![]() If Maple does not perform an operation (for example, by calling simplify ) that is valid for your expression, use the assuming operator. To avoid this situation, Maple has another power function, surd, that returns a real value whenever possible.Ĭertain transformations that are valid for real-variable calculus are not valid for general complex numbers. 5 because the rest of the graph consists of complex numbers. ![]() 5 using the Maple plot command, you see only the part of the graph on the positive interval 0. If you plot the cube root function over the interval −5. This can conflict with your expectations for some common functions, for example, the cube root function x 1 3. For negative x and non-integer r, this principal branch is complex-valued. Maple implements what is known as the principal branch of this function. This follows from the fact that the power function is multi-valued when r is not an integer. The general power function, x r where r is a given real number, is real-valued only for 0 < x unless r is an integer. The Rule routine returns ln − x when appropriate for a definite integral. For example, it creates difficulties when studying the integration theory of complex numbers. While convenient in the context of single-variable calculus, this form is of questionable value in general. The latter answer, often found in calculus textbooks, is actually a shorthand representation of two different antiderivatives of 1 x : ln x if 0 < x and ln − x if x < 0. ∫ 1 x &DifferentialD x = ln x, not ln &verbar x &verbar. This has resulted in the following consequences. However, it is also a goal to introduce as few conflicts with the main Maple system as possible. The routines in the Calculus1 subpackage compute only over the real domain they are not meant to be used with input expressions that contain nonreal complex numbers. While the focus of the Calculus1 subpackage is single-variable calculus, and in particular, real-variable calculus, it exists as a part of the Maple system, whose normal domain of computation is the field of complex numbers. In all cases, the form option_name = true can be abbreviated as option_name. These options are used, for example, to control which components are included in a plot. Note on boolean options: Many of the commands in the Student:-Calculus1 subpackage take boolean options, that is, options of the form option_name = value, where value is true or false. Then, these commands are consolidated under the Student:-Calculus1 name. Many of the commands and tutors in the Student:-Calculus1 package can be accessed through the context panel. The Maple Command Completion facility is helpful for entering the names of Student package commands. The short form can be used after loading the package. The long form, Student:-Calculus1:-command, is always available. Įach command in the Student:-Calculus1 subpackage can be accessed by using either the long form or the short form of the command name in the command calling sequence. The routines in the subpackage are referred to using the terms routine or command. Note: Throughout the help pages for the Calculus1 subpackage, the terms function and expression are generally used interchangeably, and refer to the mathematical objects that can be manipulated using the operations of calculus. To access Student:-Calculus1 tutors, from the main menu select the Tools>Tutors>Calculus. General commands that are not related to visualization, interactive, or single-step computation are described in the Additional Commands section. These components are described in the following sections. There are three principal components to the subpackage: interactive, visualization, and single-step computation. The Student:-Calculus1 subpackage is designed to help teachers present and students understand the basic material of a standard first course in single-variable calculus. ![]() Student:-Calculus1:- command ( arguments ) Getting Help with a Command in the Package If more than one room is listed, you will find your room at Studentweb.Overview of the Student Calculus1 Subpackage * The location (room) for a written examination is published 3 days before examination date. Summer UTS School exam 100/100 D INSPERA Room Term Status code Evaluation Weighting Examination aids Date Time Examination system Room * Autumn ORD School exam 100/100 D
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