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Penerapan Python dalam Perhitungan Turunan Fungsi Dua Peubah dan Visualisasi Grafik 3D Vena Yurinda Saragih; Bunga Diviya Kusfa; Rizky Iqna Fitria
Jurnal Arjuna : Publikasi Ilmu Pendidikan, Bahasa dan Matematika Vol. 3 No. 1 (2025): Jurnal Arjuna : Publikasi Ilmu Pendidikan, Bahasa dan Matematika
Publisher : Asosiasi Riset Ilmu Pendidikan Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61132/arjuna.v3i1.1419

Abstract

This study aims to analyze the derivatives of a two-variable function and visualize the results in the form of a 3D graph using Python. Derivatives of two-variable functions are essential in multivariate analysis, such as optimization and surface analysis. The study uses Visual Studio Code as the Integrated Development Environment (IDE) to develop and run Python code, utilizing libraries such as NumPy, SymPy, and Matplotlib for mathematical computations and visualization. The first step involves programming partial derivatives of a two-variable function using SymPy. Subsequently, the derivative results are visualized in 3D using Matplotlib to illustrate the surface and gradient of the function. The goal of this research is to provide a deeper understanding of the application of derivatives in two-variable functions and the benefits of visualization in analyzing these derivative results. The findings are expected to contribute to the fields of mathematics education and numerical computation applications.
Integral Numerik: Teknik Analitik dan Numerik dalam Analisis Gelombang dan Osilasi Erguna Eliandro Junior Tarigan; Alfidorino Flapianus bukit; Rizky Iqna Fitria; Vauline Christin Octavia Siregar
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.v2i4.280

Abstract

Mathematically, in calculating oscillations and waves, it can be used using analytical and numerical techniques. For simple movements, numerical techniques are easier to perform than analytical techniques. Because, apart from the difficulty of using analytical techniques, the calculations carried out are also complex. The actual value of a wave or oscillation can be determined using analytical techniques, while numerical techniques are simply calculations carried out close to the analytical value. The aim of this paper is to analyze analytical and numerical techniques in wave and oscillation analysis. The type of research used in this research is based on qualitative research. The results obtained in determining trigonometric integrals require a calculation that can use analytical and numerical techniques. Numerical techniques are calculations that are almost correct or close to the value. However, to get the actual value correctly, analytical calculations are needed. Analytical calculations are quite difficult to do, but need to be done to serve as a reference. The conclusion drawn is that in trigonometric integrals in wave and oscillation analysis, numerical calculation techniques and analytical techniques can be used. When using numerical techniques, you can use formulas , whereas calculations using analytical techniques can use formulas.