The following TI-Nspire CAS libraries are licensed under the Gnu Public License v3.0.
The libraries are: Differential Equation Series Library - functions for series solutions of first- and second-order differential equations Differential Equation Special Functions Library - Bessel Functions, Legendre Functions, Gamma Function, Log-Gamma Function Fast Fourier Transform Library - functions for Fast Fourier Transform and Inverse Fast Fourier Transform Fourier Series Library - functions for Fourier, Fourier sine, Fourier cosine series List Utility Library - utility functions for list manipulations Simplex Method Library - implementation of the Simplex Method for Linear Programming
To use the libraries: 1. Download the library, 2. Save the library in the TI-Nspire mylib folder, 3. In the user interface, open the Library pane and select Refresh Libraries
Libraries
deserieslib, v1.01 - functions for series solutions of differential equations:
| Function Name | Description |
| de_series_op() | Computes the series solutions for a differential equation centered on an ordinary point. |
| de_series_sp() | Computes the series solutions for a differential equation centered on a singular point. |
| de_singular_pts() | Finds the singular points (if any) of a differential equation. |
| de_indicial_eqn() | Calculates the indicial equation and its roots r1 and r2 of a differential equation and a singular point. |
| bessel1() | Generates a series for a Bessel function of first order, Jn(x), where n is an integer. |
| help() | Displays detailed information about using the library and its functions. |
Downloads for deserieslib
despecfunc, v1.10 - special functions for solving differential equations:
| Function Name | Description |
| besseljn() | Returns Jn(x), the value of the Bessel Function of the first kind of integer order n. |
| besselyn() | Returns Yn(x), the value of the Bessel Function of the second kind of integer order n. |
| besselvalues() | Returns a list containing values of either Jn(x) or Yn(x) and the first and second derivatives of the function. |
| gamma() | Returns the value of the Gamma function. |
| help() | Displays detailed information about using the library and its functions. |
| legendrepn() | Returns an expression for Pn(x), the Legendre polynomial of order n. |
| legendreqn() | Returns an expression for Qn(x), the Legendre function of the second kind of order n. |
| lngamma() | Returns the value of the natural logarithm of the Gamma function. |
Downloads for the differential equations special functions library
fftlib, v1.00 - functions for Fast Fourier Transform and Inverse Fast Fourier Transform.
| Function Name | Description |
| fft() | Transform point y values using the Fast Fourier Transform. |
| ifft() | Invert transformed point y values using the Inverse Fast Fourier Transform. |
| displayclist() | Display a list of values formatted as (real,imaginery) pairs. |
| padlist() | Zero-pad a list of point y values to conform to fft() length requirement. |
| unpadlist() | Remove zero-padding from a list of values after executing ifft(). |
| help() | Displays detailed information about using the library and its functions. |
Downloads for fftlib
Back to Contentsfourierlib, v1.00 - functions for generating fourier series, fourier cosine series, and fourier sine series.
| Function Name | Description |
| fourier() | calculate a fourier series to approximate a function over an interval. |
| fouriercos() | calculate a fourier cosine series to approximate a function over an interval. |
| fouriersin() | calculate a fourier sine series to approximate a function over an interval. |
| fouriercoscoef() | return a specified fourier cosine series coefficient for a function. |
| fouriersincoef() | return a specified fourier sine series coefficient for a function. |
| help() | Displays detailed information about using the library and its functions. |
| isevenfunc() | Returns true if a named function is an even function and false if not. |
| isoddfunc() | Returns true if a named function is an odd function and false if not. |
Downloads for fourierlib
Back to Contentslistutils, v1.00 - utility functions for manipulating TI-Nspire lists:
| Function Name | Description |
| append() | Adds an element to the end of a list. |
| insert() | Inserts an element into a list after an element at a specified position (index). |
| qsort() | sorts a list in ascending order. |
| remove() | removes an element at the specified position (index) from the list. |
| reverse() | reverses the order of elements in a list. |
Downloads for listutils
Back to Contentssimplexlib, v1.00 - Implementation of the Simplex Method for TI-Nspire CAS:
| Function Name | Description |
| help() | Displays detailed information about using the library and its functions. |
| maximize() | Find the values of the variables that maximize an objective function given a list of constraints. |
| minimize() | Find the values of the variables that minimize an objective function given a list of constraints. |
| evaluate() | Calculate the value of an objective function given a list of variables and values that optimize the objective function. |
| dual() | Find the dual objective function and dual constraints associated with a primal objective function and its constraints. |
| standardize() | Convert a list of constraints to standard form. |
Downloads for simplexlib
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