In this work we show you what to do with the programming of Embedded Components applied to graphics in the Cartesian plane; from the visualization of a point up to three-dimensional objects and also using the Maple language generare own interactive applications for touch screen technology in mobile devices techniques. Given that computers use multicore and designed algorithms that solve calculus problems with very good performance in time; this brings programming to more complex mathematical structures such as in the linear algebra, analytic geometry and advanced methods in numerical analysis. The graphics will show real-time results for the correct use of the parallel programming undertook to bear the procedural technique is well suited to the data structure, curves and surfaces. Interaction in a single graphical container allowing the teaching and / or research the rapid change of parameters; giving a quick interpretation of the results.

FAST_UNT_2015.pdf

Programming_Embedded_Components_for_Graphics_in_Maple.mw

Atte.

L.Araujo C.

Physics Pure

Computer Science

Hi there,

How can I plot the equation $r=1/theta$ in polar plot in maple13? and in general for plotting $r=1/(theta-alpha)$ alpha is constant.?

 Any help will be appreciated.

Regards

Yegan

I tried to run a few calculation on maple, the numerical output is, e.g.

0.3 10^(-5)

Is there any simple way to set it as 0.3e-5? I am not intened to write the data into a file, hence, i am not sure if writedata is a suitable option.

Thank you very much! 

So as the title claims I am new to maple and am having trouble with trying to learn how exactly to accomplish certain things.

Mainly being that I am having trouble with a set of exquations that are equal to zero which I then set equal to eachother in order to solve for the values of the variables (x,y)

for example lets say that

f1:= x³-x²-(y²-y)x = 0

f2:= -1-ln(y)+ln(x-y) = 0 

now from here I start to become a bit iffy on what exactly I am supposed to be doing. I have a line of code stating 

f3:=f1=f2

and from there I have had absolutely no luck what so ever. 

any help would be much appreciated.

Hello!

I wanna ask you the next question.

I have system of four linear differential equations and solution of it (four functions f1,f2,f3,f4). When I try to verify my solution by odetest() I get a set of values: 0 and two bulky expressions with imaginary units.

So, I can't understand exactly my solution is right or not?

sysODE:={bla bla bla}{f1,f2,f3,f4}(x);
solsysODE:={f1(x)=........,f2(x)=......,f3(x)=......,f4(x)=.......};
misalign:=odetest(solsysODE,sysODE);
nops(%)
3
op(1,misalign) # zero
op(2,misalign) # not zero
op(3,misalign) # not zero

Thank you!

The expression

A := (a/u*(y*exp(-y) - x*exp(-x))/(y-x) + b/u) / (c/u + d/u);

is obviously equivalent to

I typed the latter by hand since I don't know how to do it in Maple.  Is there a trick to get Maple to do the simplification as shown?

Happy New Year! Now that 2014 is behind us, I thought it would be interesting to look back on the year and recap our most popular webinars. I’ve gathered together a list of the top 10 academic webinars from 2014 below. All these webinars are available on-demand, and you can watch the recording by clicking on the webinar titles below.

-----------------------------------------------

See What’s New in Maple 18 for Educators

In this webinar, an expert from Maplesoft will explore new features in Maple 18, including improved tools for developing quizzes, enhanced tools for visualizations, updated user interface, and more.

Introduction to Teaching Calculus with Maple: A Complete Kit

During this webinar you will learn how to boost student engagement with highly interactive lectures, reinforce concepts with built-in “what-if” explorations, consolidate learning with carefully-constructed homework questions, and more.

Maplesoft Solutions for Math Education

In this webinar, you will learn how Maple, The Möbius Project, and Maplesoft’s testing and assessment solutions are redefining mathematics education.

Teaching Concepts with Maple

This webinar will demonstrate the Teaching Concepts with Maple section of our website, including why it exists and how to use it to help students learn concepts more quickly and with greater insight and understanding.

Revised Calculus Study Guide - A Clickable-Calculus Manual

This webinar will provide an overview of the Revised Calculus Study Guide, the most complete guide to how Maple can be used in teaching and learning calculus without first having to learn any commands.

Clickable Engineering Math: Interactive Engineering Problem Solving

In this webinar, general engineering problem-solving methods are presented using clickable techniques in the application areas of mechanics, circuits, control, and more.

Hollywood Math 2

In this second installment of the Hollywood Math webinar series, we will present some more examples of mathematics being used in Hollywood films and popular hit TV series.

Robotics Design in Maple and MapleSim

In this webinar, learn how to quickly create multi-link robots by simply defining DH parameters in MapleSim. After a model is created, learn to extract the kinematic and dynamic equations symbolically in Maple.

Introduction to Maple T.A. 10

This webinar will demonstrate the key features of Maple T.A. from both the instructor and student viewpoint, including new features in Maple T.A. 10.

The Möbius Project: Bringing STEM Courses Online

View this presentation to better understand the challenges that exist today when moving a STEM course online and to find out how the Maplesoft Teaching Solutions Group can help you realize your online course vision.

-----------------------------------------------

Are there any topics you’d like to see us present in 2015? Make sure to leave us a comment with your ideas!

Kim

My eyesight is not what it used to be, so I would like to maginfy Maple's help window with a zoom factor of 150%.   I know how to do that by hitting Ctrl-F4.  My question is: Is it possible to save that setting somehow so that help is displayed at 150% by default?

Aside: The option Tools->Options->Interface->Default Zoom does not seem to do what I want.  For one thing, it sets the zoom factor of the main worksheet which I don't want to change.  For another thing, it affects the zoom factor of the help window in a rather mysterious way.  For instance, if I set Default Zoom to 400%, then the main window is indeed zoomed by 400% but the help window is zoomed by only 200%.

Platform: Maple 18 on Linux

If you define an array with entries from 1..10 and you want to plot these entries but with three different plots, e.g. entry 6 and 7, and again entry 10 shall be plotted separately: plot entries 1,2,3,4,5,8,9 in the same way, but entries 6,7 in a second and entry 10 in a third way. For example with different colors.

Is there a command for this?

How can we plot theta=pi/6 in polar coordinates by maple13?

D_Method.mw

The classical Draghilev’s method.  Example of solving the system of two transcendental equations. For a single the initial approximation are searched 9 approximate solutions of the system.
(4*(x1^2+x2-11))*x1+2*x1+2*x2^2-14+cos(x1)=0;
2*x1^2+2*x2-22+(4*(x1+x2^2-7))*x2-sin(x2)=0; 
x01 := -1.; x02 := 1.;

with(Tolerances):

a := `&+-`(2, .5);

b := `&+-`(30, 10);

evalf(a*b);

with(ScientificErrorAnalysis):

a1 := Quantity(2, .5);

b1 := Quantity(30, 10);

combine(a1*b1, errors);

Dear everyone, 

       I want to deal with experimental data with error. I find two ways to do the job. But  the results are different .Could you tell me which one is more correct?

      Thank you.

Barry.

Hi there,

I would like to use Maple to solve a couple of integrals.

My attempt seems to have some errors, since even if the integral expressions are rendered correctly, they are  not being solved. They shouldn't need numeric methods to be solved.

The integrals are the following:
G1 := int(e^((lambda-k)*s-e^(-k*s)), s = -infinity..t);
G := int(e^(-(lambda+k)*t-e^(-k*t))*G1, t = -infinity..infinity);

Thus:

and

And attached is the unsuccessful attempt: MaplePrimes_Lea-Catcheside.mw

Thanks,
jon

Hi there,
I have a set of differential equations whose solution, Jacobian matrix and its eigenvalues, direction field, phase portrait and nullclines, need to be computed.

Each of the equations has a varying parameter.

I know how to get the above for a single parameter value, but when I set a range of values for the parameters, Maple is not able to handle all cases as I would expect: solving the differential equation system:

eq1 := x*(1.6*(1-(1/100)*x)-phi*y)
eq2 := (x/(15+x)-0.3e-1*x-.4)*y+.6+theta
desys := [eq1, eq2];
vars := [x, y];
steadyStates := map2(eval, vars, [solve(desys)])

already yields an error:
Error, (in unknown) invalid input: Utilities:-SetEquations expects its 2nd argument, equations, to be of type set({boolean, algebraic, relation}), but received {-600*y+(Array(1..2, {(1) = 8400, (2) = 15900})), Array(1..5, {(1) = 0, (2) = 0, (3) = 0, (4) = 0, (5) = 0})}


The equations are the following:
de1 := diff(x(t), t) = x(t)*(1.6*(1-(1/100)*x(t))-phi*y(t));
de2 := diff(y(t), t) = (x(t)/(15+x(t))-0.3e-1*x(t)-.4)*y(t)+.6+theta

the parameters being:
phi:=[0 0.5 1 1.5 2]
theta:=[5. 10.]

How can I handle the situation so that Maple computes each of the above for each combination of the parameters?

I would like to avoid using two for loops and having to store all results in increasingly bigger and complicated arrays.

The worksheet at issue is this: MaplePrimes_Tumour_model_phi_theta_variation.mw

Thanks,
jon

Hi there,
I am wondering how to print parentheses in the legend of an odeplot.

The following command

odeplot(numsolnf, [[t, CECnf(t)], [t, VECnf(t)], [t, CICnf(t)], [t, VICnf(t)]], 0..50, opts, legend = ['Extracelular urea concentration (mg/dL)', 'Extracelular urea volume (L)', 'Intracelular urea concentration (mg/dL)', 'Intracelular urea volume (L)'])

where numsolnf is the numerical solution of the equation system composed by CECnf(t), VECnf(t), CICnf(t), and
VICnf(t) produces no parentheses.

And the "Extracelular urea concentration (mg/dL)" and "Intracelular urea concentration (mg/dL)" are displayed as if the whole text was a quotient:

Extracelular urea concentration mg
dL

Any ideas about how to solve these issues?

Thanks,
jon