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:

1. Choose a Course: Select your subject, location, dates, and accommodation. You can add additional courses if you wish.
2. Provide Student Info: Fill in your name, contact details, and a short personal statement about why you'd be a great fit.
3. Enter School Info: Provide the name and address of your most recent school.
4. 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.