Looking to study Mathematics at university? Learning about group theory alongside classmates and an expert tutor, our Academic Online Course will give you the head start you need in this complex and fascinating subject.

What you need to know



For ages



Two weeks

Live sessions

10 hours

Learn Mathematics online

Connect with like-minded students from across the globe

Spend two weeks learning Mathematics from world-leading academics— and leave feeling confident. Through a program of self-paced learning and live classes, join an unforgettable learning experience.

Gain confidence to discuss your subject with world-class academics and admissions tutors

Experience university-style learning so that you are ready for your next step

Encounter fresh perspectives from your cohort of 6-9 international students

Get ready to make the right decisions about what subject to study at university

Your expert tutor


Dr. Thomas B.


After completing his PhD, Thomas went on to teach students from aged 11 all the way through to undergraduate level. He taught Mathematics at Imperial College for three years and is the ideal tutor to help you to achieve your academic goals in the subject.

How the course works

You'll learn through a mixture of webinars, tutorials and self-paced study over the two weeks of the course:

  • Four modules of study. Work at your own pace through four modules available to you on our learning platform anytime, day or night.

  • Two live webinars. Take your new knowledge into your weekly live webinars and share ideas with classmates from around the globe, guided by your expert tutor.

  • Two live tutorials. Discuss your individual questions with your tutor and get answers straight from the experts, as you learn in the classic Oxford style.

  • Regular feedback. Complete frequent knowledge checks and receive instant feedback, plus receive personalised feedback on one longer assignment.

Find out when we are next running this course here, then choose 'enrol now' to sign up.

Looking to study more than one subject?

No problem! We offer bespoke packages that best suit your academic needs. For those interested in studying an academic online course in more than one subject, please get in touch with our admissions team to answer all of your questions.

Why Choose Melio
Our world-class tutors help you to get ahead

Get ahead

with our expert tutors
Gain confidence

Gain confidence

to debate with world-class academics

Find your own path

for your next academic step
Learn flexibly

Learn flexibly

and study at a time that suits you
Stay secure

Stay secure

on our innovative learning platform
Study your way

Study your way

with our self-paced content and live sessions

Mathematics Course Overview


The definitions of groups

Understand what is meant by binary operations and groups

The first module of your course introduces you to binary operations, and looks at the binary operations you have already used, as well as letting you construct your own. Your tutor will then introduce you to the definition of groups and which common groups you can play with.




Structure of groups

Look at the different elements of a group

With your tutor and classmates, you will look at subgroups. This will tell you about the structure of a group, and isomorphisms of groups, which let you talk about whether one group is similar to another. This will allow you to get a clearer idea of what makes up a group.





What are permutations?

During your third module of the course, you will do a closer analysis of groups and look at what is meant by 'permutations' in relation to the groups you have been studying. Your tutor will take you through relevant definitions and ensure your understanding.




Theory of groups

Equivalence relations, co-sets and Lagrange's theorem

Your final module of the course will be around group theory, specifically Lagrange's theorem. You will analyse equivalence relations to help you get a better understanding of the structure of groups and work through the proof of an important theorem in group theory.




Become a subject expert

Our 120+ world class tutors will make you confident in just two weeks


Get ready for university

We give you the tools to choose the right subject for your next academic step


Stay one step ahead

Advance your academic journey and get ahead of your peers

Start your journey

Ready to take the next step in your academic journey? Get in touch today to discuss your goals, interests, and options. Our team of experts will guide you towards the best path for your future success.

Questions you may have

Our Academic Online Courses cost £875 for a two-week course.

Our Academic Online Courses are suitable for students aged 13-24. We split students into groups according to age, ability and experience so though the age range for the courses is wide, students normally study with peers of a similar age.

When you purchase a Melio course or program we will give you access to our innovative learning platform so that you can work through the self-paced content whenever you want, and log in to join live webinars and tutorials. The platform is best accessed using a desktop or laptop computer.

When you sign up, we will provide information about the course timetable in advance so that you can attend the live sessions. The sessions are designed to take place in evenings in your time zone so that they fit with school and other commitments.

To access the course you just need a desktop or laptop computer with a reliable internet connection and a microphone and camera. You do not require any specific study materials during your course, other than making sure that you can take notes as you need, so you may want a notepad or to use Google Docs or the notes function on your phone or tablet.

No prior knowledge is required to take one of our Academic Online Courses, just a desire to learn! Some students in your class may have studied the subject previously but our courses are designed to provide an introduction to university style teaching and we assume that you have not already studied the subject at university. The courses take place in English so you should feel confident to read, write, listen and speak in English in order to take part. In your tutorials you will be able to ask your tutor any specific questions that you have.

202x83 logo Footer







© 2021 Melio