
06520303
j
2016d.00746
Tersian, Stepan
Some examples of the research approach in the education of mathematical analysis.
Math. Nat. Sci. 1, 200213 (2015).
2015
SouthWest University ``Neofit Rilsky'', Blagoevgrad
EN
I25
I65
I75
inverse functions
brachistochrone problem
calculus of variations
fractional differential equations
existence results
mathematical experiments
Summary: We present three examples of a research approach in the education of mathematical analysis for undergraduate students. The first example is for the inverse trigonometric and hyperbolic functions and the arithmetic operations. Several identities are presented and derived using Maple. The second example is the brachistochrone problem, cycloids and the origins of calculus of variations. The third example is on fractional differential equations and numerical experiments with Mathematica.