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#1 2013-01-05 10:23:47
- Laughing Reaper
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Advanced Math Investigation Ideas
I am an eleventh grade student taking HL1 Math for the IB diploma. For the uninitiated, HL Math is essentially AP calculus, but covering more topics. Anyways, students have to do an Internal assessment, which in Math, takes the form of an investigation of the student's creation. I was wondering if anyone in this marvelous forum could hook me up with some investigation ideas, maybe centering on calculus, infinity, e, or 0. Really though, I'll take any ideas. I know the equivelent of College Freshman differential Calculus and Integral calculus, along with implicit differentiation.
Last edited by Laughing Reaper (2013-01-05 10:43:41)
#2 2013-01-05 10:57:02
- anonimnystefy
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Re: Advanced Math Investigation Ideas
You can do differential equations, or summations, or DUIS, or contour integrals, or...
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#3 2013-01-05 11:05:54
- bobbym
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Re: Advanced Math Investigation Ideas
Hi Laughing Reaper;
Welcome to the forum. You could show how e or pi or calculated by use of Taylor series. Or you could show how many formulas there are for either of them or both.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#4 2013-01-05 20:26:40
- bob bundy
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Re: Advanced Math Investigation Ideas
hi Laughing Reaper
Welcome to the forum.
I'm guessing that there are two criteria to cover here:
(i) Showing sufficient mastery of the subject to get good marks;
(ii) Choosing something that is interesting to you.
The second depends on your personal interests and maybe the other subjects you are taking.
I googled 'application of calculus in science' and got a variety of ideas. But, for you, you might want to substitute "economics" or "geography" etc for science.
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei