Modified Bessel 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. 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. Moving Average This program will plot the moving average for a continuous function. It is slow though. Riemann Sums 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.
Newtons Method This program allows the user to calculate the end value AND intermediate steps to show "work" on tests, of course of Newton's Method.
It has allowed me to brainlessly work out these problems and show that damn work that my teacher requires :- Updated June Newton's Method v1. Newton 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. 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. Newton's Law of Cooling A simple, efficient, and quick way of calculating the temperature of a body using initial temperature, surrounding temperature, time, and a k constant also known as Newton's Law of Cooling!
Newton's Method This program is a Newton's method root finder. It uses Y1 as f x , and shows all steps used. Newton's Method 83p This program finds the roots zeros of a function nearest a user inputed guess. Easy to use. Newton's Method this program helps you do the tedius steps of Newton's Method and saves you lots of time. 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. It will give final temp, a graph, the cooling rate and the time spent. Newton's Method 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 Newton's Method including all work is performed using Symbolic.
Newton's Method 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.
Normal Line 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. Notes: Differential and Integral Calculus v0. 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! Newton-Raphson Method Visually go through the Newton-Raphson Method and understand how it the process approximates more accurately with each iteration. It also obtains solutions for a given initial condition using Runge-Kutta.
Olver's Root Finder This program uses Olver's cubically convergent method for finding roots. 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. Very fun to play with if Taylor series just aren't good enough for you. Parametic Curve Length This program will compute the length of a curve given in parametric form. Polar Derivatives 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. Polynomial Division 2. Polyroot This small program calculates the roots of a polynomial by Newton's Method, including quadratic equations.
Check readme for specifics. Pre-Calc My math teacher advised me to submit this, it is very helpful when doing Pre-Calculus problems. 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. Precalculus beta A very helpful program. More features will be added in the final version. PreCalculus 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. Points to Polynomial 2. This program may crash. I am not responsible for any damage to your calculator. 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 RAM v1. Very useful for all calculus students. 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.
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. Related Rates 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. Riemann Sums 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.
Riemann 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. Great for Numerical Analysts or for 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 thornahawk yahoo. Originally at unitedti. Romberg This program will perform Romberg integration on a function. Please read the description of the program.
Great for numerical methods students. Romberg Integration 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. Root Finder v. Great for calculus students and teachers for a different problem to give.
Riemann Sums This program graphically calculates the Riemann sum of a function, with a customisable number of intervals, and displays it for you. Riemann Sum v1. This program fixed a small bug and it is now perfect. Rules 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. Runge Kutta's Method v1. Same as Improved Euler's method, but more accurate. Runge-Kutta 4 Method Uses the Runge-Kutta 4-slope method to numerically approximate the solutions of first-order differential equations. Derive 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. Secant Method This program performs the secant method for solving equations. 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.
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 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.
ZoomStat displays the L1,L2 alongside Y1. Shell integration 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.
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.
Simpson's Rule v1. 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. Simpson's Rule 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.
Simpson's Rule 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. Skew Lines This program will inform the user if two lines in space are skew, not skew or parallel.
This is the best slope field program out there, simply stated. This program graphs the slope field of a derivative, a technique used in calculus for many purposes.
This technique is most useful when trying to integrate a non-integrable function or when integrating a derivative in terms of y or y and x. In addition this version contains Euler's method! It will numerically integrate a derivative with negligible error if the change in x delta-x is small enough. 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. 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. Strengths of program: 1 Optimized for speed e. Slope of Secant Line Finds the slope of the secant line when you enter the function, first X point, and change in X.
Slope of the tangent This program graphically approximates the slope of the tangent line for a function using the left-right average method. Slope Field 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.
Solids of Revolution calculator Calculate the volume of a solid of revolution automatically. Great for numerical analysis. Enter function in Y1 and start the program. Enter lower limit, upperlimit and the sub-divisions. It's as easy as that. NB: when you pick ex. 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.
Survival Function This program will graph the survival function based on hazard rates. Useful for actuarial sciences. 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 bytes. Also calculates synthetic division manually. Tan between Two Lines Various methods for calculating the tangent of the angle between two intersecting lines. From there, the program will calculate the equation of the tangent line for that equation and at the entered X value. This program will also store both equations into the Y1 and Y2 variables of the calculator.
Lanczos3 This program computes the third derivative of a function using Lanczos's differentiation by integration formula. Since it is based on least-squares approximations results will not be entirely accurate, but are usually close enough for good approximations. Ticket Prices 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. TNB This folder contains four programs for computing the following: 1 components of acceleration, TNB vectors, torsion and TNB planes osculating plane, rectifying plane, normal plane all done at a point.
Great for multivariate calculus or physics students. Total Area This program will compute the total area between a curve and the x-axis. Trapezoidal Rule This program is for the trapezoidal rule for approximating integrals. Includes approximation, max error, graphs of approximating trapezoids. Trapezoidal Rule v1. Often mentioned in Calculus books in the chapter containing the Trapezoidal Rule.
Trapezoid Approximation of Integrals These problems always annoyed me, so I created a program to do them for me. Trapezoid Rule v1. 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. Trig Anti-Derivative Includes formulas for the derivative and antiderivative for cos, sin, sec, cos Trig Derivatives A simple little program that lists the common derivatives of trig functions. Triple Integral This program will compute triple integrals using composite Simpson rule. It can run slow, but it is often accurate. Please read documentation.
Surface Area x. Find Vertical Tangents. When entering Acceleration function a t , compute of s t , v t , evaluate them, speed and magnitude of a t. Find Tangents. Surface Area y. Gradient 2-dim. Compute Area between origin and curve. Find Curve Length of x t ,y t on [t 1 ,t 2 ]. Derivative 2-dim. Compute Enclosed Area between R phi and r phi. Find Enclosed Area of loops on [t 1 ,t 2 ]. Find Angle theta given x and r theta. Find Surface Area of x t ,y t on [t 1 ,t 2 ].
Find Volume of Solid of Revolution on [t 1 ,t 2 ]. The following gives an overview of all functions in the Series and Convergence Module:. F1: Enter Series. F2: Tests for Convergence. F3: Power Series. F4: Taylor Series. Geometric Series Test. Use it to approx. Also differentiate and integrate it. Sequence Formula Finder:.
Integral Test. Differentiate Taylor series of f x. Partial Sum: Sum Up t he first n Terms. Alternating Series Test. Integrate Taylor series of f x. Ratio Test. F1: Plot f x,y. F3: Differentiate. F4: Integrate. F5: More. The following gives an overview of all functions in the Vector Calculus Module:.
F1: Derivatives. F2: Integrate. F3: Evaluate. The following gives an overview of all functions in the Analytic Geometry Module:. F1: Vectors. F2: Lines. F3: Planes. The following gives an overview of all functions in the Differential Geometry Module:. F1: Curve. F2: Surface.
Step by Step - Solve 2. Order DEQ. Convert Degrees to Radian. Graph Trig Functions. Evaluate Trig Functions. It is worldwide t he only Math software that can do this!!! Calculus Made Easy - Documentation.
Table Of Contents. User testimony: A. The animations help a great deal. This program was created with a lot of care. Software Updates. Version Version 9. Version 8. Version 7. Version 6. Version 5. Prerequisites and Installation of the Software Package. Modules of the Software Package. Improvements of version Angles between lines or planes, normal vectors, and much more this replaces the module on differential geometry which can be freely downloaded here.
What is new: -Step by step solutions to the above topics A major breakthrough in math software design: no other software is able to show stepwise solutions. Improvements of version 8. What is new in version 8. View sample. Improvements of version 6. Find Average Rate of Change. Simpson Rule for area approximation. Average Value, I mprovements of version 5. Find n so that error below a given bound, and more.
All in 1 Explorer. UnitCircle Click here for details. Graph f x. Weierstrass Substitution, View Sample. Find Inverse. L'Hopital Rule - Step by Step. Make SignChart of f x , f' x and f'' x. Area Approximation. Find Asymptotes vertical and horizontal. Find Intersection. Differential Equations. Analytic Geometry. Find Domain. Implicit Differentiation. Parallel Tangents. Synthetic Division in steps. Param, Vector, Polar. Partial Fractions in steps. Related Rates.
Common Denominator. Sequences and Series. Average Rate of Change. Simplify Fractions. Volume of Solids. Find Secant Line. Newton Method to estimate zeros. Vector Calculus. Bisection Method to estimate zeros.
Motion Click here for details. Piecewise defined Functions Compute a and b so that f x is continuous and differentiable.
Logarithmic Differentiation. F3 : Steps. It can do fractions using the definite integral form. Very handy for Calc. Functions: Glasser Function This is another function very useful in calc and analysis. Functions: The G-Function This wonderful function is defined by the ever-familiar integral. It is really useful, not only because it is the building block for other g-functions, but it is also a cool looking function!
It is very useful fo everything, including math!!! Function Length Finds the length of a function between two given x values. Functions: Incomplete Gamma Function lower part This, again, is a small, simple, and fast program. It computes the lower half of the incomplete gamma function. This added to the upper part equals the entire gamma function! Again, this is a must have for your day care recess! Functions: The Nint Zeta Function The nearest integer zeta function is a awesome function that computes totally awesome things!
Or, maybe the nint zeta function. A great little program for all math stuff except subtraction. Functions: Polygamma function Once more, this is a great function that computes polygamma of x.
Functions: Incomplete Gamma Function upper part This is a small, simple, and somewhat fast rendition on my part of the infamous upper gamma function. This plus the lower gamma function equals the entire gamma function! This would be great for your kindergarden to calc classes. Functions: Zeta Function Riemann's zeta function: beautiful to the calc.
I took his one argumentive summation and put it into this program. It is small, fast, accurate, and starts with a "z" "z"eta function. Gamma Function Extend the domain of the factorial function to all complex numbers except negative real numbers. Gradient, Curl and Divergence Important tools for vector calculus.
It allows the user to specify the coordinate system rectangular, cylindrical, or spherical as well as the variables being used. Very flexable functions, especially if used programamatically. Gradient Toolbox v3. Finds the curl or any of the other forementioned functions of functions of three variables in any coordinate system. Hamiltonian Function Finder Tests to see if a two-variable first order system of differential equations is Hamiltonian.
If it is, it returns the Hamiltonian function for the system. Hyperbolic Functions Basic identities, what a hyperbolic function is, inverse hyperbolic functions, and derivatives and integrals of each.
Integral Approximation v2. Integral Approximation is now even better than ever. It can perform several types of integral approximations including: left endpoint, right endpoint, midpoint, trapezoidal, and simpson's rule.
In addition to all of these great features, the program can calculate the error bounds for each of these tests on a given number of subintervals. Looking for a desired accuracy for your approxmation? No problem, the program can calculate the required number of subinvervals for a desired accuracy.
Version 2. Implicit differentiation impdiff is a function that returns the implicit derivative of a function of any number of variables. A must have for single- and multi-variable calculus! Implicit Differentiation A very robust implicit differentiation function. Implicit Differentiation This program does implicit differentiation. It can do regular derivatives also.
Implicit Diff. This function does implicit differentiation. Implicit derivative function Symbolic derivative of a function defined implicitly. Implicit Differentiation v2. Integral Approximations v1. Integ 89 This program helps you find the Riemann sums of an integral f x.
It can be used like a normal function. See Readme for more information. Inverse Functions I can't count the number of times I got that question wrong on a test. I looked for a program out there to do this, but I didn't find any. Well, I spent some time and through trial and error, came out with this.
Input a function with variable x, and it gives you the inverse of that function. Sweet and simple. Inverse Laplace Transformation v 1. Bugs fixed. It even shows examples. Iterative Solver The program solves implicit equations with a transparent iterative method, showing all steps. It's ideal for exams! Inverse curl works only in 3 dimensions, others work in any dimension. Bilateral Laplace Transform this program calculates the Bilateral Laplace Transform of a given signal e.
C range of convergence in which the transformation exists. Laplace It's a compact and powerful function that calculates Laplace transformations also with literal parameters. It will show you the laplace transformed in terms of s. I tested a couple of times and it worked fine. Anyways, the most important part of this basic program is for all those of you who can't make the user to input a function and then make the code to use it.
The users inputs an expression and a variable and the function returns the evaluated transform as an expression. It is small so small you can even type it in your calc , fast and reliable. Documentation is included. Limit Comparison Test Tests improper integrals for convergence or divergence using the Limit Comparison Test, one of the principle tests used when an improper integral cannot be evaluated directly, i.
If you have to deal with these types of problems, download this! It's an incredible time saver. Lerch Transcendent This handy little function computes the Lerch Transcendent of x,y,z ; a generalization of both the Hurwitz Zeta Function and the Polylogarithm. Can also be used as the Riemann zeta Function with 1,x,1 as the input. Limits A program that does limits, if you're too tired to press all the keys on your calculator.
Linearization tool Outputs the linearization of a given function. Dialog-based, no known errors. Linearizations and Approximations lineariz is a function that returns the linearization the equation of the tangent of a function of any number of variables at a point.
Great for Calculus! Linearization LGM This program asks you to enter a function and a point x0 near which the linear approximation will be calculated. The program returns the linearization functions: one is in approx mode, the other is in exact. All mode changes are restored after the program executes, so your orginal mode settings will not be changed. Simple and easy to use, yet very helpful in Calculus. Laplace and Z transform This program calculates a direct and inverse transformation.
Parts of the program are two shells for a simulation of electric circuits and dynamical systems described by block diagram algebra. Summation and Series Valuable techniques for determining the convergence of series. It's kind of like my previous set of functions, this one includes functions for Curl, Divergence, Gradient, Jacobian Transformation, Potential Functions, Conservative Check.
Multiple Derivatives Takes the nth derivative of a function up to It has a txt document to explain the program. Have fun! MonteCarlo v1. Multiple Functions Editor Allows easier analysis of large functions through examining discrete intervals.
Multiple Integrals v. I found a little error in the code and fixed it in this one. I have also included a. With this Multiple Integrals program, you can evaluate single, double in rectangular and polar coordinate systems , and even triple in rectangular, cylindrical, spherical coordinate systems integrals with ease let's hope Note: This program isn't intended to replace doing the required work.
In order to learn the material, you must work it out yourself. Use this program to verify solutions. Enter with parameters discrimi f,a,b to find the value of this discriminant. MultiVariable Calculus everything you need for multi-variable calculus. Newton's Method Fun way to view newton's method. Newton's Method v2. Newton's Method v1. It is a very user friendly program and gives the results in a clear, easy to read display. Newton's Method Yes, yet another Newton's Method program, but this is the easiest and fastest yet.
Acts like a normal calculator function -- newton function,guess of zero,iterations. Newton's Method Version 1 This file calculates the zero of a function using Newton's Method, with user input for the initial approximation, the number of oscillations, and an optional accuracy checker.
Easy Newton The feature of this program that really helps is its graphing option. It allows the user to make more accurate guesses and saves a bundle of time. There are also a variety of options that I added to provide the most convenience for you.
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