|(Parent Dir)||folder|| ||Up to TI-83/84 Plus BASIC Math Programs|
|advderiv.zip||8k||06-05-18||Advanced Derivative Function|
It will calculate F'(A) based on the nDeriv( function. However, it will first check if the function exists in A. Then it will use the nDeriv function but with a better precision. If the derivative is very high, it will warn you that it could actually be +/- infinity. So in general the solution is more reliable than the normal nDeriv function.
|allaboutcalculus1.zip||182k||10-06-06||All About Calculus: Year I|
If you're taking AP Calculus AB or any other form of year one calculus, this program will save you HOURS (literally) on homework, tests, and other assignments. Using a very easy-to-use interface, it provides a huge range of features, including a tangent line finder, an approximate differentiator, a Riemann sum calculator (in all five of the generally used forms), an approximate integrator, an average value finder, an arc length calculator, a FAST slope field generator, an even faster Euler's method calculator with a scrollable table, and a similarly scrollable Newton's method calculator. All of these are arranged into just six step-by-step functions, many of which use a convenient and intuitive mathprint format. Three animated screenshots and a readme file included. Check them out; you'll be amazed.
ANHSCALC is for use on the Advanced Placement Calculus AB Exam. It contains 6 sections, Derivatives, Integrations, a Derivative solving program, Volume, Quadratic Equation program, and Trig Identities. A necessity for anyone taking AP Calc.
Do you take Calculus? Have you ever wanted to perform a quick antiderivation? Now you can! simply plug in the antiderivative of cx^n dx, and this nifty program will find the original equation in the form zx^p+C. Excellent graphics and interface; Doors CS v4.0 optimized.
If you're taking Calculus or you're going to take Calculus, you will definitely need this program. It will save you lots of time and work that you will have to struggle with for about 30 minutes when this program does it in about 5 minutes. It will find Area Between Curves, Volume of Circular Revolution Around a Vertical Line and Around a Horizontal Line, Centroid, Arc Length, Surface Area of Revolution, Definite Integral of a function from A to B, Riemann Sums (Area Approximations - Left, Right, Midpoint, Trapezoid, and Simpson's Rules), Nth Derivative (based on power rule) Nth Antiderivative (based on power rule), and Root Approximation Methods (Newton, Bisection, and Secant Methods). It will do so much for you and it will really help you in Calculus. Now download this program onto your Calculator, and head on to Calculus and see how helpful it is!
|apdervsk.zip||1k||02-10-14||AP Calculus Series: Derivative Shortcut|
Derivative shortcuts. Advanced calculus students won't need this file. (Only supports addition property)
|apgderiv.zip||1k||02-10-14||AP Calculus Series: Derivative Grapher|
Given f(x), this program will graph a function's derivative along with the original equation on the graph screen. This is done by calculating the change between two very close points, all the way across the screen.
|aplimits.zip||1k||02-09-09||AP Calculus Series: Limits|
My first file in a (hopefully lengthy) series of files for AP Calculus. APLimits finds the limit of a user-defined function. Written on my first day back to school, no less.
|aplim.zip||1k||00-02-04||Mega Limits v1.0|
Solves both the left hand and right hand limit; supports any number (with trig functions, etc. as well), infinity (both negative and positive). If the limit doesn't exist it will tell you. Also, it compensates for irrational numbers the calculator may give. Essentially, you will get the right numerical answer if there is one.
|apluscalc.zip||65k||11-05-29||The Ultimate Calculus Collection!!!|
This is a must download. This program has over 60 functions, including: trig functions, expression simplification, limits, derivatives of functions, implict differentiation, tangent finder, function explorer, all roots to an equation, RAM, 1st fundamental theorem of calculus, trapazoidal/simpson's rule, average value theorem, slope field, euler's method, improved euler's method, runge kutta method, area between two curves, rotational volume/surface area, arc length, hyperbolic functions, partial fractions, taylor series, parametric functions, polar functions, and many more! As an added bonus, all answers are in exact form. Also this basic program was compiled into an application! (thanks to Martin Warmer's BasicBuilder App Creator).
|apmeanvl.zip||1k||02-10-25||AP Calculus Series: Mean Value|
AP Mean Value finds points on a function that have the same tangent line slope as the line connecting the two endpoints of the function.
|apnewtn2.zip||1k||02-11-13||AP Calculus Series: Iterative Approximation|
APNEWTN2 estimates zeroes on a function f(x) given the original function, the derivative, and a guess. All steps (iterations) are shown on the screen.
|apnewton.zip||1k||02-11-13||AP Calculus Series: Newton's Approximation|
APNEWTON finds zeroes of a function given the f(x) and interval in which to look using Newton's method of approximation.
|apnewtsq.zip||1k||02-11-13||AP Calculus Series: Root Approximation|
This program estimates roots using Newton's method of approximation. If you convert a root into a function, then it's only a matter of finding the zeroes. Again, iterations are displayed on the home screen.
|apnfinty.zip||1k||02-10-02||AP Calculus Series: Infinity|
APNFINTY (AP Infinity) allows the user to find the limit of a function as X approaches infinity. It can also work with indeterminate (0/0) functions, and find vertical and horizontal asymptotes.
This is a great calculus program for the TI-84+ with it you can do the following things: calculate single, double or triple integrals calculate any derivative of any function (even parametric, polar and implicit functions) calculate the terms for taylor functions (this is kinda limited)calculate the volume/area of a solid of revolution aroud the x- or y-axis calculate the arclength of a curve, calculate the equation of a tangent display the formulas for common indefinite integrals display the first terms of common taylor series
Approximate Integration is used when it is impossible or very difficult to find the exact value of a definate integral. This program uses 5 different techniques, Left Endpoint approximation, Right Endpoint approximation, Midpoint Rule, Trapezodial Rule, and Simpsons Rules, to find aprroximate values for the definate integral.
This program will compute the left sum, the right sum and the midpoint approximation to Riemann integrals. Enjoy!
|aprolles.zip||1k||02-10-25||AP Calculus Series: Rolles Theorem|
Rolles's Theorem states this: If f(x) is a function whose derivatives exist between the limits x = a, and x = b. Suppose also that f(a) = 0 and f(b) = 0. Then there exists at least one point c between a and b where the derivative is zero. This program finds that/those point(s).
|apsimp_e.zip||1k||03-03-07||AP Calculus Series: Simpson Approximation|
Uses Simpson's method of approximating the area under a function using parabolas. Shows all steps.
|aptrap_e.zip||1k||03-03-07||AP Calculus Series: Trapezoidal Approximation|
Uses trapezoial method of approximating the area under a function using trapezoids. Shows all work.
|apytngnt.zip||1k||02-10-15||AP Calculus Series: f(x) of a Tangent|
This program finds the function of a line tangent to the function f(x) at point X. You can see the formula in Y-Y1=M(X-X1) and Y=MX+B forms.
|arclength83plus.zip||1k||04-06-15||Arc Length of a Curve|
Enter f(x), lower bound, and upper bound, and it will tell you the arc length of the curve.
This program will compute the arclength of a function accurate to about 3 decimal places.
|arclengthsurfacearea.zip||1k||09-09-08||Arc Length & Surface Area Calculation|
enter a function, and 2 points A&B, and calculate the arc length of the graph from A to B, as well as the surface area of rotation about X-axis from A to B
|arclength.zip||1k||04-03-17||Arc Length calculator|
This program calculates the arc length of a function by intergration, and it also gives you the intergrand. Requires Symbolic and PrettyPrint.
This program computes the average rate of change for a function and graphs the secant line as well as the function over the interval.
|area83plus.zip||1k||04-01-03||Approximating Area under a curve|
enter a function, lower bound, upper bound, and the amount of equal subintervals and it will find the area using four methods, left rectangle area method, right rectangle area method, midpoint rectangle area method, and trapezoid rule.
|area83p.zip||1k||02-06-16||RAM Graphs v1.1|
Graphs and displays the left, mid, and right ram with the option to pick the order of displaying each and input a, b, and n again.
|areabetweencurves.zip||1k||12-06-11||Area between curves|
This program will find the area between curves between two values. Enjoy!
|areacurves.zip||1k||06-05-11||Solves area between two curves|
This is a simple basic program for the ti-83 plus. Includes the option of having the calc find the bounds for you! A must for calculus.
|areaofsurfaceofrevolution.zip||1k||12-07-03||Area of Surface of Revolution|
This program computes the area of the surface of revolution. Enjoy!
|areauc83p.zip||1k||04-01-28||Area Under Curve v1.0 (Monte Carlo Method)|
This useful program will approximate the area under a curve or line to arbitrary accuracy using the Monte Carlo method. The realtime progress meter shows how far the program has progressed for time-consuming high accuracy calculations, and the standard interface makes it easy to navigate. Doors Cs v4.0 optimized.
|areaundercurve2.1.zip||6k||04-01-17||Area Under Curve Calculator|
Find the area under a function with 6 different methods (LRAM, RRAM, MRAM, TRAPAZOIDS, SIMPSON'S METHOD, ACTUAL). Also gives the user the ability to see the results graphically with lables.
|areaundercurve.zip||1k||04-09-03||Area Under a Curve|
This program uses the Romberg algorithm to find area under a curve. I have tested other programs for speed and accuracy but found mine to be superior in both. The user can set accuracy to a set number a decimal places. It also shows an estimate of the answer as it zeros in on the exact answer. As far time goes, here are some times for the 84 silver editon and 9 decimal place accuracy in radian mode. Yes, 9 decimal places. e^(-x) from 0x-50x takes 25 seconds. sin(x), 0 x-10pi x takes 1 second. cos(x+32)+2sin(x) from 0-10 takes 25 seconds.
|areofint.zip||1k||05-05-07||Integral Area Approximation|
This program takes a given function, evaluates it over the interval, with the set number of intervals, and evaluates at either the left, middle, right, or trapezoidal integration points, and returns the value. Less work than the fnInt function, and also easier to use.
|averagerateofchange2.zip||1k||12-07-06||average rate of change 2|
This program works with the formula (f(x) - f(a))/(x-a). The user inputs the function and the a-value and the program outputs a graph of the ratio. Enjoy!
|avgrate.zip||1k||02-02-16||Average Rate of Change|
Average Rate of Change - F(X2) - F(X1) / X2 - X1
This program is a pre-calculus program that will cover all your algebra 2 review and all the trigonometry funcions including sine, cosine, tangent, secant, cosecant, and cotangent. It even graphs these trig funtions also, and it does basically everything you'll ever need for your precal class. The file is a group, and you'll need to ungroup it after sending it to your calculator and then run the program called "aaap" to begin using the program. If you have any problems, send me an e-mail at email@example.com or an AOL instant message at MYNAMEISALLCAPS
This program will compute the value of a Bessel function of any positive order and of negative integer orders up to at least 6 decimal accuracy. No known bugs but contact me if you do find some. Enjoy!
|betweencurves83plus.zip||1k||04-06-15||Area Between Curves|
Enter f(x), g(x), lower bound, and upper bound, and it will give you the area between the two curves.
A simple programme to calculate the parametric equations of a Beizer curve with 2 control points.
This program is for the bisection method. It also makes a graph available of the iterates. Enjoy!
|calc83p.zip||32k||02-06-16||Calculus 1 and 2 Pack v1.2|
Included programs: algebra/geometry/trigonometry formulas, ram graphs, maclaurin series, volume and rotation of a solid, ram/trapezoid, test for convergence, projectile motion, table of domain/range/derivatives/integrals of 12 trig functions and 4 other log/expo functions, exact value/infinite domain of trig functions, Euler's method, improved Euler's method, Runge-Kutta's Method, Newton's method, slope field, and partial sums of a recursive series.
This program is an extensive collection of calculus tools including approximating definite integrals using Reimann sums, graphing slope fields of first order differential equations, and many other useful items. There is a complete list of all items and how to use them in the Readme file attached in the download. This program has proven to be very helpful to my fellow classmates, and I have added the finishing touches to this program and it is a very powerful tool. Enjoy and good luck on the AP Exam, should this be what you are using it for.
Features ten different programs, including slope fields, average value, Riemann Sums, line analysis, and triangle analysis. As a bonus, all of this is integrated into a nice GUI.
|calcount.zip||1k||09-10-14||Derivative and Integral Counter|
Enter a function, starting point, ending point, increment, and watch the input value, derivative at the value, and integral from start to current value count live.
|calcstuf.zip||12k||02-07-22||Calculus Tools by Eric Parsons v1.3|
Forget how to integrate or derive a trig function? Hate calculating area with the trapezoidal method by hand? Do you wish you had a program to make math a little easier. This program has 7 different programs including the Laws of cosine and sine and other to help you shave your pre-calc and calculus tedious work in half. Please download it and check it out, be sure to read the readme file before you use it for helpful information on how to use some of the options.
|calculus101.zip||2k||04-04-09||ChEaTaH v1.0 |
Everything you will need for your calculus class is in here. Im in high school calc, so i can't guarantee for college or whatever.
A math program that finds the arc length, average rate, average value theorem, Riemann sum, tangent finder and rotation volume/surface.
CALCULUS is a suite of 5 tools useful in precalculus and calculus courses for the TI-83/TI-83+/TI-84+/SE. It combines an easily comprehensible user interface with fast algorithms. This version of CALCULUS includes Reimann Sums, Trapezoid Rule, Simpson's Rule, Slope Fields, and Euler's Method.
This is a great Calculus app, with it you can calculate any derivative of any function, you can calculate single, double or triple integrals, you can draw slope fields and you can calculate partial fractions Please check it out!
|calculus_formulas_83p.zip||1k||04-02-18||Basic Formulas of Calculus|
It shows basic formulas for Calculus. Power Rule, Product Rule, Quotient Rule, Chain Rule, Definition of a Derivative, Slope of the Tangent Line, Slope of the Secant Line, Average Rate of Change, Mean Value Theorem, and Rules for Horizontal and Vertical Asymptotes.
|calculus.zip||1k||02-02-19||Calculus Toolkit v1.00|
Does some pre-cal and calculus for ya. But still in development stage.
|calc.zip||3k||04-02-17||Area Under A Curve|
For all of you who dont want to do the long hand verson of Simpsons Rule, Trapezoidal Rule, and Upper and Lower Sum. This program is for you. It even gives you the exact area under a curve. All 3 in one. For the smart Calculus student.
A highly useful quite of calculus 1, 2, 3, and 4 (AB, BC and beyong) tools. Compact, error-checked, convenient, optimized, and effective, CALTOOLS includes life-saving tools for calculus. Functions: 1. Newton's Method 2. Slope Fields 3. Euler's Method 4. Midpoint Rule 5. Trapezoid Rule 6. Left Riemann Sums 7. Right Riemann Sums 8. Simpson's Rule 9. Arc Length Calculator 10. Parametric Arc Length Calculator
|cdesolve.zip||17k||10-04-29||CDESOLVE numerical simultaneous ODE solver|
CDESOLVE revised vesion 1.0.1 is a numerical ODE solver capable of solving up to 4 nonlinear simultaneous differential equations using a second order Runge-Kutta method also known as Heun's method. The purpose of CDESOLVE is to bring some of the functionality of the TI-86 to the TI-84. CDESOLVE can for example be used to solve the well-known Lotka-Volterra predator-prey equations and plot the number of rabbits versus the number of foxes, or it can be used to solve up to 4th order non-linear ordinary differential equations.
|centerofmass.zip||1k||12-09-03||Center of Mass|
This program computes the moments and the center of mass for a region between two x-values and between two curves. The user inputs the bounds and the functions and the program produces the mass, the moments and the center of mass for the region. Enjoy!
Enter f(x), g(x), lower bound, and upper bound, and it wil give you the centroid.
This program calculates the center of mass of a region bounded by two functions from a to b. Along with the values of x-bar and y-bar, the region is shown on the graph, and the center is plotted. In the screenshots, it does not show the center, but it will be there when you run the program.
This is one of the most complete suites of homework help functions in existence, and it's all packed in one program (with an assembly subprogram for some of the chemistry functions). Featuring an easy-to-use menu system, it packs dozens of extremely useful algebra, geometry, calculus, chemistry, and physics functions for middle school, high school and even college courses. Includes 18 different area, volume, and surface area solvers for geometry students, a list of essential trigonometric identities, and many intuitive calculators for many other topics, such as a complete triangle solver. More general features include 326 different unit conversions (in an extremely simple scrollable graphical interface) and many other essential features, such as chemical equation balancing and formula interpreting. Check out the screenshots; you'll be amazed.
This program will symbolically compute the logarithm of complex numbers. Just enter in the number. Enjoy!
|conditionnumberfunctions.zip||1k||11-11-30||Condition Number for Functions|
This program will compute the condition number for a function given a specified value. Enjoy!
|converge83p.zip||1k||02-06-16||Test for Convergence v1.1|
Procedure for determining convergence: Tells you what test to use and if the series converges or diverges. Includes the nth-Term, geometric series, p-Series, integral test, ratio test, comparison, nth-Root, and the alternating series test.
This program takes rectangular coordinates and computes the equivalent coordinate representation in polar (2-D), cylindrical and spherical (3-D). Enjoy!
This program will tell you if a critical point on an equation is a Min or a Max, but it requires you calculate and enter the derivative & critical points.
User enters the components of the vector and program outputs the cross product. Enjoy!
This program will compute the curvature and provide information about the circle of curvature, the center and radius. The program will consider rectangular, parametric and polar forms in 2-D. Enjoy!
|curvatur.zip||1k||04-03-16||Area Under a Curve (Riemann Sums)|
This program uses Riemann sums to approximate the area under a function between two X coordinates with your choice of six methods: upper, lower, left, right, and midpoint rectangles and using the trapezoidal rule, with regard to the specified N subintervals. Additionally, the program graphs the function and visually demonstrates the rectangles or trapezoids in a performance with comparable splendor to a fireworks show.
|curve27.zip||1k||03-04-01||Length of Curve|
Given f(x), this program will measure the length of its curve from A to B, as well as measure the surface area of its shape as a solid of revolution.
* Area between curves This is a nifty little program to enhance the computational ability of your TI83 family calculator. I'm not sure about you, but my calculus teacher told me there was no way for my calculator to calculate the area between curves at the touch of a button. Well, these TI89's are off the chain but I've come up a with a nice little patch that lets our little beaut's perform just the same. ** Entering equations If both Y1 and Y2 are populated, curves will choose those two equations and find the area between them. If one or more are blank, you will be prompted for both. *** Change your mind? Press `Y=' during calculations to change the equations, or `TRACE' (window) to change the domain in which intersections are calculated. ** Caveats I wasn't in class long enough to make this program sophisticated enough to comprehend vertical bounds, or know how to react if only one equation was within range of the window. This program will function just fine if you can see everything of interest on the graph, so just use those settings and let this do its magic. ** Output After calculation, the totaled area will be shaded, the final answer stored to Ans, and a message will be printed on the screen.
Enter an expression with lower bound and upper bound. Then this program will solve for the area, centroid, and volume of circular revolution.
This Is A perfect Program For Anyone Who Is Havening Trouble With Graphing Curves On Your Calculator Very Simple To Use
|datapointintegral.zip||1k||07-12-15||Data Point Integral Evaluator|
Find the area under a series of points on a graph, using a special "Trapezoidal Rule". Useful if an integral must be evaluated but there is no function given (such as periodically sampled data).
Simply a short list of the derivatives of all major trigonometry functions
This is an update of my last one this one should work properly.
|derivada.zip||1k||14-04-06||Funções Derivadas v1.0|
Regras de derivação; nDeriv( para "dummies"; leiam a Info no programa. Compatível com MirageOS.
This program gives you most sorts of derivatives, when you input their primitive functions. Use A for constant, and F(X) and G(X) for functions other than, sin, cos, tan, ln, log, e^x, 10^(x), etc. If you input F(X)/G(X), the program will give: (F'(X)G(X)-F(X)G'(X))/G(X)^2. If you input: A^X, the program gives, ln(A)*A^X. If you input: sin(X) ( Don't forget the right hand bracket! ), the program will give, cos(X). The program also has L' Hopital's rule: Input F(A)=G(A)=0, you'll see.
These are the formulas for most sorts of derivatives. If you know them you should be able to find the derivative of almost any function. Now with L' Hopital's rule.
It shows you Derivatives for Trig Functions, Inverse Trig Functions, Hyperbolic Trig Functions, Hyperbolic Inverse Trig Functions, Power Rule, Product Rule, Quotient Rule, Chain Rule, Sum and Difference Rule, Derivative of Logarithms, Derivative of Natural Logarithms, Derivative of e, and the Derivative of a^x. It has all of the derivative formulas you'll need.
This zip file contains 4 Ti-basic programs that together calculate some basic derivatives and optimise their formula. The program you need to activate in order to use this is DERIVATV. This program must be almost a year old and will probably not be the best you can find.
|derivatives.zip||96k||08-05-27||Derivatives- Implicit and Explicit|
This program will find the derivative of any function that is explicit or IMPLICIT. That means that you can have both x and y in the function, as long as you set it equal to 0. The program will also find the equation of the tangent line to a point on the graph. If you have the equation X^2-Y^2=16, the program will find the derivative to be X/Y. The program also shows work! Saves you from having to do a tremendous amount of work to find the implicit derivative. Uses the app Symbolic and Omnicalc.
This is a simple program that gives the formulas for all sorts of derivatives.
This powerful program performs the non-implicit differentiation of any function f(x) to find f'(x), including f(x)=cx^n, f(x)=cx, f(x)=c, f(x)=ax/bx, and f(x)=ax*bx. It even finds the six major triginometric identities for derivation. A perfect tool for calculus students!
Displays the derivative of an equation. (Example: "X²+4X-3" ---> "2X+4".) Works with mulitplication and division rules. Also displays and graphs tangent lines.
Graph a line using only it's derivatives. Length refers to length of each line segment, interval refers to how often they are graphed. X refers to the starting point to take the derivative.
Plain and simple guys
an 83+ program programmed to 'symbolically' differentiate any expression that you put into your calculator
Cant say any more about it
Evaluates the 1st-7th derivatives of a function. Useful for Taylor polynomials.
DESOLVE uses Runge-Kutta's fourth order method to solve ordinary differential equations on the form dF/dX = G(F, X). The solution is stored in the L1 and L2 lists and then plotted. The program can also be used to plot the integrals of functions.
This program differentiates equations with degrees 1 through 5 using the nderiv( function
|diffeq83p.zip||1k||02-03-02||2-Point Differential Equation Solver|
This program is designed to solve a differential equatio give two points and the amount of time necessary.
Differentiate in dutch. With listing how you can calculate this sum. (Not only answer, what the most programs does). So, great for math! If you know how to program, you can change it into english. (Simple to use!)
|directdifferentialquadrat.zip||1k||11-12-18||Direct Differential Quadrature|
This program is designed to give high order derivatives by using the DQ method. While it does take time to generate the graph, it should be more stable than finite differencing. Enjoy!
|directeddistance.zip||2k||07-04-26||Directed Distance 2.0|
A wonderful tool for determining the directed distance between two parallel lines. Multiple approaches give the high school calculus student a myriad of opportunities in applying this measurement. Plus, we even tell you the general formula so you know what to write out!
|diskwash.zip||2k||13-04-01||Disk and Washer Method Solver|
This is a simple program I threw together in AP Calculus class. It will give the volume of the solid when a region R is rotated about a vertical or horizontal line.
|domainrg83p.zip||1k||02-06-16||Domain, Range, Derivatives, and Integrals v1.1|
Displays the domain, range, derivative, and integral of 12 trig functions and 4 other log/expo function separated by categories.
This is a simple program that lets you find derivatives symbolically by interfacing with the d( function in Symbolic. With this you don't have to mess around with quotes. Requires Symbolic and optional PrettyPrint.
|ed.zip||1k||00-09-22||Epsilon-Delta: Optimum Delta Finder|
Input a function, it's a value, limit, and epsilon, and the program finds the optimum delta!!
|elasticityofdemand.zip||1k||11-07-03||Elasticity of Demand|
This file will compute the elasticity of demand and the revenue function from a given demand function. It can output values in a table, determine the demand, elasticity of the demand and the revenue for a specific value and plot the demand, elasticity of demand, and revenue curves. Enjoy!
This zip file contains two programs, one for computing elliptic integrals of the first kind which has at least 6 digit accuracy and one for computing elliptic integrals of the second kind which has about 2 digit accuracy. Enjoy!
|eqnsecant.zip||1k||12-09-18||Equation of the Secant Line|
This program will compute the slope and y-intercept of a secant line as well as graph it. The user inputs the function, the left endpoint (A) and the right endpoint (B) and the program will do the rest. Great for Pre-calculus and calculus students. Enjoy!
|equationofplane.zip||1k||13-03-19||Equation of a Plane|
This program will produce the equation of a plane using three points. The user enters in the x-coordinates as a list, the y-coordinates as a list and the z-coordinates as a list. The program will produce the equation of the plane in Ax + By + Cz = D format. Great for multivariate calculus courses. Enjoy!
This program will compute the erf function and erfc function accurate to about 8 decimals, but it does take a little time. Enjoy!
|est83p.zip||1k||02-06-16||RAM and Trapezoid v1.1|
Estimates the integral with trapezoid and ram with the option to run each method after another and input a, b, and n again.
|estarea.zip||1k||10-01-01||Basic Riemann Sum Grapher|
This is program will graph LRAM, MRAM, and RRAM rectangles over the equation you type in and give an estimate of the [total and net] area under the curve.
|euler2.zip||1k||05-11-05||Euler's Method with Graph|
Way better version than my last. Streamlined and ready to go. Just type in the dy/dx equation, step, how many times, and it will graph it with the euler approximated points. Press trace to look up the values, or go to your listes. L1 is x and L2 is y.
|euler83p.zip||1k||02-05-22||Euler's Method v1.1|
Numerical solution for differential equations. Table and graph option included.
|eulerde.zip||1k||02-05-12||Euler's Method v1.11|
This program displays and solves differential equations using Euler's Method.
This is a program for Euler's Method.
|eulermethod2.zip||1k||07-12-27||Euler's Method Solver|
Simply plug in the variables to solve for Euler's method for a function.
|eulermethod.zip||1k||07-06-23||Euler's Method for Calculus|
This program allows the user to show the graph and point estimations of a function given the formula of its derivative, a starting point, and the number of iterations to calculate. This program can be used in conjunction with my "Slope Field Creator for Calculus" to plot the estimated graph of the function on a slope field plot. It is used in high school to college level calculus classes such as calculus AB, BC, or others. Updated June 2007.
Euler's Method allows you to approximate the integral of a given function. This program allows you to control all the parameters for Euler's Method, including the x start, x stop, step size, and initial y-value. In-program options also allow you to adjust the window and turn the axes on and off. Great for calculus and compatible with MirageOS.
THE BEST program for using EULER'S METHOD FOR APPROXIMATION. Very easy to use, you can input dy/dx in terms of X and Y ! ENJOY!
Uses the forward Euler's Method (commonly "the" Euler method) to numerically approximate the solutions of first-order differential equations. Also stores data from intermediate steps in lists to aid in showing work.
This program will solve for variables on Euler's Theorem.
|eulertbl.zip||1k||05-08-02||Euler's Method Table Generator|
Generates a complete table of values using Euler's method.
Solve differential equations on your calc!!
This program uses Euler's method to solve a differential equation. For a given diff eq, and initial point, you determine the number of steps you wish to take in order to approximate the y-value for a chosen x-value. It also draws the approximations and stores them into lists 1 and 2.
This program computes the expected value and the variance of continuous functions over a finite interval. Enjoy!
|fixedpointalgorithm.zip||1k||13-06-29||Fixed Point Algorithm|
This is a program for the fixed point algorithm for solving equations. It will also produce a graph of the iterates. Enjoy!
|fldslope.zip||1k||04-04-30||Slope Field v1.2|
Slope Field v1.2 simplifies the process of creating and analyzing slope fields in calculus. This program provides a variety of tools for slope fields: you can enter a differential equation, render the resultant field, edit the window settings, find the slope value at a specific (x,y) point, and trace an antiderivative over the field to verify that it is correct. Doors CS v4.0+ optimized.
|fouriersynth.zip||4k||03-07-10||Fourier Synthesizer V1.01|
Fourier Synthesizer enables you to explore Fourier Theory by creating complex waveforms using ten different frequencies. Version 1.01 has a refined sine wave formula so that the variables entered only affect the amplitude of frequency Fn. A Y-axis slew value was also added.
Calculates the coefficients of the sine and cosine terms of the Fourier series for an arbitrary function over the interval [-pi,pi]. Results in a series of sine/cosine waves that when added closely resemble the original function.
|funcmaster.zip||5k||07-05-15||Func Master v1.2|
If you are a calculus student, you can't go without Func Master! Func Master does the following: area between/under curves, area of surface of revolution, area of a polar region, volume of a region rotated about an axis, definite integral, tangent line/derivative, arc length of a function, solve function=0, find intersection between two functions, plug x into a function, find local extrema, and find speed or distance of a particle from parametric equations. Func Master is special because it is fairly small when compared to other calculus programs that perform similar tasks. It also does not require you to install supporting applications like Symbolic or Pretty Print, so it will be ready to run as soon as you put it on your calculator! This program is highly recommended for general use and for AP Exam free response questions. Read "help.txt" below for more information. Also note that ticalc.org may not have yet updated the screenshots for this program.
This program performs many operations with functions. In single function mode, you can differentiate, integrate, measure curve length, use the shell method, use the disk method, and analyze surface area once wrapped about the axis. In dual function mode, you can check the area between the two curves, use the washer method, and check the moments about both the Y and X axis as well as the center point of mass (centroid functions).
|gamma.zip||1k||06-08-13||Gamma Function solver|
This program solves Gamma(n), which is (n-1)! for any integer value or for non-integer values it is the integral of something nasty from 0 to infinity. Most efficient algorithm you will find anywhere.
|gauss.zip||7k||09-01-02||Gaussian Integration (Multiple) 2.0|
This program computes double integrals and triple integrals using the gaussian quadrature (Gauss-Legendre), is extremely precise. Quite useful for Calculus III classes to check multiple integrals results. Thanks to Benjamin Craig for his review.
|gmatheuler.zip||1k||09-04-03||Euler on Ti-83 Plus|
Euler's Method on the Ti-83! Input the derivative (x any y variables), initial condition, step value, and number of steps and the Ti calculates the points! Major time saver!
This program will find the first and second derivative of parametric functions using symbolic and pretty print. It will also find the arc length as well. I got lazy and when you input the variable for arc length instead of "T" it will be "X". The answer still comes out the same. I don't know how to protect source code, so feel free to use and abuse it.
This program will perform a Hermite Interpolation for a list or given function.
This program computes the area of a hyperbola's segment. It is limited in that the hyperbola must be centered at the origin and the line must be a vertical line, (so the orientation of the transverse axis is the x-axis). Great for conic classes and calculus classes. Enjoy!
|improved83p.zip||1k||02-06-16||Improved Euler's Method v1.1|
Numerical solution for differential equations. Same as Euler's method, but more accurate. Table and graph option included.
|improvedacalcapplication.zip||44k||12-09-03||A+ Calc (FIXED)|
This is the same great A+ Calc application that is so popular on ticalc for helping students in their Calculus classes. The application offers the exact same functionality as the original, but has been fixed so that certain functions, namely the Taylor function, can be run without the theta_w_theta programs loaded in the user's RAM. Thus, this app should be free of this bug, allowing it to be run without any basic programs loaded and unarchived on the calculator, making it entirely portable. I thank the original author of the program, Chip Hurst. ORIGINAL FILE DESCRIPTION FOR CHIP'S UPLOAD: This is a must download. This program has over 60 functions, including: trig functions, expression simplification, limits, derivatives of functions, implict differentiation, tangent finder, function explorer, all roots to an equation, RAM, 1st fundamental theorem of calculus, trapazoidal/simpson's rule, average value theorem, slope field, euler's method, improved euler's method, runge kutta method, area between two curves, rotational volume/surface area, arc length, hyperbolic functions, partial fractions, taylor series, parametric functions, polar functions, and many more! As an added bonus, all answers are in exact form. Also this basic program was compiled into an application! (thanks to Martin Warmer's BasicBuilder App Creator).
This program runs the improved Euler scheme for solving first order ODEs. The user will receive an approximate value to the solution at a specified point and will also have the option to see the approximate solution graphed. Enjoy!
|improvedeuler.zip||1k||10-05-03||Improved Euler Method|
Utilizes the Improved Euler method (sometimes termed the Runge-Kutta 2 method) to numerically approximate solutions to first-order differential equations. Also stores data from intermediate steps in lists to aid in showing work.
This program computes the values for the incomplete beta function. The user enters the powers on the integrand, A and B, and the upper limit on the integral in the numerator, X. The program outputs the result. Enjoy!
|inflecpt.zip||45k||06-12-19||Point of inflection.|
This program allows you to find points of inflection on a graph. Enhanced for use with DCS6.
|inflect.zip||1k||04-11-20||Point of Inflection Finder|
Given a function and a couple bounds, it will find the point of inflection for it (if there is one) on your very own TI-83+!
INTEGRAL: This program lets you integrate a function from A to B with the fnInt(-function. You use X for the variable, and get the numerical value. Then you get an estimate with Simpson's method for 100 intervals. Only 199 bytes. INTEGRA1: This is basically the same program as the one above. However it uses Simpson's method with cubic interpolation, ( Simpson's 3/8 rule ) instead of quadratic interpolation, wich is normally used.
|integral2.zip||1k||03-04-01||Integral- Area under a Curve|
Very simple program that easily analyzes the integral of F(x) between given point A and point B.
This program gives you the elementary formulas of integration, with all the symbols. Now with the fundamental theorem of calculus. Look at the screenshots. Only 882 bytes.
This updated program will help solve the area/volume problem on the AP Exam. It revolves one or two functions around any vertical or horizontal axis and will not only give the numerical answer, but the setup as well. It will also find surface area, and area between two functions.
|integralestimation.zip||1k||07-06-23||Integral Area Estimation for Calculus|
This program allows the user to calculate the left side, right side, midpoint, trapezoidal, and Simpson's rule areas under a curve easily and at the same time. It is used in high school to college level calculus classes such as calculus AB, BC, or others. Updated June 2007.
Graph an integral on your 83.
Integral Formula is pretty self-explanatory. Run the program, and you have the formulas used for integration right at your fingertips.
|integral_ultimate.zip||11k||04-06-19||INTEGRAL PROGRAM WITH FULL WORKING|
This program allows you to enter an equation with no limit to the number of parts in it or power values of x and then solve anti-differentitation on them. It also lets you solve the area bound by the curve. All this has full working out in a very good text format so you can just read it right off. Also the program simplifies all fractions and everything so you won't even have to think at all!!! Just check it out and you'll how superior its working out is!!!
This program solves for the definite integral between two points of a function. Can also do tables.
Displays the integral of any equation. (Example: "3X-7" ---> "3X²/2-7X+C") Also does the fundamental theorem of calculus and graphs.
This program will find the area under the curve. It has five different methods of solving for you to choose from. Please see the text file on how to use this program.
This program calculates the definite integral under any curve from a lower to upper limit. It also can calculate the average value for that area. Depending on the function and limits, the answer given may be exact or a very close decimal approximation.
|intgdiff.zip||1k||03-04-01||Integral: Area Between Curves |
After inputing F(x) and G(x), this program finds out the area under each curve (and between them) and graphs the region between them.
This program is capable of finding the area under and between curves. You can choose from numerous methods of finding the area including left, right and middle, trapezoidal, solids of revolution and standard integration. The program is easy to use, and understand, if you know the terminology. Can find definite integrals, regardless if equation is unknown, as long as co-ordinates are given. Definitely worth having this integration program, as this program accounts for ANYTHING that there could be on the exam.
For those of you in Caclulus, this might help. The program shows the integrals of sin, cos, tan, sec, csc, and cot and all of them from the first through the third power! This is just a little something to help me along in class, and it's not finished yet, eventually I will add the work to all of them plus add the arc functions. Any input would help.
This program performs different types of summations that can be used to approximate the area under the curve.
|inversehyperbolicfunction.zip||1k||12-03-29||Inverse Hyperbolic Functions|
This program will generate the graphs of the six inverse hyperbolic functions without using the catalog command. The windows are set up to conform to the domain of each function. Enjoy!
|limitfr.zip||2k||00-10-07||Limit v3.0 (French)|
Only (well..) for the frenchies : this is LIMIT 3.0 with added features like ASYMPTOTES.(les verticales, horizontales....)
LimitMan to the rescue to save the day from evil limits! Read the readme for more details. Calculates infinite limits too!
|limits83.zip||1k||09-03-28||Limits for the Ti-83|
Gives the left and right side limits of any function for a certain value of x. Delta x can also be changed. (the closer to zero, the better!)
this program is the best at finding the limits of a function.
This program is great for the aspiring young calculus student! Find the limit of almost any function at a given point! Does not handle functions with imaginary values (like sqrt(x)) at points near undefined points.
The FASTER, SMALLER, EASIER, MOST POWERFUL prog for finding ALL LIMITS of ANY FUNCTION.
Complete Linearization tables are made with this program using Symbolic.
This program computes different types of user-defined Line Integrals. I have tested everything and it works! Watch out on the 3-d one tho, the z(t) function needs to be put in as a function of X2t under parametric!
|listinfo.zip||36k||14-03-19||Listinfo Version 3|
This program calculates Left, Right, Trapezoidal, Midpoint, and Simpsons Riemann sums using coordinates of points (x,y). It will calculate the sums *even if the subintervals defined by consecutive points are not of equal length*! The program can graph a StatPlot with each of the rectangles, trapezoids, or parabolas used to calculate the respective sum. This program is great for AP Calculus AB & BC where students need to calculate Riemann sums and ***use MVT, IVT, or BOTH, or Rolle's Theorem based on a table***. If MVT, IVT, or both need to be used to find a value of f, f-prime, or demonstrate that f-double prime is negative, zero, or positive, the program will display the set of points that need to be used with the theorems along with which theorems to use. Please read the included documentation in the zip file for formal proof/reasoning. The program also calculates the slopes between consecutive points, and the sign of the second derivative using calculated slopes. All information is stored into lists X,Y, SLOPE, CONCV, LRECT, RRECT, TRAP, and MIDPT for the user to view after the program ends by going to the Stat -> Edit. If AP Calculus AB/BC table exercises involving Riemann Sums, MVT, and IVT are giving you a hard time, you should download this program. Try it out on 2003 AB Form B #3 Part (d), AB 2005 #3 Part (d), AB 2007 #3 Parts (a) and (b), AB 2008 #2 Part (c), AB 2004 Form B #3 Part (b)
This program will produce information about the inflection point and the intervals of concavity for logistic functions. Great for calculus students. Enjoy!
This program works with the logistic function. It will give final amounts, rates, time spent to reach an amount, and a graph. Enjoy!
|lowergamma.zip||1k||11-12-05||Lower Gamma Function|
This program computes values for the lower gamma function. Enjoy!
This program gives you Maclaurin's series for the most common cases: e^x, ln(1+x), (1+X)^a, sin(x), cos(x), and arctan(x). Only 332 bytes. Look at the screenshots!
|macs83p.zip||1k||02-06-16||Maclaurin Series v1.1|
Displays the 7 maclaurin series with the sigma notation, interval of convergence, and 1+x... format separated by categories.
|mcunder.zip||1k||04-03-16||Monty Carlo Area Under the Curve|
Uses a monty carlo simulation to find the area under a selected curve.
This program will compute several kinds of means including: 1) Power (harmonic, geometric, root mean-square, arithmetic are here) 2) Lehmer 3) Arithmetic-Geometric 4) Harmonic-Geometric 5) Stolarsky Enjoy!
This program will compute values for modified Bessel functions for non-negative order. The user inputs the order and value and the program returns the value, accurate to at least 8 decimal places. Enjoy!
|movingaverage2.zip||1k||12-01-10||Moving Average 2|
This program is designed to compute moving averages when information is in discrete form, not in continuous form as my previous program does. Enter in the information and the spread for the interval. The program will store the averages in L3 and ask you what information you'd like plotted. Be aware that if you start your lists with a zero instead of a one, you'll have to adjust the program a little. Enjoy!
This program will plot the moving average for a continuous function. It is slow though.
Given f(x), a starting and ending point, and the number of partitions, this program will analyze the area under the curve using Riemann sums from the left, right, midpoint, and a definate integral to check accuracy.
nth-order derivative solver for any function f(x) at value x
Using Symbolic, you can calculate Derivatives to the Nth degree.
This program allows the user to calculate the end value AND intermediate steps (to show "work" on tests, of course) of Newton's Method. This method is mainly used in Calculus AB, BC, or equivalent classes. It has allowed me to brainlessly work out these problems and show that damn work that my teacher requires :-) Updated June 2007.
|newton_83p.zip||1k||00-12-10||Newton's Method v1.0|
This program finds the zero of a function using Newton's Method.
|newton83p.zip||1k||02-05-22||Newton's Method v1.1|
Finds the zeros of any function with Newton's method.
This is a program for Newton's Method for finding roots. Enjoy!
It may seem like another Newton iteration program, but I've written this one to have a few special touches to it that make it worthwhile. First, the program displays the equation (Y1) upon loading. After asking for an X value to be the starting point, the calculator tests that value. If the derivative of Y1 at that value returns an answer of zero (thus making Newton's method [x - f(x)/f'(x)] divide by zero), the calculator will display "Pathological Error: d/dx = 0." If that X value does not immediately return a derivative of zero, after 50 unsuccessful iterations the calculator will assume that there is a pathological error, and will display the same error message as before. I added the pathological error aspects to this program because the typical Newton iteration program will continuously attempt iterations before the "divide by zero" error is displayed (if it ever is), wasting both time and batteries.
This program uses Newton's Method (also known as the Newton-Raphson Method) to approximate x-intercepts (i.e. zeros, real roots) of a function.
This program is a Newton's method root finder. It uses Y1 as f(x), and shows all steps used.
|newtonmethod83p.zip||10k||03-05-02||Newton's Method 83p|
This program finds the roots (zeros) of a function nearest a user inputed guess. Easy to use.
this program helps you do the tedius steps of Newton's Method and saves you lots of time.
|newtonsapprox.zip||1k||09-12-02||Newton's Method of Approximation|
Whilst sitting in calculus class, I got bored. Naturally I made a program to simplify what we were learning and share it with the class. So here it is, Jorgan Pubshire's official Newton's Method program. This is the best Newton's Method program because not only does it approximate your zero, it also builds your entire information table through what I call a cascading table display. Also, this program can do an infinite number of iterations. There are two modes in this program: Iteration mode allows you to input a set number of iterations to be ran and Accuracy mode runs iterations until it reaches an accuracy that is set by the user. My teacher had already made this program a couple years ago and when I gave him my program he admitted that mine was better. There literally is no way to make this program better save converting it into a fancy flash program, but since I can't do that yet, this will have to do. Enjoy!
|newtonscooling.zip||1k||12-03-09||Newton's Law of Cooling|
This program works with Newton's Law of Cooling. It will give final temp, a graph, the cooling rate and the time spent. Enjoy!
This program allows the user to calculate the end value AND intermediate steps (to show "work" on tests, of course) of Newton's Method. This method is mainly used in Calculus AB, BC, or equivalent classes. It has allowed me to brainlessly work out these problems and show that damn work that my teacher requires :-) Updated June 2007.
AP Calculus subject: finding the root (zero) of an equation. Input f(x), f'(x), and guess, and the program will show you all the work to do to solve the problem. This eliminates all the tedious work and mistakes when doing homework.
Newton's Method (including all work) is performed using Symbolic.
This program uses Newton's Method to find roots of a given function. After inputing an initial guess and error, it finds a sequence of estimates and stops when the difference between estimates is less than the given error.
|nm.zip||91k||03-03-04||Newton's Method Root-finder program|
Although the overall point of this program is completely useless (because 83's can find roots automatically), it is a MUST for AP Calculus AB students, since the AP exam requires finding roots through Newton's Method (listing iterations, etc.).
This program will output the slope and y-intercept of a normal line. The user enters in the function and the x-coordinate. Great for Calc 1 students. Enjoy!
|notescalcul.zip||8k||05-08-26||Notes: Differential and Integral Calculus v0.3|
Here's the third of the Notes programs. The two others was more general, but this one is only on the differential and integral calculus. It is very useful for those who are studying these courses. It contains just the formulas useful for the two mathematics disciplines. There are derivative formulas, integration formulas, identities and some others. More things coming soon !
A program to graph Slope Fields for Ordinary Differential Equations. It also obtains solutions for a given initial condition using Runge-Kutta.
|olverrootfinder.zip||1k||11-11-22||Olver's Root Finder|
This program uses Olver's cubically convergent method for finding roots. Enjoy!
|oscnotes.zip||8k||12-08-05||Diff Eq's Help - 2nd Order Nonhomogeneous ODEs|
Displays several formulae relevant to finding particular solutions to nonhomogeneous second-order linear differential equations. Includes formulae for the undetermined coefficients and variation of parameters methods for finding particular solutions. Also includes relevant formulae for finding the particular (steady state) solutions to driven, damped spring-mass systems.
Calculates a rational function (polynomial of degree m over a polynomial of degree n; the [m/n] approximation) that very closely approximates a transcendental function given the terms of its Taylor series. The screenshots below are the [2/2] approximation for e^x and the [4/4] one for the standard normal curve. Very fun to play with if Taylor series just aren't good enough for you.
|parametriccurvelength.zip||1k||13-03-15||Parametic Curve Length|
This program will compute the length of a curve given in parametric form. Great for calculus students. Enjoy!
this is a partial fraction solver
This program computes the ratio of gamma functions, GAMMA(a+n)/GAMMA(a) which is abbreviated (a)_n (the Pochhammer symbol). Enjoy!
This program will save you a ton of time when taking derivatives of polar functions. Be warned, although the function will be essentially right, it cannot simplify using trigonometric identities. You must have Symbolic and Prettyprint installed to use this program.
|polydivide.zip||1k||07-05-07||Polynomial Division 2.0|
The perfect program for instantly calculating both long and short polynomial division.
This small program calculates the roots of a polynomial by Newton's Method, including quadratic equations.
|power_rule_solver_83p.zip||1k||04-02-17||Power Rule Solver|
Finds the Derivative of the function using the Power Rule.
A collection of programs from my precal book, Precalculus with Limits A Graphing Approach. Check readme for specifics.
My math teacher advised me to submit this, it is very helpful when doing Pre-Calculus problems.
I created this program for my Pre-Calculus class in High School. Now that my math teacher hates me for creating a program for her students to compute math at ease, she advised me to submit it for the use of other Pre-Calculus students. Well, here you go. This program is very helpful and even has a 2D unit circle for reference when dealing with Unit Circle Trigonometry. (updated, added feature in calculating compound interest, removed programs that I accidently included in the download)
A very helpful program. More features will be added in the final version.
This is a compilation of all my programs from my year studying precalculus. It helped me a lot, and I hope that it can help you too! The program itself includes Series (arithmetic and geometric), Sigma, Pascals triangle, Trig helps, Conic sections, everything having to do with the law of sines and cosines, and to top it all off, a quadratic solver program.
|pts2poly.zip||1k||07-04-26||Points to Polynomial 2.0|
Plug in the points, and the appropriate polynomial that hits all those points will be produced. Warning! This program may crash. I am not responsible for any damage to your calculator.
|radian.zip||1k||12-01-21||Radians Ultimate Program|
(Pre)Calculus program regarding radians 1. Convert Radians to Degrees or Degrees to Radians 2. Pyth Thm 3. Arc and Sector Area 4. Find sinx,cosx,tanx.... when given two points on unit circle 5. Check answers to see if sin#=x and tan#=y then x=y Feel free to send me an email for feedback: firstname.lastname@example.org
Program for finding the left,mid-point, and right Rectangular Area Measurement for intergrals on the graph screen. Very useful for all calculus students.
|rectapporxmeth.zip||1k||03-06-09||Rectangular Approximation Method|
This RAM program needs a function, a side, and the number of intervals. BAM! Mathematics.
|recursivetrapezoid.zip||1k||12-07-11||Recursive Trapezoid Rule|
This program uses a recursive version of the trapezoid rule to compute the area under a curve. It is the first column in the Romberg integration technique. It is a slow program but it can serve as a good example of how recursion works for beginning students in numerical analysis. The user enters in the left endpoint (A), the right endpoint (B), the function and the number of steps to take in the recursion. Enjoy!
prgmRECURSIV represents numerically and graphically recursively-defined sequences. 1,2,3...n is stored to L1, while A[sub](k+1) as a function of A[sub]k is stored to L2. The sequence is plotted against its term number (in a graph situation), though reading off L2 for the sequence is more handy (especially for busy-work). The graphs are interesting, however; the graph of A[sub](k+1)=3A[sub]k, for example, increases like a geometric sequence with a common ratio r=3.
|reimann83.zip||1k||05-08-02||Reimann Sum Computer|
Calculates LRAM, RRAM, MRAM, Trapezoid Rule, and Simpson's Rule approximations of integrals.
This program Computes And displays And graphs and displays graph of reimann sum of an equation stored in the Y1= . 3/11/03
This program works with related rates problems for right triangles and circles. The user inputs the information and the program will output an answer. Great for first year calculus students. Enjoy!
This program will find the area under a curve, typing in the equation as Y1, and then telling the upper and lower bounds and the number of partitions.
This program computes left, right, midpoint, and trapezoidal sums for a given function over a given interval. It also draws the rectangular or trapezoidal regions under the graph. Also included is the definite integral over the region.
|rkbs.zip||93k||05-06-09||Adaptive Runge-Kutta Program|
This TI 83+ program is an adaptation of the algorithm used by the TI 85, TI 86, and TI 89 calculators for graphing solutions to differential equations. The underlying algorithm is an adaptive third-order Runge-Kutta algorithm using coefficients due to Bogacki and Shampine. Please send suggestions, comments, criticism, and bug reports to thornahawkyahoo.com. (Originally at unitedti.org)
This program will perform Romberg integration on a function. Please read the description of the program. Great for numerical methods students. Enjoy!
This program will integrate a function between two limits using the Romberg Integration technique. It outputs a 6x6 triangular table with the resluts in lists L1 through L6.
|rootfind.zip||1k||04-05-08||Root Finder v. 1.2|
Uses Newton's Method to find a real root of a function.
|rotationonslant.zip||1k||13-03-14||Rotation on a Slant|
This program will compute the area between a curve and the line y = mx + b and it will also compute the volume for a solid of revolution rotated about this slant. Great for calculus students and teachers for a different problem to give. Enjoy!
This program graphically calculates the Riemann sum of a function, with a customisable number of intervals, and displays it for you. Enhanced for use with DCS6.
|rsum.zip||1k||00-12-17||Riemann Sum v1.1|
This is the updated version of cyberphobia's original v1.0 Riemann Sum program. This program fixed a small bug and it is now perfect.
This program contains all the basics derivative rules for your Calculus 1 and Calculus 2 classes. This program started by Ryan Heeren as a way to help him remember all the derivative rules. Then I picked it up and improved it.
|runge83p.zip||1k||02-06-16||Runge Kutta's Method v1.1|
Numerical solution for differential equations. Same as Improved Euler's method, but more accurate. Table and graph option included.
|rungekutta4.zip||1k||10-05-03||Runge-Kutta 4 Method|
Uses the Runge-Kutta 4-slope method to numerically approximate the solutions of first-order differential equations. Also stores data from intermediate steps in lists to aid in showing work.
This program uses the standard Runge-Kutta method for solving an ODE. Enjoy!
This file includes two programs for symbolic differentiation and calculation of MacLaurin polynomials. But the hard work is done by the Symbolic and PrettyPrint apps.
This program performs the secant method for solving equations. It will also produce a graph of the iterates. Enjoy!
|secanttotangent.zip||1k||12-01-06||Secant to Tangent|
This program demonstrates the limit operation of the secant line to the tangent line. The user may need to adjust the window on the program before running it so that tangent lines come in clearly. The user inputs the function, the starting point, A and the initial step size, H. The program generates four secant lines and stores the slopes in L1. This program is meant to demonstrate the beginnings of the limit process to enhance understanding of the definition of derivative. Enjoy!
|secder.zip||1k||09-03-31||Derivative Approximation with Secant Line Slope|
Gives slope of the secant line through any two points on a function and compares it to the actual derivative.
SEQUENCE is designed to numerically and graphically represent the sequences that result from all types of functions, especially those whose values only carry meaning in the domain of the natural numbers: factorials, series, alternating series, etc. f(n) is evaluated for 1,2,3...n (the domain automatically stored to L1); stored, and displayed as L2. ZoomStat displays the (L1,L2) alongside Y1.
This program will perform shell integration as a method for determining volumes of revolutions as long as the shell is perpendicular to the axis of revolution. Enjoy!
|shllmthd.zip||1k||03-04-01||Integral: Shell Method|
This simple program lets you input a function, enter right and left bounds, and find the volume of the solid by the shell method.
|simpsonr83p.zip||10k||02-03-03||Simpson's Rule v1.0|
This program does the Simpson's Rule for you. It estimates areas under curves using this method. It's nice to use it to check your answers, if you are in calculus. In the future I will make a program that also shows all steps.
Allows you to input the beginning and end of the interval ("a" for the start, "b" for the end) and the number of subdivisions ("n"). When you input the equation, you must be sure to put it in parantheses, otherwise it won't work. e.g. to input 3x, type this: "3x" and hit enter. it will show you the program's progress. be warned, the more subdivisions you use, the more time it will take. approx. times are : n = 50, time = 30 sec, n = 100, time = 70 sec, n = 150, time = 130 sec (time in seconds = .003(n^2) + .35n + 5)
This program prompts the user for "A" (The lower limit of integration), "B" (The upper limit of integration), "N" (The given number of subintervals), and "Function" (The function for which the program will use Simpson's Rule to approximate the integral. The program stores the answer in the variable "X" for reference by the user after the program is finished. Remember the Simpson's Rule is only valid when n is even. The program will stop if n is odd.
|slopefield83p.zip||1k||02-06-16||Slope Field v1.1|
Graphs the slope field for a differential equation.
Slope Field allows you to draw slope fields quickly and easily on your TI-83/84+. Simply enter the derivative and watch the program generate the slope field right on the graph screen! In-program options include changing the number of slope lines, adjusting the window, and turning the axes off and on. Great for calculus and compatible with MirageOS.
|slopefields.zip||2k||05-07-01||Comprehensive Slope Fields|
This program will graph the slope field for a given dy/dx equation, allow you to modify the viewing window, display the slope at a given (x,y) point, and overlay the original (antiderivative) equation over the slope field, so you can see the relationship better. Useful for Calculus AB, BC, and up. Unlike many other slope field programs, this one: has a variable frequency for how often/large the slope marks are (set as a grid on the x/y axis tick marks), overcomes "divide by zero" errors encountered with equations like -x/y, is speed-optimized, and comes with a variety of options.
|slopefield.zip||1k||07-06-23||Slope Field Creator for Calculus|
This program allows the user to show the slope field plot of a function given the function of its derivative. It is used in high school to college level calculus classes such as calculus AB, BC, or others. Updated June 2007.
|slopefld83p.zip||4k||07-02-17||Slope Field Program|
This program draws the slope field for a given differential equation of the form y' = f(x,y). It will also superimpose user-specified solution curves of the form y = F(x) on the slope field. Strengths of program: (1) Optimized for speed (e.g., slope field is saved and then re-used rather than re-generated when solution curves are graphed). (2) Flexible (e.g., settings for the window variables and slope-field lattice are user-specified and independent of each other). (3) Easy data entry and navigation (e.g., cancellation reminders are on data-entry screens).
|slopefld.zip||1k||02-05-11||Slope Field v1.11|
This program displays the slope field for a differential equation.
|slope_of_secant_line_83p.zip||1k||04-02-17||Slope of Secant Line|
Finds the slope of the secant line when you enter the function, first X point, and change in X.
|slopetan.zip||35k||06-12-24||Slope of the tangent|
This program graphically approximates the slope of the tangent line for a function using the left-right average method.
This program calculates a slope field for a given derivative. The slopes can be defined in terms of both y and x. There are also many menus that allow you to customize your slope field. You can set the window and the amount of resolution. It eats up a ton of memory while you're running it, so you may need to either archive things, or set the resolution to "low". This updated version fixes a minor bug and causes the program to run much faster than before. It also provides an opportunity to input a solution to the differential equation and view its graph on the slope field.
|solidsofrevolution.zip||126k||09-04-04||Solids of Revolution calculator|
Calculate the volume of a solid of revolution automatically
This program is for Steffensen's Algorithm for solving f(x) = 0. Great for numerical analysis. Enjoy!
It is for doing sums: LEFTHAND-SUM, RIGHTHAND-SUM, TRAPEZ, MIDPOINT and SIMPSONS. Enter function in Y1 and start the program. Enter lower limit, upperlimit and the sub-divisions. Then pres enter and you will see LEFTHAND-SUM, RIGHTHAND-SUM and the TRAPEZ-sum. Pres enter again and you will see MIDPOINT and SIMPSONS-sum. It's as easy as that. NB: when you pick ex. N=4 the result will in all the sums be N=4, but in the SIMPSONS-sum N will be 8. (In the SIMPSONS-sum --> N=2*N)
|surfacerevolution83p.zip||1k||04-06-15||Surface Area of Revolution|
Enter f(x), g(x), lower bound, upper bound, and then select the axis of revolution and the line to revole around, and it will give you the surface area of revolution.
This program will graph the survival function based on hazard rates. Useful for actuarial sciences. Enjoy!
|synthdivauto.zip||1k||13-02-14||Automatic Synthetic Division|
Solves synthetic division for you by finding factors! You'll be the first one in class to find the solutions! Give it a try, it's only 728 bytes. Also calculates synthetic division manually. Works up to X^4; higher powers available upon request.
|tanbetween2lines.zip||2k||07-04-26||Tan between Two Lines|
Various methods for calculating the tangent of the angle between two intersecting lines.
A Great Calculus Program Needs Prettyprint, Symbolic and Omnicalc to work
TI Calculs passe en version 2.0 avec quelque modification et amélioration. Ce petit programme de calculs n'ai pas encore fini en revanche plusieurs mises à jour viendront l'enrichir. Un peu de patience, la fin de l'année n'ait pas encore arrivée !! Mais sachiez que je suis seul à faire tous ces programmes et mon temps n'ait pas illimité. Pour toute requête au sujet du programme quel que ce soit, je vous invite de me contacter.
This program computes the optimal price for ticket sales problems as well as the number expected to attend under this price. The user inputs the information (please read over the description so you know what the values mean). Great for business calculus or applied calculus students. Enjoy!
This program will compute the total area between a curve and the x-axis. Great for calculus students. Enjoy!
|trapezr83p.zip||9k||02-03-03||Trapezoidal Rule v1.0|
This program does the Trapezoidal Rule for you. It estimates areas under curves using this method. It's nice to use it to check your answers, if you are in calculus. In the future I will make a program that also shows all steps.
Quick program to speed along Calculus homework. Often mentioned in Calculus books in the chapter containing the Trapezoidal Rule.
|trapzoid.zip||1k||01-03-01||Trapezoid Approximation of Integrals|
These problems always annoyed me, so I created a program to do them for me
|trarule.zip||1k||04-04-09||Trapezoid Rule v1.0|
Use this handy program for an approximation of the area under a curve using the Trapezoid Rule. Simply enter an equation, the lower and upper bounds, and the number of trapezoids; the program will approximate the area under the curve. Great for Calculus students; Doors CS v4.0 optimized.
Includes formulas for the derivative and antiderivative for cos, sin, sec, cos......AWESOME FOR preCALC
A simple little program that lists the common derivatives of trig functions
|ulitmatecalc.zip||1k||03-03-08||Ultimate Calculus Program|
Program includes Rolles, Trapezoidal, Mean Value, Rieman Sum, and Integral Equations. A must need for AP Calculus.
Has many functions, Can find any Limit, the Derivative of any function whether it is partial or not, Implicit Differentiation (does any amount of variables) and all are displayed in pretty print in simplest form, Find teh tangent lines of a function, Newtons method of solving equations, Line approximation, solves for differentials given the correct input, RAM Calculator (Rectangular Area Method:Left, Right,Midpoint, Trapezoidal, Simpsons,Actual), Area Between Curves, Volume by Slicing (rings or washers displayed in pretty Print),definite Integrals displayed in pretty print, Centroid of an area bounded by 2 curves. Arc Length of a function, Taylor series (for Single and Multivariable Functions: Single up to 5 iterations, Multi only up to quadric) also displayed in pretty Print, Error RAM, Everything Parametrics displayed nicely, everything Polar displayed nicely, Can find the critical points of a function, The Surface area of any type of function, the Extrema of a Multi Variable function, and Multiple integrals. *******This Program needs, OmniCalc,PrettyPrint, and Symbolic to run properly other wise many functions will no be available to you. The System of Equation Solver is not created by me and neither is teh Multiple integrals Calculator, I just have them compiled to gether please give the creators their props for making such great programs**** ****TO UPLOAD TO CALCULATOR JUST CLICK AND DRAG ALL 4 APPS TO CALCULATOR WHILE RUNNING TI CALC (PS: MY PROGRAM IS CALLED CALCULUS****
This program gives you a graphical representation of the "fnint(" function, which allows you to calculate definite integrals. It is extremely similar to the functionality MathPrint provides, minus the extreme bloat that slows your calculator down to a crawl.
This program computes the work done when the force varies continuously. Enjoy!
Program for finding the dot product, magnitude, direction angle, angle between, and components of vectors.
|volumeofsurfaceofrevoluti.zip||1k||12-07-01||Volume of Surface of Revolution|
This program will compute the volume of an object rotated about the x-axis between two x-values by the disk method. Enjoy!
|volumerevolution.zip||1k||04-06-15||Volume of Circular Revolution|
Enter f(x), g(x), lower bound, upper bound, then select the axis of revolution and the line to revolve around, and it will give you the Volume of Circular Revolution.
|volumerotationofsolid83p.zip||2k||02-05-11||Volume and Rotation of a Solid|
Calculates the volume of a solid and displays the general equation after it is rotated across the x-axis, y-axis, x= a real number, and y= some integer (useful for those in Cal 1 or 2 who are learning rotation of a solid)
Great for Calculus 2 students! The Wallis Product is quite complicated, but with this simple program input N and it'll output the Wallis Product.
This program generates the graph of a Weirstrass function to show that a continuous function need not be differentiable. The user enters the number of iterations to use and then waits for a graph to be generated. See the accompanying pic to get an idea. Enjoy!
This program computes the derivative of x^(x^n) and shows the result symbolically. It will also graph the function in the interval (0, 1) (the most interesting part of the graph). Enjoy!
* Zeroes Zeroes is a program to display all the zeroes of a function (Y1) across the current visible window. ** Invoking Zeroes Feeding information into zeroes is simple. If Y1 currently has a value, zeroes will use that value as its input. If Y1 is empty the user will be prompted for an equation. ** Examining the zeroes To examine the zeroes, scroll the list left and right with the arrow keys. ** Changing the domain or function At any point during the examination of data, press the `TRACE' key (or windows) to adjust the window, or `Y=' to adjust the current function. ** Quitting Press enter to quit zeroes.
This is the zeta function, for all TI's except the TI-73.
|zsziszssrrs.zip||2k||09-10-20||ZSZISZS - Second Release, Reimann Sums|
Reimann sums solver. Give it an equation and it will tell you lower, middle, upper, trapazoidal, and the real area. Also has stellar graphing options at the end. Enjoy!