Hey there! Sign in to join this conversationNew here? Join for free
x Turn on thread page Beta
    Offline

    7
    ReputationRep:
    (Original post by TheMagicMan)
    Let's do some step qs. Ok here's the question.
    Which of the following statements are true and which are false? Justify your answers.
    (i) a^ln b = b^ln a for all a, b > 0.
    (ii) cos(sin µ) = sin(cos µ) for all real µ.
    (iii) There exists a polynomial P such that |P(µ) − cos µ|=< 6^10−6 for all real µ.
    (iv) x^4 + 3 + x^−4 > 5 for all x > 0.

    Nice and easy A gentle start

    I'm not sure that this was a good q to choose. It is extremely easy
    Ahhh the days of STEP and the good ol' Siklos booklet

    But Jeez you guys are keen, this time last year I was still considering taking physics...
    Offline

    2
    ReputationRep:
    (Original post by Aristotle's' Disciple)
    No worries. And do you mean Edinburgh is moving to 9k a year this year?! :O
    Yes, if you aren't Scottish/EU. (And no, English doesn't count as EU. Doesn't make sense to anyone else either.)
    Offline

    3
    ReputationRep:
    (Original post by jonnyboy1993)
    Ahhh the days of STEP and the good ol' Siklos booklet

    But Jeez you guys are keen, this time last year I was still considering taking physics...
    I'm actually doing physics

    Well maths and physics anyway...
    Offline

    9
    ReputationRep:
    Heya, new poster here!
    Here's my 5 choices for UCAS:
    Oxford
    Bath
    Durham
    Lancaster
    York.
    GCSEs: 6A*s, 6As and 1B.
    A Levels:A* in Maths
    AS: A in Physics
    A in Music
    B in Chemistry
    Predicted A* in Further Maths once I actually get cracking with it (Cos my school does it the weird way where you take the whole A level in a year)

    Anyway, mainly I'm here to say hi and to meet my (hopefully) maths buddies!
    Offline

    0
    ReputationRep:
    (Original post by Aristotle's' Disciple)
    I am indeed! You?
    sure am! what time are your talks?
    Offline

    12
    ReputationRep:
    (Original post by Aristotle's' Disciple)
    Depends on UMS, if it averages above 90%, go for it. Their average is higher though, bear that in mind.
    no, they don't average 90's they only average 90 across my pure modules

    can you recommend me any other universities? (can be outside London).

    do you think I stand a chance at applying to Bristol for G100?
    Offline

    19
    ReputationRep:
    (Original post by TheMagicMan)
    Let's do some step qs. Ok here's the question.
    Which of the following statements are true and which are false? Justify your answers.
    (i) a^ln b = b^ln a for all a, b > 0.
    (ii) cos(sin µ) = sin(cos µ) for all real µ.
    (iii) There exists a polynomial P such that |P(µ) − cos µ|=< 6^10−6 for all real µ.
    (iv) x^4 + 3 + x^−4 > 5 for all x > 0.

    Nice and easy A gentle start

    I'm not sure that this was a good q to choose. It is extremely easy
    I should be able to do these but I'm not sure how to justify them lol. Tips? :P
    Offline

    0
    ReputationRep:
    (Original post by Aristotle's' Disciple)
    Depends on UMS, if it averages above 90%, go for it. Their average is higher though, bear that in mind.
    Can UCL see UMS?
    Offline

    19
    ReputationRep:
    (Original post by Ilyas)
    no, they don't average 90's they only average 90 across my pure modules

    can you recommend me any other universities? (can be outside London).

    do you think I stand a chance at applying to Bristol for G100?
    Hmm, pure is more important than applied. Apply anyway, if you really want to. Bristol should be fine, they don't ask for UMS. Umm, look at Warwick? And what else can I mention, St. Andrews, pretty far though. :P Perhaps look at Kings College London?
    Offline

    19
    ReputationRep:
    (Original post by Jampolo)
    Can UCL see UMS?
    Yhupp, they specifically ask you for it, plays a pretty heavy role according to the admissions tutor I emailed.
    Offline

    19
    ReputationRep:
    (Original post by Jampolo)
    sure am! what time are your talks?
    Not sure, all in the Zeeman building though. When I get home I'll check my timetable and message you.
    Offline

    3
    ReputationRep:
    (Original post by Aristotle's' Disciple)
    I should be able to do these but I'm not sure how to justify them lol. Tips? :P
    Ironically i) is the most difficult
    I'll give you a clue: out of ii),iii) and iv) one can be solved by considering large numbers, one can be solved by counterexample, and one can be solved by a useful substitution

    My tip for i) is that it can be solved by replacing b (or a ) with something involving e
    Offline

    19
    ReputationRep:
    (Original post by Miller693)
    Heya, new poster here!
    Here's my 5 choices for UCAS:
    Oxford
    Bath
    Durham
    Lancaster
    York.
    GCSEs: 6A*s, 6As and 1B.
    A Levels:A* in Maths
    AS: A in Physics
    A in Music
    B in Chemistry
    Predicted A* in Further Maths once I actually get cracking with it (Cos my school does it the weird way where you take the whole A level in a year)

    Anyway, mainly I'm here to say hi and to meet my (hopefully) maths buddies!
    Hello! Dude, why's there no Warwick? :P Interesting UCAS! Your grades look solid, good luck on Oxford, hope to see you participating in our keen mathematical discussions.
    Offline

    0
    ReputationRep:
    (Original post by Aristotle's' Disciple)
    Not sure, all in the Zeeman building though. When I get home I'll check my timetable and message you.
    Mine are all Zeeman and from 11 until like 3. Maths, MMORSE, and some thing about beautiful maths haha
    Offline

    14
    ReputationRep:
    (Original post by Jampolo)
    A little birdy tells me your going to the Warwick open day?
    By little birdy do you mean the previous page of this thread?


    Hmm am tempted to go - have booked but not sure. It's a 2 and a half hour drive and I don't know if it'll be that useful. In the end I'm almost 100% certain I'll be applying so the open day would almost be just for the sake of it.
    Offline

    1
    ReputationRep:
    (Original post by Aristotle's' Disciple)
    Dude, why's there no Warwick?
    Middle of a field ffs

    (i still plan on visiting just to confirm that i don't want to study there)
    Offline

    19
    ReputationRep:
    (Original post by Jampolo)
    Mine are all Zeeman and from 11 until like 3. Maths, MMORSE, and some thing about beautiful maths haha
    Dude, you have literally the same as me I think. Although Beautiful maths clashed with Stats and I think I chose Stats and Maths instead. I wonder what that says about me. (I only did it because the beauty one was 30 mins and the other was an hour lol)
    Offline

    14
    ReputationRep:
    (Original post by TheMagicMan)
    Ironically i) is the most difficult
    I'll give you a clue: out of ii),iii) and iv) one can be solved by considering large numbers, one can be solved by counterexample, and one can be solved by a useful substitution

    My tip for i) is that it can be solved by replacing b (or a ) with something involving e
    I thought i) was extremely easy.

    Natural log both sides to get

    ln(a^lnb) = ln(b^lna)
    ln(b)ln(a) = ln(a)ln(b)

    That's it isn't it!?
    Offline

    14
    ReputationRep:
    (Original post by Aristotle's' Disciple)
    Dude, you have literally the same as me I think. Although Beautiful maths clashed with Stats and I think I chose Stats and Maths instead. I wonder what that says about me. (I only did it because the beauty one was 30 mins and the other was an hour lol)
    Haha I had exactly the same thought process - took the longer one to make it more worth it!
    Offline

    19
    ReputationRep:
    (Original post by dnumberwang)
    Middle of a field ffs

    (i still plan on visiting just to confirm that i don't want to study there)
    But in a field, there a sheep! And sheep are funny creatures, baa for no particular reason, sheep are vain, they long to hear their own voice. I dunno. :/ But Warwick sounds brilliant, I'm more excited about the course tbf, closest thing to Cambridge I have. :P
 
 
 
Reply
Submit reply
Turn on thread page Beta
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

Updated: October 31, 2013
Poll
Are you going to a festival?

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.