User manual TEXAS INSTRUMENTS TI-86

[. . . ] TI-86 GRAPHING CALCULATOR GUIDEBOOK TI-GRAPH LINK, Calculator-Based Laboratory, CBL, CBL 2, Calculator-Based Ranger, CBR, Constant Memory, Automatic Power Down, APD, and EOS are trademarks of Texas Instruments Incorporated. IBM is a registered trademark of International Business Machines Corporation Macintosh is a registered trademark of Apple Computer, Inc. Copyright © 1997, 2001 by Texas Instruments Incorporated ii Important Texas Instruments makes no warranty, either expressed or implied, including but not limited to any implied warranties of merchantability and fitness for a particular purpose, regarding any programs or book materials and makes such materials available solely on an "as-is" basis. In no event shall Texas Instruments be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of these materials, and the sole and exclusive liability of Texas Instruments, regardless of the form of action, shall not exceed the purchase price of this equipment. [. . . ] -m### #"""b 6/&# ####"" b & ` 001 ' 1 D 100 T ' 1 E -h#"1 - f # 100 # `2### 100 # # # 110 Display the initial conditions editor and enter the initial condition. ( 10 Chapter 10: Differential Equation Graphing Select EXPLR from the GRAPH menu. Move the free-moving cursor to the initial condition for which you want to solve. /* "#!$ b 149 Draw the solution to Q1, using the cursor coordinates (x, y) as initial condition ( t, Q'1(t) ). To continue drawing more solutions, move the free-moving cursor and then press b. If SlpFld or DirFld is set, the axes are set to specific solutions automatically. If the axes are set to a specific solution t, Qn, or Q'n, that solution is drawn. If the axes are not set to a specific solution and t is one variable and Q is the other, Q1 is drawn. If both axes are set to a Q variable, executing EXPLR results in an error. 150 Chapter 10: Differential Equation Graphing Evaluating Differential Equations for a Specified t When the trace cursor is not active, the GRAPH menu item EVAL evaluates currently selected differential equations Qn for a specified value of t, tMinttMax. In a program or from the home screen, eval returns a list of Q values. When DirFld or SlpFld field format is set, you must specify initial conditions before using EVAL. 11 Lists TI-86 Lists on the TI-86. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 Creating, Storing, and Displaying Lists . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153 The List Editor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156 Using List Operations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161 Attaching a Formula to a List Name . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162 M1 M2 M3 M4 M5 F1 F2 F3 F4 F5 152 Chapter 11: Lists Lists on the TI-86 The length and number of lists you can store in the TI-86 is limited only by memory capacity. A list is a set of real or complex elements, as in {5, L20, 13, 9}. On the TI-86, you can: Enter a list directly in an expression (page 153) Enter a list and store it to a list name (variable) (page 154) Enter a list name in the list editor (page 156), and then enter elements directly or use an attached formula to generate them automatically (page 161) Collect data with the Calculator-Based LaboratoryTM (CBL 2TM/CBLTM) or Calculator-Based RangerTM (CBR) and store it to a list name on the TI-86 (Chapter 18) Create lists dynamically using the LIST OPS menu item seq (page 159) On the TI-86, you can use a list: As a set of values for an argument in a function to return a list of answers (Chapter 1) As part of an equation to graph a family of curves (Chapter 5) As a set of statistical data to analyze with statistical functions and plot on the graph screen (Chapter 14) The LIST Menu { open brace close brace If you enter more than one list in an equation or expression, all lists must have the same number of elements. -" NAMES list names menu } EDIT OPS list operations menu list editor When you enter a list, { (open brace) specifies the beginning and } (close brace) specifies the end. To paste { or } to the cursor location, select either from the LIST menu. Chapter 11: Lists 153 The LIST NAMES Menu The LIST NAMES menu shown here has no usercreated list names. Chapter 14 describes fStat, xStat, and yStat. -"( EDIT OPS { fStat } xStat NAMES yStat Each user-created list name is added to the LIST NAMES menu and VARS LIST screen. List names, including fStat, xStat, and yStat, are sorted in alphanumeric order in both places. Creating, Storing, and Displaying Lists Entering a List Directly in an Expression To enter a list directly, the syntax is: {element1, element2, . . . , element n} Enter any part of the expression that precedes the list. Select { from the LIST menu to begin the list. 5M -"& a 16 P 4 P 4IP3 -~ ' F4 b Enter each list element, separating each from the other with a comma. Select } from the LIST menu to end the list. An ellipsis (. . . ) indicates that a list continues beyond the screen. to scroll the list. Enter any part of the expression that follows the list. Any elements that are expressions are evaluated first. 154 Chapter 11: Lists Creating a List Name by Storing a List To store a list, the syntax is: {element1, element2, . . . [. . . ] This warranty gives you specific legal rights, and you may also have other rights that vary from state to state or province to province. During the above one (1) year warranty period, your defective product will be either repaired or replaced with a reconditioned model of an equivalent quality, (at TI's option) when the product is returned, postage prepaid, to Texas Instruments Service Facility. The warranty for the repaired or replacement unit will continue for the warranty of the original unit or six (6) months, whichever is longer. Other than the postage requirement, no charge will be made for such repair and/or replacement. [. . . ]