Activities

• • • Subject Area

• Math: Calculus: Other Functions

• Author College

60 Minutes

• Device
• TI-89 / TI-89 Titanium
• TI-92 Plus / Voyage™ 200

TI Connect™

• Accessories

TI Connectivity Cable

• Report an Issue

Calculus Mini Labs with the TI-89 and the TI-92 Plus

Activity Overview

In this Computer Algebra System (CAS) activity, students' learn to store calculation steps in the text editor of the calculator as a script file. This file is later accessed, modified, and used to solve other similar problems.

Before the Activity

• Install TI Connect™ using the TI connectivity cable
• See the attached PDF file for detailed instructions for this activity
• Print pages 1 - 6 from the attached PDF file for your class
• During the Activity

Distribute the pages to the class.

Follow the Activity procedures:

• Study a helix in parametric form and use the given script to compute its length over a closed interval
• Save the script
• Access the script, modify the script, and replace the coordinate functions and the limits of integration to find the length of a DNA helix

• Prove the equality of mixed partial derivatives, store the steps, and use it to verify results of other functions

• Study the script involving harmonic functions
• Modify the script and apply the second derivatives test to find the local extrema of a real valued function of two or three variables

• Examine Lagrange's multipliers, and solve a problem with a system of 4 non-linear equations

• Study the script to explore Riemann Sums in introductory integral calculus
• After the Activity

Students' answer questions on the Activity sheet.

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary