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All Journal Jurnal Arjuna : Publikasi Ilmu Pendidikan, Bahasa dan Matematika Pentagon: Jurnal Matematika dan Ilmu Pengetahuan Alam
Bunga Diviya Kusfa
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Education Health Professions Languange, Linguistic, Communication & Media Mathematics Social Sciences

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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.
Penerapan Metode Trapesium , Metode Simpson 1/3, dan Metode Simpson 3/8 Dalam Integrasi Numerik Menggunakan Software Matlab Bes Hendi Rio Pardede; Bunga Diviya Kusfa; Lauren Teresia Tamba
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.v2i4.268

Abstract

Numerical integration is a method used to calculate the integral of functions that cannot be integrated analytically. Several methods that are often used in numerical integration include that Simpson 1/3 method, Simpson 3/8 method, and the Trapezoidal method. This research aims to apply and compare the accuracy and efficiency of the third method in solving various types of integral functions using computing software. With the help of software such as MATLAB and Python, the precision of the results obtained from each method is analyzed and compared with analytical solutions (if available) or approximate integral value estimates. The results show that the Simpson 3/8 method tends to be more accurate for more complex functions than the Simpson 1/3 and Trapezoid method. However, the Trapezoidal method has advantages in computational speed and algorithm simplicity. This study provides important insights for computing software users in selecting appropriate numerical integration methods based on function complexity and accuracy requirements.
Co-Authors Bes Hendi Rio Pardede Lauren Teresia Tamba Rizky Iqna Fitria Vena Yurinda Saragih