Interactive MATLAB GUI for exploring extreme values in bivariate functions

Authors

  • M. Y. Tufail NED University of Engineering & Technology
  • S. Gul NED University of Engineering & Technology
  • S. A. A Hashmi NED University of Engineering & Technology

DOI:

https://doi.org/10.31349/RevMexFisE.23.010212

Keywords:

GUI; teaching mathematics and physics; extreme values; bivariate functions

Abstract

This paper presents the development of a graphical user interface (GUI) in MatLab designed to assist in the
identification and classification of extreme values and saddle points of functions of two variables. Aimed at
supporting mathematics and Physics education for university students and instructors, the tool integrates
symbolic differentiation and the second derivative test to provide an interactive learning experience.
Through three representative examples, the GUI demonstrates its ability to detect multiple critical points and
visually convey their nature, enhancing conceptual understanding. While the method is effective in most cases,
it is limited when the discriminant D equals zero, rendering the second derivative test inconclusive.
Furthermore, the current implementation supports only two-variable functions; adapting it to higher dimensions
would require further development. Overall, the GUI serves as a valuable educational aid for teaching and
learning multivariable calculus concepts.

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Published

2026-01-01

How to Cite

[1]
M. Y. Tufail, S. GUL, and S. A. A. Hashmi, “Interactive MATLAB GUI for exploring extreme values in bivariate functions”, Rev. Mex. Fis. E, vol. 23, no. 1, pp. 010212 1–, Jan. 2026.

Issue

Vol. 23 No. 1 (2026): Revista Mexicana de Física E

Section

02 Education in Physics

License

Copyright (c) 2026 M. Y. Tufail, S. Gul, S. A. A Hashmi

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