a firm favourite amongst Immerse students.
  • Maia, Cambridge
    Maia is a Cambridge University Theology student who participated in the Immerse Philosophy programme.
  • Murray, Cambridge
    Murray is an enthusiastic Medicine student at Cambridge University, who is always eager to help Immerse students make the best of their experience.
  • Olivia, Cambridge
    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, Cambridge
    Ore participated in Immerse as a student before joining the team whilst studying at Cambridge, relating her Immerse experience to new students.
Pastoral Care

Immerse™ Mathematics Sample Modules

To see how the programme is structured, view the Academic Insights timetable here.
  • Module 1 - Matrix Calculus

    Matrix Calculus
    Dive 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 Analysis

    Real Analysis
    Explore 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 Spaces

    Vector Spaces
    Vector 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 Presentation

    Project Presentation
    This 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.
Want to learn more?
Request syllabus overview
Want to learn more?
Request syllabus overview
Modules
  • 11th July 2021 – 24th July 2021

  • 25th July 2021 – 7th August 2021

  • 8th August 2021 – 21st August 2021

13 nights accommodation in a central college of the University of Cambridge/Oxford
Breakfast and dinner in College Hall
Accommodation in an individual bedroom
40 hours of academic sessions from Oxford University and Cambridge University tutors
Carefully designed study and lecture materials
Mentor programme and access to support material
All excursions- including formal dinner at Cambridge/Oxford colleges, punting, croquet
Comprehensive summer school insurance
2 coach excursions including a trip to London
Graduation ceremony and certificate
Detailed evaluation written by tutor
Immerse notebook and pen
Mentor family photograph

Mathematics

academic insights
Cambridge
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