Admissions interview - typical maths question.
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- Опубликовано: 16 ноя 2020
- Extract from the University of Cambridge video about interviews, with advice applicable to Mathematics interviews, and a typical maths interview question.
Wondered what an online maths interview will be like this year? Check out this full length demo at • Video
The full University video "The Interview" with information about other subjects is available at • The Interview
The fact that the woman is able to write upside down without any problem...
The nervous laughter cracks me up every time 😂😂
No way the Math one is that easy. I'm 95% sure that they put an easier one for video purposes.
definitely. mine was way harder
@@RazorFistMusicOuttaTheWorld What was your question that they gave you?
This isn't an interview for maths, but for natural sciences. Maths questions would surely be harder
and interview for a maths undergraduate course will have harder questions, this is most likely for natural sciences, computer science, etc.
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?
sin(x)=x -> f(x) = 1 foralll x.
Congratulations you are now an employed engineer.
the fuks the fbi doing here
quick burn the hard drive
haha. Other ways to become employed as an engineer is to note that 3^2=pi^2=g=10
@@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
Imagine the stress of the camera AND the interview combined. Co ngrat to that girl !
If I ever see question like this, I would make graph of the equation and see what that looks like.
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.
@@Treviscoe graph is discontinued at x=0
@@samuel08790 No it is 1.
@@bawseeeee602 no, the function approaches 1 around x=0, but it's undefined at x=0
@@Rokkc you're not allowed to use lhopital for sinx/x, its a mathematical definition
Awesome criteria to look for😊😇
Mathematics is the Art of Simplification.
i would walk straight out of the interview
Lol
very easy math shown in that video!
My interview is this Wednesday at 5:15pm... can’t wait but also so nervous!
mine is on 12pm on wed as well!
@@ngocanhdoan4835 Mines wednesday too!
hope it went well!!
how’d it go?
tell us how it went!
Want to short vedio clips on Mathematics. Thanks.
Me: get up from the seat and exit thru the door
Be more like you. Wow!
how would you actually solve these kind of plot the nature of the graph questions?
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.
Sorry but sin(x)/x is a very common question in calculus 1
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.
True calculus is a college course. Many high schoolers do take calculus as seniors.
@@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.
Final year of high school in US the students are classified as seniors.
@@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
It’s very difficult to do math on the computer, how is that going to be solecrd?
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:
ruclips.net/video/UqL5aRpMQE4/видео.html.
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
@@MathematicsatCambridge I think he meant 'scored'.
@@cloroxbleach7554 Bruh that's the worst typo ever
🎶🎵 Dr Keeler, he makes me happy. Dr Keeler in the morning Dr Keeler when it's closing time 🎶🎵
Cambridge interview chemistry
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
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) :)
.
@@adrianwongso3784 oh!! I didn't know about the examination! Thanks!!
Yes, but this interview is probably for a BSc and not for a MSc.
I'm pretty sure this is not the full depth of mathematical questioning being asked lol
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.
she hasnt seen sinx/x.
is this undergrad interview or what
p = np 7 problem solution 777
Divide p on both sides and n=1 ez where is my million bucks
@@h4z4rd28 What if p=0 though?
@@farazriyaz9078 bruh man you dont know that p stands for prime?😂
@@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
@@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
*This is soo easy. Is that a Masters question?*
I will shake to see a teacher writing upside down😮
The question is too easy lol
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💝👍
Lhopitals rule?
@@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.
it is indertemined there but limx->0 is 1
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.
@@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.
but sinx/x=1...
Put x=90 and your equation fails. Because then y=1/90
@@afrinahmed1620 its a meme.. dont take it seriously
The unit of x axis is radian not degrees
Start by the Taylor series expansion of the function around the origin and you quickly see the parabolas emanating. Now that would impress the interviewers. But then you have to be careful not to embarrass them in the process else you'll be disqualified.
@@spicyy812 Exactly, I know😊😇
Wat, pieces of a function? I have never heard a function ever being described like that. NB. sin(x) / x is quite a common of the 'trick' question. Sitting there gawking at the student expecting them to answer the question doesn't help. Let them explore the problem at their leisure. You can almost feel the tension and nerves in the room. The establishment is so entrenched in its ways, that it's all wrong. Rubbish!!
Hahahahaha yep it was a horrible experience for me last year. Even though I didn't get in I'm kind of glad, since I would have enjoyed learning in that environment even for a second
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.
over half of the people who study at cambridge went to non private schools
@@benatronbtang6877 A policy since year 2000
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.
Everyone here is such a nerd you will probably not even get in lol
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.....
You soon realize that the world revolves on BS. This is just that first step.
Not really true tho is it look at they admission stats
Not true at all salty because you cant get in
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
@@hungryhog1 The number your state school sends is irrelevant. How many get a place? Probably zero. Smegma College Worksop get zero also.