id: 06520303
dt: j
an: 2016d.00746
au: Tersian, Stepan
ti: Some examples of the research approach in the education of mathematical
analysis.
so: Math. Nat. Sci. 1, 200-213 (2015).
py: 2015
pu: South-West University “Neofit Rilsky”, Blagoevgrad
la: EN
cc: I25 I65 I75
ut: inverse functions; brachistochrone problem; calculus of variations;
fractional differential equations; existence results; mathematical
experiments
ci:
li:
ab: 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.
rv: