TI TI-89 / TI-92 Plus Calculus Tools Getting Started What is the Calculus Tools Application? Before You Begin Starting the Calculus Tools Application Calculus Tools Menus F1:Tools F2:Deriv F3:Integ F4:Seq F5:Vector F6:Advanced More Information Calculus Tools Application Functions 8/10/01 © 2001 Texas Instruments
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What is the Calculus Tools Application? The Calculus Tools application (App) is a Concept software application for the TI-89 / TI-92 Plus. Concept software applications are calculator software application prototypes that demonstrate a new concept area. The Calculus Tools App extends the built-in power of your TI-89 / TI-92 Plus by providing more specialized functionality.
Before You Begin Concept applications are shared with our customers, educators, and students before product definition and testing is complete. These applications may contain software imperfections and/or incomplete coding areas. They are "alpha" software versions. TI invites feedback from teachers and students concerning the functionality and educational value of the Calculus Tools App. Please send your comments and questions to concept@list.ti.com.
Before starting the Calculus Tools App, set modes to the required values as follows: 1. From the Home screen, press 3 to display the MODE dialog box. 2. Ensure that the following modes are set as indicated: Mode Setting Graph FUNCTION Display Digits FLOAT or FLOAT # (1 - 12) Angle RADIAN Split Screen FULL Exact/Approx AUTO or EXACT Base DEC Language ENGLISH 3. Press ¸. The Home screen displays.
Using variables from the Main folder Using variables from the Main folder places those stored values in the Calculus Tools App functions. The Calculus Tools App, however, clears the following types of variables for specified functions. As a result, the data stored in these variables is lost.
8VLQJ QJ & &DOFX FXOOXV V 7 7RR RROOV V $ $SS SS 0 0HQX HQXV V Access the Calculus Tools App menus using the F1 through F6 function keys. F1 menu options let you change the configuration of what you see on the screen, such as viewing the complete answer or data entered as a string, changing split screen settings, and restoring window defaults.
F1:Tools F1 1:Display ANSWER Lets you view an answer that is too long to fit on the screen. (Answers are displayed as a string.) Tip You can also go to the Home screen, type answer, and press ¸. Scroll to see the complete answer displayed in Pretty Print.
F1 2:Display ENTERED Lets you view executed commands or functions as a string, including the Calculus Tools App functions and operations entered from the problem-entry dialog box. Tip To run a Calculus Tools App function from the Home screen, type entered and press ¸. The last command (function and instructions) executed appears. Be sure to remove the quotes from the string before executing the command.
F1 3:Change Split Screen Lets you choose between left-right (default) and top-bottom split screens. The TI-92 Plus lets you change the ratio of the split screen views. • 1:1 displays the answer and graph views at the same size. • 1:2 displays the answer view at half the size of the graph view. • 2:1 displays the answer view at twice the size of the graph view.
F1 4:Restore Window Defaults Restores the Calculus Tools App window parameters to default values. Dialog boxes accessed using the F3 menu options are also restored to default values. Function Graph Window Parameters Parameter Default Value xmin -3.55102040816 xmax 3.55102040816 xscl 1 ymin L3 ymax 3 yscl 1 xres 2 F1 5:Special Thanks Acknowledges some of the Calculus Tools App contributors. F1 6:About Displays a variety of information about the application, including the version number.
F2:Deriv F2 1:Tangent Line Displays the problem-entry dialog box for the tanLine(...) function along with an example problem (page 35). F2 2:Normal Line Displays the problem-entry dialog box for the prpendic(...) function along with an example problem (page 34).
F2 3:Newton’s Method Displays the problem-entry dialog box for Newton's Method along with an example problem. Enter a function f (x), Initial guess, and Number of iterations. Note The number of iterations must be an integer 1. The solution appears in a split screen. One portion of the split screen displays a sequence of approximations to a real root of the functions. The other portion of the split screen displays a graph of the function and draws tangent lines corresponding to consecutive iterations.
F2 4:Implicit Derivative Displays the problem-entry dialog box for the impDifN(...) function along with an example problem (page 32). F2 5:Curvature Displays the problem-entry dialog box for the curvatur(...) function along with an example problem (page 31).
F2 6:Center of Curvature Displays the problem-entry dialog box for the cntrCurv(...) function along with an example problem (page 30). F2 7:Osculating Circle Displays the problem-entry dialog box for the oscCircl(...) function along with an example problem (page 33).
F3:Integ F3 1:Left Sum Displays the problem-entry dialog box for the Left Sum integration method along with an example problem. Enter a function f (x), Lower bound, Upper bound, and Number of intervals. The answer appears in a split screen. One portion of the split screen displays the sum of the areas of the rectangles. The other portion of the split screen displays the graph of the function and draws the rectangles.
The other portion of the split screen displays the graph of the function and draws the rectangles. F3 3:Midpoint Rule Displays the problem-entry dialog box for the Midpoint Rule along with an example problem. Enter a function f (x), Lower bound, Upper bound, and Number of intervals. The answer appears in a split screen. One portion of the split screen displays the sum of the areas of the rectangles. The other portion of the split screen displays the graph of the function and draws the rectangles.
F3 4:Trapezoidal Rule Displays the problem-entry dialog box for the Trapezoidal Rule along with an example problem. Enter a function f (x), Lower bound, Upper bound, and Number of intervals. The answer appears in a split screen. One portion of the split screen displays the sum of the areas of the trapezoids. The other portion of the split screen displays the graph of the function and draws the trapezoids.
The other portion of the split screen displays the graph of the function and draws the parabolic arcs. F3 6:Comparison Returns the approximation to the definite integral using these previously mentioned methods: Left Sum, Right Sum, Midpoint Rule, Trapezoidal Rule, and Simpson’s Rule (pages 16 through 18).
F4:Seq (infinite series, sequences) F4 1:Ratio Convergence Test Displays the problem-entry dialog box for the ratioTst(...) function (page 34) along with an example problem. F4 2:1st-Order Sequence Displays the problem-entry dialog box for the seq1Solv(...) function (page 34) along with an example problem.
F4 3:2nd-Order Sequence Displays the problem-entry dialog box for the seq2Solv(...) function (page 35) along with an example problem. F5:Vector F5 1:Gradient Displays the problem-entry dialog box for the grad(...) function (page 32) along with an example problem.
F5 2:Divergence Displays the problem-entry dialog box for the div(...) function (page 31) along with an example problem. Note The number of components in exprList must equal the number of variables in varList. F5 3:Curl Displays the problem-entry dialog box for the curl(...) function (page 30) along with an example problem.
F5 4:Potential Displays the problem-entry dialog box for the potentl(...) function (page 33) along with an example problem. F6:Advanced F6 1:Error Function, erf Displays the problem-entry dialog box for the erf(...) function (page 31) along with an example problem.
F6 2:Comp. Error Function Displays the problem-entry dialog box for the erfc(...) function (page 31) along with an example problem. F6 3:Gamma Function Displays the problem-entry dialog box for the gamma(...) function (page 32) along with an example problem.
F6 4:Fourier Series Displays the problem-entry dialog box for the fourirCf(...) function (page 32) along with an example problem. F6 5:Integral of Density F6 5:Integral of Density > 1:over a Surface Displays the problem-entry dialog box for the surfIntg(...) function (page 35) along with an example problem.
F6 5:Integral of Density > 2:over a Polar Region Displays the problem-entry dialog box and example problem to set up an iterated integral to integrate a density over a region in polar coordinates. Use density 1 for an unweighted polar area. F6 6:Centroid of Density Displays the problem-entry dialog box for the aCntroid(...) function (page 29) along with an example problem.
F6 7:Inertia Tensor Displays the problem-entry dialog box for the aInertia(...) function (page 30) along with an example problem. F6 8:Arc Displacement Displays the problem-entry dialog box for the plrArcLn(...) function along with an example problem (page 33).
Working with Calculus Tools App Functions Use Calculus Tools App functions outside the application when working with programs or other built-in, user-defined, and Flash application functions. Note Calculus Tools App functions cannot be called from within the application. If you try to call a function using the application’s problem-entry dialog boxes, the error message, Protected memory violation, will appear. Exit and re-enter the application to ensure normal operation.
Accessing Calculus Tools App functions from VAR-LINK 1. From the Home screen, press 2 °. The VAR-LINK [ALL] screen appears. 2. Press 2 (TI-89) / g (TI-92 Plus). The list of Flash application functions appears. 3. Scroll through the list and select the function you want to use. You may need to expand the application's folder before you can view its functions. 4. Press ¸. The function appears on the entry line as CalcTool.function name 5. Add the required arguments to complete the command and press ¸.
alnertia(density, var1, lower1, upper1, var2, lower2(var1), upper2(var1)) Returns a 2x2 matrix denoting the inertia tensor of a density over a two-dimensional region. var1 varies from lower1 to upper1, which must be independent of var1 and var2. var2 varies from expression lower2 to expression upper2, which might depend on var1. Use density 1 for an area inertia tensor. Use F6 7:Inertia Tensor to display the problem-entry dialog box and example for this function.
curvatur(expression, var) Returns the curvature of expression with respect to var. Use F2 5:Curvature to display the problem-entry dialog box and example for this function. div(exprList, varList) Returns the rectangular Cartesian n-dimensional divergence of the vector represented by exprList with respect to the n coordinate variables in VarList. Use F5 2:Divergence to display the problem-entry dialog box and example for this function.
Use F6 2:Comp. Error Function to display the problem-entry dialog box and example for this function. fourirCf(expression, var, lowerLimit, upperLimit, n) Returns the truncated Fourier series of expression for var from lowerLimit to upperLimit, through the nth harmonic. Use F6 4:Fourier Series to display the problem-entry dialog box and example for this function. gamma(complexNumber) Returns the approximate gamma function of complexNumber.
oscCircl(expression, var, circleParameter) Returns a two-element list that is a parametric representation of the circle that osculates expression. Use F2 7:Osculating Circle to display the problem-entry dialog box and example for this function. plrArcLn(r(qVar), qVar, low, up, weight(qVar)) Returns the weighted arc displacement in polar coordinates, where var qVar varies from lowerLimit to upperLimit, with r(qVar) and weight(qVar) being expressions that might depend on qVar.
prpendic(expression, var, varValue) Returns an expression for the line that is normal to expression at var = varValue. Use F2 2:Normal Line to display the problem-entry dialog box and example for this function. ratioTst(expression, indexVar) Conducts the ratio test for the convergence of an infinite series, returning one of the strings converges, diverges, test inconclusive, or unable to complete test. Use F4 1:Ratio Convergence Test to display the problementry dialog box and example for this function.
seq2Solv(k, c, r(n), n, nMin, {u(nMin), u(nMin-1)}) Attempts to return an exact symbolic expression for u(n) that satisfies the linear 2nd-order constant-coefficient sequence equation u(n)=k
u(n-1)+c
u(n-2)+r(n) and ui={u(nMin) , u(nMin-1)}. Use F4 3:2nd-Order Sequence to display the problem-entry dialog box and example for this function.
Installing the Calculus Tools App Detailed Flash application installation instructions are available from education.ti.com/guides. You will need: • A TI-89 / TI-92 Plus with the latest Advanced Mathematics Software Operating System. Download a free copy from education.ti.com/softwareupdates. • A computer using either Microsoftë Windowsë or Appleë Macintoshë operating system software. • A TI-GRAPH LINK™ computer-to-calculator cable, available for purchase from the TI Online Store at education.ti.com/buy.
Starting and Quitting the Application Starting the Calculus Tools App The instructions in this guidebook refer to this Flash application only. For help using the TI-89 / TI-92 Plus, refer to the comprehensive guidebook at education.ti.com/guides. 1. Ensure modes are set to the required values. 2. Press 1:FlashApps and select Calculus Tools. 3. Press ¸. The Hint screen displays. Quitting the Calculus Tools App Press 2 K from the Calculus Tools App Hint screen.
Deleting an Application Deleting an application removes it from the calculator and increases space for other applications. Before deleting an application, consider storing it on a computer for reinstallation later. 1. Quit the application. 2. Press 2 ° to display the VAR-LINK [ALL] screen. 3. Press 2 (TI-89) / (TI-92 Plus) to display the list of applications. 4. Select the application you want to delete. 5. Press 1:Delete. The VAR-LINK delete confirmation dialog box displays. 6.
Concept Application Evaluation License Agreement (Including Preview, Prototype, and Demo APPS) By downloading the software and/or documentation you agree to abide by the following provisions. 1. Copyright: The Licensed Materials are copyrighted by TI or the third party licensor. Licensee agrees that he/she will not delete the copyright notice, trademarks or protective notices from the Licensed Materials or copies made during installation. 2.
Page Reference This PDF document contains electronic bookmarks designed for easy on-screen navigation. If you decide to print this document, please use the page numbers below to find specific topics. Important Information............................................................................................. 2 What is the Calculus Tools Application?................................................................ 3 Before You Begin ........................................................................
