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#1 2013-01-04 11:23:47

Laughing Reaper
Member
Registered: 2013-01-04
Posts: 1

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 (2013-01-04 11:43:41)

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#2 2013-01-04 11:57:02

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,532

Re: Advanced Math Investigation Ideas

You can do differential equations, or summations, or DUIS, or contour integrals, or...


“Here lies the reader who will never open this book. He is forever dead.

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

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#3 2013-01-04 12:05:54

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#4 2013-01-04 21:26:40

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,395

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

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