#21




Re: Math Thread
I'm going to fail the AP Calc test and have to take Calc 1 in college.
Sometimes I wish I wasn't majoring in a science. 
#22




Re: Math Thread
I guess I never really introduced myself in my previous post. I'm currently studying engineering physics, though my master's degree is going to be in mathematics (which, I realized after three years, is in many ways more enjoyable than physics). Right now I'm working on my bachelor's thesis in combinatorial game theory, and I am very, very stuck. (Game theory is great for studying disjunctive sums of games, but the game I'm studying never seems to break down into sums...) Hopefully I'll have something to show for it by the end of this semester, but I'm pretty stressed about it.
I'm aiming for a teaching career, so I do some tutoring as well. Right now I'm teaching the firstyear students multivariable calculus (and learning a lot as I go). Tomorrow I'm going to introduce them to the method of Lagrange multipliers. How exciting! 
#23




Re: Math Thread
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Though that does scare me away from going into academia. If I'm asked to prove something in a homework I assume the question isn't incorrect and so know that it is true. Even if I can't prove it myself I'm at least sure a proof exists. I can't imagine how hard it is to be an actual mathematician who comes up with new proofs. I can imagine trying to prove something for ages only for it to end up being false in the end. I have a bit of an interest in Markov processes. They seem to have a lot of applications. I can't study it at university since I don't have the prerequisites (I took a bunch of pure modules instead of stats), but I do occasionally watch some lectures on them that MIT put on youtube. Quote:
People seem to love making pointless but impressive machines in Minecraft, doing it with dominoes should be a thing since it's much more difficult, slow, and can't be done by writing a computer program to do it for you. Also I have some dominoes that can attach to a "track" of sorts. As in, they can fall over as usual but they can't slide anywhere, using something like that could prevent accidental knocking over bits you don't want moving. Though if they wanted Guinness involved using something like that might have been considered cheating. Quote:
Though I also get the same feelings relating to computer science so in the end maths is a bit of a middle ground that I'm glad to be studying after all. I did a course on game theory last semester. It was interesting but it wasn't quite my thing. I've got to wonder though how you come up with payoffs? We learned lots of methods to work out who things like what player has more sway or something like that but a lot of questions we were given provided payoffs for us to use. I'd imagine there are some situations where working out what the payoffs are would need you to measure something not easily quantifiable? (I'm probably talking nonsense and sounding stupid to you, aren't I?) I have to chose what subjects I want to learn next year now. I have a vague idea here and there but it's going to take a while for me to decide entirely. The annoying thing about looking through descriptions for courses is that if I don't know the words it uses it makes me think it's too hard for me. But I don't know them because I haven't learned them yet! When I do know the words I assume they're too easy. I don't know what I could do! It might be easier if I had any idea at all what I want to do when I grow up. The kind of maths I enjoy constantly changes too. One day I prefer algebra, then it's topology, then it's number theory. So far the only thing I've decided I'm definitely going to do next year is cryptography. EDIT: Also, another maths thing I want to say. I know the proofs and I understand them, but no matter how hard I try I just can't get my head around the fact that: 1) The number of real numbers is greater than the number of rational numbers 2) The rational numbers are dense in the real numbers At the same time. Both individually make sense to me. Putting them together make my head hurt. Last edited by Murkrow; 04102014 at 04:42 AM. 
#24




Re: Math Thread
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"Monday: Try to prove theorem Tuesday: Try to prove theorem Wednesday:Try to prove theorem Thursday: Try to prove theorem Friday: Theorem false"
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WONGA 
#25




Re: Math Thread
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