﻿ Casyopee - Features

What they say:   I used Casyopée to help students solve optimisation problems. It allowed me to present students very open tasks. Students explored and found results that they had to prove afterward. Casyopée also helped students reuse basic strategies for solving.
What they say:   Casyopée is faster and more convenient than a calculator.... We have the geometric and algebraic side of the problem at the same time. It is easier to see how a function "reacts." It's useful and interesting.
What they say:   Casyopée makes it easy to calculate a derivative, to factor, to calculate zeros... and have a graph of the function next to it in the same window. It allows on a geometric problem to be able to establish variables that can then be used to study the problem by way of functions...
What they say:   Casyopee is a powerful application that can prove useful to both students and teachers It allows you to use various exploration and modeling tools, with the purpose of studying or teaching mathematical functions.
What they say:   Casyopee comes with lots of features. One of these features is the help provided for proving a function. There is also a feature for writing HTML reports that include the mathematical functions. Casyopee is guaranteed to improve the mathematical knowledge of its users.
What they say:   Besides the concept of number, the concept of function is the most important one in mathematics
What they say:   The notion of function is present in all scientific disciplines, and also in everyday life. Our experience as a teacher shows every day that it is a problem for many students. Situations with Casyopée can also be used outside of a technological environment and everyone will be able to reflect on her professional practice.

Casyopée works under Windows XP, Vista, Seven, 8, 10, with Linux and on Macintosh with a Windows emulator. It uses the open-source software Maxima for symbolic computation. The installation of Casyopée and of the relevant version of Maxima is easy in a single operation.

#### Facilities available in the algebra tab:

• calculation on expressions or function (e. g.: factorization or expansion of an expression, to differentiate or integrate functions, to solve equations)
• graphic representation of functions considering the domain of definition
• creation of parameters (cursors) which allow to consider family of functions
• numerical or symbolic computation with functions (e. g.: computation of values and limits of function)
• help for proving (a user can apply theorems implemented in Casyopée to prove properties of a function)
• help for writing html based research reports including mathematic formulas created by CasyopÃ©e or with Latex, and graphs and geometric figures.

#### Main facilities in the dynamic geometry tab:

• geometric construction from objects (segments, lines, circles) and free points on these objects or in the plane,
• creation of geometric calculations from symbolic formulas involving measures,
• numerical exploration of variations of these calculations,
• creation of geometric functions using these calculations,
• modelling these geometric functions into algebraic functions in the algebra tab.

Creation date : 26/11/2018 - 08h07
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