Items tagged with calculus

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I'm in the process of reviewing Calculus for self-learning--I'm not in a class room but learning/re-learning on my own.  Would the Calculus Bundle be sufficient for that purpose?  Does it contain enough supporting information to permit self-learning?  Would steps be shown for equation solutions?

with the following input:

with(VectorCalculus);

X := r -> sqrt(2/Pi)*alpha*exp(-alpha^2*(r.r));

a_0:=a*<1/(2*sqrt(3) , 1/2>;

r:=<x,y>;

K:=<k_1, k_2>;

assume(alpha::real);

assume(alpha>0);
assume(k_1>0);

assume(k_2>0);

assume(k_1::real);

assume(k_2::real);

eq1:=int( X(r-a_0) , x=-infinity .. infinity);

 

Why is the ouput :

 



How could develop the following in Maple:

1) Solve the series using the alternating series method:

12 - 6 + 3 - 1.5... 

I know the answer is 8 because it is in the back of my calculus textbook...I just don't know how it is 8.

 

2) Solve the series:  ((2/k) - (2/k+3)) where k = 1 to infinity. 

I know the answer is 11/3...I just don't know how to get there.

My question is this: 

In with(DifferentialGeometry): with(JetCalculus) with(Physics):

I work with the following Jet Bundle:

DGsetup([x], [u, psi], E, 40), 

where psi is declared anticommuting with Setup(anticommutativeprefix={psi}). 

When I work with expressions that are differential polynomials in u with coefficients arbitrary functions of u, the EulerLagrange operator behaves correctly. The same is true if I multiply these expressions by psi or by psi_1 ...

Im using maple 13

I always encounter an error everytime i use the feature ShowSolution

the error says:

"Error, (in Student:-Calculus1:-ShowSolution) input expression does not have any incomplete calculus operations"

This always happens in all the calculations.

 

How should I use the ShowSolution properly?

 

how can i understand calculus own my own. and i'm a lazy student.
Is there a way to find out what packages (i.e. statistics, or calculus, etc.) that are in my Maple installation? I bought a student version of Maple, now I need to use Statistics (with (Statistics): ) but don't really know If I have Statistics package installed or not. Thanks
Is there a way to find out what packages (i.e. statistics, or calculus, etc.) that are in my Maple installation? I bought a student version of Maple, now I need to use Statistics (with (Statistics): ) but don't really know If I have Statistics package installed or not. Thanks

I am attempting to get MAPLE to generate indefinite integrals that are of the form:

exp(-k[r^2-a^2*cos(x)]^0.5)

from fundamental calculus principles I might set u = [r^2-a^2*cos(x)]^0.5 which then should yield du/dx = 1/2*(a*sin(x)/[r^2-a^2*cos(x)]^0.5).

Then if my math is correct the result should end up:

2*(r^2-a^2*cos(x)]^0.5)*exp(-k[r^2-a^2*cos(x)]^0.5)/[-k*a*sin(x)]

This blog will contain postings documenting some of my mathematical travels. In particular it will chronicle my experiences and problems in learning maple and the mathematics I am studying along the way.

Hi,

I,m totally new to maple and am trying this as a tool to help me with my calculus class. I'm trying to figure out how to create a plot from a table of x and y values, but I'm not having a lot of luck.

The goal would be to plot a Riemann sum once I have created the plot. If anybody can point me in the right direction that would be great.

Thanks,

Mark

As many of the users on MaplePrimes are instructors, I thought it appropriate to let everyone know about a new resource available on the Maplesoft web site called the Teacher Resource Center.

Hello,

when using Maple to do simple calculus I usually have to explicitly
state the dependence of each variable in the expression....for example

c*(1-cos(x[1](t)))+x[2](t)^2/2

is there a way to declare generic functions of a dependent variable
say

x1 = x1(t) or x2 = x2(x,y,z)

and avoid having to do it repeatedly in an expression?  I know i can use subs to replace patterns, but can you declare somthing like f(x,y,z,t) without giving the details?

Thank you

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