Math-Solver for Students, Scientists, and Engineers
⬤ Enter a problem in plain text ▶ Press the Solve button ⬤ Get a numeric solution
Linear Equations | Nonlinear Equations |
Differential Equations | Curve Fitting Regression |
Embracing our vision, we offer a vibrant, free version of our user-friendly Math Solver.
The PolymathPlus solver is available as a web application or a Windows desktop application. A link to the online solver becomes visible on the left menubar after login. We are encouraging users to switch to the online version while keeping support for the Windows desktop application for paid licenses.
Our internal algorithms have been extensively used over the years by many engineering faculties in universities across the world. Students and professionals will appreciate the ease of use and the comprehensive solution reports of our application.
Chrome | 85 | Safari | 14 | ||
Edge | 85 | Firefox | 79 | ||
Opera | 71 |
✅ | The student license has been upgraded to support up to 50 explicit auxiliary equations |
✅ | Support for a very large number of ODEs (over 1,000) for professional licenses |
✅ | A new numerical integration method for experimental data points has been introduced |
PolymathPlus can solve linear equations of any size. The number of equations should be equal to the number of unknown linear variables. Here's an example of 3 linear equations to be solved simultaneously:
Below are the equations entered into the PolymathPlus problem input text box (note that the # sign indicates user remarks and is being ignored by the program):
When solving simultaneous nonlinear equations, the equations have to be written as root expressions (expressions that are equal to zero in the solution). In addition, an initial guess should be provided for each nonlinear variable.
Below is a sample problem and data entry for solving 2 nonlinear equations:
When entering the problem into PolymathPlus, we should enter the root expressions, each associated to a nonlinear variable function. We should also provide an initial estimate for each nonlinear variable. In the example below, we have 2 nonlinear variables x and y, hence 2 root functions, and we provide an initial guess of 1 for both x, and y.
Note that we may also define any number of auxiliary expressions, to simplify long expressions, in this example we define a
as an auxiliary expression:
In case we only have one nonlinear equation to solve (with any number of auxiliary expressions), we need to provide a min/max estimates for the nonlinear variable. For example, below is a PolymathPlus program for solving one nonlinear equation where we need to evaluate V
:
Entering and solving ordinary differential equations with PolymatPlus is simple.
Consider this set of equations to be solved:
Given the initial conditions x0=1, y0=4, at t0=0, and having the integration finish at tf=1,
the text below should be entered into PolymathPlus:
The following alternative compatible syntax can also be used for the same problem:
The solution will be displayed in a tabular format and will also include the integration chart:
PolymathPlus supports curve fitting for polynomial, multi-linear, and nonlinear regression. The report evaluates the model variables, generates a regression chart, residual plots, and provides statistics on the accuracy of the model.
polyfit <x> <y> <order> [origin]
PolymathPlus Syntax | Fit Description | Curve to Fit |
---|---|---|
polyfit x y 1 | Linear regression | y = a0 + a1x |
polyfit x y 1 origin | Linear regression via origin | y = a1x |
polyfit x y 2 | Polynomial regression 2nd order | y = a0 + a1x + a2x2 |
Here is an example of the data entry required for solving a linear regression model for a given set of data points.
We solve a polynomial regression model with the order of 1 (hence linear regression) which best fits the linear equation matching the given data points.
Below is an example of a data entry for solving nonlinear regression model for a given set of data points. The model variables to be found are a
and b
, for which we should also provide an initial guess.
PolymathPlus enables users to customize the format of solution reports and the selection of algorithms using hints. These hints are stored within the PolymathPlus program file and are prefixed with #@.
The sample program below includes several hint lines, used to modify the number of digits displayed in the report, adjust the size and content of the chart, and display a table of intermediate data points in the solution report.
More examples can be found in the Sample Library.
Access to the online solver requires users to be registered and logged in. Once logged in, users can access the online solver.
If you're a new user, please fill out the form below to register and gain login access.
To be used online or for private devices' registration (desktop, laptop, etc.). Please don't use the form above to register the application on site public computers; site IT administrators should obtain a site registration license instead.
This section pertains to organizations purchasing bulk licenses, who may also intend to utilize PolymathPlus on their public lab computers. To view or renew the site license, please access the site admin page using the form below. The site's admin page also contains information on how to distribute the software and the keys users will need to claim the advanced features.
To initiate the registration of a new site, please reach out to us and provide the following details:
Detail | Example | |
1. | Site name | Arizona State University |
2. | IT contact email | john123@asu.edu |
3. | Backup email | abra2759@asu.edu |
4. | Email extension/s | @asu.edu, @student.asu.edu |
5. | Site Address | ABC College 123 University Avenue College Town, CA 98765 United States |
Site License | Annual Cost | |
$370 | per 50 users | |
$450 | per 100 users | |
$1250 | per 50 users | |
$1500 | per 100 users |
Institutions with site licenses may install the desktop version on their public computers. Additional details are available on the Site Admin page.
The following table lists program capacities and features per license.
Capacity & Features | Free | Std | Pro |
Lines of code | 50 | 200 | ∞ |
Program file size | 1KB | 10KB | ∞ |
Online saved programs | 5 | 100 | ∞ |
Nonlinear equations | 5 | 10 | 100 |
Differential equations | 5 | 10 | 2000 |
Supporting auxiliary variables | 10 | 50 | 2000 |
Regression data points | 20 | 100 | ∞ |
Regression model variables | 5 | 10 | ∞ |
Intermediate data points table | 50 | 300 | 1000 |
Solver requests per month | 100 | ∞ | ∞ |
Online solver | ✅ | ✅ | ✅ |
Windows desktop application | ✅ | ✅ | |
Dynamic charts | ✅ | ✅ | |
Advanced tools ie. Latex | ✅ | ||
Annual Cost sales tax included (USD) | Free | $15 | $50 |
Users can purchase individual licenses through their online profile page.
The online version of PolymathPlus has several advantages over the traditional desktop version. We advocate using it for the following reasons:
Development of the desktop version will be slowed down until we secure adequate funds to align it with our online version.
PolymathPlus began as a Windows desktop application and expanded its offerings to include an online web application. Our passion and dedication drive us to continually innovate and refine our solutions. We are committed to providing a top-notch numerical solver package to tackle mathematical challenges with ease and confidence.
We have recently initiated a new operation in the picturesque region of Georgia. With high hopes and aspirations, we aim to expand our reach and make a more significant and positive impact on the academic and scientific communities.
Firm Name | PLMT Plus LLC |
Legal Address | Otar Kinkladze Street, N39 Chughureti District Tbilisi 0101 Georgia |
admin@polymathplus.org
sales@polymathplus.org |
|
US Phone | +1 530 405 9303 Pre-scheduled calls: 08:00-10:00 AM ET |
Availability Status | Maintenance Status |
The development of our software had been encouraged by:
Drawing from more than 25 years of software development and extensive research in numerical packages, we have crafted the new PolymathPlus package.
Our new organization has its foundation in Georgia, Tbilisi. Our office, though modest, serves as a hub for our dedicated staff. We maintain ties with many US-based universities and others worldwide.
PolymathPlus does not warrant that the functions contained in the program will meet your requirements or that the operation of the program will be uninterrupted or error-free.
In no event will PolymathPlus or its distributors or their dealers be liable to you for any damages, including any lost profit, lost savings, lost patience, or other incidental or consequential damage.
Please carefully read the terms of service indicated in the link below.
Terms of Service (TOS)
🔸 | EULA | 🔸 | Accessibility | 🔸 | BCP |
🔸 | CMP | 🔸 | InfoSec | 🔸 | HECVAT |
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