Mathematics
Join the advanced Mathematics summer school at the award-winning Oxford Summer Courses in 2026. Hosted in historic Cambridge colleges for ambitious 18–24-year-olds, each class is limited to just 8 places. Apply now to secure your place.
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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.
The city of Cambridge, with over 800 years of academic tradition, has shaped some of the world’s greatest mathematical breakthroughs—from Isaac Newton’s laws of motion and calculus to modern advances in data science, cryptography, and theoretical physics. As part of the 18–24 Mathematics (Advanced) programme, you’ll live in a city defined by logic, problem-solving, and innovation. The city of Cambridge provides an inspiring backdrop for learning, with its historic colleges, renowned libraries, and a tradition of mathematical discovery that continues to influence science and technology worldwide.
Accommodation is in single or twin rooms, depending on the tier. Superior guarantees an ensuite; and Premier provides concierge-selected rooms. All include shared spaces and on-course staff support.
Meals are provided on a half-board basis (breakfast and dinner), served in college dining halls or at selected local restaurants. Students arrange their own lunch. All dietary requirements are catered for.
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The Oxford Summer Courses Experience
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Mathematics provides the structure behind scientific discovery, technology, and innovation — from modelling climate systems to powering artificial intelligence. In Cambridge, students explore advanced mathematical thinking in areas such as calculus, algebra, probability, or applied modelling (tailored to interests and level). Discussions and collaborative problem-solving help learners deepen their understanding of how abstract ideas lead to practical solutions in the real world.
This advanced-level course is designed for students who have completed at least two years of undergraduate study (or equivalent) in a related subject. Tutorials are capped at eight participants, with personalised tutor feedback on two independent assignments to strengthen proof construction, logical reasoning, and mathematical communication — key preparation for higher academic progression. College-style living, enrichment activities, and a global cohort contribute to an inspiring academic environment. Students finish with a certificate of completion, a tailored tutor recommendation, and increased confidence in their future mathematical pathway.
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
Timetable
Dates & Prices
- Teaching: All interactive classes (15 students or less).
- Meals: Not included.
- Accommodation: Not included.
- Trips & Activities: All-day trips and activities included.
- Airport Transfer: Not included.
- Insurance: Not included.
- Certificate: Paper certificate.
- Customer Service: Standard.
- Friends & Family Discount: Not included.
- Teaching: All interactive classes (15 students or less).
- Meals: Not included.
- Accommodation: Not included.
- Trips & Activities: All-day trips and activities included.
- Airport Transfer: Not included.
- Insurance: Not included.
- Certificate: Paper certificate.
- Customer Service: Standard.
- Friends & Family Discount: Not included.
- Teaching: All teaching, including small group seminars (8 students or less) and interactive workshops.
- Meals: Not included.
- Accommodation: Not included.
- Certificate: Paper.
- Customer Service: Standard.
- Airport Transfer: Not included.
- Insurance: Not included.
- Flexibility: Not included.
- Future Coaching Session: Not included.
- Friends & Family Discounts: Not included.
- 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.
- Certificate: Paper certificate.
- 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.
- Certificate: Paper certificate awarded at the graduation ceremony.
- Customer Service: Standard.
- 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).
- 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.
- 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.
- 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.
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Reviews
Frequently Asked Questions
At Oxford Summer Courses, 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.
