The Design and Implementation of Massive Open Online Course (MOOC) for Ordinary Differential Equations (ODE)

Ordinary Differential Equations (ODE) is taken by students in the mathematics, science or engineering programs in Universiti Teknologi MARA (UiTM). This course was originally taught in the traditional way with the lecturer as the instructor. In 2014, this course evolved into the blended-learning mode i.e. a combination of classroom sessions and online sessions using the university learning management system. In 2017, a team of lecturers in the Tapah campus of UiTM decided to develop an instructional design of ODE using the MOOC platform. Students would then use the MOOC during the blended-learning hour. Five modules are offered in this MOOC. Lecture notes are presented using Prezi together with instructional videos and self-checking exercises. 55 students enrolled for the MOOC and were surveyed to gauge the initial impact of the MOOC as an instructional tool. More than 50% of the students said that the MOOC absolutely helped them to better understand the classroom sessions. Most of the students put in maximum effort in accessing the MOOC. The MOOC also helped to build up self-confidence of students in the course material. It is hoped that as the MOOC is further refined and improved, more students will benefit from the MOOC.

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Differential equations

10.12737/1072180 ◽

2020 ◽

Author(s):

Galina Zhukova

Keyword(s):

Quality Control ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Stability Theory ◽

Arbitrary Order ◽

Educational Institutions ◽

Course Material ◽

The Subject ◽

Basic Concepts

The textbook presents the theory of ordinary differential equations constituting the subject of the discipline "Differential equations". Studied topics: differential equations of first, second, arbitrary order; differential equations; integration of initial and boundary value problems; stability theory of solutions of differential equations and systems. Introduced the basic concepts, proven properties of differential equations and systems. The article presents methods of analysis and solutions. We consider the applications of the obtained results, which are illustrated on a large number of specific tasks. For independent quality control mastering the course material suggested test questions on the theory, exercises and tasks. It is recommended that teachers, postgraduates and students of higher educational institutions, studying differential equations and their applications.

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A Problem-Solving Approach to the Introduction to Ordinary Differential Equations for Undergraduate Students at an American Two-year College

Theory and Practice: An Interface or A Great Divide? ◽

10.37626/ga9783959871129.0.37 ◽

2019 ◽

pp. 183-188

Author(s):

John Gordon

Keyword(s):

New York ◽

Problem Solving ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Undergraduate Students ◽

Homogeneous Equation ◽

Introductory Course ◽

Two Year College ◽

Course Material ◽

And Mathematics

Undergraduate students in STEM (Science, Technology, Engineering, and Mathematics) at City University of New York (CUNY)-Queensborough Community College (QCC) working toward a baccalaureate degree at one of CUNY’s senior colleges are required to take an introductory course in ordinary differential equations (ODE). Faculty in the Mathematics Department at QCC are experimenting with a problem-solving approach to this course in which students engage in learning course material through the development of mathematical models of real-world problems. The results seem promising and we outline them in this paper. Key-Words: First-order, linear system, integrating factor, homogeneous equation, research-based.

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Teaching of Ordinary Differential Equations Using the Assumptions of the PBL Method

International Journal of Engineering Pedagogy (iJEP) ◽

10.3991/ijep.v10i3.12015 ◽

2020 ◽

Vol 10 (3) ◽

pp. 7

Author(s):

Leandro Brito Santos ◽

Paulo Henrique Farias Xavier ◽

José Vicente Cardoso Santos ◽

Renelson Ribeiro Sampaio

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Engineering Students ◽

Fundamental Importance ◽

Teaching Methodology ◽

Learning Method ◽

Human Knowledge ◽

Student Behaviors ◽

Engineering Programs ◽

University Center

Mathematics is of fundamental importance to any natural sciences program (be-cause it provides analytical and approximate results that can be simulated and modeled) and perhaps to other areas of human knowledge. Ordinary differential equations are especially of fundamental importance to engineering programs be-cause the modeling of all phenomena of interest for these programs involves Or-dinary differential equations solutions; at the same time, students experience diffi-culties when learning Ordinary differential equations and about their applications to real physical scenarios. In this study, the problem-based learning method was used to study a group of mechanical engineering students at the SENAI CIMATEC University Center. The study analyzes the effectiveness of Ordinary differential equations instruction given through this program using the specified methodology. To consolidate the study, Conceptual Field Theory is used together with an evaluation of the results to observe student behaviors and attitudes in re-lation to actions arising from the method. At the end of the study, a questionnaire was completed by the students, with which they evaluated the effectiveness of the teaching methodology employed.

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