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The X-Philes Number 1 (1995).iso
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calculus.doc
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1995-03-31
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CALCULUS.ENG File
Exploring Calculus
by Dennis York
Copyright (c) Hewlett-Packard Company, 1992.
Overview
--------
The Exploring Calculus application provides a number of functional
extensions to the HP 48, wrapped in a soft key interface. The application
is designed to aid students in the exploration of calculus and pre-calculus
mathematics.
The programs were inspired by Dr. Bert Waits and are more fully documented
in "The Graphing Calculator and Computer Graphing Laboratory Manual";
Demana, Waits, Vonder Embse, & Foley; Addison-Wesley Publishing Company;
Third Edition.
Procedure
---------
After transferring the CALCULUS directory object to your HP 48 using binary
transfer mode:
Press the [VAR] key. Press the |CALCU| soft key to enter the sub
directory. Press the |KEYS| soft key (you might have to press [NXT] to find
it. You will see the top line of the menu structure below in the soft
keys.
In the following paragraphs, the symbol {S} equals the HP 48 Integral Sign.
NWEX FUNC GRPH {S} DFEQ IR
| | | |
| | | NWXY ->XMN ->XMX ->STP ->X Y KEYS
| | | EULR IEULR RUNK PLOT TABLE KEYS
| | | ERASE ->YMN ->YMX ADFX KEYS
| | |
| | ->A B HP{S} N->R{S} N->T{S} N->S{S} KEYS
| |
| ERASE F(X) F'(X) A->{S} ZMFIT KEYS
| A->TA FSTR BETR KEYS
| ->XMN ->XMX ->YMN ->YMX KEYS
|
X->F X->F' ->H X->NF' KEYS
The soft keys are defined as follows:
|NWEX| NeW EXpression: allows you to key in a new expression or edit the
current one. It automatically defines the function as F, its
symbolic derivative as DF, and sets a number of system variables
so that they are correct for learning mathematics.
|FUNC| FUNCtion evaluation: Allows the function and its derivative to be
evaluated interactively.
|X->F| Given X, computes F(X).
|X->F'| Given X, computes the derivative from DF(X) which is
the analytic solution.
|->H| Stores the delta value H for the numerical derivative.
|X->NF'| Given X computes the numerical derivative of F(X).
| | Blank key.
|KEYS| Goes back to top level menu.
|GRPH| GRaPHing: Allows functions, derivatives, and integrals to be
graphed interactively.
|ERASE| Erases current graph (done automatically when limits
are changed).
|F(X)| Plots F(X).
|F'(X)| Plots F'(X).
|A->{S}| Plots integral of F(T) with limits of A to X.
|ZMFIT| Sets the Y plotting limits to the limits of the last
function plotted.
|KEYS| Goes back to top level menu.
[NXT] To see the next six soft keys.
|A->TA| Draws a line tangent to F(X) at point A and puts the
equation of the resulting line in the stack.
| | Blank key.
| | Blank key.
|FSTR| Makes plotting faster.
|BETR| Increases plotting resolution.
|KEYS| Goes back to top level menu.
[NXT] To see the NeXT six soft keys.
|->XMN| Sets the minimum limit of X.
|->XMX| Sets the maximum limit of X.
|->YMN| Sets the minimum limit of Y.
|->YMX| Sets the maximum limit of Y.
| | Blank key.
|KEYS| Goes back to top level menu.
|{S}| Integration: Allows different methods of integration to be
compared.
|->A B| Stores the limits of integration.
|HP{S}| Computes integral using the HP 48's built-in
capability.
|N->R{S}| Computes integral using rectangular elements.
|N->T{S}| Computes integral using trapezoidal elements.
|N->S{S}| Computes integral using Simpson's Rule.
|KEYS| Goes back to top level menu.
|DFEQ| Differential Equations: Allows different numerical methods of
solution to differential equations to be compared.
|NWXY| Automates definition of G(X,Y).
|->XMN| Sets the minimum limit of X.
|->XMX| Sets the maximum limit of X.
|->STP| Sets the step size H.
|->X Y| Sets the initial conditions X0 and Y0.
|KEYS| Goes back to top level menu.
[NXT] To see the NeXT six soft keys.
|EULR| Saves Euler solution in {Sigma}DAT.
|IEULR| Saves improved Euler solution in {Sigma}DAT.
|RUNK| Saves Runge-Kutta solution in {Sigma}DAT.
|PLOT| Plots points from most recent solution above.
|TABLE| Moves to statistics menu to view the data in tabular
form.
|KEYS| Goes back to top level menu.
[NXT] To see the NeXT six soft keys.
|ERASE| Clears the graph.
|->YMN| Sets Ymin for plotting.
|->YMX| Sets Ymax for plotting.
| | Blank key.
|ADFX| Uses an analytic function F(X) to add a third column to
{Sigma}DAT for comparison.
|KEYS| Goes back to top level menu.
| IR | Infrared Output: Clones the application to another HP 48.
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