User manual MAPLESOFT MAPLE 14

[. . . ] Maple User Manual Copyright © Maplesoft, a division of Waterloo Maple Inc. 1996-2010 Maple User Manual Copyright Maplesoft, Maple, MapleSim, Maple Application Center, Maple Student Center, Maplet, Maple T. A. , and MapleNet are all trademarks of Waterloo Maple Inc. © Maplesoft, a division of Waterloo Maple Inc. No part of this book may be reproduced, stored in a retrieval system, or transcribed, in any form or by any means -- electronic, mechanical, photocopying, recording, or otherwise. [. . . ] This section describes the key Maple calculus commands, many of which are used in task templates or available in the context menus. For a complete list of calculus commands, refer to the Mathematics (including Calculus, Differential Equations, Power Series, and Vector Calculus subfolders) and Student Package sections of the Maple Help System Table of Contents. Limits To compute the limit of an expression as the independent variable approaches a value: 1. In the Expression palette, click the limit item . 2. Specify the independent variable, limit point, and expression, and then evaluate it. Press Tab to move to the next placeholder. For example: > The limit Command By default, Maple searches for the real bidirectional limit (unless the limit point is or -). To specify a direction, include one of the options left, right, real, or complex in a call to the limit command. See Table 5. 8. 176 · 5 Mathematical Problem Solving Table 5. 8: Limits Limit Command Syntax Output undefined > > > Using the limit command, you can also compute multidimensional limits. > For more information on multidimensional limits, refer to the ?limit/multi help page. Numerically Computing a Limit To numerically compute a limit: · Use the evalf(Limit(arguments)) calling sequence. Important: Use the inert Limit command, not the limit command. For more information, refer to the ?limit help page. The Limit command accepts the same arguments as the limit command. For example: > For information on the evalf command, see Numerical Approximation (page 361). The Limit command does not compute the limit. It returns an unevaluated limit. 5. 4 Calculus · 177 > For more information on the Limit command, refer to the ?Limit help page. Differentiation Maple can perform symbolic and numeric differentiation. In the Expression palette, click the differentiation item item . Specify the expression and independent variable, and then evaluate it. For example, to differentiate > with respect to : You can also differentiate using context menus. For more information, see Context Menus (page 39). To calculate a higher order or partial derivative, edit the derivative symbol inserted. For example, to calculate the second derivative of > with respect to : To calculate the mixed partial derivative of : 178 · 5 Mathematical Problem Solving > Note: To enter another symbol, you can copy and paste the existing symbol, or enter d and use symbol completion. [. . . ] On the Maple toolbar, click the Maple help icon OpenMaple OpenMaple is a suite of functions that allows you to access Maple algorithms and data structures in your compiled C, Java, or Visual Basic programs. (This is the reverse of external calling, which allows access to compiled C, Fortran 77, and Java code from Maple. ) To run your application, Maple must be installed. You can distribute your application to any licensed Maple user. For additional terms and conditions on the use of OpenMaple, refer to the extern/OpenMapleLicensing. txt file in your Maple installation. [. . . ]