TI-92 CAS Window -- Newton's Model of Cooling -- First Look


You can work through this module either using your own data or using the data included in these files. If you use your own data then you will load it directly into the TI-92 from the TI-CBL. If you use the data included here then you will either need to type it into your TI-92 or, if you have the TI-Graph Link program and cable and your browser is configured to use this program then you can download the data to your TI-92 by clicking in the TI-Graph Link Program icon below and downloading the program cooldata to the TI-92 in the usual way. After you've downloaded the program, run it by typing cooldata() in the home screen and pressing ENTER. The time readings will be placed in the list L1 and the temperature readings will be placed in the list L2.

The program fitdata will fit a curve of the form

q(t) = A + k^(t - n) (q(n) - A)

to the data in the list L2 and put the curve in the list L3. You either type the program fitdata into the TI-92 or download it from the computer using TI-Graph Link in the usual way.

Missing TI-92 program

To run the program fitdata type fitdata() in the home screen and press ENTER. The program will ask for the values of n and p as described in your browser window. After fitdata has computed a model you can compare the model and the original data using the TI-92 table and graph features in the usual way. Make sure that the graphics mode is set to SEQUENCE. You may want to look at the help files for graphing a sequence or making a table for a sequence.

The screen below shows how the Y= screen should be set up for both the table and the graph.

Missing TI-92 screen

The screen below shows how the window screen should be set up to graph the original data and the model.

Missing TI-92 screen

The screen below shows the graph for the data given here and the model obtained using n = 20 and p = 20. Notice the original data is shown by dots and the model with a solid line.

Missing TI-92 screen

The screen below shows how the the TblSet screen should be set up to produce a table showing the original data and the model.

Misiing TI-92 screen

The screen below shows the same data and model as the graph above but in tabular form.

Missing TI-92 screen


Copyright c 1995 by Frank Wattenberg, Department of Mathematics, Carroll College, Helena, MT 59625.