Overview of course
- Maximum tutorial size: 12 students
- Oxbridge style teaching
- University preparation workshops
- Inclusive of excursions
- Reside in a central University of Cambridge college
- Classes designed and taught by University tutors
- Dedicated university and subject specific advice
- A variety of carefully planned skills workshops
- Inclusive of all excursions and extracurriculars
- Diverse range of international participants
- Participant Assessment
- Certificate of Participation
This programme is available during all three Cambridge Immerse sessions in 2018
- Session 1: 8th July – 21st July 2018
- Session 2: 22nd July – 4th August 2018
- Session 3: 5th August – 18th August 2018
Cambridge Immerse is a unique two week residential educational experience with a diverse and enriching curriculum, designed and taught by Cambridge University and Oxford University tutors. Tutorials and seminars are taught by experts in an optimal learning environment that stimulates academic enquiry; yet the carefully planned schedule ensures that the programme not only meets the academic needs of the participants, but also provides a unique insight into the university city through an abundance of extracurricular activities.
The Cambridge Immerse Mathematics course is both challenging and engaging, with students learning in small groups to ensure that each student’s needs are addressed. In addition to covering material that is studied at the A-level and IB-level, students are also taught advanced university-level topics in a way that is approachable and easy to understand.
In addition to consolidating students’ existing understanding of Mathematics, the course introduces students to more advanced topics and debates that will not only spur intellectual curiosity, but will also assist in preparing to study the discipline at university level.
Academic Content & Learning Objectives
The Cambridge Immerse course is designed to give students an introduction to the undergraduate level Mathematics; in addition to extending the existing mathematical knowledge of participants, the course focuses upon showing how these concepts can applied to other areas.
Core topics explored within the programme include:
- Calculus – This is the study of ‘Differentiation’. This course moves on from the topics covered in the school environment to the advanced differentiation of functions involving many explicit and implicit variables.
- Analysis – This is a theoretical study of Mathematics. By using fundamental axioms, students will grow to understand what a mathematical proof really involves, and the skills required to construct rigorous and knowledgeable arguments.
- Integration – This part of the course focusses upon integration by parts and integration by substitution, and their practical applications.
- Statistics – A course introducing statistical techniques and methods, with lots of real-life examples so students can relate the abstract methods taught to real world environments.
- Mathematical Finance – This topic covers mathematical accounting and financial derivative, demonstrating the applicability of mathematical concepts and techniques to the ‘real’ world.
- The Philosophy of Mathematics – Students are encouraged to explore the major developments in mathematics and the philosophical impact they have had on the topic. This course will allow students to develop an appreciation for how mathematical results often overlap with deep philosophical questions.
Subject Requirements: Students are expected to be studying Mathematics, and to be familiar with algebra, integration and differentiation. All students are sent preparatory material 6 weeks before the programme commences, to ensure that all students are familiar with the core concepts.
Induction is an extremely powerful method of proof used throughout mathematics. It deals with infinite families of statements which come in the form of lists. The idea behind induction is in showing how each statement follows from the previous one on the list – all that remains is to kick off this logical chain reaction from some starting point. In order to do this, we will first establish the mathematical language that we will use throughout the programme and we will study some basic concepts in Set Theory too.
Solving quadratic equations is something that mathematicians have been able to do since the time of the Babylonians. If we imagine the square root of −1 to exist, then there is a beautiful theory we can create. We will discuss some introductory ideas associated with complex numbers, their algebra and geometry. This includes a look at their importance in solving polynomial equations, how complex numbers add and multiply, and how they can be represented.
Topology is the mathematical study of the properties that are preserved through deformations, twistings, and stretchings of objects. Tearing, however, is not allowed. A circle is topologically equivalent to an ellipse (into which it can be deformed by stretching). A ring torus is homeomorphic to the cartesian product of two circles S1 × S1. The torus has a generalization to higher dimensions, the n-dimensional torus, often called the n-torus or hypertorus. It is an example of an n-dimensional compact manifold and of a compact abelian Lie Group. We will introduce the concept of metric and topological spaces where we will see that we can actually define square balls. What is more, we will develop the required concepts to see if we can transform a doughnut into a coffee cup.
Our academic summer programmes offer students the option to choose to study one of 16 diverse subjects, from the arts to the sciences. All of our courses are designed and taught by current or past tutors at Cambridge University who have experience regularly teaching undergraduates. So whether you are interested in Philosophy or Medicine, Computer Science or Creative Writing, or something completely different, experience a unique taster course of what it’s like to study a subject at university level with an exceptional academic programme created and delivered by world-class tutors.
The Cambridge Immerse recruitment process is vigorous to ensure that every single of our tutors is engaging, supportive and passionate, with the drive to ignite a similar passion in the students. Cambridge Immerse’s mission is to provide students from across the world with a unique and unforgettable academic experiences. Our Cambridge summer programmes aim to inspire our participants and to excite them about their subject! We also strive to challenge our participants and stretch them academically, as we prepare them for what life will be like at a top university.
Our philosophy is that each of our participants should feel challenged with interesting academic concepts, whilst our tutors create a welcoming and supportive environment in which our participants thrive.
During the academic sessions at Cambridge Immerse, participants will be encouraged to explore and discuss advanced (and interesting!) topics in carefully planned classes that are designed to emulate the unique Oxbridge system of tutor-student engagement and debate. The aim of this approach is to allow students to develop skills that go beyond simply the learning of facts, but rather to interact with the material in a way that will stimulate academic thought and curiosity. These skills are vital for success in higher education. Participants in our Cambridge summer programmes tackle challenging and interesting academic topics that not only further academic passions but also develops themselves as a student and as an individual.
Programmes that we offer include:
Throughout the summer programme, the Cambridge Immerse tutors will monitor student engagement with the topics that they have been taught. Once the programme has finished, the tutor will write a Participant Assessment that will evaluate how the participant responded to the materials they were introduced to, what progress they made during the sessions, and offer recommendations on how to most effectively advance participant's understanding and interest in the topics that have been explored. We strongly believe that our Participant Assessments are crucial element of the learning process, and reflective of our commitment to the highest standards of education.
Cambridge Immerse is committed to ensuring that students feel confident when applying for university. In order to support students in their pre-university journey, the Cambridge Immerse summer programme contains a University Application Preparation series including workshops, consultations, and mock tests. Below is an example of what students can expect.
Interview Skills Workshops (Optional)
Interviews are required as a part of the admissions process at leading universities. What makes a great interview? During the Cambridge Immerse Interview Skills Workshops, students will gain an insight into what a university interview might look like and enable them to better understand how to respond to challenging academic questions and articulate their viewpoints in a pressured environment. These workshops focus upon instilling participants with confidence and the intellectual tenacity required to tackle some of the key questions that might be asked during interview. University interviews are nerve-wracking for prospective university applicants, it is our aim to support students during their interview preparation and equip them with the skills required throughout - thinking, processing, and responding. For many of our participants, the opportunity to hone their interview technique has been a highlight of the programme.
The Interview Skills workshops are included within the programme fee, though attendance is optional.
Personal Statement Consultations (Optional)
Personal statements form the basis of any strong university application - an opportunity for applicants to position their achievements and ambitions in the best possible light. During their time in Cambridge, students will have the opportunity to develop drafts of their personal statements required for access to all UK universities and many others around the world. The Cambridge Immerse mentor team, who are all currently studying at Cambridge University, are on hand to provide students with one-to-one consultations, offering guidance on how students can best express their interest in a particular subject. The aim of these individual consultations is for students to craft a compelling personal statement that showcases their achievements and interest in a subject
The Personal Statement consultations are included within the programme fee, though attendance is optional.
Certain subjects, such as Medicine and Law, require that prospective applicants to UK universities complete an aptitude test such as the LNAT (National Admissions Test for Law) , BMAT (BioMedical Admissions Test), UKCAT (UK Clinical Aptitude Test). Optional sessions provide participants of Cambridge Immerse with guidance and insights into the best practices for preparing for these tests.
Cambridge is a unique and historic city and with that comes a unique set of cultural experiences. During your time at Cambridge Immerse, students delve into the exciting and often fascinating spectrum of cultural activities available in Cambridge. Furthermore it is our mission to give students a glimpse into life at university, and so our academic programme is balanced with a vibrant and engaging extracurricular programme. Not only will you discover and further your academic interests, activities and excursions planned throughout the programme will give students the opportunity to socialise with like-minded peers from across the world. The activities on offer will often be completely new, exciting and typically Cambridge. Students will learn more about Cambridge, about their fellow students and, hopefully, about themselves.
A variety of activities are organised as part of the programme. Participants can enjoy:
- An afternoon in the sun punting down the River Cam, a quintessential Cambridge affair.
- A visit to Oxford, the home of Cambridge University’s arch ‘rival’.
- Formal dining in Cambridge’s famous medieval banquet halls; a Hogwarts experience.
Visit our activities page to view the full range of subjects that we offer.
The Cambridge Immerse schedule is packed with a wide range of unique academic and extracurricular activities.
Participants start off the day with breakfast in the main college dining hall, with a variety of continental and hot breakfast choices available. This is followed by the first academic session of the day, which takes place in a seminar or lecture format. Participants are then guided to lunch at some of Cambridge’s finest sandwich bars and cafés, and are welcome to explore the city in small groups. Following lunch, academic sessions continue in the format of small tutorial groups or workshops. After all the core academic sessions are finished, students are treated to one of a wide range of excursions and cultural activities, including punting, museum visits and sports activities. A three course dinner in the college dining hall is then followed by an evening social event to help participants wind down and socialise after a packed day.
The timetable shown to the side offers an insight into the typical daily schedule, although this may vary depending on the events planned on the given day.
Unrivalled support system
Cambridge Immerse prides itself on providing a supportive and approachable learning and living environment where participants can flourish. Participants are looked after by the Cambridge Immerse Mentors and Onsite Programme Manager.
Our mentor team is comprised of friendly, specially trained graduates and undergraduates from Cambridge University or Oxford University, who help our participants quickly settle into the programme. The mentors have first hand experience with a variety of academic and non-academic issues and are therefore in the best position to offer friendly, confidential one-to-one advice. It’s an unrivalled support network that we’re incredibly proud of. Mentors have studied a range of disciplines, allowing them to share their own insights and experiences of their academic careers. Each participant is also assigned a mentor, all of whom are enthusiastic to help participants to help create a ‘home away from home’. It’s an unrivalled support network that we’re incredibly proud of.
Each Cambridge Immerse Campus has an onsite Programme Manager who manages the onsite Mentor Team and oversees the organisation and execution of academic classes and social activities. The Programme Manager is an experienced individual who will be there to answer any queries participants or parents might have.
One of the most special elements about the programme, is the ability for students to truly immerse themselves in Cambridge student life by staying in a Cambridge University college during the summer. Cambridge Immerse takes place in four of Cambridge University’s most stunning and historic centrally located colleges: Queens’ College, Sidney Sussex College, Christ’s College and St Catharine’s College.
On each of the Cambridge University college sites, participant stay in single bedrooms, all of which are equipped with high speed internet access. These are the actual accommodation that Cambridge University undergraduates reside in during term time! Corridors or staircases separate students by gender, and bathrooms are either en-suite or shared between just a few participants of the same gender. The wellbeing of our participants is one of our primary concerns, and the college site is secured and monitored 24/7, not only by Cambridge Immerse staff, but also by the college staff themselves.
Visit our ‘Campus’ page for further information.
Travel Information: The fee for Cambridge Immerse is not inclusive of travel to Cambridge. There are several transport options available, including arriving in Cambridge by rail, coach or flight. Please contact us if you need assistance planning your journey to Cambridge.
For international participants, we arrange a shared airport transfer service from London Heathrow Airport to Cambridge. Dedicated staff members meet the participants at the airport terminal of their arrival. Participants are able to book this service once they have secured their place on the programme.
Medical and Dietary Requirements: We are able to cater for most dietary requirements (vegetarian, vegan, nut allergies, halal, kosher); please do not hesitate to contact us if you are unsure if we can cater for your dietary requirements. Breakfast and evening meals are included in Cambridge Immerse, and participants are expected to make their own provisions for lunch at various delicious eateries around Cambridge.
Other information: Students must be aged between 16-18 at the time of attendance to Cambridge Immerse. Students are expected to be fluent / near-fluent in English.
Participate in Cambridge Immerse
Cambridge Immerse is a residential summer course consisting of outstanding academic classes, excellent skills workshops and exciting extracurricular activities in the historic university city of Cambridge. Cambridge Immerse runs in the following 2 week sessions:
- Session 1: 8th July - 21st July 2018
- Session 2: 22nd July – 4th August 2018
- Session 3: 5th August – 18th August 2018
We would be happy to assist you if you have any questions prior to booking your place. For the fastest response to your enquiry, please email:
Take a look at what our students have to say about the Mathematics programme
University Insights Guide
Top undergraduate students have written an expert guide to the books that you should read for a varied and detailing understanding of your subject. Download our free expert guide to the books you need to succeed! This download also includes a guide to the “Top 20 UK Universities”.