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Ten new 'Teaching Concepts with Maple' examples...

by: rlopez 3025 Maple
August 03 2012
7  0

With the addition of ten new Clickable-Calculus examples to the Teaching Concepts with Maple section of the Maplesoft website, we've now posted 63 of the 154 solved problems in my data-base of syntax-free calculations. Once again, these examples and associated videos illustrate point-and-click computations, but more important, they embody the

Example of animation

by: Kitonum 21500 Maple
August 02 2012
3  0

At first I wanted to post this message as a response to a question

http://www.mapleprimes.com/questions/136153-AnimateDisplay 

But for some reason the message is not loaded.

Look at the example of animation of astroid. First you need to create animation frames as separate graphical structure (in my example - it is E[k] ). And only then by  plots [display]

New Teaching Examples Added

by: rlopez 3025 Maple
June 20 2012
4  1

My list of problems solved with Clickable-Calculus syntax-free techniques now numbers 154, spread over eight subject areas. Recently, Maplesoft posted to its website 44 of these problems, along with videos of their point-and-click solutions. Not only do these solutions demonstrate Maple functionalities, but they also have a pedagogic message, that is resequencing skills and concepts. They show how Maple can be used to obtain a solution, then show how Maple can be used to implement...

An amusing derivative.

by: jaytreiman 273 Maple
June 13 2012
4  3

On a calculus 2 test I was given to review the students were asked to find the derivative of arccosh(x)*sqrt(1-x^2).  Maple gives the answer -arccosh(x)*x/sqrt(1-x^2)+sqrt(1-x^2)/(sqrt(x-1)*sqrt(x+1)).   This is the same answer, in a slightly...

3D MEGEbank

by: Valery Cyboulko 160 Maple
education
June 11 2012
0  0

Teaching Concepts with Maple

by: rlopez 3025 Maple
May 14 2012
6  10

Being easy to use is nice, but being easy to learn with is better. Maple’s ease-of-use paradigm, captured in the phrases “Clickable Calculus” and “Clickable Math” provides a syntax-free way to use Maple. The learning curve is flattened. But making Maple easy to use to use badly in the classroom helps neither student nor instructor.

In the mid to late ‘80s,...

166 hits in Maple 16

by: Valery Cyboulko 160 Maple 16
education
May 03 2012
0  0

In memory of a Friend. Maple 16 for Russian students.

260412.zip

Оформление - облегченное, чтобы работало на любом компьютере. Разархи и открыти файл ege.html. Неточности присутствуют, наверное. Поправим вместе.

Visualizing Sorting Algorithms

by: Clare So 175 Maple 16
April 20 2012
9  4

I did not come across with a sorting algorithm animation that allows me to enter my own data, so I decided to write one in Maple.

In this worksheet, you can create an animation on sorting the integers that you have entered. If you let the worksheet to generate the data for you, you can specify the sortedness of the data. This feature allows you to visualize how some algorithms perform better or worse on data of a certain characteristic: The time complexity may not be...

MRB Constant W

by: Marvin Ray Burns 550
integer constant
April 14 2012
0  1

 

with(numtheory):

f := proc (x) options operator, arrow; sum((-1)^n*(n^(1/n)-1), n = x .. infinity) end proc

proc (x) options operator, arrow; sum((-1)^n*(n^(1/n)-1), n = x .. infinity) end proc

 (1)

What are the quotients  ot the  continued fration of the sum of f(1)+f(2)+f(3)+f(4)+...

Here are the  quotients  of some partial sums.

``

cfrac(evalf(sum(f(x), x = 1 .. 2)), 'quotients')

[0, 2, 1, 1, 1, 21, 10, 4, 1, 4, 8, `...`]

 (2)

cfrac(evalf(sum(f(x), x = 1 .. 3)), 'quotients')

[0, 6, 1, 2, 3, 1, 1, 2, 3, 3, 24, `...`]

 (3)

cfrac(evalf(sum(f(x), x = 1 .. 4)), 'quotients')

[0, 2, 1, 2, 1, 4, 2, 1, 3, 1, 1, `...`]

 (4)

cfrac(evalf(sum(f(x), x = 1 .. 5)), 'quotients')

[0, 5, 1, 99, 1, 1, 1, 6, 1, 3, 1, `...`]

 (5)

cfrac(evalf(sum(f(x), x = 1 .. 6)), 'quotients')

[0, 2, 1, 6, 1, 2, 1, 2, 2, 1, 1, `...`]

 (6)

cfrac(evalf(sum(f(x), x = 1 .. 7)), 'quotients')

[0, 5, 1, 1, 142, 1, 1, 1, 1, 19, 1, `...`]

 (7)

cfrac(evalf(sum(f(x), x = 1 .. 8)), 'quotients')

[0, 2, 1, 47, 1, 1, 1, 1, 27, 4, 1, `...`]

 (8)

cfrac(evalf(sum(f(x), x = 1 .. 9)), 'quotients')

[0, 5, 5, 3, 1, 7, 1, 1, 1, 2, 1, `...`]

 (9)

cfrac(evalf(sum(f(x), x = 1 .. 100)), 'quotients')

[0, 3, 1, 1, 1, 11, 2, 2, 1, 1, 4, `...`]

 (10)

cfrac(evalf(sum(f(x), x = 1 .. 200)), 'quotients')

[0, 3, 1, 2, 1, 1, 1, 11, 3, 4, 6, `...`]

 (11)

cfrac(evalf(sum(f(x), x = 1 .. 400)), 'quotients')

[0, 3, 1, 3, 3, 3, 1, 18, 1, 2, 1, `...`]

 (12)

cfrac(evalf(sum(f(x), x = 1 .. 800)), 'quotients')

[0, 3, 1, 3, 1, 4, 16, 14, 3, 23, 2, `...`]

 (13)

cfrac(evalf(sum(f(x), x = 1 .. 1600)), 'quotients')

[0, 3, 1, 4, 7, 4, 436, 1, 1, 1, 2, `...`]

 (14)

``

Here are the quotients of the  continued fration  of the sum. 

cfrac(evalf(sum(f(x), x = 1 .. infinity)), 'quotients')

[0, 3, 1, 4, 1, 1, 1, 1, 1, 9, 1, `...`]

 (15)

With the exception of the leading 0, that is close to the integer squence of pi.

``evalf((65241/65251)*Pi)

3.141111191

 (16)

The exponents of 2 that sum the numerator and denominator, in the following way, of that multiple of pi give rise to the integer sequences {0,1,2,3,8,16},numbers such that floor[a(n)^2 / 7] is a square, and {0,2,3,4,8,16},{0,3} union powers of 2.

evalf((2^16-2^8-2^5-2^2-2-2^0)*Pi/(2^16-2^8-2^4-2^3-2^2-2^0))

3.141111191

 (17)

We can do the same thing for the first 20 quotients giving rise to the integer sequences {0,1,2,5,6,8,10,13,17,19,22,23,24,28,31} and {0,4,6,9,12, 14,15,16,18,22, 23,24,28,31}. What can be said of these sequences?

cfrac(evalf(sum(f(x), x = 1 .. infinity), 20), 20, 'quotients')``

[0, 3, 1, 4, 1, 1, 1, 1, 1, 9, 1, 3, 1, 2, 1, 1, 1, 5, 1, 3, 11, `...`]

 (18)

evalf((1849023129/1849306543)*Pi, 20)

3.1411111913121115131

 (19)

````

evalf((2^31-2^28-2^24-2^23-2^22-2^19-2^17-2^13-2^10-2^8-2^6-2^5-2^2-2-2^0)*Pi/(2^31-2^28-2^24-2^23-2^22-2^18-2^16-2^15-2^14-2^12-2^9-2^6-2^4-2^0), 20)

3.1411111913121115131

 (20)

``


 

Newton-Raphson Fractal Black Areas Revealed

by: HSybesma 20
April 04 2012
4  3

NewtonBlackArea.mw

I have been working with Newton-Raphson fractals for some time.  Like others it was necessary to deal with the "black areas" many times, so I performed some additional analysis and present some of these results here.  This will allow others to stop coloring these areas black and allow visualization of the structure inside these areas.  It will also help demonstrate...

Trial ZNO in Maple 16

by: Valery Cyboulko 160 Maple 16
April 02 2012
3  2

2012.zip

Ukraine. External independent evaluation (ZNO) in 2012. Trial in Maple 16. 

html 3-interactive in Ukrainian: zno.zip

Mechanics of Materials Toolbox for Maple

by: S.Arlou 117 Maple
February 24 2012
2  1

Mechanics of Materials Toolbox Screencasts:

http://youtu.be/czz_uw0918E

EGE-2012 Navigator

by: Valery Cyboulko 160 Maple
February 08 2012
1  0

prototypes.zip

HTML-Navigator of the tasks' prototypes  of the unified state examination in Russia 2012.
Supplied with the links to the Maple-solutions of 2011.

Online: http://webmath.exponenta.ru/beg/index.html

ZNO 2012

by: Valery Cyboulko 160 Maple
January 27 2012
1  0

Ukaine-2012. External independent evaluation. A trial version in Maple, by Maple.
HTML, Java-Interactive:
http://webmath.exponenta.ru/zno_11/ranok/z.html
Maple:2012_ranok_ru_bez.mw

Humor. The cost of web-maths

by: Valery Cyboulko 160 Maple
January 23 2012
1  2

The cost of some mathematical sites (estimated bizinformation.org):
 8.000.000 $ - wolfram.com
   372.456 $ - webmath.exponenta.ru (Russian Maple in education)
   292.301 $ - maplesoft.com

    82.342 $ - exponenta.ru
    61.278 $ - webmath.ru
    54.895 $ - math.ege
    43.302 $ - univ.kiev.ua (Kiev National University)

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