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#Cambridge #18-24 years old #Tutorials #From £5895


Lay the groundwork for all further study by mastering fundamental concepts and techniques in pure or applied mathematics, from group theory to ordinary differential equations.
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Build a sturdy base of mathematical knowledge and techniques on our insightful course. From algebraic techniques to Markov chains, you’ll discover the intuitive motivations behind some of the most beautiful mathematical proofs that you’ll one day apply to your own problems. We'll also work on your own mathematical thinking and how to approach problems.

Teaching methodology

Learn the Oxford way with tutorial-style teaching. Your expert tutor will foster self-directed learning and critical thinking through interactive seminars in small groups (no bigger than 8). During your course, you will complete two pieces of independent work (essays or problem sheets), which your tutor will then evaluate in either a 1:1 or 2:1 tutorial. Tutorials will provide you with the opportunity to discuss your work and feedback with your tutor and learn new perspectives from your classmates. On completion of the course, you'll receive a certificate and letter of recommendation from your tutor.

The experience

It’s all about balance. Study with us at Cambridge and we’ll help you embrace everything the city has to offer – from socialising with new friends with shared interests to field trips and excursions for practical lessons you just can’t learn from a textbook. We understand students. We make sure you’re stimulated with a social calendar that packs it all in, from traditional guided tours of the University museums to a tranquil afternoon punting on the River Cam.

And of course, you’ll experience the true Cambridge way of life from weekly formal dinners to competitive debating and croquet. Remember to save some energy for dancing the night away at a disco!

Typical outings

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Westminster, London

The Houses of Parliament, Big Ben, Westminster Cathedral, St James’s Park and Buckingham Palace – just a few of the world-famous landmarks in this part of London. Enjoy being at the heart of our vibrant capital.

British Museum

Discover amazing treasures and experience the history of people from around the world. Then explore the heart of London from Covent Garden and Trafalgar Square to the National Gallery and St James' Park.


Enjoy the fun of the classic Chaucer's Canterbury Tales as we take you back in history to discover English life in the 14th Century. Explore the famous Cathedral and even have a go at dressing in clothes of the time.


Explore the history of space, time and navigation at the Royal Observatory, step aboard the historic Cutty Sark, and uncover gripping stories about how today’s world was shaped at the National Maritime Museum.

Warwick Castle

Let your imagination roar with history, magic, myth and adventure in the age of gallant dragon-slaying knights. And discover dark dungeons and watch birds of prey soar at one of England’s finest mediaeval castles.

Tower of London

The Crown Jewels, Beefeaters, and over 1,000 years of history – explore this iconic ancient fortress and castle, walk along the mighty river Thames and discover vibrant Brick Lane.


It’s action stations as you step aboard world-famous warships, including Nelson’s HMS Victory, brave the glass floor of the Spinnaker Tower, and explore one of England’s most important naval cities.


Su Hyeong, South Korea

"My tutor gave me a list of topics we could cover during the course, ranging from the beginning undergraduate level to Master's degree level; I ended up choosing to do Graph Theory, as I thought this would be the most accessible and would sufficiently stretch my horizons."

Stay in Cambridge

Home to Cambridge University since 1209, this city is famous for its cyclists, its museums, and of course, the 107 Nobel Laureates. But have you heard of the Mathematical Bridge (c.1749)- the first bridge built using mathematical principles? Or did you know that the first official game of football with rules similar to those we use now was played in 1848 in the middle of the city? Cambridge has so much to offer, from a vibrant history to cobbled streets and cozy cafes. It’s the perfect place to study, and spend a summer exploring.

You will be staying in single or twin room college accommodation, occupied by students during term time, located within a mile of the centre. Your accommodation will be ideally located to explore all the best areas of the city, from its oldest colleges to its lovely cafes. Ensuite rooms may be available at some locations.

You will get a chance to eat in a variety of restaurants in Cambridge, tasting food from all over the world. On top of that, you’ll be treated to a delicious formal dinner in your college - a three-course meal where everyone gets a chance to dress up!


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Dr Simon Mullen

PhD Differential Geometry, University of Leeds - Simon is a maths educator. He spent many years in the IT industry working on the development of geometric software. So, with the encouragement of friends and family he changed careers to go into maths teaching. Simon is interested in both the history and the future of maths. His courses take you from the work of great Leonhard Euler (1707-1783) and touch upon the use of computer algebra systems like Maxima.

Dr Thomas Baker

PhD Mathematics, Imperial College London - His PhD was on an area of pseudo-differential operators, which is applied to partial differential operator problems. Having spent many years working on mathematical research, Tom is now focusing on developing his teaching skills. His PhD was awarded in May 2020 and he is using this milestone as an opportunity to focus on non-research projects after 4 years of hard work. His aim is to grow his tutoring to enable him to offer free lessons to disadvantaged students.

Dr Tom Crawford

PhD Fluid Dynamics, University of Cambridge - Tom teaches maths undergraduates at the University of Oxford, specialising in Applied Maths. Alongside his teaching commitments, he works closely with the university access outreach team and regularly gives talks in schools and universities across the UK. Tom's award-winning outreach programme 'Tom Rocks Maths' website hosts videos, podcasts, puzzles and articles that aim to make maths entertaining and understandable to all. Some of his partners include BBC, the European Mathematical Society, Cambridge University Press, Oxplore - Oxford University's Digital Outreach Portal, the Naked Scientists and New Scientist.

Dates & Prices

2 Jul - 15 Jul 2023

En-suite (private room and bathroom)



9 Jul - 22 Jul 2023

En-suite (private room and bathroom)



16 Jul - 29 Jul 2023

En-suite (private room and bathroom)



23 Jul - 5 Aug 2023

En-suite (private room and bathroom)



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