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All Journal Katalis Pendidikan: Jurnal Ilmu Pendidikan dan Matematika Pentagon: Jurnal Matematika dan Ilmu Pengetahuan Alam
Tantory Yahya Purba
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Education Mathematics Other

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Implementasi Metode Eurel untuk Penyelesaian Persamaan Diferensial pada Dinamika Populasi Aprilia Cristina Sianturi; Bali Sahputri Br Tarigan; Tantory Yahya Purba; Valeri Agatha Br Sihombing
Katalis Pendidikan : Jurnal Ilmu Pendidikan dan Matematika Vol. 1 No. 4 (2024): Desember : Katalis Pendidikan : Jurnal Ilmu Pendidikan dan Matematika
Publisher : Lembaga Pengembangan Kinerja Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/katalis.v1i4.854

Abstract

This study aims to solve the population dynamics model using the Euler method, where the model is a nonlinear differential equation. The research methods used are literature study and simulation methods. In theory, the Euler Method is a numerical method that is often used in solving initial value problems. The Euler method is obtained by decomposing a function into a Taylor series up to two initial terms. This method has an accuracy of one.
Visualisasi Interaktif Permukaan dalam Ruang Tiga Dimensi: Analisis Geometris dengan GeoGebra Bali Sahputri Tarigan; Lauren Teresia Tamba; Tantory Yahya Purba
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 2 No. 4 (2024): Desember: Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/pentagon.v2i4.317

Abstract

Surfaces in three-dimensional space can be represented through explicit, parametric and implicit equations, which describe the relationship between the variables x, y and z. Graphs of linear equations produce flat planes, while quadratic equations form objects such as spheres or ellipsoids. In this research, a theoretical approach is combined with interactive visualization to analyze various surface shapes. Through the use of GeoGebra software, this analysis makes it easier to understand surface orientation and shape, such as normal vectors and curvature, as well as applications in vector fields. This research also investigates the concepts of Cartesian coordinates in three-dimensional space, by depicting surfaces in the form of graphs of functions of two variables. It is hoped that the results of this research can provide deeper insight into the geometric properties of surfaces and how to visualize them effectively in mathematics and physics applications.
Co-Authors Aprilia Cristina Sianturi Bali Sahputri Br Tarigan Bali Sahputri Tarigan Lauren Teresia Tamba Valeri Agatha Br Sihombing