Построение интерактивной обучающей модели метода решения нормальной однородной системы дифференциальных уравнений n-го порядка - page 10

К.В. Титов, М.В. Будилович, И.В. Дубограй
10
Construction of an interactive teaching model of the method
for solving the normal homogeneous system of
differential equations of
n
-th order
© K.V. Titov, M.V. Budilovich, I.V. Dubogray
Bauman Moscow State Technical University, Moscow, 105005, Russia
The article is devoted to development of computer technologies in education. It is im-
portant to transfer the known methods of tasks decisions into the form which is conven-
ient for educational programs writing in one of the computer mathematic system, for ex-
ample, MathCAD or Maple. In this case, such formulation of the learning process can be
considered as one submitted to the ultimate goal which is getting the entire spectrum of
knowledge from theory to practical result. The available electronic resource on this sub-
ject and the reference
on it allow to get multivariable solutions
in the interactive computing and, in this sense, it makes the article mobile and original in
the part of information and telecommunication technologies using in the internet-space.
The task solution is accompanied by a graphic illustration, a possibility to animate is
available. It is possible to modify the input data in the interactive mode and thus to get
solutions again what allows to develop an experimental research.
Keywords:
differential equations, computer technologies, Internet, systems of computer
mathematics, education
.
REFERENCES
[1]
Piskunov N.S.
Differentsialnoe i integralnoe ischisleniya
[Differential and
integral calculus]. Vol. 2. Moscow, Nauka Publ., 1985, pp. 560.
[2]
Edwards Ch.H., Penny D. E.
Differentsialnye uravneniya i problema sobstvennykh
znacheniy: modelirovanie I vychislenie s pomoschyu Mathematica, Maple и
MATLAB
[Differential equations and Boundary Value Problems: Computing and
Modeling]. 3
rd
ed. Moscow, Piter Publ., 2007, pp. 380 [in Russian].
[3]
Titov K.V.
Vestnik MGTU im. N.E. Baumana. Seriya Estestvennye nauki —
Herald of the Bauman Moscow State Technical University. Series: Natural
sciences
, 2011, special issue «Mathematical Modeling», pp. 110–113.
[4]
Diakonov V.P.
Maple 6.
St. Petersburg, Piter Publ., 2001, 608 p.
[5]
[6]
Klima R., Sigmon N., Stitzinger E.
Applications of Abstract Algebra with Maple.
CRC Press, 2000, 350 p.
[7]
Abell M., Braselton J.
Maple V by Example
. 2nd ed. Academic Press, 1998.
320 p.
[8]
Abell M., Braselton J.
Instructors Resource Manual for Modern Differential
Equations: Theory, Applications, Technology
. Saunders College Publishing,
1996, 210 p.
[9]
Yang W.Y., Cao W., Chung T.-S., Morris J.
Applied numerical methods using
Matlab.
John Wiley and Sons, Inc., Hoboken, New Jersey, 2005, 290 p.
Titov K.V.
(b. 1946) graduated Bauman Moscow Higher Technical School in 1969.
Ph.D., assoc. professor of the Computational Mathematics and Mathematical Physics De-
partment of Bauman Moscow State Technical University. He is the author of more than
65 scientific works and methodical manuals in the field of automated control and man-
agement theory and computational mathematics.
e-mail:
1,2,3,4,5,6,7,8,9 11
Powered by FlippingBook