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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °




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#1 2013-01-05 10:23:47

Laughing Reaper


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

Real Member


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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#3 2013-01-05 11:05:54



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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#4 2013-01-05 20:26:40

bob bundy


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.


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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