Problems concerning integration have been discussed on  maple primes  before with piecewise continuous antiderivatives explaining  difficulties. Here an example is given using Maple 15 where a continuous antiderivative is returned but definite integration fails to give the correct answer.

Integration_anomal.mw

In case if you like notepad++  under windows, and still didn't do smth like that then this is for you .userDefineLang.zip

Unpack to notepad++ folder. In case if you already had had other
own language then just copy "Maple language" section.

I have contributed another application to the Application Center: "Street-fighting Math".
This interactive Maple document contains a simple street-fighting game and performs a
mathematical analysis of it, involving probability and game theory. 

One of the challenges in Linear Algebra is in developing problems, projects, and exercises that are both larger dimensional and student-accessible. Indeed, round-off error, computational complexity, difficulty factoring characteristic polynomials of degree 3 or higher, and similar aspects often mean that any problems or applications of rank 3 or higher are approached solely via technology. 

However, that same technology can be used to create...

Powerful database + Maple = Fun

Are you struggling to connect Maple with a simple microsoft access database?
Then after weeks of error messages you finally manage to connect just to
discover that the datafeed is slow slow slow ie you are driving a Fiat Punto
when you really should be driving a ferrari!

Then maybe OpenTSDB http://opentsdb.net/index.html is something for you.
OpenTSDB is free software...

Hi.

Some times ago, I have asked about possibility to solve multilayer transient heat transfer problem.
The problem was solved originaly by Robert Israel. I enclosed his solution and explanation in file Xpde_oryginal.mw.
Thank's Robert!


There was a problem with correct results of numeric PDE in Maple 14 when I have used convection and radiation BC toogather. However Maplesoft have removed this bug in version 15, thus now I have obtained right results...

I have always thought that regressions has been too complicated in Maple. 
The Fit command is too fiddly ie you have to specify too many things and 
it is easy to get it wrong plus the statistical output you get is far from 
mainstream ie you dont get t-values, p-values, R, R^2, Adj R^2 etc etc.

I have therefore designed a module called SReg with a new procedure called Reg()
which only needs one input and that is a datamatrix. It is important however that 

Liquid flowing in a pipeline has inertia.  If a valve at the end of the pipeline suddenly closes, a pressure surge hits the valve, and travels through the pipeline at the speed of sound. The damping effect of fluid friction gradually attenuates the pressure wave.

This phenomenon is called water hammer and can cause damage significant damage, sometimes even rupturing the pipeline.

The pressure wave often produces audible sound. If you’ve ever heard...

For your information.

The growth of the audience of russian Maple site webmath.exponenta.ru
According bigmir.net

 year        hits          visitors         hosts        

 2010      608 118    193 495     179 328
 2011  ...

National Public Radio in the USA carries Car Talk, a humorous phone-in program in which Tom and Ray Magliozzi (Click and Clack, the Tappet Brothers) diagnose and offer solutions for mysterious auto-related maladies. It's an amusing hour on Saturday mornings.

Here's an example exhibited by Nusc, which I have tweaked slightly to make it look more like your mathematica example.

### Reference: http://www.mapleprimes.com/questions/36580-Bifurcation-Diagram

### xexpr is the logistic function to be iterated (we always start off at x=1/2, which will eventually attract).
### [ra,rb] is the range of the parameter.
### acc is the number of points sampled in [ra,rb]

Bifurcation := proc(initialpoint,xexpr,ra,rb,acc)

On November 22, Joe Riel posted an implicit differentiation problem that caught my attention. It took the manipulations typically learned in an Advanced Calculus course one step further, but the devices learned in such a course could readily be applied. Joe's solution was expressed in terms of exterior...

I've submitted an application to the Application Center: An Epidemic Model (for Influenza or Zombies).  This is an interactive Maple document, suitable for instructional use in an undergraduate course in mathematical biology or differential equations, or a calculus course that include differential equations. ...

This is the Affine Scaling Algorithm outlined by:

Linear and nonlinear programming with Maple: an interactive, applications ...
Paul E. Fishback,Paul F. Fishback

Wide set of expressions can convert to compiled functions. Expressions can even include definite integrals.
Hope it helps for others who want really speedup calculations in maple as much as possible for now.

ex.mw

Checked under 15.01 version