Proving the Erdős Primitive Set Conjecture Oxford Mathematics 2024-10-11 | Proving the Erdős Primitive Set Conjecture
Me and My Maths: Series 2 - episode 3 Oxford Mathematics 2023-09-17 | Welcome to another episode of 'Me and My Maths'. Starring: Jessica, Terry, Lena and Zoe who tell us what doing maths means for them.Me and My Maths. Short films about people who also do maths.
14 or 12? Choosing your pizza Oxford Mathematics 2023-09-10 | It's one of the hardest decisions in life. We all have to face up to it at some point. So some advice is a big help.14-inch pizza or 12? Which is the best value?Oxford Mathematician James Munro on making the best use of our dough.
Plants with teeth - the mechanics of insect-eating pitcher plants Oxford Mathematics 2023-09-07 | Who do you need to explain why insect-munching pitcher plants vary in size and shape? A botanist? Sure. But mathematicians?Yes, mathematicians.Starring Chris Thorogood, Derek Moulton, Hadrien Oliveri and Alain Goriely (in the case-study below).You can read the full research case-study here:maths.ox.ac.uk/node/64967
When did you know it was Maths? - Nikkita Oxford Mathematics 2023-09-06 | Sometimes when you know, you know.Episode 12 of 'When did you know it was Maths?' Oxford Mathematicians telling tales in school.#shortsYou can watch all the films in the series here: youtube.com/playlist?list=PL4d5ZtfQonW0Fr0y-DatepvEKBQTWiXjw
When did you know it was Maths? - Andrew Wiles Oxford Mathematics 2023-09-03 | In the days before Amazon, often the best place to track down books was the local library. Indeed, you wonder many people have been inspired by library browsing over the years.Andrew Wiles, for example.The latest episode of 'When did you know it was Maths?'#shorts You can watch all the films in the series here: youtube.com/playlist?list=PL4d5ZtfQonW0Fr0y-DatepvEKBQTWiXjw
When did you know it was Maths? - Charlotte Oxford Mathematics 2023-08-28 | You won't be surprised to hear that a book inspired one of our students to pursue mathematics. A mathematics book? Actually, no, a work of children's fiction.Let Charlotte explain in the latest episode of 'When did you know it was Maths?'You can watch all the films in the series here: youtube.com/playlist?list=PL4d5ZtfQonW0Fr0y-DatepvEKBQTWiXjw
When did you know it was Maths? - Anubhab Oxford Mathematics 2023-08-24 | As a kid in Kolkata, Anubhab enjoyed puzzles that his dad would give him. But when he went to school, maths wasn't so much fun...The latest episode of 'When did you know it was Maths?' Oxford Mathematicians explaining why it's maths for them.You can watch all the films in the series here: youtube.com/playlist?list=PL4d5ZtfQonW0Fr0y-DatepvEKBQTWiXjw
The Maths of Shrinkflation Oxford Mathematics 2023-08-20 | In times of inflation - and there is a lot of it around just now - companies like to avoid price hikes. A favourite tactic is to reduce product size while keeping the price the same. But do you know how the maths works?James Munro on the mathematical cunning of shrinkflation.
Envisioning Imagination - Roger Penrose, Carlo Rovelli and Conrad Shawcross with Fatos Ustek Oxford Mathematics 2023-08-17 | Imagination is the creative force for artists. But what about mathematicians and scientists? What part does imagination play in their work? What do the artist and the scientist have in common? And how do they envision things that will never be seen? In this panel discussion two scientists and one artist, all leaders in their field, will try to provide an answer. They have more in common than you would think. Nobel-prize winning scientist Roger Penrose is Emeritus Rouse Ball Professor in Oxford. Carlo Rovelli is a Professor in the Centre de Physique Théorique de Luminy of Aix-Marseille Université and the author of several popular science books including 'Seven Brief Lesson on Physics'. Conrad Shawcross is an artist specialising in mechanical sculptures based on philosophical and scientific ideas. His exhibition, 'Cascading Principles', is currently showing in the Mathematical Institute. The discussion is chaired by curator and writer Fatos Ustek who is the curator of the 'Cascading Principles' exhibition. The Oxford Mathematics Public Lectures and the Conrad Shawcross Exhibition are generously supported by XTX Markets.
When did you know it was Maths? - Episode 8 Oxford Mathematics 2023-08-13 | It started with a mysterious phone call (as they say in books and the movies).The latest episode of our summer series 'When did you know it was Maths?'You can watch all the films in the series here: youtube.com/playlist?list=PL4d5ZtfQonW0Fr0y-DatepvEKBQTWiXjw#shorts
The Hat: an aperiodic monotile Oxford Mathematics 2023-08-10 | This lecture and panel discussion celebrates the discovery, by 'amateur' mathematician David Smith, of a single shape that completely covers an infinitely large flat surface without repeating: the Hat (and its companion, the Spectre).Chaim Goodman-Strauss, one of the authors of the paper describing the new work, will give an overview. This will be followed by a panel discussion with Chaim, fellow author Craig Kaplan, mathematician Marjorie Senechal and Nobel Laureate Roger Penrose. The discussion is chaired by Henna Koivusalo.@OxfordMathematics
When did you know it was Maths? - Roger Penrose Oxford Mathematics 2023-08-08 | Today is Roger Penrose's 92nd birthday.To celebrate, here is his contribution to our 'When did you know it was Maths?' films in which he explains how he was very nearly lost to medicine.You can watch all the films in the series here: youtube.com/playlist?list=PL4d5ZtfQonW0Fr0y-DatepvEKBQTWiXjw
When did you know it was Maths? - Severin Oxford Mathematics 2023-08-06 | Severin was a physicist. But to solve problems in physics, he kept having to turn to maths. Time to smell the mathematical coffee.Our latest "When did you know it was Maths?' film. Stories of why mathematicians are mathematicians.You can watch all the films in the series here: youtube.com/playlist?list=PL4d5ZtfQonW0Fr0y-DatepvEKBQTWiXjw#shorts
When did you know it was Maths? - Petra Oxford Mathematics 2023-08-03 | Mathematicians know they want to study maths from the moment they can talk (or add up). Or so the cliché goes.But, as Petra explains, sometimes it takes a lot longer.Episode 5 of 'When did you know it was Maths?' You can watch all the films in the series here: youtube.com/playlist?list=PL4d5ZtfQonW0Fr0y-DatepvEKBQTWiXjw
When did you know it was Maths? - Georgia Oxford Mathematics 2023-07-30 | 2 + 2 = 4Mathematics as indisputable truth. Manchester's finest, Georgia Brennan, describes what made her a mathematician.Episode 4 of 'When did you know it was Maths?' Stories of epiphanies and gradual dawns.You can watch all the films in the series here: youtube.com/playlist?list=PL4d5ZtfQonW0Fr0y-DatepvEKBQTWiXjw
When did you know it was Maths? - Philip Oxford Mathematics 2023-07-23 | The date: 1970sThe location: Rainey Endowed School, Magherafelt, Northern IrelandThe action: a maths lessonThe talent: a young Philip MainiThe story so far: a long explanation of an oscillating pendulum...Episode 3 of our summer series 'When did you know it was Maths?'You can watch all the films in the series here: youtube.com/playlist?list=PL4d5ZtfQonW0Fr0y-DatepvEKBQTWiXjw
When did you know it was Maths? - Kate Wenqi Oxford Mathematics 2023-07-16 | "Don't it always seem to go, that you don't know what you got 'til it's gone."Not every mathematical epiphany, the moment when you decide you love maths, happens when you are young. In our second 'When did you know it was Maths' film, Kate Wenqi describes how she left maths for a career in finance, only to return when the stress was becoming too much.With apologies to Joni Mitchell from whose song 'Big Yellow Taxi' the quote comes. True about a lot of things.You can watch all the films in the series here: youtube.com/playlist?list=PL4d5ZtfQonW0Fr0y-DatepvEKBQTWiXjw
When did you know it was Maths? - Alicia Oxford Mathematics 2023-07-13 | A mathematical epiphany.Introducing our new summer series: 'When did you know it was Maths?'Starring: Oxford MathematiciansThe plot: students, researchers & professors reveal the moment when they knew that it was maths for them.Episode 1: AliciaYou can watch all the films in the series here: youtube.com/playlist?list=PL4d5ZtfQonW0Fr0y-DatepvEKBQTWiXjw#shorts
3-Minute Thesis Competition 2023 Oxford Mathematics 2023-06-29 | Six PhD students present their research on one slide in no more than 3 minutes.The competition is organised by the Oxford Mathematics SIAM-IMA Student Chapter. Winners announced at the end.Starring:Arkady Wey - Mathematical models of filtrationPatrick Nairne - Diaries, memory & embeddings of metric spacesNivedita Nivedita - Axiomatic approaches to field theory (algebraic and functional)Xu'an Dou - Blow-up time dilation: generalized solution for a Fokker-Planck equation in neuroscienceTorin Fastnedge - Fighting the fuzzYue Liu - Parameter identifiability and experimental design for PDE models of cell invasion
A world from a sheet of paper - Tadashi Tokieda Oxford Mathematics 2023-06-14 | Starting from just a sheet of paper, by folding, stacking, crumpling, sometimes tearing, Tadashi will explore a diversity of phenomena, from magic tricks and geometry through elasticity and the traditional Japanese art of origami to medical devices and an ‘h-principle’. Much of the show consists of table-top demonstrations, which you can try later with friends and family.So, take a sheet of paper. . .Tadashi Tokieda is a professor of mathematics at Stanford. He grew up as a painter in Japan, became a classical philologist (not to be confused with philosopher) in France and, having earned a PhD in pure mathematics from Princeton, has been an applied mathematician in England and the US; all in all, he has lived in eight countries so far. Tadashi is very active in mathematical outreach, notably with the African Institute for Mathematical Sciences.The Oxford Mathematics Public Lectures are generously supported by XTX Markets.
Introduction to algorithms: rootfinding & fixed-point problems - 1st Year Student Lecture Oxford Mathematics 2023-06-08 | In this lecture, part of the 'Constructive Mathematics' first year undergraduate course, Patrick introduces bisection, an algorithm for finding roots of general (non-polynomial) functions. He also discusses finding fixed points of functions and the relationship between fixed-point problems and rootfinding problems.All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
The Magic of the Primes - James Maynard and Hannah Fry Oxford Mathematics 2023-06-01 | In July 2022 Oxford Mathematician James Maynard received the Fields Medal, the highest honour for a mathematician under the age of 40, for his groundbreaking work on prime numbers. In this Oxford Mathematics Public Lecture he explains the fascinations and frustrations of the primes before sitting down with Hannah Fry to discuss his work and his life.The Oxford Mathematics Public Lectures are generously supported by XTX Markets.
How to be a Truth Detective - Tim Harford Oxford Mathematics 2023-05-23 | What do you need to tell fact from fiction? Tim Harford has some ideas.This talk, to an audience of 9-13 year-olds and their families, was part of the 2023 Oxford Maths Festival. The advice works for all ages.
Introduction to algorithms: Euclids method - Oxford Mathematics 1st Year Student Lecture Oxford Mathematics 2023-05-07 | In this lecture, the first of the 'Constructive Mathematics' first year undergraduate course, Patrick introduces algorithms, and the kinds of mathematical questions we study about them. He begins our study of algorithms with Euclid's method for computing greatest common divisors, an algorithm that has been used for 2300 years.All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
Me and My Maths: Series 2 - episode 2 Oxford Mathematics 2023-04-16 | Welcome to another episode of 'Me and My Maths'. Starring: Adam, Sofia, Edwina and Yixuan talking about their mathematical lives (and the Oxford Mathematics Fast Hat).Me and My Maths. Short films about people who also do maths.
Fermats Last Tango (with subtitles) Oxford Mathematics 2023-03-30 | Fermat's Last Tango, written in 2000 by Joanne Sydney Lessner and Joshua Rosenblum tells the story, in words and music, of a 300 hundred-year-old mathematical mystery and the man who spent seven years trying to solve it.This version was performed in early March 2023 by Oxford Mathematics students and fellow students from across the University. The venue was a lecture theatre in the Andrew Wiles Building, home to Oxford Mathematics and named after the mathematician who is the subject of the story.Subtitles available via the subtitles icon.Filmed and edited by Steve Pierce at Oxford Film Shed.
The Heat Equation: Lecture 4 - Oxford Mathematics 1st Year Student Lecture Oxford Mathematics 2023-03-16 | The heat equation, also known as the diffusion equation, is central to many areas in applied mathematics. In this series of four lectures - this is the fourth - forming part of the first year undergraduate mathematics course, 'Fourier Series and PDEs', the heat equation is derived and the boundary value problem is solved using the method of separation of variables.Students are then shown how they can use the theory of Fourier series, taught in the preceding lectures, to solve the initial value problem. The behaviour of the solutions is discussed mathematically and in the context of physical applications.All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
Cascading Principles - Conrad Shawcross, Martin Bridson and James Sparks with Fatos Ustek Oxford Mathematics 2023-03-09 | Whether a mathematician or an artist, when you begin you often don't know where you'll end up.In this fascinating discussion artist Conrad Shawcross and mathematicians Martin Bridson and James Sparks explore connections between mathematics and art. An exhibition of Conrad's mathematically inspired work, curated by Fatos Ustek, chair of this discussion, is showing in the Andrew Wiles Building, home to Oxford Mathematics, until October 2023.You can read more about the exhibition via this link: maths.ox.ac.uk/node/61184The Oxford Mathematics Public Lectures and the Conrad Shawcross exhibition are generously supported by XTX Markets.
The Heat Equation: Lecture 3 - Oxford Mathematics 1st Year Student Lecture Oxford Mathematics 2023-03-05 | The heat equation, also known as the diffusion equation, is central to many areas in applied mathematics. In this series of four lectures - this is the third - forming part of the first year undergraduate mathematics course, 'Fourier Series and PDEs', the heat equation is derived and the boundary value problem is solved using the method of separation of variables.Students are then shown how they can use the theory of Fourier series, taught in the preceding lectures, to solve the initial value problem. The behaviour of the solutions is discussed mathematically and in the context of physical applications.All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
The Heat Equation: Lecture 2 - Oxford Mathematics 1st Year Student Lecture Oxford Mathematics 2023-02-26 | The heat equation, also known as the diffusion equation, is central to many areas in applied mathematics. In this series of four lectures - this is the second - forming part of the first year undergraduate mathematics course, 'Fourier Series and PDEs', the heat equation is derived and the boundary value problem is solved using the method of separation of variables.Students are then shown how they can use the theory of Fourier series, taught in the preceding lectures, to solve the initial value problem. The behaviour of the solutions is discussed mathematically and in the context of physical applications.All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
The Heat Equation: Lecture 1 - Oxford Mathematics 1st Year Student Lecture Oxford Mathematics 2023-02-20 | The heat equation, also known as the diffusion equation, is central to many areas in applied mathematics. In this series of four lectures - this is the first - forming part of the first year undergraduate mathematics course, 'Fourier Series and PDEs', the heat equation is derived and the boundary value problem is solved using the method of separation of variables. Students are then shown how they can use the theory of Fourier series, taught in the preceding lectures, to solve the initial value problem. The behaviour of the solutions is discussed mathematically and in the context of physical applications.All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
Me and My Maths: Series 2 - episode 1 Oxford Mathematics 2023-02-09 | Welcome to the second series of our short films, 'Me and My Maths', where Oxford Mathematicians talk about maths and things.Starring: Kylie and Chloe, Andrea, Doyne, and Kate Wenqi.Me and My Maths. Short films about people who also do maths.
Research Stories - Series 3 Oxford Mathematics 2023-01-28 | Welcome to the third in a series of films where our researchers talk about their latest work in two minutes or less. In this series you can watch:Marieke van Beest - Non-perturbative Quantum Field Theories (case study below) maths.ox.ac.uk/node/41103Ian Griffiths - COVID-19 modelling: rapidly predicting the spatially varying infection risk indoors from airborne transmissionmaths.ox.ac.uk/node/41517Ross Zhang - Understanding Navier-StokesSolveig van der Vegt - Mathematical modelling of autoimmune myocarditismaths.ox.ac.uk/node/60777Jagoda Kaszowska-Mojsa - Assessing the COVID-19 prevention and control schemesmaths.ox.ac.uk/node/41122
Introduction to University Mathematics: Lecture 8 - Oxford Mathematics 1st Year Student Lecture Oxford Mathematics 2023-01-12 | This course is taken in the first two weeks of the first year of the Oxford Mathematics degree. It introduces the concepts and ways of mathematical thinking that students need in the years ahead. Much of the context will be familiar from high school but the way we think and write about it, and construct arguments and proofs, will be more rigorous.In summary it is a recap and a pointer to what is to come for our students. We are showing the whole course over eight lectures. This is the eighth and final lecture in which Ian is problem solving.All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
Introduction to University Mathematics: Lecture 7 - Oxford Mathematics 1st Year Student Lecture Oxford Mathematics 2023-01-06 | This course is taken in the first two weeks of the first year of the Oxford Mathematics degree. It introduces the concepts and ways of mathematical thinking that students need in the years ahead. Much of the context will be familiar from high school but the way we think and write about it, and construct arguments and proofs, will be more rigorous.In summary it is a recap and a pointer to what is to come for our students. We are showing the whole course over eight lectures. This is Lecture 7 and looks at constructing statements and proofs.All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
Anyone for a mince pi? Mathematical modelling of festive foods Oxford Mathematics 2022-12-20 | For bread, think steering wheels. For custard, think toothpaste. Helen Wilson displays mathematical modelling's marvellous ubiquity in our Oxford Mathematics Christmas Public Lecture.Helen Wilson is Head of the Department of Mathematics at UCL. She is best known for her work on the chocolate fountain (which features in this lecture) but does do serious mathematical modelling as well.The Oxford Mathematics Public Lectures are generously supported by XTX Markets.
Oxford Mathematics Postgraduate Open Day Oxford Mathematics 2022-12-08 | Postgraduate life? Working at your preferred pace on the maths you love, or periods of frustration demanding much persistence?Probably a bit of both. At our Postgraduate Open Day you can hear from students & faculty with talks on:Why do a doctorate?Life as a PhD/DPhil studentChoosing a field of studyThe statement of purposeThe interview processOverview of our MSc programmesIf you want to know more about postgraduate study at Oxford follow this link: maths.ox.ac.uk/study-here/postgraduate-study
Introduction to University Mathematics: Lecture 6 - Oxford Mathematics 1st Year Student Lecture Oxford Mathematics 2022-12-04 | This course is taken in the first two weeks of the first year of the Oxford Mathematics degree. It introduces the concepts and ways of mathematical thinking that students need in the years ahead. Much of the context will be familiar from high school but the way we think and write about it, and construct arguments and proofs, will be more rigorous.In summary it is a recap and a pointer to what is to come for our students. We are showing the whole course over eight lectures. This is Lecture 6 and looks at logical notation and quantifiers.All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
Introduction to University Mathematics: Lecture 5 - Oxford Mathematics 1st Year Student Lecture Oxford Mathematics 2022-11-27 | This course is taken in the first two weeks of the first year of the Oxford Mathematics degree. It introduces the concepts and ways of mathematical thinking that students need in the years ahead. Much of the context will be familiar from high school but the way we think and write about it, and construct arguments and proofs, will be more rigorous.In summary it is a recap and a pointer to what is to come for our students. We are showing the whole course over eight lectures. This is Lecture 5 and looks at functions.All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
A Mathematicians Guide to the World Cup Oxford Mathematics 2022-11-17 | In 2010 Paul the Octopus 'correctly' predicted results in the 2010 World Cup. However, these days the experts are the analysts who trawl through the reams of data about players and teams. And where there is data there is mathematics. And, particularly, mathematical models.Joshua Bull is a mathematical modeller. He was also the winner of the 2020 Fantasy Football competition from over eight million entrants. So when it came to the Oxford Mathematics 2022 World Cup predictor, Josh fitted the bill perfectly. Honing in on the data, applying his modelling skills, and adding a pinch of the assumptions that inform modelling (disclaimer: he is an Ipswich Town fan), Josh has come up with the answers - or rather, likely outcomes. See what you think.PS: some people have commented that Josh has got the last 16 wrong because those combinations cannot come out of the groups. However, he explicitly says in the video that this is an overall prediction not a specific one. For a specific one and more forecasts and thoughts, please go to our social media pages via this link: maths.ox.ac.uk for links).
Introduction to University Mathematics: Lecture 4 - Oxford Mathematics 1st Year Student Lecture Oxford Mathematics 2022-11-13 | This course is taken in the first two weeks of the first year of the Oxford Mathematics degree. It introduces the concepts and ways of mathematical thinking that students need in the years ahead. Much of the context will be familiar from high school but the way we think and write about it, and construct arguments and proofs, will be more rigorous.In summary it is a recap and a pointer to what is to come for our students. We are showing the whole course over eight lectures. This is Lecture 4 and looks at relations and equivalence relations.All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
Signatures of Streams - Terry Lyons Oxford Mathematics 2022-11-09 | A calculator processes numbers without caring that these numbers refer to items in our shopping, or the calculations involved in designing an airplane. Number without context is a remarkable abstraction that we learn as infants and which has profoundly affected our world.Our lives start, progress in complex ways, and are finally complete. So do tasks executed on a computer. Multimodal streams are a pervasive “type”, and even without fixing the context, have a rich structure. Developing this structure leads to wide-ranging tools that have had award-winning impact on methodology in health care, finance, and computer technology.Terry Lyons is Professor of Mathematics in Oxford and a Fellow of St Anne's College. His research is supported through the DataSig and Cimda-Oxford programmes.The Oxford Mathematics Public Lectures are generously supported by XTX Markets.
Introduction to University Mathematics: Lecture 3 - Oxford Mathematics 1st Year Student Lecture Oxford Mathematics 2022-11-06 | This course is taken in the first two weeks of the first year of the Oxford Mathematics degree. It introduces the concepts and ways of mathematical thinking that students need in the years ahead. Much of the context will be familiar from high school but the way we think and write about it, and construct arguments and proofs, will be more rigorous.In summary it is a recap and a pointer to what is to come for our students. We are showing the whole course over eight lectures. This is Lecture 3 and continues the previous lecture's look at sets, and specifically algebra of sets, truth tables and cardinality.All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
MAT (Oxford Mathematics Admissions Test) 2022 in 10 minutes or less Oxford Mathematics 2022-11-03 | Yesterday over 5000 applicants took the Mathematics Admissions Test, the entrance test used for undergraduate mathematics at Oxford, and other courses at Oxford and other universities. It's a 2 1/2 hour exam. Here Dr James Munro gives you all the answers in 10 minutes or less.Correction: in Q6 (iii) the binary tree that's drawn on screen is missing an influencer in the top-right. This has been corrected in the thumbnail of the video. And don't worry, we've told James that he made a mistake.More MAT resources at http://www.maths.ox.ac.uk/r/matThe MAT is used by Oxford Mathematics to help us decide which candidates to invite for interview.More like this on our second channel:youtube.com/c/OxfordMathematicsPlus
Introduction to University Mathematics: Lecture 2 - Oxford Mathematics 1st Year Student Lecture Oxford Mathematics 2022-10-26 | This course is taken in the first two weeks of the first year of the Oxford Mathematics degree. It introduces the concepts and ways of mathematical thinking that students need in the years ahead. Much of the context will be familiar from high school but the way we think and write about it, and construct arguments and proofs, will be more rigorous.In summary it is a recap and a pointer to what is to come for our students. We are showing the whole course over eight lectures. This is Lecture 2 and focuses on the binomial theorem and sets.All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
Introduction to University Mathematics: Lecture 1 - Oxford Mathematics 1st Year Student Lecture Oxford Mathematics 2022-10-19 | This course is taken in the first two weeks of the first year of the Oxford Mathematics degree. It introduces the concepts and ways of mathematical thinking that students need in the years ahead. Much of the context will be familiar from high school but the way we think and write about it, and construct arguments and proofs, will be more rigorous.In summary it is a recap and a pointer to what is to come for our students. We are showing the whole course over eight lectures. This is Lecture 1 and focuses on the natural numbers and induction. All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
The million-dollar shuffle: symmetry and complexity - Colva Roney-Dougal Oxford Mathematics 2022-10-12 | Oxford Mathematics Public Lecture: In 1936, Alan Turing proved the startling result that not all mathematical problems can be solved algorithmically. For those which can be, we still do not always know when there's a clever technique which could give us the answer quickly. In particular, the famous "P = NP" question asks whether, for problems where the correct solution has a proof which can easily be checked, in fact there's a quick way to find the answer.Many difficult problems become easier if they have symmetries: finding the shortest route to deliver many parcels would be easy if all the houses were neatly arranged in a circle. This lecture explores the interactions between symmetry and complexity.Colva Roney-Dougal is Professor of Pure Mathematics at the University of St Andrews and Director of the Centre for Interdisciplinary Research in Computational Algebra.The Oxford Mathematics Public Lectures are generously supported by XTX Markets.
An Oxford Mathematics Graduate Supervision - Geometry and Physics in 7 Dimensions Oxford Mathematics 2022-10-02 | So how do supervisor & graduate student work together? What happens in a graduate supervision?To find out, we filmed a supervision. Introducing Professor Jason Lotay & graduate student Izar Alonso Lorenzo as they discuss geometry in seven dimensions related to special holonomy, gauge theory and heterotic String Theory.
A Mathematical Journey through Scales - Martin Hairer Oxford Mathematics 2022-09-22 | Oxford Mathematics Public LectureThe tiny world of particles and atoms and the gigantic world of the entire universe are separated by about forty orders of magnitude. As we move from one to the other, the laws of nature can behave in drastically different ways, sometimes obeying quantum physics, general relativity, or Newton’s classical mechanics, not to mention other intermediate theories.Understanding the transformations that take place from one scale to another is one of the great classical questions in mathematics and theoretical physics, one that still hasn't been fully resolved. In this lecture, we will explore how these questions still inform and motivate interesting problems in probability theory and why so-called toy models, despite their superficially playful character, can sometimes lead to certain quantitative predictions.Professor Martin Hairer is Professor of Pure Mathematics at Imperial College London. He was awarded the Fields Medal in 2014.
Me and My Maths - Episode 3 Oxford Mathematics 2022-08-07 | Mathematical Biology, Number Theory and Geometric Group Theory feature in Episode 3 of 'Me and My Maths' as Oxford Mathematicians Becky Crossley, Jared Duker Lichtman and Alice Kerr discuss what they do and why it gets them out of bed in the morning. Check out the two other episodes via our playlists, and watch Jared talking about his brilliant proof, earlier this year, of the Erdős primitive set conjecture in this video: youtube.com/watch?v=c81ilGlIH1I
