Mathematics
The Mathematics summer school at Oxford Summer Courses taking place in Oxford is designed for 16-17 years old students, and is priced from £6995.
Learning
Outline
Mathematics Oxford summer school at Oxford Summer Courses for ages 16-17 years. Study Mathematics with Oxford Summer Courses. Go behind the numbers and learn how to reason with mathematics as a solid base for your arguments. Learn Maths with us, and you’ll look beyond simple calculations, find out about fundamental theory, and everything there is to know about real problem-solving. We’ll also explore the essentials of mathematical thinking to build a solid base of knowledge that you can apply to problems later in your study and through life. Make your maths bulletproof by getting to grips with the theory behind calculations. You’ll explore what makes an argument rigorous and how to prove (or disprove) a mathematical argument. Set and reflect on ambitious goals with our support, engage in tutorial Q&A sessions, participate in an academic skills masterclass for critical thinking development, explore future career pathways through expert speakers, attend a university fair to meet representatives from various universities, and have the chance to visit different Oxford colleges for a comprehensive Oxford summer school experience.
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
To be eligible, applicants should:
- Be between 16-17 years old.
- Have a sufficient understanding of English to participate in academic discussions and coursework.
- Have a keen interest in exploring their chosen subject(s).
If you meet these requirements, we’d love to see your application!
Applying is easy! Follow these steps:
- Choose a Course: Select your subject, location, dates, and accommodation. You can add additional courses if you wish.
- Provide Student Info: Fill in your name, contact details, and a short personal statement about why you'd be a great fit.
- Enter School Info: Provide the name and address of your most recent school.
- Review & Submit: Double-check your details and submit your application.
After submission, our admissions team will review your application, and you’ll hear back within 2-3 days. Apply now!
Yes, you can book more than one course! During the application process, you will have the option to add additional courses either before or after your main course. The total price, including any additional courses, will be displayed before you proceed.
After paying your deposit to secure your place, our admissions team will help you set up a bespoke payment plan. You can choose from options like monthly or bimonthly payments, and we will provide a detailed invoice outlining your instalment schedule. Learn more about payment plans.
Note: There are no additional fees for setting up a payment plan, and your place is secure once the deposit is paid.
The course is typically structured over two weeks, focusing on both pure and applied mathematics.
Week 1: Pure Mathematics – Logic and Proof (Example)
- Statements and Logical Operators.
- Quantifiers.
- Proof by Cases, Contradiction, and Induction.
- Set Theory and Tautologies.
- Proof Theory and Examples.
Week 2: Applied Mathematics – Dynamical Systems (Example)
- Matrices and Eigenvalues.
- Roots in Complex Analysis.
- Taylor and Laurent Series.
- Newton’s Method for solving polynomials.
- Newton’s Method as a Dynamical System.
Note: This is an example structure. The actual content may vary depending on the tutor’s expertise and student preferences. Students will have the opportunity to discuss their learning goals with admissions to tailor the course.
By the end of the course, students may:
- Develop a deep understanding of logic and proof techniques.
- Explore applied mathematics topics, such as dynamical systems and Newton’s Method.
- Gain skills in mathematical reasoning and problem-solving.
- Apply mathematical concepts to both theoretical and real-world scenarios.
Note: Learning objectives may vary based on student interests, which will be discussed during the admissions process.
Students are encouraged to do pre-course preparation to maximise their learning. Suggested resources include:
- Revise basic definitions like hypothesis, rational numbers, set theory, and logical operators.
- Optional extension: Complete exercises on logic and calculus from recommended websites like:
- Logic Matters Exercises
- Calculus Chain Rule Problems
- Indefinite Integrals Problems
Note: These are example resources. Specific materials may vary depending on tutor and student preferences. Students will be informed of the required materials in advance to allow enough time to prepare.
This course provides an excellent foundation for further studies in mathematics, physics, or engineering. You will develop strong logical reasoning and analytical skills, which are valuable for careers in research, data science, and mathematical modeling.
You are not required to have prior knowledge of advanced mathematics, but you are expected to:
- Actively participate in seminars and tutorials.
- Complete independent research and assignments.
- Engage in problem-solving and mathematical reasoning exercises.
The course is designed to challenge your understanding of mathematical concepts while developing your analytical thinking skills.
Note: The level of participation and engagement can be adapted to suit individual needs and preferences.
At Oxford Summer Courses, the safeguarding and wellbeing of our students aged 16-17 is our highest priority. All staff are fully trained in safeguarding policies and procedures, including enhanced DBS checks. We provide a safe and supportive environment with 24/7 on-site security, supervision when necessary, and curfews to ensure a secure atmosphere. Our policies are designed to offer age-appropriate care, balancing independence with safety.
The Oxford Summer Courses experience
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For ages 16-17: Academic pursuits deepen with seminars, tutorials, and independent study sessions. Goal-setting and reflection sessions provide a personalized approach to academic and personal growth. University fairs and college visits offer valuable insights into higher education options. Discover more about our teaching methodologies.
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 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 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.
Visiting Bath is a must-see attraction, as it is home to some of the best-preserved Roman architecture in the world and the ancient Roman Baths. Visitors can also explore Georgian architecture, such as the Royal Crescent and the Jane Austen Centre, which celebrates the life of the famous author.
Blenheim Palace is an impressive example of baroque architecture in Britain, home to Sir Winston Churchill. Visitors can explore the state rooms, stroll through the gardens, and try their hand at the challenging maze. It also houses a butterfly house, model village, and miniature train, providing entertainment for all ages.
The Ashmolean Museum in Oxford, is one of the world's oldest and most prestigious museums, founded in 1683. Its collection of over 1 million objects spans from ancient Egypt to contemporary art, including archaeological treasures, fine art, and rare manuscripts, making it a must-see destination for art, history, and culture enthusiasts.
Oxford is a world-renowned university city with stunning architecture, idyllic cobblestone streets, and rich history. It is home to some of the most iconic university buildings in the world, such as the Bodleian Library and Christ Church College, which inspired the Hogwarts dining hall in the Harry Potter movies. Visiting Oxford is like taking a step back in time and discovering the quintessential beauty of England.
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.
Discover the wonders of Bristol, one of the UK's coolest cities, as you explore its many attractions. Step aboard Brunel's engineering marvel, the SS Great Britain, and delve into its fascinating history. Get hands-on with science at We The Curious, gaze in wonder at the Planetarium, and uncover even more of Bristol's secrets as you explore this vibrant and eclectic city.
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For ages 16-17: Evening socials and a broader range of activities foster socializing and personal growth. Full-day excursions offer extensive exploration opportunities. Learn more about our Oxford summer school for ages 16-17.
Nestled within the University of Oxford’s most iconic colleges, including Lady Margaret Hall, New College, Somerville College, and Worcester College, students will experience life at one of the world’s top universities. Accommodation will be assigned based on the tier selected during the application process.
Ages 13-15: Enjoy full-board accommodations with all meals included—breakfast, lunch, and dinner—served either at your accommodation or local restaurants, with dietary requirements catered for. For ages 16-17 and 18-24, students will have half-board accommodations that include breakfast and dinner, served either at your accommodation or local restaurants, with dietary requirements catered for.
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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: 18-24: Tutorials (1-2 students per tutor), seminars, and workshops
- Meals: Half-board (breakfast and dinner included).
- Accommodation: Single or twin room (confirmed by us at a later date, based on student preference at booking).
- 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: Full board includes breakfast, lunch, and dinner, with meals served at either 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: Out-of-hours executive transfer included.
- 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: Full board includes breakfast, lunch, and dinner, with meals served at either the accommodation or local restaurants.
- Accommodation: Guaranteed ensuite room.
- Certificate: Paper.
- Customer Service: Standard.
- Merch: Bottle, notepad, pen (enhanced merch).
- Airport Transfer: Included (standard hours).
- 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: Full board includes breakfast, lunch, and dinner, with meals served at either the accommodation or local restaurants.
- Accommodation: Select your preferred single or twin room.
- Certificate: Digital.
- Customer Service: Standard.
- Merch: Notepad, pen.
- Airport Transfer: Included (standard hours).
- Insurance: Standard coverage (cancellation, medical, baggage).
- Flexibility: Not included.
- Future Coaching Session: Not included.
- Friends & Family Discounts: Not included.
