bloodhound Posted April 12, 2004 Share Posted April 12, 2004 Anyway. I am a Maths Student at University of Nottingham. Just about to finish my first year. Have exams in may/june. Ok then. introductions over, ill give u a started question: Find all integer solutions for ab=ba given that 0<a<b. Its a really nice question I found in a book. It has a nice solution as well. ooh dont bother with that question. i see that its been asked in other sub forums HEHE anyway later Link to comment Share on other sites More sharing options...
bloodhound Posted April 12, 2004 Author Share Posted April 12, 2004 Since pple have asked this question before in other forums. ill post my solution to it anyway take a function f where f (x)=ln(x)/x therefore a^b=b^a if and only if f(a)=f(b). now differentiating f(x) u will find that there is a maximum at x=e. therefore the function f is increasing for x<e and decreasing for x>e. therefore its not possible for both a,b <e or a,b >e cos then f(a) will never be equal to f(b) for a<b so the only solutions possible is a<e and b>e . now we have 0<a<e. and a is an integer. therefore a=1 or a=2. putting in a=1 we get b=1 which is not a solution as we need a<b. the only other soultion is a=2. puting in a=2 and solving f(b)=f(2) by similar method or however u want we get b =4 . therefore the only solution to a^b=b^a for 0<a<b is a=2,b=4 Link to comment Share on other sites More sharing options...
Dave Posted April 12, 2004 Share Posted April 12, 2004 At last, a solution That one's been plaguing the forums for a while now, cheers. (ditto btw, I'm a first year at warwick). Link to comment Share on other sites More sharing options...
bloodhound Posted April 12, 2004 Author Share Posted April 12, 2004 glad to be of some help. hows maths in warwick. i heard its one of the best. was having a look at some of u problems in the competition sections. quite good questions. Link to comment Share on other sites More sharing options...
Dave Posted April 12, 2004 Share Posted April 12, 2004 Bloody tough But then again, I suppose it's going to be the same kindof experience no matter where you go. Link to comment Share on other sites More sharing options...
bloodhound Posted April 12, 2004 Author Share Posted April 12, 2004 Maths is Nottingham is also one of the best if u look at the tables. The timetable is very light though. so thats good. i have a fren who studies maths at imperial. also another frens roommate also does maths. and when i look at the work they get and their timetable, i thank god that i went to nottingham. Link to comment Share on other sites More sharing options...
Dave Posted April 12, 2004 Share Posted April 12, 2004 Our timetable's pretty crammed. Last term, I had 9am-6pm with a 1 hour break in the middle, average about 25 contact hrs per week. Link to comment Share on other sites More sharing options...
bloodhound Posted April 12, 2004 Author Share Posted April 12, 2004 lol . thats a lot. I have about 11 hrs a week of lectures and about 3 hours of problem class and 1 hour group tutorial a week. but i never go. i got told off for not attending problem classes at all. Link to comment Share on other sites More sharing options...
Dave Posted April 12, 2004 Share Posted April 12, 2004 git Link to comment Share on other sites More sharing options...
bloodhound Posted April 12, 2004 Author Share Posted April 12, 2004 yeah. its pretty relaxed. love it. i think the second year goin to be tough. Link to comment Share on other sites More sharing options...
Dave Posted April 12, 2004 Share Posted April 12, 2004 Definately, especially with the amount of modules I have to do, plus an essay that lasts 2 terms. Link to comment Share on other sites More sharing options...
bloodhound Posted April 12, 2004 Author Share Posted April 12, 2004 i hope i wont have to do any essays. are u doing a MMath course? apparently the whole 4th year we spend doing a thesis. phew. ill probably do it the night before Link to comment Share on other sites More sharing options...
Sayonara Posted April 12, 2004 Share Posted April 12, 2004 Oh lordy; now there are two of them. Link to comment Share on other sites More sharing options...
bloodhound Posted April 12, 2004 Author Share Posted April 12, 2004 is that a bad thing sayonara? Link to comment Share on other sites More sharing options...
Dave Posted April 12, 2004 Share Posted April 12, 2004 i hope i wont have to do any essays. are u doing a MMath course? apparently the whole 4th year we spend doing a thesis. phew. ill probably do it the night before Yeah, I'm on the MMath. Whether I'll stay on it or not I'll see, but I doubt you'd be doing something that large the night before ;-) Link to comment Share on other sites More sharing options...
bloodhound Posted April 12, 2004 Author Share Posted April 12, 2004 so whats ur fav module rite now then Link to comment Share on other sites More sharing options...
Dave Posted April 12, 2004 Share Posted April 12, 2004 Favourite module would be analysis, followed pretty closely by linear algebra. Link to comment Share on other sites More sharing options...
bloodhound Posted April 12, 2004 Author Share Posted April 12, 2004 yeah. same here. analysis is wicked. followed probably by calculus Link to comment Share on other sites More sharing options...
bloodhound Posted April 12, 2004 Author Share Posted April 12, 2004 do u have to use maple. and have u got it? Link to comment Share on other sites More sharing options...
Dave Posted April 13, 2004 Share Posted April 13, 2004 We've had to do a module of Matlab, which sucked. Link to comment Share on other sites More sharing options...
bloodhound Posted April 13, 2004 Author Share Posted April 13, 2004 dont know about MatLab but Maple is Wicked Link to comment Share on other sites More sharing options...
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