Zengin, Esra EmineMete, Pınar2021-11-032021-11-032019-02-01https://doi.org/10.31801/cfsuasmas.501449http://hdl.handle.net/20.500.12575/75859In this article, even if it is known for general case in <cite>sharifan-nahandi</cite>, we give the explicit minimal free resolution of the associated graded ring of certain affine monomial curves in affine 4-space based on the standard basis theory. As a result, we give the minimal graded free resolution and the Hilbert function of the tangent cone of these families in A⁴ in the simple form according to <cite>sharifan-nahandi</cite>.enMinimal free resolutionCohen-MacaulaynessMonomial curveArticle681101910292618-6470