Mathematics
The Mathematics summer school at ǶƵ, hosted at Cambridge Colleges, is designed for 18-24-year-old students and is priced from £7,595. The first course begins on 6 July 2025, with only two course dates available. Each course has only 8 spaces available, and they are filling up quickly. Many students have already secured their place—apply now to avoid missing out.
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Learning
Outline
Mathematics is an advanced course designed for 18–24-year-olds who have a strong foundation in mathematics and want to deepen their understanding of the subject. Students will explore a wide range of advanced topics, from algebraic techniques to Markov chains, and examine the intuitive motivations behind some of the most elegant mathematical proofs. The course offers the chance to focus on specific areas, such as group theory and ordinary differential equations, while developing advanced problem-solving skills. Our expert tutors will guide you through complex mathematical concepts, preparing you for further academic study or a career in a mathematically-driven field. We don’t follow a fixed curriculum—our tutors tailor the course to the group’s interests, making learning both engaging and relevant. The course also includes a masterclass on critical thinking and mathematical research skills, along with a reflection session to track progress and set new goals.
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.
Frequently Asked Questions
At ǶƵ, we understand that students aged 18-24 have different needs in terms of safeguarding. All staff are enhanced DBS-checked and trained in safeguarding policies. We maintain 24/7 on-site security, but with more independence allowed for this age group. Our policies are focused on ensuring safety while encouraging personal responsibility and autonomy.
Since spaces are limited, once a course is full, we are unable to accept additional students. We recommend applying early to avoid disappointment.
We recommend applying as soon as possible. Spaces are in high demand, and many courses fill up well in advance. The earlier you apply, the better your chance of securing your preferred course dates and accommodation type.
Each course has a limited number of places available across multiple accommodation options—Superior and Premier. With two-week courses running from 6 July to 2 August 2025, we recommend securing your spot early as spaces fill up quickly.
Courses begin on 6 July 2025, with two-week courses running until 2 August 2025. Places are already filling up fast, so apply now to avoid missing out.
The ǶƵ experience
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Get ready to explore the world of mathematics, where abstract concepts meet real-world applications. On our Mathematics course for ages 18–24 in Cambridge, you’ll delve into advanced mathematical theories and techniques, from calculus and linear algebra to number theory, statistics, and mathematical modelling. You’ll explore the connections between different mathematical fields and their practical applications in areas such as engineering, finance, and technology. With no fixed curriculum, you’re encouraged to share your specific areas of interest when you apply, and our expert tutors will tailor the course content to reflect those passions wherever possible.
Learn the Cambridge way with advanced tutorial-style teaching. Your expert tutor will guide you through interactive seminars in small groups (no bigger than 8), where you’ll engage in problem-solving sessions, independent research, and mathematical discussions. You’ll complete two pieces of independent work (mathematical proofs or research papers), which your tutor will evaluate in either a 1:1 or 2:1 tutorial. These tutorials provide an opportunity for in-depth feedback, critical analysis, and personalised support to deepen your understanding of mathematics.
Beyond the classroom, enjoy a full summer programme — including social events, excursions to Cambridge’s cultural landmarks, and a final graduation ceremony with a celebratory bop. It’s a summer of intellectual discovery, personal growth, and exciting new experiences.
Visiting Westminster in London is a must-see for anyone interested in the city's rich history and iconic landmarks. This historic district is located in the heart of London and boasts several of the city's most famous attractions, including the Houses of Parliament, Westminster Abbey, and Buckingham Palace.
The British Museum, located in the heart of London, is one of the world's most renowned museums, housing a vast and diverse collection of over 8 million historical artefacts from all corners of the globe. Founded in 1753, the museum covers over 2 million years of human history, from ancient civilisations to modern times.
Visiting Canterbury is a journey back in time to the heart of medieval England. The charming city boasts a rich history and stunning architecture, including the iconic Canterbury Cathedral, which has been a place of worship for over 1,400 years. Visitors can also immerse themselves in the world of Chaucer's Canterbury Tales, and even try on clothing from the era for a truly authentic experience.
Greenwich is a must-visit destination for anyone interested in history, science, or exploration. The Royal Observatory offers a fascinating glimpse into the history of space, time, and navigation, while the Cutty Sark provides a unique opportunity to step aboard a historic tea clipper from the 19th century. At the National Maritime Museum, visitors can uncover stories about how the modern world was shaped by centuries of seafaring exploration.
Visiting Warwick Castle is an opportunity to explore the rich history of this magnificent medieval fortress. It dates back to the 11th century and has played a significant role in English history. Students can explore the castle's impressive collection of buildings and exhibitions, as well as witness jousting tournaments, falconry displays, and other live shows.
The Tower of London is a historic castle and fortress that has served as a royal palace, prison, and even a zoo over the centuries. Visitors can explore its impressive collection of buildings and exhibitions, including the iconic White Tower, the Crown Jewels, and the medieval palace. They can also learn about the infamous prisoners who were held in the tower over the centuries, including Anne Boleyn and Guy Fawkes.
Visiting Portsmouth offers an opportunity to explore the rich maritime history of the UK. The city has played a significant role in the country's naval history, and students can learn about this at the historic dockyard, which is home to several iconic ships. They can also explore the Mary Rose Museum, which houses the remains of Henry VIII's flagship, and the National Museum of the Royal Navy.
Typical outings
Reviews
We understand how important it is for students to feel confident, independent, and inspired — and our summer school experience in Cambridge is designed with that in mind.
While you study Mathematics this summer as part of our 18–24s advanced programme, you’ll stay at one of the Cambridge colleges where we host our courses. With shared living spaces, on-course staff available for support, and a welcoming, vibrant environment, it’s the perfect setting to experience student life in one of the world’s leading academic cities.
Whether you’re solving complex equations or enjoying time with new friends in Cambridge, it’s all part of the experience.
For students attending the Cambridge 18-24 course, accommodation is based on the selected tier. The Superior Tier guarantees an ensuite room for added comfort and privacy. For the Premier Tier, our concierge service will help select the best available accommodation based on the student’s preferences.
Meals are provided on a half-board basis, including breakfast and dinner. Meals are served at the accommodation or at local restaurants, offering a variety of dining options.
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Timetable
Dates & Prices
- Teaching: Academic tuition.
- Meals: Full board includes breakfast, lunch, and dinner from Sunday to Thursday. Friday includes breakfast only, and Saturday no meals are provided.
- Accommodation: Housing in Resa Vallehermoso.
- Extracurricular Activities & Excursions: Included activities and excursions are available every afternoon, evening, and throughout the weekend.
- Transportation: Transportation for included activities.
- Use of Athletic and Recreation Facilities: Access to athletic and recreation facilities during the program.
- Safety & Supervision: Safety and supervision are provided for students throughout the course.
- Teaching: All interactive classes (15 students or less).
- Meals: Full-board (breakfast, lunch, and dinner provided).
- Accommodation: Standard (shared room).
- Trips & Activities: All-day trips and activities included.
- Airport Transfer: Included.
- Insurance: Travel and medical insurance included.
- Merch: Backpack, notepad, and water bottle.
- Certificate: Paper certificate awarded at the graduation ceremony.
- Customer Service: Standard.
- Friends & Family Discount: Not included.
- Teaching: All interactive classes (15 students or less).
- Meals: Full-board (breakfast, lunch, and dinner provided).
- Accommodation: Standard (shared room).
- Trips & Activities: All-day trips and activities included.
- Airport Transfer: Included.
- Insurance: Travel and medical insurance included.
- Merch: Backpack, notepad, and water bottle.
- Certificate: Paper certificate awarded at the graduation ceremony.
- Customer Service: Standard.
- Friends & Family Discount: Not included.
- Teaching: 13-24: Tutorials (1-2 students per tutor), seminars, and workshops.
- Meals: Ages 13-15 are Full-board (breakfast, lunch, and dinner included), and ages 16-24 are Half-board (breakfast and dinner included). Meals are served at the accommodation or local restaurants.
- Accommodation: Single or twin room (confirmed by us at a later date).
- Certificate: Digital.
- Customer Service: Standard.
- Merch: Notepad, pen.
- Airport Transfer: Not included.
- Insurance: Not included.
- Flexibility: Not included.
- Future Coaching Session: Not included.
- Friends & Family Discount: Not included.
- Teaching: All teaching, including small group seminars (8 students or less) and interactive workshops.
- Meals: Ages 13-15 are Full-board (breakfast, lunch, and dinner included), and ages 16-24 are Half-board (breakfast and dinner included). Meals are served at the accommodation or local restaurants.
- Accommodation: Concierge helps select the best available option.
- Certificate: Framed, signed (wet signature).
- Customer Service: Enhanced (OxSC concierge).
- Merch: Bottle, notepad, pen, backpack (premium merch).
- Airport Transfer: Included (Heathrow Airport only. No time restrictions.).
- Insurance: Platinum coverage (top-level protection on cancellation, medical, baggage).
- Flexibility: One-year free deferral.
- Future Coaching Session: Included (1 session).
- Friends & Family Discount: Discounted stay/meals for family in top Oxford/Cambridge hotels while on course.
- Teaching: All teaching, including small group seminars (8 students or less) and interactive workshops.
- Meals: Ages 13-15 are Full-board (breakfast, lunch, and dinner included), and ages 16-24 are Half-board (breakfast and dinner included). Meals are served at the accommodation or local restaurants.
- Accommodation: Guaranteed ensuite room.
- Certificate: Paper.
- Customer Service: Standard.
- Merch: Bottle, notepad, pen (enhanced merch).
- Airport Transfer: Included (Heathrow Airport only, available for flights arriving/departing between 8:00 AM and 3:00 PM. T&Cs apply.).
- Insurance: Enhanced coverage (higher limits on cancellation, medical, baggage).
- Flexibility: One-year free deferral.
- Future Coaching Session: Not included.
- Friends & Family Discount: Discounted stay/meals for family in top Oxford/Cambridge hotels while on course.
- Teaching: All teaching, including small group seminars (8 students or less) and interactive workshops.
- Meals: Ages 13-15 are Full-board (breakfast, lunch, and dinner included), and ages 16-24 are Half-board (breakfast and dinner included). Meals are served at the accommodation or local restaurants.
- Accommodation: Select your preferred single or twin room.
- Certificate: Paper.
- Customer Service: Standard.
- Merch: Notepad, pen.
- Airport Transfer: Included (Heathrow Airport only, available for flights arriving/departing between 8:00 AM and 3:00 PM. T&Cs apply.).
- Insurance: Standard coverage (cancellation, medical, baggage).
- Flexibility: Not included.
- Future Coaching Session: Not included.
- Friends & Family Discounts: Not included.
