Understanding Differential Equations Using Mathematica and Interactive Demonstrations

Abstract

The solution of differential equations using the software package Mathematica is discussed in this paper. We focus on two functions, DSolve and NDSolve, and give various examples of how one can obtain symbolic or numerical results using these functions. An overview of the Wolfram Demonstrations Project is given, along with various novel user-contributed examples in the field of differential equations. The use of these Demonstrations in a classroom setting is elaborated upon to emphasize their significance for education.

Optimalisasi Performa Mahasiswa Melalui Penggunaan Bahan Ajar Komputasi Matematika Berbantuan Software Mathematica

“…Mengenai hal ini Rejeki dan Setyaningsih (2016) menyarankan penggunaan Computer Algebraic System (CAS) dalam pembelajaran mata kuliah Persamaan Diferensial. Software Mathematica sebagai salah satu CAS telah digunakan oleh beberapa peneliti dalam pembelajaran yang berkaitan dengan Persamaan Diferensial (Faisal, Karim, & Kamil, 2011;Hothi & Bisht, 2013;Jonassen, 2002;Lázaro, 2015;Mokhasi, Adduci, & Kapadia, 2012) Bahan ajar yang akan digunakan dalam penelitian ini adalah bahan ajar Komputasi Matematika Berbantuan Software Mathemaica yang dibuat oleh (Baist, Firmansyah, & Pamungkas, 2019). Bahan ajar tersebut dibuat untuk membantu mahasiswa dalam mempelajari komputasi matematika secara mandiri.…”

Improving Student Interaction with Chemical Engineering Learning Tools: Screencasts and Simulations

“…Wolfram developed the open-code Demonstrations Project (http://demonstrations.wolfram.com) where interactive simulations can be posted after review by Wolfram. One advantage of these simulations is that they can be prepared with minimal effort because of the built-in functions in Mathematica [14]. Wolfram provides screencasts and workbook tutorials to learn the skills necessary to prepare interactive simulations [15].…”