### Author Topic: TI-84+ App4Calculus  (Read 31859 times)

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#### TheCoder1998

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##### TI-84+ App4Calculus
« on: March 10, 2014, 02:42:20 am »
hey guys,

i've made a great program for calculus using basicbuilder
omnicalc, symbolic and prettyprint are required for it to run
« Last Edit: April 12, 2014, 06:14:02 am by TheCoder1998 »
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#### TheCoder1998

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##### Re: Great program for calculus
« Reply #1 on: March 17, 2014, 10:43:51 am »
well, it seems my program wasn't working properly so here's a new version of it
you can now calculate the volume of a solid of revolution and you can calculate double or triple integrals
oh and the function for partial fractions is removed (for now)
« Last Edit: March 18, 2014, 11:21:45 am by TheCoder1998 »
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#### Aspiring

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##### Re: Great program for calculus
« Reply #2 on: March 18, 2014, 10:54:22 am »
Just tried it and it is outstanding!  Just one question.  How do you enter slope equations for slope fields I can't figure it out?

BTW, I used your program to calculate pi and it was able to find: 3.141587076 I think that is a pretty accurate approximation for a ti-84.  Do you have most of the rules for calculating derivatives in the app?  My calculus book has about 40 derivative formulas.  This app is super cool.

EDIT: hey I am a level 2 member now.

#### TheCoder1998

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##### Re: Great program for calculus
« Reply #3 on: March 18, 2014, 11:19:53 am »

when you want to input an equation for the slope fields, you get two choices,

one is for an implicit equation, like x^2+y^2=1, so you'll get the differential equation dy/dx=-x/y
the other is just for dy/dx (or y')

and yes, all derivative rules are in the app thanks to the symbolic function (but it won't simplify trig identities)

but now i've got yet another new version

oh and by the way, how exactly did you approximate pi?
i assume you used the taylor series function?
« Last Edit: March 18, 2014, 11:27:04 am by TheCoder1998 »
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#### Aspiring

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##### Re: Great program for calculus
« Reply #4 on: March 18, 2014, 12:39:41 pm »
Opps I knew dy/dx is y'.  I write down y' a bit too often I guess...

I found pi by using the arc length...
To approximate pi you take the equation of a circle and solve for y
x^2 + y^2 = R^2
y = +/- squareroot ( R^2 - X^2 )
We will just use the positive of the squareroot.
y =  squareroot ( R^2 - X^2 )
We know that the circumference of a circle = 2 * pi * r
So... pi = circumference / (2*r)
We will set r to 1 and taking only the positive solution of the squareroot gives half of the diameter.  Therefore...
pi is equal to the arc length of the half circle made by the equation: y = squareroot( 1 - x^2 )
hope that makes sense.
Here's a link to wolfram alpha: https://www.wolframalpha.com/input/?i=integrate+%28++1%2B+%28+-x%2F%28%281-x^2%29^%281%2F2%29%29+%29^2++%29^%281%2F2%29+from+-1+to+1+with+1000+digits

EDIT: I used the partial fractions integration mode and it was like a miracle it solved it!  And it was really fast! Wow! I didn't think anything like this would ever show up on the ti-84 series  (except really over priced ZoomMath  ).
« Last Edit: March 18, 2014, 01:01:52 pm by Aspiring »

#### TheCoder1998

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##### Re: Great program for calculus
« Reply #5 on: March 18, 2014, 12:55:25 pm »
oh yeah i knew that one
can't believe i forgot about that
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#### Aspiring

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##### Re: Great program for calculus
« Reply #6 on: March 18, 2014, 01:15:51 pm »
I just threw the hardest partial fractions problem my calculus book has to offer and it was right!! (I don't even think zoomMath can do partial fractions  .)

(3x^3 + 1) / (x^3-x^2+x-1)

The answer is 3 + (x-2)/(x^2+1) + 2/(x-1)

It is hard to say what feature I like the most but I really like the partial fractions feature. (I suck at the harder ones  )

I did find one small bug though in the slope field part.  If you forget to enter the window values and/or the equation the program tells you what you forgot but then after pressing enter an error comes up saying "ERR:LABEL   1:Quit"  It is not really a big problem but it is worth noting.

#### TheCoder1998

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##### Re: Great program for calculus
« Reply #7 on: March 19, 2014, 05:10:37 am »
yeah i know about that glitch, i'll fix that
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#### TheCoder1998

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##### Re: Great program for calculus
« Reply #8 on: March 19, 2014, 12:27:46 pm »

MAJOR UPDATE
new interface, slope field generator is overhauled, and it's glitch-free! (i think)

check it out!
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#### Aspiring

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##### Re: Great program for calculus
« Reply #9 on: March 19, 2014, 07:39:55 pm »
Every time I start the app there is the usual long pause while the app starts that I have gotten before then an error pops up saying "ERR:UNDEFINED  1:Quit"      I have the same setup I had before and I have tried reinstalling the omnicalc and symbolic apps.  I am doing something wrong.     I have a feeling that this is something I did somehow.
« Last Edit: March 19, 2014, 07:44:53 pm by Aspiring »

#### TheCoder1998

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##### Re: Great program for calculus
« Reply #10 on: March 20, 2014, 02:31:03 am »
New update,  i hope i fixed it for you
you need to load pic1 to pic4 on your calculator too and keep them unarchived (group them if you can)

and the line integral function isn't working properly right now, i'll fix that
« Last Edit: March 20, 2014, 03:49:02 am by TheCoder1998 »
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#### Aspiring

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##### Re: Great program for calculus
« Reply #11 on: March 20, 2014, 10:57:18 am »
Works now! I like the new interface.  Do you think that you can put the picture vars as data inside the app...  I have a lot of stuff already in my vars list even though I try to keep it at a minimum.      I like the new look of the slope field generator.  Keep up the amazing work!

EDIT: I will be leaving tomarrow on a trip with my family so I will be gone for a little while.
« Last Edit: March 20, 2014, 11:05:18 am by Aspiring »

#### TheCoder1998

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##### Re: Great program for calculus
« Reply #12 on: March 20, 2014, 12:03:22 pm »
i thought that if you compiled the pics along with the program in basicbuilder, that you didn't had to have them on your calc but apparently i was wrong...
and yeah i'll be on a trip with my class to france, so i won't be online too
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#### TheCoder1998

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##### Re: Great program for calculus
« Reply #13 on: March 22, 2014, 02:50:05 pm »
*NEW UPDATE*

i've changed the name to "App4Calc"
and i've fixed some minor bugs, and i've removed the line integral function because it wasn't working properly (i'm working on that)
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#### TheCoder1998

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##### Re: Great program for calculus
« Reply #14 on: March 23, 2014, 04:46:30 am »
another minor update
fixed some bugs, like the one in the taylor series function, and i've optimized the partial fractions function
my ticalc acc:

http://www.ticalc.org/archives/files/authors/113/11365.html

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