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.
April 27 2010
I seems that Maple doesn't know anything about the convexity of functions.
It would be nice to have a command to check the convexity of (real) functions in Maple, also Maple should have knowledge on the convexity of known functions: for example: constant function, linear function , abs, sin (convex on a specific region) etc.
To deal with the calculus of convex functions: for example Maple should know such theorems: if f(x) and g(x) are convex functions and g(x) is non-decreasing then g(f(x)) is convex, etc.
I just want to reiterate how dynamic programming problems can be solved in Maple.
Especially dynamic programming models that frequently appears in economic models.
First of all it is important to note that is close to impossible to find an easy to understand
and step-by-step road maps to dynamic programming. Why is that ?! The below Maple
code was basically "discovered" by trial and error and pure stubbornness (caveman 101).
In the field of calculus Maple is very strong , the strongest i have ever seen, but with work with algebra is very week i will say very poor. Equation manipulator works only with equation not with expression . Look how it works on Algebrator 4.2 and you wil see what I mean. Simplify doesn't work corect see example in atachment. If you have step by step solutions on integrals this to implement on algebra is 100 times easy becouse here you know what is the next step.
With expression palette for multivariable calculus in Maple entering multivariable calculations wll be very easy such as double and triple integrals, line and surface integrals. No other program such as Mathematica or Matlab have this, why Maple don't be first who has this option.
Sorry for my english it's not my mother language.
Aleksandar, Skopje, Republic of Macedonia
As a follow-up to the original post, I thought I’d mention a few of the additional new features particular to math education. For more information, visit the What’s New section of the website.
Concept Learning Tools: Maple 13 includes new and improved concept learning tools:
The third edition of Getting Started with Maple was released by John Wiley & Sons in March 2009.
The author team for this edition is:
- Douglas B. Meade (Univ of S. Carolina)
- Mike May, S.J. (St. Louis Univ)
- C-K. Cheung (Boston Univ)
- G.E. Keogh (Boston Univ)
The 13-digit ISBN is 978-0-470-45554-8.
I have recently been working on a problem using fractional calculus and have come across something in Maple's fracdiff command that makes no sense to me.
Consider the function y:=a+b*(x-q)+c*(x-q)^2
z:=subs(x=q,fracdiff(y,x,1)) gives the correct answer of z:=b, z:=subs(x=q,fracdiff(y,x,2)) gives the correct answer of z:=2c, z:=subs(x=q,fracdiff(y,x,3/2)) gives the answer of z:=4*sqrt(q)*c/sqrt(pi)
I'm an autodidact working with calculus and Maple 9.5, I find the Maple Learning Guide more illustrative than comprehensive and the help files too oriented toward users who know more math and/or more Maple than I do. This forum has proved helpful in responding to specific questions, but I'm looking for some books that would provide guidance on the full range of Maple's potential. I'm not looking for a primer, but rather something as comprehensive as the help files that makes fewer assumptions about the reader's knowledge and is written
Let be q(x) some polynomial of degree = 2 in several, n variables x[i],
x to be thought as (row) vector
Can Maple provide the quadratic normalform for q (real resp. complex)?
By this it is meant that q ° f (x) equals one of
Sum( c[i]*x[i], i=1..n)
Sum( c[i]*x[i], i=1..n) + 1
Sum( c[i]*x[i], i=1..n) + x[n+1]
where c[i] in K, K = Reals or Complex (should not matter so much, except
char(K), and square roots have to exist, so Rationals(squareRoots) is fine),
and f: K^n -> K^n is affine ( = bijective and linear + shift vector)?
My calculus book says that y = (x^2 - 2)/(x - sqrt(2)) is discontinuous at 2, but Maple finds a limit of
My calculus text says that a function cannot have an ordinary limit at an endpoint of its domain, but it can have a one-sided limit. So, in the case of f(x) = sqrt(4 - x^2), the text says (a) that it has a left-hand limit at x = 2 and a right-hand limit at x = -2, but it does not have a left-hand limit at x = -2 or a right-hand limit at x = 2 and (b) that it does not have ordinary two-sided limits at either -2 or 2.
So there are six possibilities. Maple gives limit = 0 for all six. Why the discrepancy?
i'm using an existing Maple mws that was created by some unknow version of Maple.
the Maple text is show below, and the old result is the last line (0.28031703)
T := ->(1/8)*sqrt(x^2+225)+(1/3)*sqrt((20-x)^2+625);
dT := D(T);
solve(dT(x) = 0, x);
Sols := %;
Xbest := Sols;
solve(25/(20-x) = 15./x, x);
when i run in with Maple 12 Student Edition, the result I get is
I've this funny problem with maple11. I get an expression as output from a calculus, and I try to simplify it with simplify(%), but simplify don't simplify and give the same expression as result.
On the other hand, If I copy the expression and paste it as argument of simplify it work fine.
Anyone know why this happens?
ps: the expression to simplify (in fact is more simple than a simplification: there are terms equals but with different sign to cancel togheter) is
Any tips on how to solve fixed endpoint problems in the calculus of variations?
Find the extremal for:
int(diff(x(t),t)^2/(t^3),t=1..2) with x(1)=2 and x(2)=17.
The correct answer is x(t) = t^4 + 1.