Celebrating 200K Subscribers! 🎉 Dr. Tom Crawford Answers Your Top Questions - Part 1

Oxford University Mathematician Dr Tom Crawford answers viewers questions to celebrate reaching 200,000 subscribers. Full list of questions below. Watch a further 77 questions in part 2 here: https://youtu.be/7QOorSDdVuc 1:45 Can you solve this problem? f(n)=10^n-(5+√n)^n-(5√17)^n 3:56 How can you manage your time effectively? 5:45 How much maths and what maths should be taught to engineering students? 7:39 Do you always have maths in your head? 9:20 What was one of the biggest things you got into trouble for at school? 11:11 How do you study hard courses? 13:18 If maths was a work of art what art would be best to describe it? 15:20 Do professors get interviewed and what type of questions do they get asked and what kind of interview process is it? 17:10 Are you naturally great at maths or is it just due to sheer hard work? 18:54 How talented at maths do you need to be to be successful? 20:46 Have you had any embarrassing facepalm moments? 23:27 Can you get me into Cambridge University? 26:14 What advice would you give to postgraduates? 28:56 Pi or tau? 31:22 Could you see maths being a good career choice for 2024 undergraduates? 31:24 If you could teach one mathematical concept, which one would you choose? 33:00 What exactly goes through a mathematical mind when they get an idea that could be published in a research programme? 36:00 As a mathematician, what do you think the odds are for finding intelligent life on another planet? 38:20 Prove Pythagoras theorem using trigonometry? 38:54 Solve the infamous question 6 from 1988 Olympiad? 39:20 Is there any way we can solve permutation and combination questions and explain Collatz conjecture in detail? 41:21 Exist any theorem for an isosceles triangle with top angle 20 degrees to be more specified in circumcentre of this triangle? 42:26 What were your GCSE and A level results? 43:35 How do you explain that mathematics is a representation of life? 45:04 Which maths question are you scared of? 46:14 What was your experience of the Cambridge step paper? 47:13 If you were alive during the life of Newton and Euler do you think you could have discovered their laws? 49:15 What is a derivative? 51:40 What is your daily motivation in the maths field? 53:23 How did you discover maths and how did you get interested in it? 55:29 Which subjects did you study at A level? 56:37 What discovery in mathematics could be the next turning point? 57:56 Why did you choose to study maths? 59:45 Are your tattoos permanent? Is your understanding of incompleteness related to problems we have yet to solve? 1:01: 37 How do you rank 1st at university as Oxford is so competitive? 1:03:28 How can you make money whilst studying at Oxford as it is so expensive? 1:05:28 Find the constant a and b that a(i-j) + b(j=k) is a unit vector parallel to i+k 1:05:50 How maths helps us with problem solving and how can we improve our analytical skills and critical thinking using maths? 1:07:17 What's your favourite maths pick up line? 1:08:14 What led you to applied maths over pure maths? 1:09:50 What are your favourite bands/musicians music artists? 1:10:45 Did you drink water today? What course would you take other than mathematics? 11:12:06 Have you won an award/prize for your research in maths? 1:13:16 Do you think IQ is the most important thing to study mathematics? Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: https://www.conted.ox.ac.uk/profiles/tom-crawford For more maths content check out Tom's website https://tomrocksmaths.com/ You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. https://www.facebook.com/tomrocksmaths/ https://twitter.com/tomrocksmaths https://www.instagram.com/tomrocksmaths/ A HUGE thank you to all of my patrons for their support: Dr Peet Morris John Hanson Rodhern Denise Cooper Healy Hiro Delicious Rose Bin Liu Check out the Tom Rocks Maths Patreon page here: https://www.patreon.com/tomrocksmaths/