Admissions interview - typical maths question.

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Mathematics at Cambridge

Mathematics at Cambridge

Күн бұрын

Пікірлер: 131
@arkarya8768
@arkarya8768 2 жыл бұрын
The fact that the woman is able to write upside down without any problem...
@adityasharma2380
@adityasharma2380 2 жыл бұрын
The nervous laughter cracks me up every time 😂😂
@sitrakaforler8696
@sitrakaforler8696 Жыл бұрын
Imagine the stress of the camera AND the interview combined. Co ngrat to that girl !
@fyradur
@fyradur 3 жыл бұрын
sin(x)=x -> f(x) = 1 foralll x. Congratulations you are now an employed engineer.
@dcmk4683
@dcmk4683 3 жыл бұрын
the fuks the fbi doing here
@dcmk4683
@dcmk4683 3 жыл бұрын
quick burn the hard drive
@NitroniumGaming
@NitroniumGaming 3 жыл бұрын
haha. Other ways to become employed as an engineer is to note that 3^2=pi^2=g=10
@stormtrooperfun2525
@stormtrooperfun2525 2 жыл бұрын
@@NitroniumGaming Or even better: ∫cos(x)dx from 0 to π/2 cos(x)=1 therefore we have ∫xdx from 0 to π/2 Fundamental Theorem of Calculus: (π/2) - 0 = π/2 Consider: π=e and e=2 2/2 = 1
@avesta5390
@avesta5390 3 жыл бұрын
My interview is this Wednesday at 5:15pm... can’t wait but also so nervous!
@ngocanhdoan4835
@ngocanhdoan4835 3 жыл бұрын
mine is on 12pm on wed as well!
@defene4966
@defene4966 3 жыл бұрын
@@ngocanhdoan4835 Mines wednesday too!
@katiegardiner4840
@katiegardiner4840 3 жыл бұрын
hope it went well!!
@zanerobison2956
@zanerobison2956 3 жыл бұрын
how’d it go?
@SilvioPorto
@SilvioPorto 3 жыл бұрын
tell us how it went!
@pinklady7184
@pinklady7184 3 жыл бұрын
If I ever see question like this, I would make graph of the equation and see what that looks like.
@Treviscoe
@Treviscoe 3 жыл бұрын
Sure, but that's a tricky equation to draw a graph of (which is why it's a question for a place at Cambridge), because of what happens at x=0.
@samuel08790
@samuel08790 2 жыл бұрын
@@Treviscoe graph is discontinued at x=0
@bawseeeee602
@bawseeeee602 2 жыл бұрын
@@samuel08790 No it is 1.
@sahydes
@sahydes 2 жыл бұрын
@@bawseeeee602 no, the function approaches 1 around x=0, but it's undefined at x=0
@prayogaliong5395
@prayogaliong5395 2 жыл бұрын
@@Rokkc you're not allowed to use lhopital for sinx/x, its a mathematical definition
@Craloye
@Craloye 5 ай бұрын
Mathematics is the Art of Simplification.
@loneranger4282
@loneranger4282 2 жыл бұрын
No way the Math one is that easy. I'm 95% sure that they put an easier one for video purposes.
@RazorFistMusicOuttaTheWorld
@RazorFistMusicOuttaTheWorld 2 жыл бұрын
definitely. mine was way harder
@loneranger4282
@loneranger4282 2 жыл бұрын
@@RazorFistMusicOuttaTheWorld What was your question that they gave you?
@austenlamacraft
@austenlamacraft 2 жыл бұрын
This isn't an interview for maths, but for natural sciences. Maths questions would surely be harder
@bishy2007
@bishy2007 Жыл бұрын
and interview for a maths undergraduate course will have harder questions, this is most likely for natural sciences, computer science, etc.
@alish2950
@alish2950 9 ай бұрын
How would you approach drawing that? How would you know the Y value when X tends to zero? You knew l'hopitals rule at age 17?
@blaze7345
@blaze7345 3 жыл бұрын
i would walk straight out of the interview
@kevinbyrd4441
@kevinbyrd4441 Жыл бұрын
Lol
@afrinahmed1620
@afrinahmed1620 3 жыл бұрын
Awesome criteria to look for😊😇
@mrpeanutbutter6094
@mrpeanutbutter6094 3 жыл бұрын
Me: get up from the seat and exit thru the door
@tha5289
@tha5289 9 ай бұрын
very easy math shown in that video!
@MrPabloguida
@MrPabloguida 9 ай бұрын
Be more like you. Wow!
@chrisc475
@chrisc475 3 жыл бұрын
🎶🎵 Dr Keeler, he makes me happy. Dr Keeler in the morning Dr Keeler when it's closing time 🎶🎵
@kenichimori8533
@kenichimori8533 3 жыл бұрын
p = np 7 problem solution 777
@h4z4rd28
@h4z4rd28 3 жыл бұрын
Divide p on both sides and n=1 ez where is my million bucks
@farazriyaz9078
@farazriyaz9078 3 жыл бұрын
@@h4z4rd28 What if p=0 though?
@h4z4rd28
@h4z4rd28 3 жыл бұрын
@@farazriyaz9078 bruh man you dont know that p stands for prime?😂
@farazriyaz9078
@farazriyaz9078 3 жыл бұрын
@@h4z4rd28 Well, does it? P stands for Polynomial Time, and I don't think that has anything to do with primes. Correct me if I'm wrong haha
@h4z4rd28
@h4z4rd28 3 жыл бұрын
@@farazriyaz9078 P also stands for the set of all polynomials over some field but yeah, in this case its prime in my opinion. And btw i still didnt get my fields medal idk whats wrong with them
@smalmarufbillah_yt
@smalmarufbillah_yt 6 ай бұрын
Want to short vedio clips on Mathematics. Thanks.
@afrinahmed1620
@afrinahmed1620 3 жыл бұрын
sin0/0 will be a problem and so the function becomes undefined there and as a result you cannot draw the graph of undefined unless you are Ramanujan(the man who knew infinity) Just joking😂Love from India💝👍
@nonamesleft9699
@nonamesleft9699 3 жыл бұрын
Lhopitals rule?
@afrinahmed1620
@afrinahmed1620 3 жыл бұрын
@@nonamesleft9699Nice Bro😀😅 But only when lim x tends to zero. Here it is exact zero. There is no limit introduced here. Only the graph of the function is demanded.
@takyc7883
@takyc7883 3 жыл бұрын
it is indertemined there but limx->0 is 1
@bigshrekhorner
@bigshrekhorner 3 жыл бұрын
Uhh, you can perfectly draw the graph of this function. The fact it is undefined at 0 doesn't mean it's undrawable. If that was the case, 1/x would be undrawable too, because it's undefined at 0 When you want to see how a graph will behave when reaching a point at which it is undefined, you check the side limits (knowing the existence of the limit as a whole isn't necessary for drawing a graph). In this case, the lim of sinx/x when x is tending to 0 is 1, from both sides (you can check it using De L'Hospital rules) so what you do is make the graph so as to go close to 1 when x is approaching 0 and put a white circle on the point (0,1). Also, graphs of the type sinx*f(x) where f(x) is a polynomial, a logarithm, an exponential and prolly other shorts of functions, have the "property" that the sinx function is essentially deformed so as to match some of its points to those of the original f(x) and -f(x), thus making it easier to draw Edit: did a mistake with calculating the limit, it tends to 1 Edit 2: Influenced by the original sinx function, I initially said that the local maxima and minima of an f(x)*sinx are matched to points of f(x) and -f(x). Those points aren't necessarily local minima or maxima. Edit 3: just a heads up; when it comes to sinx/x, note that using De L' Hospital rules isn't considered a proper way to prove that lim(sinx/x) = 1 when x tends to 0. It's more of a way to confirm that.
@afrinahmed1620
@afrinahmed1620 3 жыл бұрын
@@bigshrekhorner Exactly sir, the behaviour of the graph will hint us that we need to put a white circle there but this also means that at x=0 we are not allowed to draw. That is what I said we can draw the graph but not at x=0 directly.
@rohithsudarshan6524
@rohithsudarshan6524 4 жыл бұрын
It’s very difficult to do math on the computer, how is that going to be solecrd?
@MathematicsatCambridge
@MathematicsatCambridge 4 жыл бұрын
Hi Rohith, I'm not sure what you meant when you typed 'solecrd'. If you want to see an example of how an interview will be conducted online this year, watch this: kzbin.info/www/bejne/i6KvZpSIpbKEe5Y. Whilst the physical set-up will be different, the content of the interview, and how Colleges assess candidates’ knowledge and potential will be the same as it is for in-person interviews. There is more helpful advice at www.undergraduate.study.cam.ac.uk/applying/interviews/online-interviews
@cloroxbleach7554
@cloroxbleach7554 3 жыл бұрын
@@MathematicsatCambridge I think he meant 'scored'.
@MidnightStorm4990
@MidnightStorm4990 3 жыл бұрын
@@cloroxbleach7554 Bruh that's the worst typo ever
@takyc7883
@takyc7883 3 жыл бұрын
how would you actually solve these kind of plot the nature of the graph questions?
@alastairritchie6925
@alastairritchie6925 Жыл бұрын
You would determine if there's any symmetry, see where the graph crosses the x and y axis (if it does cross). Find stationary points and their nature, find points of inflexion, find asymptotes and see how the value of the function changes as you approach said asymptote, and see how the graph behaves as x approaches infinity in the positive/negative directions.
@anmoljhamb8775
@anmoljhamb8775 3 жыл бұрын
Am I the only one who thought that the question was a bit easy? Like not that difficult. I am also a highschool student, and I had never seen this question before. How I proceeded was, first noticing the fact that the function is an even function, meaning it is symmetric about the y axis, and we don't need to draw from -2pi to 2pi, we just need to draw from 0 to 2pi, and for -2pi to 0, would be a simple mirror image. Next, I found the points of discontinuity, that being, x=0, we just find the lim sinx/x as x approaches 0, which we know is just 1, now the next fact, we know that sinx
@adrianwongso3784
@adrianwongso3784 3 жыл бұрын
well for people that is capable in math the question will be considered easy, its not for the average student though. Also the point of this interview question is just to show how you think its never meant to be hard (to compensate for that Cambridge has the STEP examination) :) .
@anmoljhamb8775
@anmoljhamb8775 3 жыл бұрын
@@adrianwongso3784 oh!! I didn't know about the examination! Thanks!!
@markusklyver6277
@markusklyver6277 2 жыл бұрын
Yes, but this interview is probably for a BSc and not for a MSc.
@earendilthebright5402
@earendilthebright5402 2 жыл бұрын
I'm pretty sure this is not the full depth of mathematical questioning being asked lol
@英語で学ぶ会計入門
@英語で学ぶ会計入門 5 ай бұрын
Why do they have interviews? Is is so they can let in the people they want? Seems especially dodgy in the area of maths because a) the exams are pretty objective and b) you could be very good at maths but not across well in an interview.
@irwinsaltzman979
@irwinsaltzman979 3 жыл бұрын
Sorry but sin(x)/x is a very common question in calculus 1
@babajani3569
@babajani3569 3 жыл бұрын
Yes but plz correct me if I am wrong. This is for high school students and from I know, calculus 1 is done at college.
@irwinsaltzman979
@irwinsaltzman979 3 жыл бұрын
True calculus is a college course. Many high schoolers do take calculus as seniors.
@babajani3569
@babajani3569 3 жыл бұрын
@@irwinsaltzman979 thanks for the info. Also, can you plz let in on what you mean by that (senior). I live in england so am not really familiar with the american education system but I am quite interested tho.
@irwinsaltzman979
@irwinsaltzman979 3 жыл бұрын
Final year of high school in US the students are classified as seniors.
@babajani3569
@babajani3569 3 жыл бұрын
@@irwinsaltzman979 ok thx. Also if you dont mind, cab you plz send s link yo the syllubus for everything that is covered in high school. I am quite intrigued. Thank you
@accideux5182
@accideux5182 3 жыл бұрын
The question is too easy lol
@ComFinStory-uw4fi
@ComFinStory-uw4fi 3 ай бұрын
Can anyone in his late 30s apply to study math at Cambridge or trinity
@jimbano4869
@jimbano4869 2 жыл бұрын
Cambridge interview chemistry
@tyssotteddy3167
@tyssotteddy3167 Жыл бұрын
*This is soo easy. Is that a Masters question?*
@aditya3984
@aditya3984 2 жыл бұрын
she hasnt seen sinx/x. is this undergrad interview or what
@BrokeBad
@BrokeBad Жыл бұрын
Everyone here is such a nerd you will probably not even get in lol
@spicyy812
@spicyy812 3 жыл бұрын
but sinx/x=1...
@afrinahmed1620
@afrinahmed1620 3 жыл бұрын
Put x=90 and your equation fails. Because then y=1/90
@spicyy812
@spicyy812 3 жыл бұрын
@@afrinahmed1620 its a meme.. dont take it seriously
@nischaysingh6952
@nischaysingh6952 3 жыл бұрын
The unit of x axis is radian not degrees
@afrinahmed1620
@afrinahmed1620 3 жыл бұрын
@@spicyy812 Exactly, I know😊😇
@afrinahmed1620
@afrinahmed1620 3 жыл бұрын
@Newtube Simple value putting will also do the same but yes the points will have to be carefully chosen and will take some time.
@jamesbedukodjograham5508
@jamesbedukodjograham5508 2 жыл бұрын
I am quite impervious to what women think about the Math Question. You know nervousness is actually the the first reason why I would fail the Cambridge Math interview. However hesitation is part of the Cambridge tutorial. In fact the School is obviously beyond the reach of those of us who went to State and Religious Schools.
@benatronbtang6877
@benatronbtang6877 Жыл бұрын
over half of the people who study at cambridge went to non private schools
@jamesbedukodjograham5508
@jamesbedukodjograham5508 Жыл бұрын
@@benatronbtang6877 A policy since year 2000
@dac8939
@dac8939 2 жыл бұрын
Seems far too basic. I was asked crazy stochastic calculus question. Even though most do not even study that until masters level, let alone degree. To be fair, they were not wanting an exact answer but just thought process.
@creamcheese3596
@creamcheese3596 3 жыл бұрын
What utter bullshit this is. The interviewers only have to check if the candidate attended Eton or Harrow or Rugby and if so, they are in, regardless of their interview. But if the candidate was very bright but attended Smegma College in Worksop they'd have no chance.....
@maria6451
@maria6451 3 жыл бұрын
Not really true tho is it look at they admission stats
@funwithflags7506
@funwithflags7506 3 жыл бұрын
Not true at all salty because you cant get in
@hungryhog1
@hungryhog1 3 жыл бұрын
What a load of nonsense. If you look at the stats most students are from state schools. My local state school sends 20 per year
@creamcheese3596
@creamcheese3596 3 жыл бұрын
@@hungryhog1 The number your state school sends is irrelevant. How many get a place? Probably zero. Smegma College Worksop get zero also.
@pinemarten6241
@pinemarten6241 3 жыл бұрын
How absolutely ridiculous. Admissions statistics repeatedly prove that Cambridge welcome all applicants, including those from disadvantaged backgrounds. You’d do best not to spread harmful misinformation like this
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