www.maths.ox.ac.uk/r/club

Oxford Online Maths Club

Oxford Online Maths Club

Oxford Online Maths Club logo

Welcome to the club! The Oxford Online Maths Club is a weekly livestream from the University of Oxford with maths problems, puzzles, mini-lectures, and Q&A. It’s free, interactive, casual, and relaxed, and the livestreams are recorded so that you can watch back afterwards if you can't make it to the live broadcast on Thursday afternoons. The club is mostly aimed at people about to apply to university or about to start a Maths course, but everyone's welcome and there's no registration needed. Whether you’re the only person you know who’s interested in mathematics, or if you’re an entire sixth-form maths club looking for more maths content, we’re here for you.

Our regular host is Dr James Munro (admissions and outreach coordinator for Maths at Oxford), and we often have current Oxford students answering questions in chat and appearing on the livestream to talk about maths. In some of the episodes we tackle tricky maths problems, in some of them we explore one maths topic in more detail, and in some of them we have a current Oxford student or member of staff on the livestream to talk about a bit of maths they love.

(Almost) every episode comes with some further reading notes for you to explore the topics we cover in the livestream in more depth. If you're looking for super-curricular mathematics (perhaps you're looking for an EPQ topic, or you're trying to explore maths beyond the classroom before applying to university), then this should be a good place to start. Click on "Further Reading" under any episode on this page to see these notes.

Next Livestream

The Oxford Online Maths Club will return in January 2023.

Contact us

If you’d like to ask us anything about anything we've covered on OOMC, send an email to oomc [at] maths.ox.ac.uk.

We'd love your suggestions for Maths topics, or feedback or comments on the livestream, which you can also send to the email address above.

Here's what some anonymous participants have said about the club;

"Thank you for being a constant and giving me a way to enjoy maths without having to leave the house or having to feel bad if I miss it. I honestly love this" - Anonymous participant

"Thank you! I'm both confused and more interested." - Anonymous participant

"How does that make any sense :D" - Anonymous participant

Previous Episodes

You can watch previous episodes and access all the further reading with the links below. There's no need to watch the episodes "in order"; choose one with a title that sounds interesting to you!

Season 4

52 Problems

Oxford Online Maths Club Season 4 Episode 12. 52 Problems

In this episode, we've got a pack of cards with maths facts or puzzles on every card. We talk about a few random cards before dropping the link where you can get all of them for free.

Watch on YouTube

Double Tangent

Oxford Online Maths Club Season 4 Episode 11. Double Tangent.

Can you find a line that's tangent to a given quartic in two different places? In this episode we give it a go. There's also a brief mention of a cool extension to the satellite-shadow problem from last week.

Watch on YouTube

Further Reading

Your Maths!

Oxford Online Maths Club Season 4 Epsiode 10. Your Maths!

It's something different in this episode of the Oxford Online Maths Club; maths that you've shown us! We've recently met lots of people at open days and some of you showed us maths that you're interested in; here are some of the things people have told us about.

Watch on YouTube

Heads or Tails?

Oxford Online Maths Club Season 4 Episode 9. Heads or Tails?

In this episode, the people in the live chat choose a sequence of three coin results; heads or tails, then James chooses a sequence. Which sequence will come up first? Let's find out!

Watch on YouTube

Curve Slideshow

Oxford Online Maths Club Season 4 Episode 8. Curve Slideshow

This episode had serious tech issues - the audio is OK but the video is very laggy, and everything breaks after half an hour. Don't worry, it's back to normal next week! James tries to draw a curve using only straight lines.

Watch on YouTube

Spirals with Vectors

Oxford Online Maths Club Season 4 Episode 7. Spirals with Vectors.

What happens if four dogs start at the corners of a square and each run towards the next dog around? In this episode, we try to find out with pencil and paper, and then with computer code, and then with vector calculus.

Watch on YouTube

Sums and Integrals

Oxford Online Maths Club Season 4 Episode 6. Sums and integrals

In this episode, we use integrals to approximate sums and deduce some facts about the harmonic sum (one plus one-half plus one-third plus...).

Watch on YouTube

River Crossings

Oxford Online Maths Club Season 4 Episode 5. River Crossings

In this episode, the cabbage problem. A farmer needs to get across a river with a sheep, a fox, and a cabbage; we solve the classic problem and chat about some variants.

Watch on YouTube

Hat Puzzles

Oxford Online Maths Club Season 4 Episode 4. Hat Puzzles

Three people are wearing red or blue hats; they can see each others' hats and they have to work out the colour of their own hat. We find out how in this episode.

Watch on YouTube

Liars & Tigers

Oxford Online Maths Club Season 4 Episode 3. Liars & Tigers.

Two guards stand before two doors. One always tells the truth and the other always lies. In this episode, we work out how to get the guards to tell us which door has a tiger behind it.

Watch on YouTube

Further Reading

Birthday Paradox

Oxford Online Maths Club Season 4 Episode 2. Birthday Paradox

What's the probability that two people from a group of $n$ people have the same birthday? In this episode, we find out!

Watch on YouTube

Further Reading

Lightbulb Switching

Oxford Online Maths Club Season 4 Episode 0. Lightbulb Switching

Another classic problem in this episode; we start with a thousand lightbulbs, all of which are off, and then people start switching them on and off. We'll solve the problem and discuss some variants.

Watch on YouTube

Further Reading

Domino Tilings

OOMC Season 4 Episode 0. Domino Tilings

Can we cover an 8 by 8 square with 32 dominoes (2 by 1 rectangles)? Yes we can! What if we remove two corners? In this episode we solve this problem and some variants.

Watch on YouTube

Further Reading

Season 3

Fluid Dynamics

OOMC Season 3 Episode 12. Fluid Dynamics

What's the shape of water falling from a tap? We investigate in this episode. There's also time to revisit a problem with squares from a couple of weeks ago.

Watch on YouTube

Hanging Chains

OOMC Season 3 Episode 11. Hanging Chains

Ioana shows us how to find a differential equation for a hanging chain, and solve it too!

Watch on YouTube

Bridges & Tea Cups

OOMC Season 3 Episode 10 Bridges & Tea Cups

In this episode, James works on two problems from the NRICH website.

Watch on YouTube

Changing Parameters

OOMC Season 3 Episode 9. Changing Parameters

What's a good way to describe the points inside a circle? What about ellipses? In this slightly unusual livestream, James investigates.

Watch on YouTube

Fourier Series

OOMC Season 3 Episode 8. Fourier Series

Max is on the livestream to explain what a Fourier series is, how to find one, and what to do with it once you've found it.

Watch on YouTube

Snakes & Ladders with Jacques

OOMC Season 3 Episode 7. Snakes and Ladders

Jacques has been simulating Snakes and Ladders with Python, and comparing the results with theoretical Snakes and Ladders speedrunning strategies.

Watch on YouTube

Measure Theory with Flora

OOMC Season 3 Episode 6. Measure Theory

What does it mean to measure something? Which things can we measure? And which branch of mathematics is this? Flora is on the livestream to explain!

Watch on YouTube

Further Reading

Inequalities with Ittihad

OOMC Season 3 Episode 5. Inequalities with Ittihad

Ittihad introduces inequalities, from AM-GM to the Power Mean Inequality.

Watch on YouTube

Further Reading

Tricks with Metrics with Immy

OOMC Season 3 Episode 4. Tricks with metrics

Immy defines distance and shows us some other weird metrics that satisfy that definition.

Watch on YouTube

Further Reading

Double Integration with Lucy

OOMC Season 3 Episode 3. Double Integration

Lucy joins the livestream to demonstrate something she's learning at university; Double Integration.

Watch on YouTube

Further Reading

Groups, bosons, and monsters with Jonah

OOMC Season 3 Episode 2. Groups, bosons & monsters

Jonah introduces group theory with symmetries of a square, and talks about the Higg's Boson and the Monster Group.

Watch on YouTube

Further Reading

Sums of squares

OOMC Season 3 Episode 1. Sums of squares

Dr Vicky Neale joins the stream for epsiode 1 with a problem for us; which numbers can be written as the sum of two squares?

Watch on YouTube

Further Reading

Platonic Solids

OOMC Season 3 Episode 0. Platonic Solids

We're back for Season 3! In episode 0, we had a look at the Platonic solids, and tried to prove that there are exactly five, assuming something mysterious called Euler's formula.

Watch on YouTube

Further Reading

Season 2

A few more things

OOMC Season 2 Episode 12. A few more things

In the last episode of Season 2, there are just a few more things to cover...

Watch on YouTube

Further Reading
 

Everything Wrong

OOMC Season 2 Episode 11. Everything Wrong

In this episode, James gets everything wrong. On purpose maybe? We look at the number of ways to rearrange things without getting any in their original place, and there's an extension to sets of two with an incredible answer.

Watch on YouTube

Further Reading
 

Countability with James

OOMC Season 2 Episode 10. Countability with James

In this episode, James defines what it means for a set to be countable, and proves that we can't describe most of the numbers.

Watch on YouTube

Further Reading

Interview Question with Tom

OOMC Season 2 Episode 9. Interview Question with Tom

Dr Tom Crawford, the Oxford tutor behind the YouTube channel Tom Rocks Maths, presents an interview question that he used last year. Can the people watching live solve it?

Watch on YouTube

Further Reading
 

Dotty Maths

OOMC Season 2 Episode 8. Dotty Maths

The dot product, dots for time derivatives, dots of dotted dotty vectors, dots on dominoes, and dots on dice. Has James finally gone completely dotty? Find out in this episode.

Watch on YouTube

Further Reading

Chaotic Viruses with Francesca

OOMC Season 2 Episode 7. Chaotic Viruses with Francesca

In this episode, Francesca describes the mathematics of competing virus strains, with chaotic consequences.

Watch on YouTube

Further Reading

Complex Integration

OOMC Season 2 Episode 6. Complex Integration.

Have you ever thought about what might happen if we tried to combine complex numbers and integration? In this episode, we explore what that might involve! There's a surprising link between integration, complex numbers, and logarithms

Watch on YouTube

Further Reading
 

Geometry

OOMC Season 2 Episode 5. Geometry

In this episode, James explores a geometry problem with a complicated answer, and discovers an ancient formula along the way. There's also an arithmetic problem, and a geometry puzzle based on a band logo.

Watch on YouTube

Further Reading

Functions with Aditi

OOMC Season 2 Episode 4. Functions with Aditi

In this episode, Aditi introduces the fundamentals of differentiation and integration, as they're taught on a university Maths degree. We take a look at continuous and differentiable functions, and prove the fundamental theorem of calculus.

Watch on YouTube

Further Reading

Prime Time with Ittihad

OOMC Season 2 Episode 3. Prime Time with Ittihad.

Do you like prime numbers? Do you like complex numbers? We've got both! In this episode, Ittihad explains the theory behind Gaussian Primes, which is a theory of prime numbers which are also the complex numbers. We also prove a theorem about writing real primes as the sum of two squares.

Watch on YouTube

Further Reading

PDEs with Jonah

OOMC Season 2 Episode 2. PDEs with Jonah

This week, first-year student Jonah joins us on the livestream to talk about some first-year maths; partial differential equations (PDEs). They're like normal differential equations, but with more variables, and with more directions we can take them.

Watch on YouTube

Further Reading

Penrose Tiles with Flora

OOMC Season 2 Episode 1. Penrose Tiles with Flora

Flora's back on the livestream with Penrose tiles! We'll show you why the Penrose tiling is special, how it's constructed, and why it works. There's also a bit where James and Flora try to remember the digits of pi, with mixed results.

Watch on YouTube

Further Reading

Number Theory with Vicky

OOMC Season 2 Episode 0. Number Theory with Vicky

We're back for season 2, kicking things off with some Number Theory with Dr Vicky Neale. Vicky has some numbers and some pictures of squares. Can you work out the relationship between the numbers and the squares?

Watch on YouTube

Further Reading

Season 1

More Curve Sketching with Deepak

More Curve Sketching with Deepak. y=ln(x)/x and y=(a/x)^12-(a/x)^6

After Season 1, James and Deepak met up to do some more curve sketching!

Watch on YouTube

Season 1 wrap-up

Season 1 Wrap-Up. Five people in a video call.

James, Deepak, Flora, Francesca, and Ittihad met up again to discuss Season 1 of the Oxford Online Maths Club.

Watch on YouTube

Integration with David

OOMC Season 1 Episode 12. Integration with David!

In episode 12, David introduces integration by substitution, and James sets him a challenging unseen problem.

Watch on YouTube

Further Reading

Olympiad Problems with Ittihad

OOMC Season 1 Episode 11. Olympiad Problems

In episode 11, Ittihad shows us a variety of cute olympiad-style problems!

Watch on YouTube

Further Reading

Topology with Flora

OOMC Season 1 Episode 10. Topology with Flora!

In episode 10, Flora shows us a trick with a Möbius strip that you can try at home.

Watch on YouTube

Further Reading

Primes and Triangles

OOMC Season 1 Episode 9. Primes and Triangles

In episode 9, James proves Wilson's Theorem and does some tricks with a triangle.

Watch on YouTube

Further Reading

Epidemic Maths with Francesca

OOMC Season 1 Episode 7. Epidemic Maths

In episode 8, Francesca tells us about her research on mathematical modelling of epidemics. There's also time for James to do something cryptic with knots.

Watch on YouTube

Further Reading

The Chain Rule

OOMC Season 1 Episode 7 . The Chain Rule.

In episode 7, James describes the chain rule for differentiation, including a higher-dimensional version.

Watch on YouTube

Further Reading

Testing times with Zheneng

OOMC Season 1 Episode 6. Testing times

In episode 6, Oxford DPhil student Zheneng joins us to explain hypothesis testing, and we finish some curve sketching from the previous episode.

Watch on YouTube

Further Reading

Fantastic Graphs with Deepak

OOMC Season 1 Episode 5. Fantastic Graphs.

In episode 5, Deepak presents Fantastic Graphs and Where to Find Them. We also revisit a pigeonhole principle question from episode 4.

Watch on YouTube

Further Reading

Pigeons with Christian

OOMC Season 1 Episode 4. Pigeons.

In episode 4, all the problems involve pigeons. James is joined by current student Christian to explain.

Watch on YouTube

Further Reading

Probability with Lauren

OOMC Season 1 Episode 3. Probability with Lauren.

In episode 3, we look at as some probability with Lauren (3rd year, Maths & Stats), and we approximate some functions with James.

Watch on YouTube

Further Reading

Unseen MAT with David

OOMC Season 1 Episode 2. Unseen MAT

In episode 2, we look at some unseen MAT questions with help from David (first-year student), before returning to the square problem from episode 0 and the cube problem from episode 1.

Watch on YouTube

Further Reading

Cubes and other shapes

OOMC Season 1 Episode 1. Cubes and other Shapes.

In episode 1, we talk about shapes and about watching YouTube videos quickly, and answer some of your questions.

Watch on YouTube

Further Reading

Welcome to the club

OOMC Season 1 Episode 0. Welcome to the club.

In episode 0, we solve a problem with square numbers, learn about quadratic residues, and talk about an Oxford maths interview question about cubics.

Watch on YouTube

Further Reading

More links

The STEP support programme is a great set of maths resources, even if you're not going to take the STEP exams. Start here and then work through these; if they're too easy for you, then try these or eventually these. Dr Stephen Siklos's book Advanced Problems in Mathematics: Preparing for University is great, and free.

NRICH has lots of maths problems, investigations, games, and activities.

The Maths department at Oxford has written practice problems and material to help with bridging the gap, which some colleges send out to students to look at over the summer before starting the Oxford maths degree. The Bridging the Gap material has been expanded into the book "Towards Higher Mathematics: A Companion" by Dr Richard Earl.

The maths departmental prospectus has more information about the Oxford maths and joint honours degrees.

Full details of the courses currently offered as part of the Maths degree are available here. Please note that the courses offered may change year-on-year, and course details may change. Links to courses in specific years of the Maths degree;

Note that the courses are sorted by term (Michaelmas, Hilary, and Trinity are Oxford's names for the three terms).

University College at Oxford has compiled a list of other resources, Staircase 12.

Parallel Circles

You might be interested in another Maths livestream hosted by Kyle D Evans with bestselling science author Simon Singh and Countdown champion Junaid Mubeen.

They stream on Mondays at Parallel Circles.

Please contact us for feedback and comments about this page. Last updated on 04 Aug 2022 14:02.