Successful pedagogical applications of symbolic computation
نویسندگان
چکیده
منابع مشابه
Symbolic computation of the Duggal transform
Following the results of cite{Med}, regarding the Aluthge transform of polynomial matrices, the symbolic computation of the Duggal transform of a polynomial matrix $A$ is developed in this paper, using the polar decomposition and the singular value decomposition of $A$. Thereat, the polynomial singular value decomposition method is utilized, which is an iterative algorithm with numerical charac...
متن کاملAPPLICATION OF EXP-FUNCTION METHOD TO THE (2+1)-DIMENSIONAL CALOGERO BOGOYAVLANSKII SCHIFF EQUATION
In this paper, the Exp-function method, with the aid of a symbolic computation system such as Maple, is applied to the (2+1) -dimensional Calogero Bogoyavlanskii Schiff equation. Exact and explicit generalized solitary solutions are obtained in more general forms. The free parameters can be determined by initial or boundary conditions. The method is straightforward and concise, and its applicat...
متن کاملScientific computation and functional programming
We advocate the usage of modern functional programming languages, and lazy functional techniques for the description and implementation of abstract mathematical objects in Quantum Mechanics, needed both for pedagogical purposes, and for some real, not too computationally intensive, but conceptually and algorithmically difficult applications. We show how to perform simple abstract computations o...
متن کاملStudents encountering obstacles using a CAS
The paper describes a pilot study on the use of computer algebra at upper secondary level. A symbolic calculator was introduced in a pre-examination class studying for advanced pre-university mathematics. With the theoretical framework of Realistic Mathematics Education and Developmental Research as a background, the study focused on the identification of obstacles that students encountered whi...
متن کاملIntroduction to Symbolic Computation: a Maple/MATLAB Course
Virtually every student who chooses to learn how to do computations on a computer ends up taking a course in numerical analysis. Compared to numerical analysis, the field of computer algebra is relatively young and has fewer active researchers. The commercial success of systems like Maple combined with the obvious wider range of applications (again compared to numerical computations) show an en...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999