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Oxford Summer School Online
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Mathematics: Oxford Summer School Online 2021

Oxford Royale Academy's award-winning Mathematics Summer School 2021, delivered online as part of our Oxford Summer School Online, and taught by elite ORA academic faculty.

Why Study Mathematics?

Want to develop and hone your mathematical abilities? Our online Mathematics course will build on your existing knowledge to help you improve your confidence with all things numerical. As mathematics is fundamental to a wide range of other subjects and industries, the course will support you in other studies, whether it’s engineering, physics, accounting or mathematics itself. Not only will you receive an inspiring academic course, you’ll join our global online classroom, connect with other budding mathematicians and receive guidance and advice from our experts. You’ll strengthen your existing skills through puzzles, riddles and strategic mathematical games.

Join our Mathematics summer school, with Oxford Royale Academy and take control of your future.

Read more about the course...

Course Summary

The focus of this online Mathematics course is on strengthening fundamental skills and techniques, as well as introducing new and advanced topics. New techniques for solving well-known problems will be introduced and you will explore both the history of Mathematics and the future directions of the field. Mathematics is relevant and important for a huge variety of subjects, so will be useful regardless of the path you are interested in taking in future – and to aspiring mathematicians in particular.

You will have the opportunity to practice graph drawing, and to learn about general logic using mathematical puzzles and riddles. The class will also give short ‘previews’ of the mathematics taught in higher classes and an explanation of the practical importance of the subject. The online course will prepare you for further studies in Mathematics, and will assist you in deciding whether it is something that you would like to study in more depth.

Course Topics

The following is a list of sample topics that may be covered on the course.

  • Mathematics around us and mathematics in our lives
  • Mathematics of models
  • Mathematics of transformation
  • Mathematics of shapes
  • Geometry in art
  • Mathematics in navigation
  • Mathematics throughout history
  • Likelihoods in life

Kindly note that the exact syllabus is subject to change.

Learning Outcomes

By the end of the course, you will:

  • Understand GCSE-level algebra, geometry and trigonometry
  • Be able to work with variables and functions
  • Know how to calculate the angles, area and circumference of geometric shapes and divide circles using construction techniques
  • Understand sine, cosine and tangent, use them in calculations and know the theorems
  • Be able to explain the basic concepts of calculating probabilities and data analysis
  • Know how to solve quadratic equations
  • Feel more confident when presenting your own calculations, reasoning and ideas to your peers, both online and in person
  • Have gained an insight into what future study and career paths are open to mathematicians

Earn your certificate

After your amazing summer of discovery, we know that you’ll want to share your success with your family, friends and teachers back at home. We also know that you’ll want to understand from your ORA tutor what you did particularly well on your course, but also where there might be room for future learning and development.

After successfully completing your course, you’ll receive a graduation certificate, awarded at a memorable ceremony hosted for you and your parents on the final Friday of your summer school. We’ll also provide a detailed report card, highlighting all that you have achieved during your time with us, as well as some next steps for future success.

Course Summary

The focus of the online Mathematics course is on the introduction of basic concepts from higher mathematics, on the development and practice of critical thinking skills, and on fun and exciting topics that you are unlikely to be taught on a standard school curriculum. The course will challenge you to refine your mathematical abilities and numerical curiosity, as you are introduced to several different facets of modern mathematics. You will encounter important and interesting ideas in arithmetic, geometry, graph theory, logic, computer science and game theory. You will also improve your abilities through solving riddles and critical thinking puzzles, drawing tessellations and fractals, and by playing strategic mathematical games.

Throughout the course, you will naturally improve your visual thinking, curiosity and confidence in the discipline as you see how mathematics is evident in art, music and nature.

Course Topics

The following is a list of sample topics that may be covered on the course.

  • Numbers
  • Geometry
  • Networks
  • Geometry and polar coordinates
  • Probability
  • Infinity and 3D coordinate systems
  • Logic
  • Bayesian statistics
  • Game theory
  • Student presentations

Kindly note that the exact syllabus is subject to change.

Learning Outcomes

By the end of the course, you will:

  • Understand fundamental concepts including number theory, graph theory, geometry, probability, mathematical logic and game theory
  • Have improved your ability to work independently and as part of a remote team to solve puzzles and accomplish tasks
  • Have enhanced your ability to think critically to solve problems
  • Appreciate the broad range of applications of mathematics to every day life
  • Possess improved capacities to think visually and imaginatively
  • Feel more confident when presenting reasoning, analysis and opinions to your peers, both online and in person
  • Have gained an insight into what it would be like to study mathematics at university level
  • Earn your certificate

    After your amazing summer of discovery, we know that you’ll want to share your success with your family, friends and teachers back at home. We also know that you’ll want to understand from your ORA tutor what you did particularly well on your course, but also where there might be room for future learning and development.

    After successfully completing your course, you’ll receive a graduation certificate, awarded at a memorable ceremony hosted for you and your parents on the final Friday of your summer school. We’ll also provide a detailed report card, highlighting all that you have achieved during your time with us, as well as some next steps for future success.

    Experience the magic of an ORA summer school from your own home

    Offering a structured week of lectures, seminars and virtual project work, led by ORA’s elite tutoring faculty, the Oxford Royale Academy Online programmes provide many of the academic and teamwork benefits of an On Campus Summer School to students in their own homes.

    Lectures and seminars are led by members of ORA’s distinguished academic faculty, many of whom have studied at top universities in the UK and overseas, including Oxbridge, Harvard, Princeton, Yale and more. Our faculty includes senior doctors and lawyers, entrepreneurs, business leaders who have worked in Fortune 500 companies, engineers, scientists and more.

    Why Choose Oxford Summer School Online?

    World-class teaching faculty

    Whatever your motivation, our exceptional, inspiring, world-leading teachers can help you achieve more this summer. Our amazing array of talented tutors includes Oxbridge academics, Ivy League lecturers, groundbreaking medical researchers, glittering industry leaders in film and fashion, acclaimed authors, and more! We assemble our diverse faculty from all over the world, exclusively for you, so you only learn from the very best. During each virtual lecture you will learn from the world's leading academics, while also being able to ask questions and discuss material in a fully immersive digital learning environment using Microsoft teams.

    A global classroom

    Our Online Summer School consists of week-long summer courses starting every Monday from the beginning of May to the end of August. Our courses are the perfect way to expand on your knowledge and prepare you for any study ahead, while also being an engaging and exciting dive into new or familiar subjects. Guided and independent study periods, along with student-led breakout rooms, enable you to explore your chosen field with expert tutors and international peers. These interactive sessions are more student-led and provide a unique opportunity for learning and an exchange of ideas in a truly global classroom. You will learn as from each other as well as from your tutor, broadening your view of the world and expanding your appreciation for different peoples and cultures.

    Individual tutoring for Research Projects

    If group lessons are not for you, and you would prefer to have individual tutoring to develop your own independent research project you can contact our team to arrange this. We will match you with a world class academic with expertise in your field of interest. Over a minimum of 3 weeks, you will have the opportunity to independently develop a research project, with 10 hours' worth of one-to-one contact with your tutor. This project will give you the chance to expand your knowledge and delve deeper into a subject you are passionate about. Your project will be assessed and graded with detailed feedback, and a letter of recommendation and/or certificate will be awarded upon completion.

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    Full Enrichment Programme

    You will enjoy a full enrichment programme that includes lectures and seminars from industry experts and professionals on relevant global topics, as well as workshops on university applications and talks from prestigious universities. The aim of the Enrichment Programme is to enhance students' key skills and allow them the opportunity to link, socialise and network with their international peers.

    Access to our On Demand learning library

    As a student of the Oxford Summer School Online, you will have free access to our library of digital content with over 20 on-demand courses featuring almost 100 hours of self-paced learning material. There will also be the opportunity to book additional live tutoring with Oxford Royale faculty members, should you wish to build on the material covered in your virtual session.

    Any Questions?

    Check out our FAQs

    How do I book a place on my chosen course?

    Once you have decided which course you would like to attend, you can book online using our secure booking system. The enrolment process will take approximately 5 minutes to complete. You will need:

    • your personal and contact details
    • the details of the adult responsible for paying the course fees
    • the name of the course you would like to follow and the dates for which you would like to book
    • a credit or debit card for settling the course fee payment

    Once your application has been submitted and your payment has been received by us, you will be sent an email confirming that you have been successfully enrolled. If you have any queries please contact our Admissions team, who will be happy to assist you.

    How do I pay for my course?

    You can pay with a debit or credit card using our secure online booking system. If you would like to enrol and make your deposit payment via Bank Transfer, please contact our Admissions team, who will be happy to assist you in doing so.

    What do my course fees include?
    • Structured timetable of lectures, seminars and projects over each week-long course, with 4+ hours of guided learning each day.
    • Teaching from a top academic at the cutting edge of their field
    • Immersive, interactive seminars. Ask questions and discuss with your tutor and peers in a fully immersive digital learning environment.
    • Access to the enrichment timetable of speakers, seminars, social events, networking and useful materials for all 17 weeks of the Online Summer School.
    • Guest lectures from academics, industry experts, professionals and subject-matter experts – available to you live or on demand.
    • Access to Oxford Royale On Demand courses for 12 months.
    • Personalised academic report and graduation certificate.
    • Priority enrolment for our on-campus summer schools in 2022
    Will I receive a certificate?

    Yes, all students will be awarded an Oxford Royale Academy Graduation Certificate in their chosen course upon satisfactory completion of the course. Students will also receive a personalised report card containing formative feedback that they can use to ensure further improvement in their chosen subject.

    What's the average group size?

    Our average class size is 9 students. Based on our experience of operating online summer schools in previous years, we find that this is the optimum class size for both student progress and participant enjoyment is around 8 students. Our maximum class size is 12 students.

    What time zones will you offer?

    Two different start times for courses will be offered in order to make our course available to all geographic locations.

    For our WESTERN HEMISPHERE time zone, the first live lesson of each day will commence at 1700 UK time and the second and final live lesson of each day will conclude at 2000 UK time.

    For our EASTERN HEMISPHERE time zone, the first live lesson of each day will commence at 0700 UK time and the second and final live lesson of each day will conclude at 1000 UK time.

    There is a handy tool for converting UK time to your own time zone, here. Kindly note that we cannot guarantee both time zones to be available for each date selection.

    What technological requirements are there for this course?

    You will need a stable internet connection for the duration of your course.  It is a requirement that your video camera is turned on at all times during your lessons to enable full interaction with your teachers and peers. You will need to be able to access Oxford Royale’s chosen educational platform, which is Microsoft Teams for Education.  Guest lectures are likely to be delivered over a separate platform in order to support more attendees – we will provide you with links and instructions in due course.

    Can I take more than one course?

    Yes, you can attend as many courses as you wish. Please note that only one course can be attended per week. You are entitled to a discount of GBP 100 for each additional course that you book.

    If I need to cancel my booking, will I get my money back?

    You have the right to cancel and receive a full refund of monies paid, without giving any reason, within 14 days of making a booking.  Cancellation requests must be made in writing, by email to us on [email protected]. Cancellations that fall outside of this 14-day cooling off period will be governed by the relevant clause of our terms and conditions.

    When will I receive the information to be able to access my course?

    You will be sent your course login information the week prior to your course start date.

    If I have technical difficulties accessing my course, who can I speak with?

    Technical support will be available before and during your course.  Contact details will be provided with your course login information.

    On which dates does this programme operate?

    Our Oxford Online Summer School will operate from May to August inclusive. For specific dates for your chosen course, please see our dates and prices directory, which you can find on our dates and prices webpage.

    Can I change from an on campus programme to an online programme (or vice versa)?

    We would be happy to discuss this with you, and depending on your individual circumstances and course availability, we may be able to transfer your booking from one study mode to the other.

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