Mathematics


Gain expert insights in an online summer school in Mathematics
Supported by Oxbridge academics, you will explore what an undergraduate degree in mathematics could look like and appreciate the range of opportunities that this discipline could open up for you.
Topics range from set theory, to modern geometry and beyond enabling you to get a feel for what it would be like to study Mathematics at an advanced level.
About Online Insights
Over the course of this programme, participants will take part in virtual seminars, future skills workshops, one-to-one tutorials, as well as group social activities led by current Oxbridge undergraduates.
Students receive a combination of subject-based tuition, one-to-one tutorials, future skills workshops and social activities with students from around the world.
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Average Class Size Of 5
Maximum 10 students -
1:1 Tutorials
2 x 30-minute sessions each week -
Oxbridge Academics
Tutors from Oxford and Cambridge University -
Future Skills Workshops
Develop key attributes such as personal branding, interview skills and academic writing
For students of all time zones
As there are participants joining from around the globe, Online Insights offers two “streams” – Stream A and Stream B.
Stream A starts in the morning whilst Stream B’s classes take place in the afternoon.
Note – as our faculty are all based in Oxford & Cambridge, all times communicated are in UK time.
To see how the Online Insights programme is structured, please view the timetable.

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Stream A
09:00 - 15:00 (UK time) -
Stream B
14:00 - 20:00 (UK time)

Example tutor:
Aurelio C

I thoroughly enjoyed working with my tutor, with whom I spent long hours on calls going through material, as well as occasionally going on tangents about our shared interests. He was really helpful, especially providing more digestible examples for more complex concepts.

Network with like-minded individuals
Daily social activities with participants around the world
Students can connect with like-minded individuals from around the world, and are encouraged to socialise and make friends through daily activities and games after classes finish.
Activities include virtual college tours, murder mystery parties and a ‘University Challenge’-style quiz.
These sessions are led by Oxbridge undergraduates who act as Mentors for Online Insights participants. This is a fantastic opportunity for participants to hear from students at Oxford and Cambridge University, and receive guidance and advice on studying at one of the world’s top universities.
Network with like-minded individuals
Online Learning Platform

Virtual Classrooms
All sessions are delivered on Zoom’s education platform – the world’s leading virtual classroom software.
Before the course begins, all students will receive a welcome pack that includes information about their tutors, mentors, guest speakers, as well as their programme overview.
Students will also receive an interactive timetable with links to each of their classes.
We offer 2-day intensives and 2-week programmes so that you can learn at a time and pace that suits your current schedule.
Sample Mathematics Lessons
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Module 1 - Matrix Calculus
Dive into the ubiquitous nature of matrices as they are represented in equations, geometric transformations, complex numbers, and even particles used in physics! An advantageous skill when undertaking any scientific discipline, you will start from linear systems, develop the formalism of matrices and transform them using the Gauss-Jordan method. -
Module 2 - Real Analysis
Explore the concept and definitions of numbers like Integers, Rationals and Reals. You will engage with key definitions such as sequences, series, limits of functions, and infinite series. By tying in real-world applications, such as how infinite series allow computers to calculate any kind of function, you'll learn to not only ‘write mathematics’, but also start to understand how maths affects today’s world. -
Module 3 - Vector Spaces
Vector spaces are the way to see the underlying geometry that spontaneously arises from algebra! You'll learn to deal with higher-dimensional spaces, where your eyes cannot see, but your mind can, through algebra. This generality is needed for instance in physics, where the theory of relativity requires a four-dimensional vector space. -
Module 4 - Project Presentation
This will be the most diverse and exciting day of the programme. A session devoted to enabling both you and your peers to share your own mathematical interests, develop useful presentation skills including ‘writing’ mathematics, and receive insightful feedback.
Download Online Insights Prospectus
Download Online Insights Prospectus
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2024 Early Enrolment, Dates TBC