If you want to see more of the Maths taught at Oxford check out the 'Oxford Calculus' playlist here: kzbin.info/aero/PLMCRxGutHqflZoTY8JCm1GRzCdGXvZ3_S
@8rboy3 жыл бұрын
Two years ago, I was 22. Working a dead end job and felt sick and tired of it, didn’t know what to do in life. Back when I was in school, I wasn’t a very bright student nor very interested in any of the subjects. Therefore, I failed every math class and couldn’t apply for university because of that. I decided to fix it so I started from scratch in math (I don’t lie when I say that I didn’t understand math) and actually enjoyed it very, very much. Now, I am 24 and this fall I will study mechanical engineering at a university in Sweden. I just want to thank every youtuber out there who makes videos about math and showing us how wonderful and interesting it can be, if done right.
@lolhaha19213 жыл бұрын
Good luck! I have my mock gcse in a couple of months rip
@ivanbeales31963 жыл бұрын
@@lolhaha1921 I’m sure you’ll do great 👍
@Saujas28 күн бұрын
you will be graduating soon, how has the experience been so far? i bet terrible cause the folks at uni just dont have the dive and motivation to explain things,,,
@8rboy17 күн бұрын
@@Saujas I graduate in 18 months, so not much more left. It's been really a great ride. I have not only been able to study interesting topics, but I have also met so many new people I can call friends for life.
@Saujas17 күн бұрын
@@8rboy I know the topics are interesting, I am just the teachers aren't great at explaining things. They might hold doctorate and papers nonetheless
@thomasking6843 жыл бұрын
We completed the differential equations topic recently in further mathematics and this gave me a greater understanding of how it all works, thanks Tom :)
@TomRocksMaths3 жыл бұрын
You're very welcome Thomas :)
@Stoic_Persistence3 жыл бұрын
You're just the best teacher ( professor) i've ever regarded. When i'm studying your videos it's not just the obligation to learn for school, it's the joy i have to learn new stuff. When you have some trouble in your life just think of your aid you served for all the students, including me. 😊
@TomRocksMaths3 жыл бұрын
@RC32Smiths013 жыл бұрын
I'm a simple man, I see Differential Equations, I click.
@usernameofnik3 жыл бұрын
I had been scrolling the youtube for 10 mins, finding something genuine and interesting to explaining this theorem, I couldn't believe that I got so much from a single video. Can't put enough thanks into words 🔥❤️👍
@TomRocksMaths3 жыл бұрын
glad you found it helpful :)
@augustus77653 жыл бұрын
Hi Tom Thank you for the great video. I am a second semester physics major with I minor in mathematics. Tomorrow I will write my calculus 2 exam. Always astonished who easy you can explain this topics. I think it is very important to have people like you explaining mathematical concepts to a wider audience, in school math stops at the point where it gets creative and becomes more like art. You do a great job (not just in this video) in showing people what math really is about. You are a great inspiration to me. Thank you for all the work you do :)
@TomRocksMaths3 жыл бұрын
hope it went well!
@gddanielk84912 жыл бұрын
This helped me look just a little deeper into the topic after teaching the further maths chapters to myself recently. So interesting how even though they strip it back for exam purposes, there’s so much more to explore!
@markhilliam29323 жыл бұрын
Im just a highschool student,but the nerdness inside cant stop me from watching this.I hope i can go oxford one day
@polka6783 жыл бұрын
Not with that grammar.
@markhilliam29323 жыл бұрын
@@polka678 hahaha
@markhilliam29323 жыл бұрын
@@polka678 i have envisioned people like you to comment.
@xd-qi6ry3 жыл бұрын
@@polka678 so your the guy that copy and pastes comments very nice.
@markhilliam29323 жыл бұрын
@@bigpushing7167 thanks
@chilledvibes993 жыл бұрын
Incredible how clearly and concisely you can put across some quite complex ideas. I'm currently towards the end of my first year of a mathematics degree and I wish I could have you as a professer. It is helpful seeing the "why" behind things not just the "how".
@TomRocksMaths3 жыл бұрын
Awesome - thanks Adam :)
@jackpoore78663 жыл бұрын
Love this! I’m currently in the 3rd year of my MMATH and ODEs still amaze me. We recently studied this class of ODE but using a series ansatz rather than exponential
@TomRocksMaths3 жыл бұрын
I teach that method to my second years in what we call Differential Equations II.
@johnchessant30123 жыл бұрын
Nice explanation! Even though I've taken some of these classes before, it really helps to hear you talk about it
@SmokeSolo19753 жыл бұрын
The only things I remember about my degree ove 20 years ago was 2 things. Lotka Voltera modeling and using runge kutta approximations to solve differential equations using excel as a modeling tool. And I had a tutor who marked me down as I used orbital theory to show why a black hole is black due to when light particles get too close to a centre of gravity, it always ends up orbiting towards the gravitational centre. I supposedly wasn't meant to ask what if a planet was a light particle instead, and a star was a black hole. Thanks for reminding me how much I enjoyed maths all those years ago.
@mil91023 жыл бұрын
@Mohamed Ababou are you okay?
@MrRyanroberson13 жыл бұрын
a bit more of a literal justification: because of that cancellation. it's a function that is never zero and is a(n algebraic) factor of its derivatives, which is exactly the requirement for it to cancel in that way. if you only have even-order derivatives, for example, you could just as easily use cos, sin, cosh, sinh, or any other d^2 f(x)/dx^2 = kf(x) function instead. So as a motivation, it's a guess that's basically trivial to check and work through, and for the likelihood that it gives a solution, it will save tons of time in the long run to just try it from the start regardless.
@kost4sk1763 жыл бұрын
This is exactly what i wanted to watch !!!!!
@nates12023 жыл бұрын
Me being in HS trying to ask math questions none of the teachers don't understand and here you are asking them so clearly. Thank you
@TomRocksMaths3 жыл бұрын
You're very welcome :)
@xd-qi6ry3 жыл бұрын
I have 2 maths teacher in highscool that explain them very well, deffinitely something hard to find but i know university vs highschool the teachers are just so much better and the ways and techniques they give you make you think why did my hs teachers not do this, it’s hell.
@h4z4rd283 жыл бұрын
Oh yes, i want to study at Oxford
@sparkleguy993 жыл бұрын
One of the 1st things you do in physics is investigate what influences the time of oscillation T = 2pi * sqrt(l/g) the only thing that influences the time is the length of the pendulum not the angle or the height of the pendulum.
@_okedata3 жыл бұрын
And what assumptions do you make about the angle of the pendulum?
@increasing_entropy50733 жыл бұрын
Did i hear (Differential) equations stripped?
@Wolyzz-bk7qs3 жыл бұрын
Would be cool to see you try a Singaporean A Level maths paper
@camerontrew2143 жыл бұрын
Such a great video, makes me even more excited to start maths at uni (not Oxford but still)
@TomRocksMaths3 жыл бұрын
Good luck!
@gurkiratsingh7tha9933 жыл бұрын
Dear sir Tom, I am researching on Riemann hypothesis for the last 3 years and successfully I have found a formula for 'a' in Zeta(a+ib) in terms of 'b' and some hard looking definite integrals which are in terms of 'a' and 'b'which I was not able to solve so I am challenging you to solve those integrals . I used Riemann xi function and Riemann functional equation for Zeta function to find the formula for 'a'. Please make a video on those integrals. Integrals are:- 1)integral from 1 to infinity of x^((a-2)/2)*f(x)*cos(ln(x)*b/2) + x^(-a-1)*f(x)*cos(ln(x)*b/2) 2)integral from 1 to infinity of x^((a-2)/2)*f(x)*sin(ln(x)*b/2) - x^(-a-1)*f(x)*sin(ln(x)*b/2) Where f(x) = summation from n=1 to infinity of e^(-(n^2)*π*x)
@MeMyselfForWho3 жыл бұрын
You use the word Ansatz in english as well?
@garidmandakh66213 жыл бұрын
I just really miss my old regular classroom lessons, and every time chalk is touched on board, it sounds satisfying.
@TomRocksMaths3 жыл бұрын
chalk is the best.
@paulopaulos84243 жыл бұрын
Just found you on KZbin. I don’t know why… I mean, I don’t understand nothing about maths. For me 2+2=5. 😳 Keep up the good work. From Spain 👍
@johnhippisley91063 жыл бұрын
Why would we not have a different solution for each root of the auxiliary equation? Why is it that we must take the combination?
@TomRocksMaths3 жыл бұрын
The fact that the differential equation is linear means that if a(x) is a solution and b(x) is a solution then so too is a(x) + b(x). Therefore we add them together to get the 'most general' solution.
@sachamoser82913 жыл бұрын
thanks for the video Tom!
@TomRocksMaths3 жыл бұрын
Any time!
@Subhan_2323 жыл бұрын
I wish I could go back 4 years and take further maths instead of Biology at A level and apply for Oxford to be a student of the coolest professor ever 😂
@TomRocksMaths3 жыл бұрын
@davidrobins10213 жыл бұрын
Same. Wish I could go back 26 years and do physics and further maths instead of geology and biology. The trouble is that when you're 16, you often don't know where your real interests lie.
@cya3mdirl1583 жыл бұрын
@Tom Rocks Maths When you explain a Banach Spaces?
@baylordsett27393 жыл бұрын
seriously, this will save my A level Further
@TomRocksMaths3 жыл бұрын
Best of luck!
@NateCrownwell3 жыл бұрын
Awesome video! Have you studied Lambda Calculus?
@adityachaudhary56743 жыл бұрын
One more heart Tom!!!!😘
@edmondscott74442 жыл бұрын
What if m1 = m2.
@mathsmadefun64843 жыл бұрын
Do a gcse maths paper edexcel
@physicsa54413 жыл бұрын
Could you please, make a video on second order differential equations with variable coefficients
@TomRocksMaths3 жыл бұрын
thanks for the suggestion - I've added it to my list :)
@haha-qj8pw3 жыл бұрын
What sorts of maths modules do you teach to physics students, if any?
@TomRocksMaths3 жыл бұрын
Physics students will learn some maths modules but they are organised by the physics department rather than maths. I do teach my mathematicians lots of 'physics' though for example quantum theory, fluid mechanics, special relativity...
@haha-qj8pw3 жыл бұрын
@@TomRocksMaths can you show some of the ways the differential equations, you have discussed, can be a suitable language to model oscillations?
@marcread32223 жыл бұрын
if we study subjects that are not well-posed what is its importance?
@TomRocksMaths3 жыл бұрын
Some of the most fundamental systems are not well-posed, eg. Navier-Stokes, double pendulum etc. Theses things exist in the real-world so they are worth studying!
@marcread32223 жыл бұрын
@@TomRocksMaths I suppose whether a system is well posed or not allows us to choose an appropriate method of studying the system?
@judedavis923 жыл бұрын
I know it doesn’t rly matter but I get the shivers when he holds the chalk like a pen 😫
@farhanshaqib87463 жыл бұрын
They are in normal a level maths
@SuperCaptain43 жыл бұрын
Mohamed Ababou is the aluminum foil hat version of a mathematician 😂
@ujjwalprasad35753 жыл бұрын
How can we apply ode in real world application
@TomRocksMaths3 жыл бұрын
Anything involving a 'rate of change' will require a derivative of some sort.
@ujjwalprasad35753 жыл бұрын
@@TomRocksMaths can we pursue astronomy after msc maths
@maruf101553 жыл бұрын
y=0 is a solution to the equation. my question is how do the equation has an unique solution?
@TomRocksMaths3 жыл бұрын
this can be proven with something called 'Picard's Theorem'
@shinjiikari02903 жыл бұрын
nice. tnx prof.
@Hboojy3 жыл бұрын
When ur in yr 12 and thought the first principle of differentials was gonba be the hardest thing 😳
@peterpoli28393 жыл бұрын
As a second year Physics student at cambridge, you got a hell of a lot more coming mate.
@paultan54193 жыл бұрын
@@peterpoli2839 Im curiuos, what kind of physics are you doing right now. Im also second year at a different uni. Doing a lot of (basic) quantum mechanics, and stat mech
@peterpoli28393 жыл бұрын
@@paultan5419 I do thermodynamics, quantum, condensed matter physics right now for this term.
@Hboojy3 жыл бұрын
@@peterpoli2839 yh im doing physics and maths and im about to finish the AS half and its already hard.
@paultan54193 жыл бұрын
@@peterpoli2839 nice! Do you prefer thermo or quantum. I find the maths of the latter more interesting, hoenstly thermo feels much harder imo. Gotta be really good at real lie applications and stuff aye.
@matthewdearsley1233 жыл бұрын
I do not understand Long Division, it's like it's out there with it's own language for one purpose.... . Why is it so unique? Strangely I understand it for polynomials, even then it's still an odd form of algebra
@vijaysingbundhoo73933 жыл бұрын
Grateful if you could kindly clarify the motivation behind the initial assumption that y eqals e to the power of mx where m is a constant.
@TomRocksMaths3 жыл бұрын
It's basically an educated guess! That's what i'm explaining in the video.
@CAT124803 жыл бұрын
whagt only 22?
@itsreeah26633 жыл бұрын
Maths hug???
@alibasaradja52553 жыл бұрын
I'm mathematics student I would like to study.. In competitive universities with free tuition can... You help me sir
@blaze73453 жыл бұрын
what a lad
@arthurthompson78773 жыл бұрын
I’ll never understand why y= the sun of the 2 roots
@TomRocksMaths3 жыл бұрын
because it's a 'linear' equation it means that if we have several solutions we can add them together and still get a valid solution. This isn't true for 'non-linear' equations.
@arthurthompson78773 жыл бұрын
@@TomRocksMaths idk still seems a bit Alien, like I understand the proof of why It works, I think it’s more the fact I had to learn this myself as of corona virus lockdown
@aniketeuler64433 жыл бұрын
Differential equations are the language in Which the whole of the universe is written as they study change 😀😀
@mugen23693 жыл бұрын
Why do I see Mohamed ababou everywhere😂😂😂😂😂
@LeRainbow3 жыл бұрын
I’m currently studying the analytical solutions of the heat transfer equation which at the base of it all is just a partial differential equation. (c*p/lambda) dT/dt = nabla^2 * T + Eta 👀 to be able to better regulate heat issues in LiIon battery backs, lol. (:
@sagacioussigma5273 жыл бұрын
just a quick question: why are you a genius?
@sharoonaftab88943 жыл бұрын
Maybe cause he studied maths seriously instead of just hoping to pass.
@aeulia43593 жыл бұрын
Mohamed ababou is like half the comments
@science_dar30223 жыл бұрын
I have no idea what's going on here. I just clicked because of the title "Oxford mathematics." 😅
@Iwanchek3 жыл бұрын
I lost you completely after the letter; a…(first line) and I got the alpha….male….ok….quadratic…..ok….I go off it’s to much tho! Mohave a good day/night/month/year!! (Keep up Profesor!)
@Logicallymath3 жыл бұрын
me: I like your funny words magic man
@jplikesmaths3 жыл бұрын
Too bad most ODEs in real life aren’t linear and so this magical method isn’t used that much
@someaverageguy27043 жыл бұрын
I want to be accepted into Oxford just so I can be the guy to reject the top university in the world