Programs you can download and listings of code will be posted here for TI Calculators.
To use the download links, you must have the TI "graphlink" or TI-Connect software and interface cable to connect to your computer (this is not the same as the simple wire cable you use to share programs with friends). Files will ordinarily download as "zip" files to your computer hard drive. Use a utility such as WinZip to extract or "unzip" the file, and you will then have a program file in TI file format (e.g., a .83P file for a TI-83Plus, a .89P file for your TI-89, etc.). After extracting or unzipping, you can use the graphlink or connect software to load it onto your calculator, edit it, or modify it as you wish.
Links to downloadable programs:
For the TI-83Plus, 83Plus Silver Edition, 84Plus, and 84Plus Silver Edition, use these:
TI-83Plus/84Plus program to draw slope fields
TI-83Plus/84Plus program for Euler's method
TI-83Plus/84Plus program for Improved Euler's method
TI-83Plus/84Plus Program for Newton's method
TI-83Plus/84Plus program for LRAM, MRAM, RRAM
TI-83Plus/84Plus program for Trapezoidal Rule
TI-83Plus/84Plus program for Simpson's Rule
For the TI-89, use these (they'll also run on the TI-92, TI-92Plus, or Voyage 200):
NOTE: slope fields and the standard Euler's method are built-in to the 89, 89 Titanium, 92Plus, and V200, so no program is needed. Set your mode choice of FUNCTION, PARAMETRIC, POLAR, etc. to "DIFF EQUATION" and it will do it for you. Euler's method can be selected from the Diff Eq graph screen - use F1 Tools, 9 Format, and select Solution Method "Euler"; you can then set tstep in your window variables, and use the Table to see values. The "Improved" Euler's method (using an average slope with intermediate points) that is described in the Finney Demana textbook is not built-in; you can use the Euler program below for that method, and for the standard method if you wish.
TI-89/89Titanium program for Newton's Method
TI-89/89Titanium program for LRAM, MRAM, RRAM
TI-89/89Titaniuim program for Trapezoidal Rule
TI-89/89Titanium program for Simpson's Rule
TI-89/89Titanium program for Euler's Method and Improved Euler's Method
For the TI-86, use these links:
NOTE: slope fields and the standard Euler's method are built-in to the 86, so no program is needed. Set your mode choice (Func, Pol, Param, DifEq) to "DifEq" and it will do it for you. Go to Graph, select "More", "Format", and you can choose "Euler" and "SlpFld". Set your initial condition with INITC, set your tstep in the Window variables, and you can view values with the Table. The "Improved" Euler's method (using an average slope with intermediate points) that is described in the Finney Demana textbook is not built-in; a program for that will be posted here as soon as I write one!
TI-86 program for Newton's Method
TI-86 program for LRAM, MRAM, RRAM
TI-86 program for Trapezoidal Rule
TI-86 program for Simpson's Rule
If you have an original TI-83 (NOT an 83Plus), a TI-82 or a TI-85, go to this page:
Programs for older TI calculators
Here's a program in human-readable code, to show you what they look like:
Code listing for TI83+ Euler's method