Making Mathematical Art with L-Systems Tom Rocks Maths 2026-09-23 | Making Mathematical Art with L-Systems
Mordell Conjecture with Gerd Faltings (1986 Fields Medal) Tom Rocks Maths 2024-10-13 | University of Oxford Mathematician Dr Tom Crawford interviews Professor Gerd Faltings of the Max Planck Institute about his work that led to him being awarded the Fields Medal in 1986.Gerd shares the story of how he learned he was to receive the prize, why he decided to move back to Germany from the US, and his advice for any students interested in the field of Arithmetic Geometry. Recorded at the 11th Heidelberg Laureate Forum, September 2024: heidelberg-laureate-forum.org Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths A HUGE thank you to all of my patrons for their support:Dr Peet MorrisJeryagorJohn FlynnJohn HansonRodhernDeniseCooper HealyHiroDelicious RoseBin LiuCheck out the Tom Rocks Maths Patreon page here: patreon.com/tomrocksmaths
The 3D Shape with 1 Side - Klein Bottles Tom Rocks Maths 2024-09-29 | Moira Chas, Mathematical Artists and Professor @stonybrooku explains two alternative visualisations of a Klein Bottle to Oxford Mathematician Dr Tom Crawford. Use code "tomrocksmaths" at the link below to get an exclusive 60% off an annual Incogni plan: incogni.com/tomrocksmathsFind out more about Moira's work at the following links:Academic Profile - https://www.math.stonybrook.edu/~moira/Art - moirart.orgInstagram - instagram.com/moirart33Recorded at the 2024 Heidelberg Laureate Forum: heidelberg-laureate-forum.orgThanks to Jos Leys for the visualisations - used under a Creative Commons licence. Links to the original videos below.Two Moebius bands make a Klein bottle: youtube.com/watch?v=a5Azcwe9p4oThe Klein bottle: youtube.com/watch?v=yaeyNjUPVqsThe figure 8 Klein bottle: youtube.com/watch?v=rnWyTRpmzKQProduced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths A HUGE thank you to all of my patrons for their support:Dr Peet MorrisJeryagorJohn FlynnJohn HansonRenRenDeniseCooper HealyHiroDelicious RoseBin LiuCheck out the Tom Rocks Maths Patreon page here: patreon.com/tomrocksmaths
Oxford University Maths Admissions Test 2023 Question 10 Tom Rocks Maths 2024-09-19 | University of Oxford Mathematician Dr Tom Crawford answers each Oxford Maths Admissions Test question in under 60 seconds. This is Q10 from the 2023 MAT.Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.comYou can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmathstwitter.com/tomrocksmathsinstagram.com/tomrocksmathsSupport Tom's work via Patreon here: patreon.com/tomrocksmaths
Oxford University Maths Admissions Test 2023 Question 9 Tom Rocks Maths 2024-09-16 | University of Oxford Mathematician Dr Tom Crawford answers each Oxford Maths Admissions Test question in under 60 seconds. This is Q9 from the 2023 MAT.Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.comYou can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmathstwitter.com/tomrocksmathsinstagram.com/tomrocksmathsSupport Tom's work via Patreon here: patreon.com/tomrocksmaths
Oxford University Maths Admissions Test 2023 Question 8 Tom Rocks Maths 2024-09-12 | University of Oxford Mathematician Dr Tom Crawford answers each Oxford Maths Admissions Test question in under 60 seconds. This is Q8 from the 2023 MAT.Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.comYou can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmathstwitter.com/tomrocksmathsinstagram.com/tomrocksmathsSupport Tom's work via Patreon here: patreon.com/tomrocksmaths
Oxford University Maths Admissions Test 2023 Question 7 Tom Rocks Maths 2024-09-11 | University of Oxford Mathematician Dr Tom Crawford answers each Oxford Maths Admissions Test question in under 60 seconds. This is Q7 from the 2023 MAT.Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.comYou can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmathstwitter.com/tomrocksmathsinstagram.com/tomrocksmathsSupport Tom's work via Patreon here: patreon.com/tomrocksmaths
Oxford University Mathematician REACTS to 9 Math Riddles Thatll Stump Even Your Smartest Friends Tom Rocks Maths 2024-09-08 | Dr Tom Crawford - Mathematician at the University of Oxford and the University of Cambridge - reacts to one of the most popular 'Math' videos on YouTube, with over 13 million views: "9 Math Riddles That'll Stump Even Your Smartest Friends".Watch the original video here: youtube.com/watch?v=r5P-f5arPXE*The copyright of the original video is the property of Bright Side. The footage is shown here under a fair usage policy.Watch Tom react to Alan Becker's videos at the links below.Animation vs. Math: youtube.com/watch?v=B1J6Ou4q8vEAnimation vs. Physics: youtube.com/watch?v=ErMSHiQRnc8Animation vs. Geometry: youtu.be/hIS_0zAiNiYWatch Tom take a variety of high school maths exams from around the world on the designated playlist here: youtube.com/playlist?list=PLMCRxGutHqfm3t0IVJabEab6OasV9WLrl Watch Tom on 'Numberphile' here: youtube.com/watch?v=oSXVmuNIfRI&list=PLt5AfwLFPxWJ2TNTA79reKQ6S88kTvDR- Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.ukFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths A HUGE thank you to all of my patrons that make this possible:Dr Peet MorrisSymmetrikJeryagorJohn FlynnJohn HansonRenRenDeniseCooper HealyHiroCheck out the Tom Rocks Maths Patreon page here: patreon.com/tomrocksmaths
Oxford University Maths Admissions Test 2023 Question 6 Tom Rocks Maths 2024-09-02 | University of Oxford Mathematician Dr Tom Crawford answers each Oxford Maths Admissions Test question in under 60 seconds. This is Q6 from the 2023 MAT.Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.comYou can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmathstwitter.com/tomrocksmathsinstagram.com/tomrocksmathsSupport Tom's work via Patreon here: patreon.com/tomrocksmaths
Oxford University Maths Admissions Test 2023 Question 5 Tom Rocks Maths 2024-09-01 | University of Oxford Mathematician Dr Tom Crawford answers each Oxford Maths Admissions Test question in under 60 seconds. This is Q5 from the 2023 MAT.Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.comYou can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmathstwitter.com/tomrocksmathsinstagram.com/tomrocksmathsSupport Tom's work via Patreon here: patreon.com/tomrocksmaths
Oxford University Maths Admissions Test 2023 Question 4 Tom Rocks Maths 2024-08-30 | University of Oxford Mathematician Dr Tom Crawford answers each Oxford Maths Admissions Test question in under 60 seconds. This is Q4 from the 2023 MAT.Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.comYou can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmathstwitter.com/tomrocksmathsinstagram.com/tomrocksmathsSupport Tom's work via Patreon here: patreon.com/tomrocksmaths
Oxford University Maths Admissions Test 2023 Question 3 Tom Rocks Maths 2024-08-29 | University of Oxford Mathematician Dr Tom Crawford answers each Oxford Maths Admissions Test question in under 60 seconds. This is Q3 from the 2023 MAT.Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.comYou can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmathstwitter.com/tomrocksmathsinstagram.com/tomrocksmathsSupport Tom's work via Patreon here: patreon.com/tomrocksmaths
I teach at BOTH Oxford and Cambridge University Tom Rocks Maths 2024-08-28 | Very excited to announce my new role at Robinson College at the University of Cambridge, where I will be teaching the first and second year maths undergraduates, alongside the continuation my role at the University of Oxford Department for Continuing Education. Check out the newly launched Tom Rocks Maths Patreon page here: patreon.com/tomrocksmathsEnrolment is now open for the two certified Oxford University online courses I will be teaching in 2025. More information (including how to sign-up) at the links below.Intermediate Linear Algebra: conted.ox.ac.uk/courses/intermediate-linear-algebra?code=O24P768MAZ Intermediate Calculus: conted.ox.ac.uk/courses/calculus-intermediate?code=O24P767MAZThumbnail images:King’s College Cambridge by Dmitriy Tonkonog. License CC 3.0Radcliffe Camera by by DAVID ILIFF. License: CC BY-SA 3.0Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.comYou can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmathstwitter.com/tomrocksmathsinstagram.com/tomrocksmaths
Oxford University Maths Admissions Test 2023 Question 2 Tom Rocks Maths 2024-08-26 | University of Oxford Mathematician Dr Tom Crawford answers each Oxford Maths Admissions Test question in under 60 seconds. This is Q2 from the 2023 MAT.Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.comYou can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmathstwitter.com/tomrocksmathsinstagram.com/tomrocksmathsSupport Tom's work via Patreon here: patreon.com/tomrocksmaths
Oxford University Maths Admissions Test 2023 Question 1 Tom Rocks Maths 2024-08-25 | University of Oxford Mathematician Dr Tom Crawford answers each Oxford Maths Admissions Test question in under 60 seconds. This is Q1 from the 2023 MAT.Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.comYou can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmathstwitter.com/tomrocksmathsinstagram.com/tomrocksmathsSupport Tom's work via Patreon here: patreon.com/tomrocksmaths
Oxford University Mathematician takes Oxford PHYSICS Admissions Test (PAT) - with @zhelyo_physics Tom Rocks Maths 2024-08-04 | University of Oxford Mathematician Dr Tom Crawford is challenged by Zhelyo from @zhelyo_physics to try some questions from the Oxford Physics Admissions Test (PAT). The exam is taken by students applying for undergraduate Physics at the University of Oxford. Part 2 where Zhelyo tries some questions from the Oxford Maths Admissions Test (MAT) set by Tom is here: youtube.com/watch?v=Q6SCglxjRFQThe questions featured in the video are taken from the 2018 Oxford Physics Admissions Test. You can download the exam paper for yourself here: tomrocksmaths.com/wp-content/uploads/2024/08/pat-2018.pdfThe questions covered in the video are as follows:Q1-10: multiple choiceQ18: gravitational forceProduced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.comYou can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmathstwitter.com/tomrocksmathsinstagram.com/tomrocksmathsWith thanks toZhelyo @zhelyo_physics St Edmund HallUniversity of Oxford Department for Continuing EducationFreesound: Rich Craft ChimeFreesound: Suicdxsaturday
Maths Speed Dating @phdwithkatie - Oxford PhD Student Tom Rocks Maths 2024-07-26 | Oxford Mathematician Dr Tom Crawford chats to @phdwithkatie - a PhD student studying the impact of Amazon communities on rainforest ecosystems.Full list of questions with timestamps3:33 - If you could have 3 wishes, what would they be?6:00 - Where is your favourite place in Oxford?7:56 - Do you have any nicknames?9:50 - Did you have any pets growing up?12:36 - Do you snore?14:20 - If you could live anywhere in the world where would it be?16:44 - Exploring or lazing on the beach?17:30 - Do you have a favourite number?19:24 - What colour best describes your personality?20:55 - What do you like to do most in your free time?24:30 - What YouTube channels do you watch?29:25 - If I gave you £10,000 how would you spend it?31:19 - What are you currently listening to?33:03 - If you were to advertise yourself on a billboard, what would your question be?35:16 - DIY or call an expert?37:49 - Do you have a favourite puzzle?39:10 - Do you have a favourite Millennium Problem?42:06 - What are you currently watching?45:55 - If you were an animal, what would you be and why?48:19 - If you could invite anyone dead or alive to dinner, who would it be?50:07 - What time in history would you have liked to be born in, and why?55:01 - What is the best fan mail you have ever received?COMING SOONAll images used under a 'fair use' policy. Copyright remains with the respective owners.Subscribe to Katie's YouTube channel here: @phdwithkatie And on Instagram here: instagram.com/phdwithkatieWatch more in the 'Maths Speed Dating' series at the links below.CS50's David Malan: youtu.be/b89yryoCELURachel Riley: youtu.be/WIQt7vf3vvU Grant Sanderson @3blue1brown : youtube.com/watch?v=Xh2LVy7B5q0Mike Boyd @MikeBoyd : youtu.be/BQnQsa-VDegSimon Clark @SimonClark : youtube.com/watch?v=W0vqiWir0-0 Mathemaniac @mathemaniac : youtu.be/RrMkTF-EE0MDorfuchs @DorFuchs : youtube.com/watch?v=nKr7NQJ_kM0Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department for Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths With thanks toKatie HutchinsonOxford UniversitySt Edmund HallOxford University Department of Continuing EducationLuxury and Travel: youtube.com/watch?v=AXnE1HHY16A The Oxford MagazineReddit - BabyCerealNugget: reddit.com/r/spongebob/comments/dlvmy0/my_aquarium/#lightboxEventologistsMike BoydScrewfixIMDB / FoxNetflixPrime VideoD. Gordon E. RobertsonDorian SchusterWellcome TrustAnagoria
Oxford University Mathematician REACTS to Animation vs. Geometry Tom Rocks Maths 2024-07-05 | Oxford Mathematician Dr Tom Crawford watches @alanbecker's "Animation vs. Geometry" for the very first time. Watch the original video here: youtube.com/watch?v=VEJWE6cpqw0*The copyright of the original video is the property of Alan Becker. The footage is shown here under a fair usage policy.Watch Tom react to the first 2 videos in the series at the links below.Animation vs. Math: youtube.com/watch?v=B1J6Ou4q8vEAnimation vs. Physics: youtube.com/watch?v=ErMSHiQRnc8Watch Tom take a variety of high school maths exams from around the world on the designated playlist here: youtube.com/playlist?list=PLMCRxGutHqfm3t0IVJabEab6OasV9WLrl Watch Tom on 'Numberphile' here: youtube.com/watch?v=oSXVmuNIfRI&list=PLt5AfwLFPxWJ2TNTA79reKQ6S88kTvDR- Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.ukFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here: beautifulequations.net/collections/tom-rocks-maths
Van der Waerdens Theorem - Finding Patterns in Sets Tom Rocks Maths 2024-06-23 | TRM intern Rebekah Glaze explains Van der Waerden's Theorem on the existence of Arithmetic Progressions in sets, using the example of strings of coloured beads.We begin by looking at the specific case of 2 colours, where we are trying to guarantee a pattern of 3 beads of the same colour which are equally spaced. This is then generalised to n colours, and a pattern of length k, which is the statement of Van der Waerden's Theorem. The case of 3 colours (n=3), and arithmetic progressions of length 3 (k=3), is then shown to be true via a proof by construction. The length of chain used in the proof is much larger than the minimum required, but as the theorem only requires the existence of a sufficiently long chain, our proof suffices. The question of finding the minimum length of chain for specific cases of n colours, and arithmetic progression length k, remains an unsolved problem apart from in a handful of cases.The content in the video was inspired by a lecture from Prof. Imre Leader at the University of Cambridge.Produced by TRM intern Rebekah Glaze with assistance from Dr Tom Crawford. Rebekah is a second year mathematics undergraduate at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordIf you would like to take part in the Tom Rocks Maths intern scheme, please get in touch using the contact form on the TRM website: tomrocksmaths.com/contact You can find more videos made by interns working with Tom on the designated playlist here: youtube.com/playlist?list=PLMCRxGutHqfn8YkbswsI3HDOaVQDUTZMpFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here:beautifulequations.net/collections/tom-rocks-maths
Maths of Glaciers - Svalbard and Nonlinear Wave Equations Tom Rocks Maths 2024-06-16 | Oxford Mathematician Dr Tom Crawford derives a mathematical model for the flow of ice in glaciers, which leads to the nonlinear wave equation. Featuring footage of glaciers filmed on location in Svalbard.The model begins by considering the mass flux through a small 2D segment of the glacier. Taking the limit as the size of the segment tends to zero, we arrive at the conservation of mass equation given in terms of the glacier height, the mass flux of ice, and the accumulation rate.To determine an equation for the mass flux we use at the Navier-Stokes momentum equation and apply conditions for a non-Newtonian fluid. Due to the small Reynolds Number we are able to neglect the inertial terms, and solve the resulting system for the stress. Finally, we apply Glen's Flow Law to obtain the flux in terms of the glacier height. Substituting this back into the mass equation gives the final governing equation in the form of a nonlinear wave equation. Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordCheck out more in the 'Maths on Tour' series at the links below.Ancient Egypt: youtube.com/watch?v=lX_f5oB83YIJantar Mantar Jaipur: youtube.com/watch?v=q84DUrXJ3xEDinosaurs: youtube.com/watch?v=yj5UQCRFbp4For more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here: beautifulequation.com/collections/tom-rocks-mathsWith thanks toIan Hewitt's lecture notesOxford UniversityOxford University Department for Continuing EducationCADARN: youtube.com/watch?v=IRrcaHQZi5I
The Maths of the Solar System - Aristarchus and Jantar Mantar Tom Rocks Maths 2024-06-09 | Oxford Mathematician Dr Tom Crawford visits Jantar Mantar in Jaipur, India, and explains the ancient calculations of Aristarchus of Samos in his seminal work "On the Sizes and Distances (of the Sun and Moon)".The video begins with a history of Jantar Mantar in Jaipur, and a tour of the many instruments used for astronomical measurements. We then look at the history of heliocentrism and the begin an exploration of the work of Aristarchus. The first calculation relates to the relative distances of the Sun and the Moon from the Earth. Using simple trigonometry at a 'Half-Moon' we obtain the same estimates for the distances as Aristarchus. The second calculation is more involved and looks at the relative sizes of the Sun and Moon in comparison to the Earth. This requires the use of the properties of similar triangles during a Lunar Eclipse. We also use the fact that during a total eclipse, the sun and moon take up the same proportion of the sky, which means the ratios of their sizes relative to the Earth, is the same as that of their distances from Earth. Finally, we end with a discussion of the translation of the work of Aristarchus and how his calculations may in fact have been much more accurate than first thought...Useful links for more information / resources:Zij-i-Muhammed Shahi: raymondm.co.uk/20005abd_143.pdfGeocentric model animation: youtube.com/watch?v=VSeN6ZB1wqATranslation of Aristarchus' work: archive.org/details/aristarchusofsam00heatuoft/page/414/mode/2up?view=theaterMeasuring the relative size of the Earth and the Moon at home: https://websites.umich.edu/~lowbrows/astrophotos/alway/lunareclipse.html#:~:text=And%20the%20angular%20size%20of,%2B%202%20%3D%204.8%20Moon%20diametersProduced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here: beautifulequation.com/collections/tom-rocks-mathsWith thanks toChuck Creager Jr.Scritch314
University of Oxford Maths Fan Online Lecture Series Tom Rocks Maths 2024-05-21 | Get your tickets - only £55 for all 5 talks - here: conted.ox.ac.uk/courses/maths-fan-online-lecture-seriesEach speaker will give a 1-hour pre-recorded lecture, which will be live-streamed (with an interactive element) each week at 7-8.30pm BST (UTC+1). All the lectures will then remain available to review until Thursday 11 July. The full programme is outlined below.7pm (GMT+1) Thursday 6 June 2024The equation that ruined my life (for four years)Simon Clark @SimonClark Most of my PhD was spent bashing my head against a brick wall of how to solve one, deceptively simple, equation. How hard can it be to disentangle the influence of different parts of the atmosphere on the surface? In order to answer that question, I will introduce you to the basics of atmospheric dynamics, numerical problem solving, and how a PhD teaches you to think like a scientist (and own your mistakes).7pm (GMT+1) Thursday 13 June 2024"I wasn't expecting that..."Rob EastawayAs humans we depend on our intuition to make many of our decisions. And most of the time it works. But when intuition doesn’t work it can go spectacularly wrong. Rob Eastaway reveals some of his favourite examples, including several that relate to everyday situations, and reflects on why mathematicians so often seem to delight in the counter-intuitive. Brace yourself for some surprises... and be prepared to get things wrong.7pm (GMT+1) Thursday 20 June 2024How to get rich quickSophie MacleanFrom fairground games to the stock market, knowing what will happen is a great advantage. In this session, Sophie gives an introduction to the world of finance and shares some of the Maths she used working as a trader.7pm (GMT+1) Thursday 27 June 2024Alan Turing and the Enigma MachineJames Grime @singingbanana Alan Turing is best remembered as one of the leading code breakers of Bletchley Park during World War II. It was Turing's brilliant insights and mathematical mind that helped to break Enigma, the apparently unbreakable code used by the German military. We present a history of both Alan Turing and the Enigma machine, leading to this triumph of mathematical ingenuity.7pm (GMT+1) Thursday 4 July 2024Pokemaths: the maths of the video gameTom CrawfordHow many Pikachus does it take to power a lightbulb? How much do you need to feed your pet Charizard? And why does the world of Pokémon seem to ignore the basic laws of physics? Dr Tom Crawford looks at the maths of one of the world’s favourite video games.Tickets here: conted.ox.ac.uk/courses/maths-fan-online-lecture-seriesProduced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here: beautifulequation.com/collections/tom-rocks-maths
Playing Lewis Carrolls Game of Logic on the ORIGINAL 150 YEAR OLD BOARD Tom Rocks Maths 2024-05-02 | Oxford Mathematician Dr Tom Crawford is joined by fellow YouTuber James Grime to play an original version of Lewis Carroll's Game of Logic. If only they can first deduce the rules...Filmed at St Edmund Hall at the University of Oxford, where the book is located. Thanks to Heather the librarian for giving us access.Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordCheck out James' channel @singingbanana.Watch Tom and James talk about their favourite pieces of Maths on @numberphile. Read the book for yourself here: archive.org/details/gameoflogic00carrrich/mode/2upFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here: beautifulequation.com/collections/tom-rocks-maths
Oxford University Mathematician takes Australian High School Maths Exam Tom Rocks Maths 2024-04-12 | University of Oxford Mathematician Dr Tom Crawford sits the HSC Mathematics Standard paper taken by high school students in Australia. The paper in the video is the 2023 version of the exam from the New South Wales region. You can download the exam paper and mark scheme for yourself at the links below.2023 Standard Maths: tomrocksmaths.files.wordpress.com/2024/04/2023-hsc-maths-std.pdfMark Scheme: tomrocksmaths.files.wordpress.com/2024/04/2023-hsc-maths-std-mg.pdfThe exam paper and all questions contained within are the property of the New South Wales Government. Material is used under a 'fair use' policy for educational purposes. Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordWatch Tom take other Exams on the designated playlist here: youtube.com/playlist?list=PLMCRxGutHqfm3t0IVJabEab6OasV9WLrl A-level Maths: youtube.com/watch?v=uupjxztr2q8 A-level Further Maths: youtube.com/watch?v=C8o0vfQe_6A GCSE Maths: youtube.com/watch?v=hQVcv-T7IiY GCSE Further Maths: youtube.com/watch?v=KDn6N7eo9uo SAT Maths: youtube.com/watch?v=u0se7iWdNZw Cambridge University Admissions Test (STEP Paper) Part 1: youtube.com/watch?v=Qsthjv-Ygng Cambridge University Admissions Test (STEP Paper) Part 2: youtube.com/watch?v=f0Fm97oM608 German Maths Abitur: youtu.be/ZjCzWmRn6UM IB Maths: youtu.be/8KX2gE4GVZE AP Calculus: youtu.be/dijW2IAIc00 For more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here: beautifulequation.com/collections/tom-rocks-maths
Maths Speed Dating with @cs50s David Malan Tom Rocks Maths 2024-04-01 | Prof. David Malan @harvard answers randomly selected speed dating (and maths) questions with Oxford Mathematician Dr Tom Crawford. Full list of questions with timestamps below.02:17 - Can you tell me some of the maths topics you studied at university?05:12 - What is your favourite movie?06:41 - Do you think magic is real?07:43 - What is your best chat-up line?09:04 - What is something that makes you feel old?11:20 - What is the most adventurous thing you've ever done?14:30 - If you won the lottery, how would you spend the money?16:14 - If you could commit one crime without being caught, what would it be?18:16 - What is the most obscure class you took at college?21:09 - Do you have a favourite equation?23:05 - Do you play video games?25:16 - What is your favourite demonstration in CS50?26:40 - What is your favourite takeout meal?27:34 - What makes you laugh?28:24 - What is the worst/best fan-mail you have received?All images used under a 'fair use' policy. Copyright remains with the respective owners.Sign-up to take the CS50 course yourself for FREE here: cs50.edx.org CS50 YouTube channel: youtube.com/channel/UCcabW7890RKJzL968QWEykACS50 on social media: www.instagram.com/cs50www.twitter.com/cs50David Malan's homepage: https://cs.harvard.edu/malan/bio/ David's paper on eliminating grades in CS50: https://cs.harvard.edu/malan/publications/Toward_an_Ungraded_CS50.pdfDavid Malan on social media: www.instagram.com/davidjmalanwww.twitter.com/davidjmalanSpotify playlist: open.spotify.com/playlist/6sNDAFPubg3k4CuyH1fqrR Watch more in the 'Maths Speed Dating' series at the links below.Rachel Riley: youtu.be/WIQt7vf3vvU Grant Sanderson @3blue1brown: youtube.com/watch?v=Xh2LVy7B5q0Mike Boyd @MikeBoyd: youtu.be/BQnQsa-VDegSimon Clark @SimonClark: youtube.com/watch?v=W0vqiWir0-0 Mathemaniac @mathemaniac: youtu.be/RrMkTF-EE0MDorfuchs @DorFuchs: youtube.com/watch?v=nKr7NQJ_kM0Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department for Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here: beautifulequation.com/collections/tom-rocks-mathsWith thanks toDavid MalanHarvard UniversityCS50Oxford UniversitySt Edmund HallOxford University Department of Continuing EducationNintendoWarner Bros.Prime Video
Baking a Pi Pie for Pi Day 2024 Tom Rocks Maths 2024-03-14 | Oxford Mathematician Dr Tom Crawford bakes a pi-shaped pie to celebrate Pi Day 2024 - Maths has never been so tasty! Recipe with all ingredients in multiples of pi below.Pi Pie recipe:3 pi eggs63 pi grams sugar45 pi grams flourpi grams baking powder14 pi grams butter2 pi ml vanilla extractFilmed for Duocon 2022, a free global event at the intersection of language, learning, and technology: duolingo.com/duoconProduction by West Bound Filmworks Katy Romdall - Executive Producer Susan Kirsch - Creative DirectorTom Crawford - Writer, Video Co-Director, ResearcherRyan Claypool - Producer and Video Co-DirectorIlaria Ghattas - Program ManagerMatt Andrews - Aerials and Camera Operator Leo Brake & Juanru Zhao - Production AssistantsProduced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department for Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordWith thanks to:UCLA Digital Karnak QuoraRobin SpiveyNASAPenn MuseumWikipediaBassano LtdFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here: beautifulequation.com/collections/tom-rocks-maths
The Maths of Ancient Egypt: Numbers, Calendars and Geometry in Architecture Tom Rocks Maths 2024-03-10 | Oxford Mathematician Dr Tom Crawford explains some of the maths used by the Ancient Egyptians - from their number system and calendar, to the geometry of their magnificent architecture. Filmed on location in Egypt. The video was inspired by an article discussing the 8-sided nature of the Great Pyramid of Giza, and how the concavity would affect its volume. This is explored in the third part of the video via a calculation of the volume of a square-based pyramid, and how that would be modified for a step-pyramid such as the Pyramid of Djoser at Saqqara. The first part of the video looks at the number system of the Ancient Egyptians, including the meaning of the hieroglyphs and how they multiplied numbers together using a method of continuous doubling (or binary). Tom visits the wall at Karnak Temple which contains carvings of the numbers. The second part of the video explores the Ancient Egyptian Festival Calendar and the division of the year into 3 seasons of 120 days. Tom visits Kom Ombo temple which contains the only known example of hieroglyphs detailing the transition to the new year. The third and final part of the video looks more closely at the architecture of tombs such as the Pyramids and the Valley of the Kings. Tom visits both sites, as well as the ancient city of Saqqara. The volume of a standard square-based pyramid is calculated and compared to that of a step pyramid, with a rather surprising result. Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department for Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordWith thanks to:UCLA Digital Karnak QuoraRobin SpiveyNASAPenn MuseumWikipediaBassano LtdFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here: beautifulequation.com/collections/tom-rocks-maths
Introduction to Computer Science with CS50 - the most popular course on edX Tom Rocks Maths 2024-02-28 | Prof. David Malan of @cs50 @harvard teaches Tom the basics of Computer Science. Sign-up to take the course yourself for FREE here: cs50.edx.org CS50 YouTube channel: youtube.com/channel/UCcabW7890RKJzL968QWEykACS50 on social media: www.instagram.com/cs50www.twitter.com/cs50David Malan's homepage: https://cs.harvard.edu/malan/bio/ David Malan on social media: www.instagram.com/davidjmalanwww.twitter.com/davidjmalanProduced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department for Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here: beautifulequation.com/collections/tom-rocks-maths
How To Be More Productive (Using Maths) Tom Rocks Maths 2024-02-18 | University of Oxford Mathematician Dr Tom Crawford explains the maths behind productivity. Use the code TOMROCKSACUMEN for 40% off a premium subscription to Acumen.The mathematical model for productivity described in the video - "The Zenith Gradient Algorithm"- is the work of Jaheim Archibald, founder of Acumen: linkedin.com/in/jaheim-archibaldRead Jaheim's blog post on Medium about the algorithm here: medium.com/@jaheimarchibald/how-to-over-engineer-a-todo-app-the-zenith-gradient-algorithm-67712737135e You can find more information on the Acumen app on the website: https://www.acumenweb.app/ The @acumenwebapp YouTube channel contains several demos: youtube.com/@acumenproductivity1672And the Acumen Discord is a great place to ask any questions you may have: discord.gg/myFa5SKA5P The mathematical topics covered in the video include:- Poisson distribution- Differentiating to find the maximum of a function- Logarithms- Integration- Least-squares regression- Maximum likelihood estimation - Partial differentiation- Matrices- Lagrange multipliers- Vector calculusProduced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department for Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here: beautifulequation.com/collections/tom-rocks-maths
Oxford University Mathematician takes American AP Calculus BC Math Exam Tom Rocks Maths 2024-02-11 | University of Oxford Mathematician Dr Tom Crawford sits the AP Calculus BC exam with no preparation. The exam is often taken by American High School students as part of college application process.There are 5 AP Math exams, 4 on Calculus, and 1 on Statistics. The Calculus BC exam is the highest level offered.The paper in the video is the 2022 version of the exam, Section II, Part B (non-calculator). You can download the exam paper and mark scheme for yourself at the links below.BC Paper Section II: tomrocksmaths.files.wordpress.com/2024/02/bc-2022-paper.pdfBC Mark Scheme Section II: tomrocksmaths.files.wordpress.com/2024/02/bc-2022-ms.pdf The exam paper and all questions contained within are the property of AP Central. Material is used under a 'fair use' policy for educational purposes. Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordWatch Tom take other Exams on the designated playlist here: youtube.com/playlist?list=PLMCRxGutHqfm3t0IVJabEab6OasV9WLrl A-level Maths: youtube.com/watch?v=uupjxztr2q8 A-level Further Maths: youtube.com/watch?v=C8o0vfQe_6A GCSE Maths: youtube.com/watch?v=hQVcv-T7IiY GCSE Further Maths: youtube.com/watch?v=KDn6N7eo9uo SAT Maths: youtube.com/watch?v=u0se7iWdNZw Cambridge University Admissions Test (STEP Paper) Part 1: youtube.com/watch?v=Qsthjv-Ygng Cambridge University Admissions Test (STEP Paper) Part 2: youtube.com/watch?v=f0Fm97oM608 German Maths Abitur: youtu.be/ZjCzWmRn6UM IB Maths: youtu.be/8KX2gE4GVZE For more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here: beautifulequation.com/collections/tom-rocks-mathsVideo edited by Ryd Cook.
Oxford University Mathematician takes American AP Calculus Exam - TRAILER Tom Rocks Maths 2024-02-10 | University of Oxford Mathematician Dr Tom Crawford takes the American AP Calculus BC Exam with no preparation... Full video here: youtube.com/watch?v=dijW2IAIc00 Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk/profiles/tom-crawfordFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmathsGet your Tom Rocks Maths merchandise here:beautifulequations.net/collections/tom-rocks-maths
Connecting Topology and Abstract Algebra with George Lusztig (2014 Shaw Prize) Tom Rocks Maths 2024-02-04 | MIT Professor George Lusztig (2014 Shaw Prize) discusses his career in mathematics with University of Oxford Mathematician Dr Tom Crawford. Recorded at the 2023 Hong Kong Laureate Forum.*CORRECTION: the image at 8:55 is Serge Lang, when George is in fact talking about Jean-Pierre Serre. George begins with his early career in Romania, before a chance meeting with Isadore Singer - and the invitation to Oxford that followed - changed his life. Whilst there, George worked with Singer and Michael Atiyah, following the latter to Princeton as his graduate student. Full list of publications by George Lusztig: https://math.mit.edu/~gyuri/pub.htmlAtiyah-Singer Index Theorem: Atiyah, Michael F.; Singer, Isadore M. (1963), "The Index of Elliptic Operators on Compact Manifolds", Bull. Amer. Math. Soc., 69 (3): 422–433, doi:10.1090/S0002-9904-1963-10957-X 2014 Shaw Prize in Mathematics: shawprize.org/laureates/2014-mathematical-sciences2014 Shaw Prize video: youtube.com/watch?v=UE_jQs536ZkLinks to Tom's other interviews with Laureates in Maths and Computer Science. Robert Langlands: youtube.com/watch?v=XNh0cd09hxQWhitfield Diffie: youtube.com/watch?v=UaanzpCkc8cLesley Lamport: youtube.com/watch?v=DPVvReKyhmwAlessio Figalli: youtube.com/watch?v=Oob466Ia9f4Martin Hairer: youtube.com/watch?v=Z6XP3n-SjiwMichael Atiyah: youtube.com/watch?v=alujy8SVIDMDaniel Spielman: youtu.be/SVfabuPRkYgEfim Zlemanov: youtube.com/watch?v=Nz3_RzZzuO8Steven Balbus: youtu.be/W1teZXKqdCw Noga Alon: youtu.be/yaFoaeuhlos Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk All video footage is shown under a fair use policy for educational purposes via a Creative Commons licence. The copyright remains the property of the owner of the footage. For more maths content check out Tom's website tomrocksmaths.comYou can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmathstwitter.com/tomrocksmathsinstagram.com/tomrocksmathsGet your Tom Rocks Maths merchandise here: beautifulequation.com/collections/tom-rocks-mathsWith thanks toGeorge LusztigHong Kong Laureate ForumThe Shaw PrizeGeorge M. Benson: commons.wikimedia.org/wiki/File:Isadore_Singer_1977_(re-scanned_1,_bordered).jpgcommons.wikimedia.org/wiki/Category:Serge_Lang#/media/File:Serge_Lang,_Aug_1977_(de-bordered).jpg
Oxford University Maths Essay Competition 2024 Tom Rocks Maths 2024-01-28 | The Tom Rocks Maths Essay Competition is back - with a new home at the Oxford University Department of Continuing Education. Full details and entry form here: conted.ox.ac.uk/about/tom-rocks-maths-essay-competitionThis exciting competition asks students of all ages and abilities to explain their favourite mathematical topic in an essay aimed at a non-specialist audience. Originally launched in 2020 as a partnership between Tom Rocks Maths and St Edmund Hall, the competition aims to provide the participants with the opportunity to communicate complex ideas in an understandable manner, and to encourage them to engage with maths beyond any curriculum. There are no eligibility requirements, all you need is a passion for maths and a flair for writing to participate! The closing date is Monday 1st April 2024 and the showcase of entries (including the announcement of the winners) will take place throughout summer 2024. There are two strands of entry:1. Under 18's (student); and2. Over 18's (adult)Please note: A ‘student' is defined as anyone who is still studying full-time at school or college, university students fall into the ‘adult’' category.There is no word limit for the essays, but as a guideline 1000-2000 words is sufficient. All entries must be submitted using the online form as PDF or Microsoft Word documents.The submission form can be accessed here: docs.google.com/forms/d/e/1FAIpQLSfQvyxS0vbA7NAlquvln0dA-kOEOD6PeRF_5nNoxQ48P9F7YQ/viewformThe winners will be selected by Dr Tom Crawford, Public Engagement Lead and Departmental Lecturer, and the creator of the award-winning ’Tom Rocks Maths’. All entries will be published on the Tom Rocks Maths website as part of the essay showcase. The student prizewinner will receive a cash prize of £100 alongside the publication of their winning essay on the University website. The adult prizewinner will receive free registration to an online live-time weekly class (WOW) of their choosing and the publication of their winning essay on the University website. The full list of courses available can be found here: conted.ox.ac.uk/about/weekly-oxford-worldwide All information about the competition can be found here: conted.ox.ac.uk/about/tom-rocks-maths-essay-competitionAll copyright footage used for educational purposes under a fair-usage policy. The Simpsons: Copyright 20th Century AnimationsThe following clips are used under a Creative Commons licence.Ethereal Sound - Oxford Aerial View: youtube.com/watch?v=PI7XaeaMCtQ Thumbnail image: Alinangel, Wikimedia Commons commons.wikimedia.org/wiki/Category:Radcliffe_Camera#/media/File:ALI_0264.jpgProduced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk For more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here:beautifulequation.com/collections/tom-rocks-maths
Which Dinosaur is the Fastest? The Maths of Dinosaurs Tom Rocks Maths 2024-01-21 | University of Oxford Mathematician Dr Tom Crawford explains how to mathematically calculate the fastest dinosaur. Its the Maths of Dinosaurs!Using a mathematical formula which gives the top speed of a land-based animal, we use the tools of calculus to determine the ideal mass to maximise velocity. Too small and the animal does not have enough capacity to go quickly, but too big and it cannot accelerate quickly enough to reach its theoretical maximum speed. The location of the 'sweet spot' in the middle is found by calculating the turning point of the velocity function. The solution is then applied to dinosaurs to determine which is the fastest.Check out the table of all calculated top speeds here: tomrocksmaths.files.wordpress.com/2024/01/table2.pdfThe formula for the top speed is taken from the work of Myriam Hirt - link to publication below. Hirt, M.R., Jetz, W., Rall, B.C. et al. A general scaling law reveals why the largest animals are not the fastest. Nat Ecol Evol 1, 1116–1122 (2017). doi.org/10.1038/s41559-017-0241-4Filmed on location at Lourinha Dino Park in Portugal. Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk For more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here:beautifulequation.com/collections/tom-rocks-maths Thanks toLourinha Dino ParkSteve Sheridan youtube.com/watch?v=aKYLA-9kcKMWildest Nature youtube.com/watch?v=9Vpg5yQ5pVE Hoedspruit Endangered Species Centre youtube.com/watch?v=OL0dNL3lOzg
Making Enemies with the NSA - with Martin Hellman (2015 Turing Award) Tom Rocks Maths 2024-01-14 | Turing Award recipient Martin Hellman discusses his career with Oxford Mathematician Dr Tom Crawford, including how he went to war with the NSA over public key cryptography and the Diffie-Hellman Key Exchange. Recorded at the 2023 Heidelberg Laureate Forum. Find out more about the event at heidelberg-laureate-forum.orgThe story begins in the 1960's and Martin's early work in cryptography at IBM Research. He meets Whitfield Diffie and in 1976 the Diffie-Hellman Key Exchange is created - allowing information to be sent securely online. As the field of cryptography is being developed, Martin faces opposition from the National Security Agency (NSA), but he refuses to back down. He explains his reasons for this, and how it was finally resolved.In the 1980's Martin switched his focus to the nuclear threat and began working on educating the public on the risk of nuclear annihilation. More information can be found on his website: http://nuclearrisk.org Seven years ago Martin published a book, co-authored with his wife, entitled "A new map for relationships: creating true love at home and peace on the planet". You can download the PDF version for free here: https://ee.stanford.edu/~hellman/publications/book3.pdf The ACM A.M. Turing Award is an annual prize given by the Association for Computing Machinery (ACM) to "an individual selected for contributions of a technical nature made to the computing community". The Turing Award is recognized as the "highest distinction in computer science" and "Nobel Prize of Computing". The award is named after Alan Mathison Turing, mathematician and reader in mathematics at the University of Manchester. From 2007 to 2013, the award was accompanied by a prize of US$250,000. Effective 2014, the funding level has been increased to US$1 million, i.e. four times the previous amountMartin Hellman received the Turing Award in 2015 along with Whitfield Diffie for inventing and promulgating both asymmetric public-key cryptography, including its application to digital signatures, and a practical cryptographic key-exchange method.Links to other videos and publications mentioned in the video are below.HLF 10 - Lightning Talks: youtube.com/watch?v=euWWcuGdCwM C. E. Shannon, "Communication theory of secrecy systems," in The Bell System Technical Journal, vol. 28, no. 4, pp. 656-715, Oct. 1949, doi: 10.1002/j.1538-7305.1949.tb00928.x.WSJ Ukraine Poll: file:///Volumes/ElementsNEW/HLF10/Hellman/WSJ_NORC_Ukraine_Poll_June_2022.pdfLinks to Tom's other interviews with Laureates in Maths and Computer Science. Whitfield Diffie: youtube.com/watch?v=UaanzpCkc8c Lesley Lamport: youtube.com/watch?v=DPVvReKyhmw Alessio Figalli: youtube.com/watch?v=Oob466Ia9f4 Martin Hairer: youtube.com/watch?v=Z6XP3n-Sjiw Michael Atiyah: youtube.com/watch?v=alujy8SVIDM Daniel Spielman: youtu.be/SVfabuPRkYg Efim Zelmanov: youtu.be/Nz3_RzZzuO8Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk For more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here:beautifulequation.com/collections/tom-rocks-maths With thanks toMartin HellmanHeidelberg Laureate ForumHeidelberg Laureate Forum FoundationIBM ResearchMIT MuseumChuck Painter/Stanford News ServiceHannah Ritchie and Max RoserRoger DudleyRTC at English Wikipedia
Unpacking My New Film Studio @oxforduniversity with FULL TOUR Tom Rocks Maths 2024-01-07 | A behind-the-scenes look at Dr Tom Crawford's new office and film studio at the Oxford University Department of Continuing Education. Full unpacking (x60 speed) plus tour of the finished room with accompanying Maths-themed music by Prof. David Acheson.All music from Oxford Mathematician Prof. David Acheson.'Maths Alive': youtube.com/watch?v=jT6a-u46N1M'Wondrous Geometry': youtube.com/watch?v=3RWIEMJNRW8'Five Equations': youtube.com/watch?v=iI73jAydqGMProduced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.ukFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here: beautifulequations.net/collections/tom-rocks-maths
Oxford University Mathematician REACTS to Animation vs. Physics Tom Rocks Maths 2023-12-28 | Oxford Mathematician Dr Tom Crawford watches @alanbecker's "Animation vs. Physics" for the very first time. Watch the original video here: youtube.com/watch?v=ErMSHiQRnc8*The copyright of the original video is the property of Alan Becker. The footage is shown here under a fair usage policy.Watch Tom take a variety of high school maths exams from around the world on the designated playlist here: youtube.com/playlist?list=PLMCRxGutHqfm3t0IVJabEab6OasV9WLrl Watch Tom on 'Numberphile' here: youtube.com/watch?v=oSXVmuNIfRI&list=PLt5AfwLFPxWJ2TNTA79reKQ6S88kTvDR- Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.ukFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here: beautifulequations.net/collections/tom-rocks-maths
Can an Oxford University Mathematician solve a High School Physics Exam? (with @PhysicsOnline) Tom Rocks Maths 2023-12-20 | Oxford Mathematician Dr Tom Crawford is challenged by Lewis from @PhysicsOnline to try some questions from an A-level Physics exam. Find the accompanying Maple Learn worksheet with some Physics questions to try for yourself here: learn.maplesoft.com/doc/v9ten9mzuaPart 2 where Lewis tries some Maths exam questions set by Tom is here: youtube.com/watch?v=6Y3cj0Us45M Sign-up for Maple Learn Premium using the code TOMROCKSMATHS for a discounted subscription. Head to getlearn.maplesoft.com for more information.Find out more about Maple Learn on the Maplesoft YouTube channel: youtube.com/channel/UCq2MmZQ8-kqEVAnmL2GSMsQ The questions featured in the video are taken from the OCR 2020 A Level Physics exam paper entitled “Modelling Physics”. You can download the exam paper for yourself here: tomrocksmaths.files.wordpress.com/2023/12/643598-question-paper-modelling-physics.pdf The Mark Scheme is here: tomrocksmaths.files.wordpress.com/2023/12/643603-mark-scheme-modelling-physics.pdfThe questions covered in the video are as follows:1:26 – Q16: Force Diagram20:47 – Q18: Projectile Motion49:44 – Multiple choice section: Q1, Q2, Q3, Q4, Q5, Q10, Q13Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.ukFor more maths content check out Tom's website tomrocksmaths.comYou can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmathstwitter.com/tomrocksmathsinstagram.com/tomrocksmathsGet your Tom Rocks Maths merchandise here:beautifulequation.com/collections/tom-rocks-maths With thanks toPhysics OnlineLewis MathesonSt Edmund HallUniversity of OxfordNicoguaro: en.wikipedia.org/wiki/Stress%E2%80%93strain_curve#/media/File:Stress_strain_ductile.svg
The Mathematician with 600 Publications - Noga Alon (2022 Shaw Prize) Tom Rocks Maths 2023-12-10 | Professor Noga Alon (Shaw Prize 2022) discusses his career in Mathematics which has led to over 600 publications so far. Interview with University of Oxford mathematician Dr Tom Crawford recorded at the Hong Kong Laureate Forum 2023. Noga begins with his recollection of being awarded the Shaw Prize in Mathematics, and the recent award ceremony in Hong Kong. He then explains how the interdisciplinary nature of his work has led to over 600 publications, including work in Biology, Economics and Neuroscience. Noga also discusses how he decides which questions are worth his time, and some of the great unsolved problems he has thought about in the past (eg. Collatz, Goldbach, Riemann, P vs NP).The second part of the video looks at some of his work in more detail, including his work on ‘necklace splitting’ and the Borsuk-Ulam Theorem which he covers in a recent Numberhpile video here: youtube.com/watch?v=rwiEiGqgetU Finally, Noga shares a story from his childhood involving the Eurovision Song Contest which convinced him of the objectivity of the subject of Mathematics.Links to Tom's other interviews with Laureates in Maths and Computer Science. Robert Langlands: youtube.com/watch?v=XNh0cd09hxQWhitfield Diffie: youtube.com/watch?v=UaanzpCkc8cLesley Lamport: youtube.com/watch?v=DPVvReKyhmwAlessio Figalli: youtube.com/watch?v=Oob466Ia9f4Martin Hairer: youtube.com/watch?v=Z6XP3n-SjiwMichael Atiyah: youtube.com/watch?v=alujy8SVIDMDaniel Spielman: youtu.be/SVfabuPRkYgEfim Zlemanov: youtube.com/watch?v=Nz3_RzZzuO8Steven Balbus: youtu.be/W1teZXKqdCw Full list of publications by N. Alon: https://web.math.princeton.edu/~nalon/PDFS/publications.html Shaw Prize 2022 acceptance speech by Noga Alon: youtube.com/watch?v=bU7X9TI-cVg Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk All video footage is shown under a fair use policy for educational purposes via a Creative Commons licence. The copyright remains the property of the owner of the footage. For more maths content check out Tom's website tomrocksmaths.comYou can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmathstwitter.com/tomrocksmathsinstagram.com/tomrocksmathsGet your Tom Rocks Maths merchandise here: beautifulequation.com/collections/tom-rocks-mathsWith thanks toNoga AlonHong Kong LaureateThe Shaw PrizeNumberphile3Blue1Brown: youtube.com/watch?v=yuVqxCSsE7c Eurovision Song ContestByle do Maja: youtube.com/watch?v=e-qliUeynjY Filip Frantál: youtube.com/watch?v=KB4TL6gIJMc
Oxford University Mathematician takes Admissions Interview (with @AnotherRoof) Tom Rocks Maths 2023-11-26 | Oxford University Mathematician Dr Tom Crawford gets a taste of his own medicine as he is asked some admissions interview questions by Alex from @AnotherRoof. Part 1 where Tom interviews Alex is here: youtube.com/watch?v=xrfLDuehzog*CORRECTION: For the 1st question l'hopital's rule can only be used when the derivatives are continuous and technically we are not told this in the question.Interview questions covered in the video:1. If f(x+y)=f(x)f(y) and f'(0)=3, what is f(x)?2. How many zeroes does 1000! have?Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk For more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here:beautifulequation.com/collections/tom-rocks-maths
Prize Winning Astrophysicist Explains Black Hole Formation Tom Rocks Maths 2023-11-19 | Professor Steven Balbus (Shaw Prize 2013) explains his work on black hole formation. Interview with University of Oxford mathematician Dr Tom Crawford recorded at the Hong Kong Laureate Forum 2023.Steven discusses his reaction at being awarded the prize in 2013, before a detailed explanation of his influential work on accretion disks, and how the magnetic field around a black hole can be understood by considering a spring between rotating masses. We also discuss his position at the University of Oxford as the Savilian Professor of Astronomy, and why he decided to work in astrophysics. Finally, Steven answers some quick-fire questions includng "blackboards versus whitebaords", "pi vs tau", "angles versus radians", "favourite number", "favourite star" and "favourite mathematical result".Links to Tom's other interviews with Laureates in Maths and Computer Science. Robert Langlands: youtube.com/watch?v=XNh0cd09hxQ Whitfield Diffie: youtube.com/watch?v=UaanzpCkc8c Lesley Lamport: youtube.com/watch?v=DPVvReKyhmw Alessio Figalli: youtube.com/watch?v=Oob466Ia9f4 Martin Hairer: youtube.com/watch?v=Z6XP3n-Sjiw Michael Atiyah: youtube.com/watch?v=alujy8SVIDM Daniel Spielman: youtu.be/SVfabuPRkYg Efim Zlemanov: youtube.com/watch?v=Nz3_RzZzuO8 Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk For more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here:beautifulequation.com/collections/tom-rocks-maths With thanks toSteven BalbusHong Kong Laureate ForumDan AddisonESA/HubbleTudorESOEHT CollaborationNASA’s Goddard Space Flight Center/Jeremy SchnittmanGary SettlesJosh Estey/AUSaidWHOISimons CentrePeter MercatorMVLANBerkeleyThe WireRogelio Bernal AndreoESO/P. Kervella
Can Dogs Do Math? Tom Rocks Maths 2023-11-12 | TRM intern Alvaro Gonzalez Hernandez and his dog Txoki explain the maths behind involutes - the curve formed when a dog unwraps its lead from around a tree trunk.Involutes have been studied throughout history, most notably by Christian Huygens when trying to construct an accurate clock using a pendulum. They are also found in gear systems where the shape of the gears follows that of a circular involute to reduce friction and increase torque. Calculation of the parametric form of the circular involute by Dr Tom Crawford.Produced by TRM intern Alvaro Gonzalez Hernandez with assistance from Dr Tom Crawford. Alvaro is a fourth year mathematics undergraduate at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.ukFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmathsGet your Tom Rocks Maths merchandise here:beautifulequation.com/collections/tom-rocks-mathsWith thanks toAlvaro Gonzalez HernandezTxokiOxford University Micro-Internship SchemeScience Museum LondonVysotsky (Wikipedia)Rob KoopmanAg2gaeh (Wikipedia)Sam DerbyshireStephan Heiss
Two Truths and a Lie: Isaac Newton in Cambridge with @singingbanana Tom Rocks Maths 2023-11-05 | Oxford Mathematician Dr Tom Crawford joins Dr James Grime @singingbanana and @numberphile to determine which stories about Isaac Newton in Cambridge are true and which are false... Learn more about the work of Isaac Newton with the Maple Learn worksheet here: learn.maplesoft.com/doc/urkp0izyjs/trm-newton-worksheetSign-up for Maple Learn Premium using the code TOMROCKSMATHS for a discounted subscription. Head to getlearn.maplesoft.com for more information.Subscribe to James' channel here: youtube.com/@singingbananaThanks to @isaacnewtoninstitute for giving us access to the lecture room.With thanks to:James GrimeThe Isaac Newton InstituteMaplesoftQueens' CollegeCentre for Mathematical SciencesTrinity CollegeCullinan StudioIt's No GameCMGleeDakeJoe DoublePhysics ClassroomProduced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.ukFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmathsGet your Tom Rocks Maths merchandise here:beautifulequation.com/collections/tom-rocks-maths
Why Do People Hate Mathematics? Efim Zelmanov (Fields Medal 1994) Tom Rocks Maths 2023-10-29 | Efim Zelmanov (1994 Fields Medal) talks to University of Oxford Mathematician Dr Tom Crawford about why people hate maths, how he solved the Burnside problem, and what makes math beautiful. Full list of questions below.Recorded at the 2023 Heidelberg Laureate Forum. Find out more about the event at heidelberg-laureate-forum.orgThe Fields Medal is awarded every four years during the opening ceremony of the International Congress of Mathematicians (ICM). It recognizes outstanding mathematical achievement for existing work and for the promise of future achievement. Two to four medals are awarded to mathematicians who have to be of age less than forty years on January 1 of the Congress year. The Fields Medal, established in 1936 and named after the Canadian mathematician J. C. Fields, is one of the most prestigious awards in the field of mathematics and often described as the "Nobel Prize of Mathematics".Efim Zelmanov was awarded the Fields Medal in 1994 “for the solution of the restricted Burnside problem in group theory”. Efim is the Chair Professor at the Southern University of Science and Technology (SUSTech).Full list of questions covered in the interview:Why do people hate mathematics? Is maths a science or an art? How did you feel when you solved the Burnside problem and were awarded the Fields medal?Will the remainder of the Burnside problem be solved anytime soon?What area of maths do you find the most beautiful?Should maths be split into pure and applied subjects?What is your mathematical genealogy?Do you prefer Newton or Leibniz notation for derivatives?Is zero a natural number?Was maths discovered or invented?Do you have a favourite number?Do you prefer blackboards or whiteboards?Links to Tom's other interviews with Laureates in Maths and Computer Science. Whitfield Diffie: youtube.com/watch?v=UaanzpCkc8c Lesley Lamport: youtube.com/watch?v=DPVvReKyhmw Alessio Figalli: youtube.com/watch?v=Oob466Ia9f4 Martin Hairer: youtube.com/watch?v=Z6XP3n-Sjiw Michael Atiyah: youtube.com/watch?v=alujy8SVIDM Daniel Spielman: youtu.be/SVfabuPRkYg Links to the other events/talks mentioned in the video:Why do people hate mathematics? youtube.com/watch?v=_rHwxqsETFw Laszlo Lovasz lecture at HLF 2023 youtube.com/watch?v=hg1OH0PofKw Efim Zelmanov: is math a science or an art? youtube.com/watch?v=6q8LkyBaPTcWhere can mathematics and computer science interact fruitfully? youtube.com/watch?v=aeSYEaP0N_E Find your own Math Genealogy here: mathgenealogy.org Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk For more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here:beautifulequation.com/collections/tom-rocks-maths With thanks toEfim ZlemanovHeidelberg Laureate ForumHeidelberg Laureate Forum FoundationMath Genealogy IMU
Oxford Linear Algebra: Gram-Schmidt Process Tom Rocks Maths 2023-10-22 | University of Oxford Mathematician Dr Tom Crawford introduces the steps of the Gram-Schmidt Process and explains why the algorithm gives you an orthonormal set of vectors. Check out ProPrep with a 30-day free trial: proprep.uk/info/TOM-Crawford Links to the other videos mentioned: Inner Product Space youtube.com/watch?v=ywjA25xFuewTest your understanding of the content covered in the video with some practice exercises courtesy of ProPrep. You can download the workbooks and solutions for free here: api.proprep.com/course/downloadbook?file=Proprep%20-%20Linear%20Algebra%20-%20Inner%20Product%20Spaces%20-%20workbook.pdfYou can also find several video lectures from ProPrep explaining the content covered in the video here: proprep.com/courses/all/linear-algebra/inner-product-spaces/gram-schmitt-process/vid26063As with all modules on ProPrep, each set of videos contains lectures, worked examples and full solutions to all exercises. The video begins with a reminder of the definition of an orthonormal set, before introducing the 3 steps of the Gram-Schmidt Process. Step 1: normalise the first vector from a linearly independent set. Step 2: subtract the projection of the first orthonormal vector from the second vector in the linearly independent set, then normalise. Step 3: repeat step 2 for each of the remaining vectors.Step 2 is explored in more detail through a direct calculation of the inner product and an explicit example in the 2D plane, including a visualisation of the projection map. The video ends with a fully worked example of computing an orthonormal set in the polynomial inner product space where the inner product is defined via an integral. Watch the other videos from the Oxford Linear Algebra series at the links below. Solving Systems of Linear Equations using Elementary Row Operations (ERO’s): youtu.be/9pF__coVyEE Calculating the inverse of 2x2, 3x3 and 4x4 matrices: youtu.be/VKOaG3Ogf9Q What is the Determinant Function: youtube.com/watch?v=bLsBWVYSg0A The Easiest Method to Calculate Determinants: youtu.be/qniUv4EZB0w Eigenvalues and Eigenvectors Explained: youtu.be/8uISh6xyW7w Spectral Theorem Proof: youtu.be/ADwsk9G5s_8 Vector Space Axioms: youtu.be/draqOOUoWQM Subspace Test: youtu.be/3_MxBlWQsgs Basis, Spanning and Linear Independence: youtu.be/wdOFi8aUNp0Dimension Formula: youtu.be/lGo9E5dZ4f8Direct Sum: youtube.com/watch?v=b1VZm4Oecq4 Linear Transformations: youtu.be/UF59Mok4fsQ Rank Nullity Theorem: youtu.be/yZ52iqxaiCcInner Product Space: youtube.com/watch?v=ywjA25xFuew Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.ukFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmathsGet your Tom Rocks Maths merchandise here:beautifulequations.net/collections/tom-rocks-mathsCheck out Proprep with a 30-day free trial here: proprep.uk/info/TOM-Crawford
Oxford University Mathematician takes High School IB Maths Exam Tom Rocks Maths 2023-10-12 | Subscribe to Curiosity Stream now using the code TOMROCKS for 25% off and start exploring the world around you! curiositystream.com/TomRocksUniversity of Oxford Mathematician Dr Tom Crawford sits the IB Maths Exam taken by High School students around the world. The test is usually taken at the end of school by students aged 17-18. The exam taken by Tom is the ‘Mathematics: Applications and Interpretation Higher Level Specimen Paper’. You can download the test (and mark scheme) for yourself here: tomrocksmaths.files.wordpress.com/2023/10/dp-mathematics-applications-and-interpretation-specimen-papers-en.pdf The Specimen Paper and all questions contained within are property of the International Baccalaureate Organization. Material is used under a 'fair use' policy for educational purposes. Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk Watch Tom take other Exams on the designated playlist here: youtube.com/playlist?list=PLMCRxGutHqfm3t0IVJabEab6OasV9WLrl A-level Maths: youtube.com/watch?v=uupjxztr2q8 A-level Further Maths: youtube.com/watch?v=C8o0vfQe_6A GCSE Maths: youtube.com/watch?v=hQVcv-T7IiY GCSE Further Maths: youtube.com/watch?v=KDn6N7eo9uo SAT Maths: youtube.com/watch?v=u0se7iWdNZw Cambridge University Admissions Test (STEP Paper) Part 1: youtube.com/watch?v=Qsthjv-Ygng Cambridge University Admissions Test (STEP Paper) Part 2: youtube.com/watch?v=f0Fm97oM608 German Maths Abitur: youtu.be/ZjCzWmRn6UM For more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmaths Get your Tom Rocks Maths merchandise here: beautifulequation.com/collections/tom-rocks-maths
Solving the Hardest Problems with Daniel Spielman (Nevanlinna Prize 2010) Tom Rocks Maths 2023-10-01 | University of Oxford Mathematician Dr Tom Crawford talks to Professor Daniel Spielman of Yale University about his career so far, including what it was like to win the 2010 Nevanlinna Prize. Learn more about Discrepancy Theory with the Maple Learn worksheet here: learn.maplesoft.com/doc/8n4hf5eiaw/discrepancy-theorySign-up for Maple Learn Premium using the code TOMROCKSMATHS for a discounted subscription. Head to getlearn.maplesoft.com for more information.Recorded at the 2023 Heidelberg Laureate Forum. Find out more about the event at heidelberg-laureate-forum.org The Nevalinna Prize (now renamed the Abacus Medal) is awarded by the International Mathematical Union (IMU) every 4 years for outstanding contributions in Mathematical Aspects of Information Sciences. Daniel received his prize in 2010 "for smoothed analysis of Linear Programming, algorithms for graph-based codes and applications of graph theory to Numerical Computing."Links to Tom's other interviews with Laureates in Maths and Computer Science.Whitfield Diffie: youtube.com/watch?v=UaanzpCkc8cLesley Lamport: youtube.com/watch?v=DPVvReKyhmwAlessio Figalli: youtube.com/watch?v=Oob466Ia9f4Martin Hairer: youtube.com/watch?v=Z6XP3n-SjiwMichael Atiyah: youtube.com/watch?v=alujy8SVIDMLinks to Daniel's talks at the 2023 HLF.Lightning Talks: youtube.com/watch?v=euWWcuGdCwMSparks Session: youtube.com/watch?v=IHEfrVrYQSILinks to the two publications mentioned in the video.Spielman: arxiv.org/abs/1911.03071Spencer: jstor.org/stable/2000258Link to interview with Daniel at HLF5: youtube.com/watch?v=SoVRmfFrnhsWith thanks to:Daniel SpielmanHeidelberg Laureate Forum FoundationPhotograph of Commodore PET by Rama, Wikimedia Commons, Cc-by-sa-2.0-frPhotograph of Notebooks by Brandon Schulman for Quanta MagazineTom GellerProduced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.ukFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmathsGet your Tom Rocks Maths merchandise here:beautifulequation.com/collections/tom-rocks-maths
Oxford University Mathematician REACTS to Math Rap - Lil Mabu and bbno$ Tom Rocks Maths 2023-09-24 | University of Oxford Mathematician Dr Tom Crawford watches 2 music videos described as 'Math Rap' - @LilMabu 'MATHEMATICAL DISRESPECT' and @bbnomoney 'mathematics'. Watch the original videos at the links below.Lil Mabu - MATHEMATICAL DISRESPECT: youtube.com/watch?v=zXV4GX6Whyw [Merlin] Too Lost (on behalf of Lil Mabu); BMI - Broadcast Music Inc., SOLAR Music Rights Management, Reservoir Media (Publishing), LatinAutorPerf, and 5 Music Rights Societiesbbno$ - mathematics: youtube.com/watch?v=tH_i76JVTDg (on behalf of bbno$); Sony Music Publishing, Abramus Digital, LatinAutor, SOLAR Music Rights Management, CMRRA, LatinAutor - PeerMusic, Polaris Hub AB, LatinAutorPerf, Ultra Publishing, Pulse Recording (music publishing), BMI - Broadcast Music Inc., UNIAO BRASILEIRA DE EDITORAS DE MUSICA - UBEM, LatinAutor - SonyATV, and 10 Music Rights Societies*The copyright of the original video is the property of the artists and respective record labels. The footage is shown here under a fair usage policy.Application of Information Theory to 'Wordle' from @3blue1brown: youtube.com/watch?v=v68zYyaEmEA Watch Tom take a variety of high school maths exams from around the world here: youtube.com/playlist?list=PLMCRxGutHqfm3t0IVJabEab6OasV9WLrl Watch Tom on @numberphile here: youtube.com/watch?v=oSXVmuNIfRI&list=PLt5AfwLFPxWJ2TNTA79reKQ6S88kTvDR- Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.ukFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmathsGet your Tom Rocks Maths merchandise here:beautifulequations.net/collections/tom-rocks-maths
Oxford Linear Algebra: Inner Product Space Tom Rocks Maths 2023-09-17 | University of Oxford Mathematician Dr Tom Crawford introduces the concept of a Bilinear Form, Inner Product, Sesquilinear Form and Inner Product Space. Check out ProPrep with a 30-day free trial: proprep.uk/info/TOM-Crawford Links to the other videos mentioned: Linear Transformations: youtu.be/UF59Mok4fsQ Spanning, Basis & Linear Independence: youtu.be/wdOFi8aUNp0 Test your understanding of the content covered in the video with some practice exercises courtesy of ProPrep. You can download the workbooks and solutions for free here: api.proprep.com/course/downloadbook?file=Proprep%20-%20Linear%20Algebra%20-%20Inner%20Product%20Spaces%20-%20workbook.pdfYou can also find several video lectures from ProPrep explaining the content covered in the video here: proprep.com/courses/all/linear-algebra/inner-product-spaces/inner-product-spaces/vid10133As with all modules on ProPrep, each set of videos contains lectures, worked examples and full solutions to all exercises. The video begins with the definition of a Bilinear Form with a concrete example of the dot product on R^n. This is shown to also satisfy the criteria to be symmetric and positive definite, thus making it an Inner Product.The concept of an Inner Product Space is then introduced as a Real Vector Space equipped with an Inner Product. A second example involving an integral over the space of real polynomials is then explored.In the second part of the video Orthonormal Sets are introduced via a definition and then the proof of a lemma stating that any Orthonormal Set in an Inner Product Space is Linearly Independent. The video concludes with a final definition of a Sesquilinear Form and a discussion of a Complex Inner Product Space. Watch the other videos from the Oxford Linear Algebra series at the links below. Solving Systems of Linear Equations using Elementary Row Operations (ERO’s): youtu.be/9pF__coVyEE Calculating the inverse of 2x2, 3x3 and 4x4 matrices: youtu.be/VKOaG3Ogf9Q What is the Determinant Function: youtube.com/watch?v=bLsBWVYSg0A The Easiest Method to Calculate Determinants: youtu.be/qniUv4EZB0w Eigenvalues and Eigenvectors Explained: youtu.be/8uISh6xyW7w Spectral Theorem Proof: youtu.be/ADwsk9G5s_8 Vector Space Axioms: youtu.be/draqOOUoWQM Subspace Test: youtu.be/3_MxBlWQsgs Basis, Spanning and Linear Independence: youtu.be/wdOFi8aUNp0Dimension Formula: youtu.be/lGo9E5dZ4f8Direct Sum: youtube.com/watch?v=b1VZm4Oecq4 Linear Transformations: youtu.be/UF59Mok4fsQ Rank Nullity Theorem: youtu.be/yZ52iqxaiCcProduced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.ukFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmathsGet your Tom Rocks Maths merchandise here:beautifulequations.net/collections/tom-rocks-mathsCheck out Proprep with a 30-day free trial here: proprep.uk/info/TOM-Crawford
Climbing Mount Kilimanjaro 2023 - Machame Route Tom Rocks Maths 2023-09-10 | Something a little different to my usual content, but I wanted to share the experience with all of you as a thank you for supporting the channel. I climbed Kilimanjaro via the Machame Route in August 2023 and this is what happened...Day 1: Machame Gate (1640m) to Machame Camp (2850m)Day 2: Machame Camp (2850m) to Shira Camp (3810m)Day 3 Part I: Shira Camp (3810m) to Lava Tower (4630m)Day 3 Part II: Lava Tower (4630m) to Barranco Camp (3976m)Day 4 Part I: Barranco Camp (3976m) to Karanga Camp (3995m)Day 4 Part II: Karanga Camp (3995m) to Barafu Camp (4673m)Day 5 Part I: Barafu Camp (4673m) to Uhuru Peak (5895m)Day 5 Part II: Uhuru Peak (5895m) to Mweka Camp (3068m)Day 6: Mweka Camp (3068m) to Mweka Gate (1640m)Thanks to our lead guide David, assistant guide Raymond, Cubs Expeditions and the whole team of porters that helped us on the journey. And thanks to George and Jon for coming with me - and starring in most of the footage as I was the one holding the camera...Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.ukFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmathsGet your Tom Rocks Maths merchandise here:beautifulequations.net/collections/tom-rocks-maths
Tom Rocks Maths World Tour 2024 Tom Rocks Maths 2023-09-03 | University of Oxford Mathematician Dr Tom Crawford will be travelling to Australia, New Zealand, Malaysia, Singapore, China and surrounding countries from May - October 2024. Request a visit from Tom here: tomrocksmaths.com/contactProduced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.ukFor more maths content check out Tom's website tomrocksmaths.com You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.facebook.com/tomrocksmaths twitter.com/tomrocksmaths instagram.com/tomrocksmathsGet your Tom Rocks Maths merchandise here:beautifulequations.net/collections/tom-rocks-maths
