Oxford Mathematics Online Summer Course

Course Description: Oxford Mathematics Online Summer Course

Our online programmes deliver an academically rigorous curriculum led by tutors from leading universities. We provide a structured, live learning environment where students can interact in real-time with their peers and tutors. Families can feel confident in a trusted organisation known for high teaching standards, small class sizes (maximum 15 students), and a supportive digital community.

Intrigued by mathematical problems? The Online Mathematics Academy offers the perfect opportunity to explore advanced concepts in mathematics that go far beyond the school curriculum.

Through live, interactive tutorials (not pre-recorded), you will explore advanced calculus, master complex algebra, and uncover the mysteries of number theory. Guided by expert tutors from leading universities such as Oxford and Cambridge, you will code algorithms, apply probability to real-world scenarios, and discover the practical applications of maths across diverse global industries.

Course Content & Learning Objectives

1. Algebra

• Discover how and why symbols are used in algebraic manipulations to solve complex problems.

• Advanced Applications: Examine advanced simultaneous equations and explore the role of algebra in matrices and high-level computations.

2. Proof

• Learn what constitutes a formal mathematical proof and examine the different types used in academic mathematics.

• Collaborative Analysis: Annotate and critique proofs created by peers to understand the logic and rigour required at the university level.

3. Number Theory

• Familiarise yourself with the foundational properties of numbers and the history of number theory.

• Brainstorming: Present the unique properties of a specific type of number to the class, exploring prime numbers, integers, and beyond.

4. Probability

• Explore the deep relationship between probability and statistics, focusing on scenarios with unique or non-intuitive outcomes.

• Logic: Use mathematical reasoning to navigate uncertainty and predict outcomes in various theoretical and real-world models.

5. Statistics

• Discover key statistical concepts that drive data analysis in the modern world.

• Worked Examples: Annotate examples of statistical operations in use to understand how data is interpreted and presented professionally.

6. Calculus

• Investigate the fundamental theorem of calculus and its vital importance in physics and engineering.

• Technical Mastery: Annotate examples of differentiation and integration, explaining the logic behind each step of the process.

7. Mechanics

• Investigate the key principles of mechanics, focusing on the physical laws that govern movement and force.

• Physics Integration: Examine the mathematical processes involved in applying these principles to solve engineering and scientific problems.

8. Cryptography

• Learn the mathematical foundations of secure communication and data protection.

• Project: Put theory into practice by creating your own original code using the sophisticated principles of cryptography.

9. Maths Today & Beyond

• Present a chronological sequence of the key developments in mathematics throughout human history.

• Contemporary Thought: Summarise the work of modern thinkers in the field and discuss how mathematics is evolving in the 21st century.

10. Final Challenge: Design a Code-Breaking Escape Room

• Apply everything you have learned throughout the course to design a code-breaking escape room.

• Integration: Use mathematical puzzles, problem questions, and logic to challenge your peers and demonstrate your mastery of the curriculum.

Meet Your Tutor 👩‍🏫

Agnieszka Wierzchucka BSc (Oxon), MSc (Oxon), DPhil (Oxon) (Candidate)

Agnieszka holds a Master of Science in Mathematics and Theoretical Physics from the University of Oxford. During her undergraduate studies, she was awarded multiple academic prizes for her First-Class performance. She is currently a DPhil candidate in Plasma Physics at the University of Oxford's Department of Physics, bringing cutting-edge research experience to her tutorials.

Please note, our faculty members may be subject to change.

Develop Your Mathematical Skills

Immerse yourself in the fascinating world of mathematics by tackling real-world challenges, participating in masterclasses, and learning from an inspirational tutor.

Master Fundamental Mathematical Concepts

• Master key concepts such as the fundamental theorem of calculus, the relationship between probability and statistics, and the core principles of mechanics.

Be Mentored by an Expert Academic

• Work closely with an academic mentor on real-world mathematical challenges. Whether examining key statistical operations, assessing mathematical proofs, or outlining the principles of cryptography, you’ll gain invaluable experience, working through problems just like the experts.

Connect with Future Scientists

• Join our weekly video socials to meet fellow students from around the world. These casual, fun events feature games, quizzes, and group activities, offering a chance to unwind, socialise, and make lasting connections with others passionate about mathematics.

Hear From a Graduate 💬

Ophelia Ridgwell - Oxford Graduate

“This prorgam has taught me to actively seek out opportunities, rather than waiting for them to come to me. The Experience Engineering Academy was an action-packed two weeks, with seemingly endless possibilities inside and outside the classroom.”

Practical Information

• Format: Live tutorials (Zoom or similar platform)

• Timings: Tutorials take place from 1pm – 3pm UK Time

• Dates: June – August (1 or 2-week programmes available)

• Class Size: Maximum 15 students to ensure personalised attention

• Requirements: Ages 15-18; Laptop with camera/mic; English level B2/C1

• Tuition Fee: £595 (1 week) or £995 (2 weeks)

What’s Included in Your Tuition Fee

Academics

• 20 Hours of live teaching (over two weeks)

• 4 Hours of Masterclass sessions

• Preparatory reading list & independent study assignments

• Detailed, personalised feedback on your puzzles and projects

Graduation & Beyond

• Formal Online Graduation Ceremony

• Personalised Letter of Recommendation from your tutor

• Official Certificate of Achievement

• Invitation to the Ambassador Programme

• Ongoing academic advice and support