Journal article
Pedagogy of Second Order Homogeneous Differential Equations: A Holistic Approach Using a Matlab Workbook
Computer applications in engineering education, v 24(1), pp 114-121
01 Jan 2016
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
A Matlab workbook is developed to facilitate a better understanding of the multiple approaches available to solve homogeneous second order differential equations with constant coefficients. With minimal input consisting of the coefficients and initial conditions, the workbook displays all aspects of the differential equation such the phase plane plot, state of the equilibrium, solutions based on roots of the characteristic equation, Laplace transforms and Runge-Kutta methods. The workbook format is such that it displays results as if the instructor is solving the differential equation on a blackboard with definitions, explanations, solution of unknown constants and comparison of solutions from multiple approaches. Several examples are provided which demonstrate the potential of the workbook in enhancing the pedagogy by letting instructors and students observe all aspects, thereby providing a holistic approach. The workbook (with examples and the Matlab script as a. p file) is available to all from the author's university website. (C) 2015 Wiley Periodicals, Inc.
Metrics
Details
- Title
- Pedagogy of Second Order Homogeneous Differential Equations: A Holistic Approach Using a Matlab Workbook
- Creators
- P. M. Shankar - Drexel University
- Publication Details
- Computer applications in engineering education, v 24(1), pp 114-121
- Publisher
- Wiley
- Number of pages
- 8
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Electrical and Computer Engineering
- Web of Science ID
- WOS:000372277100011
- Scopus ID
- 2-s2.0-84955186030
- Other Identifier
- 991019184055204721
UN Sustainable Development Goals (SDGs)
This publication has contributed to the advancement of the following goals:
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Computer Science, Interdisciplinary Applications
- Education, Scientific Disciplines
- Engineering, Multidisciplinary