- [WIP|3/25/13] TI-BASIC - Riemann Sums Calculator
- 28 Feb 2013 05:33:59 pm
- Last edited by dennis96411 on 19 Jan 2014 07:31:11 pm; edited 4 times in total
Tired of manually finding the Riemann sums? Don't like drawing the graphs? This program might be of use for you! Currently, it is able to calculate most of the Riemann sums (see below). The difference between this program and all other common Riemann sums calculators? This one actually shows you how to write the equation. All you need to do is substitute in the variables (which is not pretty for trigonometric problems).
The program can calculate:
* Lower Sum [*]
* Upper Sum [*]
* Left sum
* Right sum
* Midpoint sum
* Trapezoidal rule sum
* Simpson's rule sum
[*] = Experimental, not 100% accurate
More information on Riemann sum: http://en.wikipedia.org/wiki/Riemann_sum
Update 3/25/13:
* Updated with experimental lower and upper sum calculations [do not depend on it]
* Small menu changes
* Graph window display changes
* Small bug fixes
Bugs:
* Graphing window range may be distorted if the sum calculated over [a,b] has a limit to infinity (example: 1/x over [-1,1]). This is caused by the program's function of finding max/min points on the interval and setting them as window range.
* Graphing trapezoidal sums gives you 1 subdivision too many for selection.
Animated screenshot [new]:
Static screenshots [old]:
Download the Program
The program can calculate:
* Lower Sum [*]
* Upper Sum [*]
* Left sum
* Right sum
* Midpoint sum
* Trapezoidal rule sum
* Simpson's rule sum
[*] = Experimental, not 100% accurate
More information on Riemann sum: http://en.wikipedia.org/wiki/Riemann_sum
Update 3/25/13:
* Updated with experimental lower and upper sum calculations [do not depend on it]
* Small menu changes
* Graph window display changes
* Small bug fixes
Bugs:
* Graphing window range may be distorted if the sum calculated over [a,b] has a limit to infinity (example: 1/x over [-1,1]). This is caused by the program's function of finding max/min points on the interval and setting them as window range.
* Graphing trapezoidal sums gives you 1 subdivision too many for selection.
Animated screenshot [new]:
Static screenshots [old]:
Download the Program