Exploring Students’ Understanding of Ordinary Differential Equations Using Computer Algebraic System (cas)
نویسنده
چکیده
Ordinary differential equations (ODEs) are one of the important topics in engineering mathematics that lead to the understanding of technical concepts among students. This study was conducted to explore the students’ understanding of ODEs when they solve ODE questions using a traditional method as well as a computer algebraic system, particularly Maple. Ten engineering technology students from the robotics and the mechatronics departments were selected as the research participants. Semi-structured interviews, observations, and students’ written scripts were used for gathering the information regarding the use of Maple for solving the given ODE questions. The findings revealed that Maple could assist students in understanding the ODE lesson, especially in getting rid of tedious calculations as well as producing interactive activities while learning mathematics. Generally, students were able to figure out the relationship between mathematical understanding and real-life engineering applications. Some recommendations are made in order to promote the use of Maple among students, particularly in their final-year project.
منابع مشابه
Differential transform method for a a nonlinear system of differential equations arising in HIV infection of CD4+T cell
In this paper, differential transform method (DTM) is described and is applied to solve systems of nonlinear ordinary differential equations which is arising in HIV infections of cell. Intervals of validity of the solution will be extended by using Pade approximation. The results also will be compared with those results obtained by Runge-Kutta method. The technique is described and is illustrat...
متن کاملNUMERICAL SOLUTION OF INTEGRO-DIFFERENTIAL EQUATION BY USING CHEBYSHEV WAVELET OPERATIONAL MATRIX OF INTEGRATION
In this paper, we propose a method to approximate the solution of a linear Fredholm integro-differential equation by using the Chebyshev wavelet of the first kind as basis. For this purpose, we introduce the first Chebyshev operational matrix of integration. Chebyshev wavelet approximating method is then utilized to reduce the integro-differential equation to a system of algebraic equations. Il...
متن کاملThe Sine-Cosine Wavelet and Its Application in the Optimal Control of Nonlinear Systems with Constraint
In this paper, an optimal control of quadratic performance index with nonlinear constrained is presented. The sine-cosine wavelet operational matrix of integration and product matrix are introduced and applied to reduce nonlinear differential equations to the nonlinear algebraic equations. Then, the Newton-Raphson method is used for solving these sets of algebraic equations. To present ability ...
متن کاملRethinking the Teaching of Differential Equations through the Constructivism Paradigm
This paper reports on rethinking the teaching of linear second order ordinary differential equations with constant coefficients by adopting a constructivist approach. In most cases teaching of linear second order ordinary differential equations, as seen in major textbooks, is done in a very procedural manner where the emphasis lies in identifying the type of equation and then apply a number of ...
متن کاملComputer methods for ordinary differential equations and differential-algebraic equations
Spend your few moment to read a book even only few pages. Reading book is not obligation and force for everybody. When you don't want to read, you can get punishment from the publisher. Read a book becomes a choice of your different characteristics. Many people with reading habit will always be enjoyable to read, or on the contrary. For some reasons, this computer methods for ordinary different...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011