Elementary mathematics, for instance, algebraic equations is an important field of study in higher education. In particular, graphical representations of curves of equations make the understanding of mathematical problem easy for students. Therefore, we have developed a web-based education system with a graphics database for elementary mathematics, particularly, algebraic equations. In this paper, the analytical properties of quadratic and cubic algebraic equations are discussed on the basis of the Sturm concept because of its educational value and usefulness in analyzing and designing a real system. Some graphical representations utilized for the web-based education system of algebraic equations are shown. An intranet e-learning system constructed in our laboratory on a Linux web-server (Apache HTTP server) is presented.
[1]
Y. Okuyama,et al.
A DISCRIMINATION METHOD OF ROOTS AREA FOR POLYTOPIC POLYNOMIALS
,
2002
.
[2]
V. Kharitonov.
Asympotic stability of an equilibrium position of a family of systems of linear differntial equations
,
1978
.
[3]
Yoshifumi Okuyama,et al.
Robust performance evaluation for interval systems based on characteristic roots area
,
2001,
Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).
[4]
Leonard Eugene Dickson,et al.
Elementary Theory of Equations
,
2008
.
[5]
ASYMPTOTIC STABILITY OF AN EQUILIBRIUM P . OSITION OF A FAMILY OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS
,
2022
.
[6]
B. E. Meserve.
Fundamental Concepts of Algebra
,
1982
.