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

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.

Differential equations

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.

scholarly journals Experiences in Learning Problem-Solving through Computational Thinking

2018 ◽  
Vol 18 (02) ◽  
pp. e15 ◽  
Author(s):  
Jacqueline M. Fernández ◽  
Mariela E. Zúñiga ◽  
María V. Rosas ◽  
Roberto A. Guerrero
Keyword(s):  
Problem Solving ◽  
Computer Science ◽  
Computational Thinking ◽  
First Year ◽  
Learning Problem ◽  
Introductory Course ◽  
San Luis ◽  
National University ◽  
And Mathematics ◽  
Problem Solving Process

Computational Thinking (CT) represents a possible alternative for improving students’ academic performance in higher level degree related to Science, Technology, Engineering and Mathematics (STEM). This work describes two different experimental proposals with the aim of introducing computational thinking to the problem solving issue. The first one was an introductory course in the Faculty of Physical, Mathematical and Natural Sciences (FCFMyN) in 2017, for students enrolled in computer science related careers. The other experience was a first attempt to introduce CT to students and teachers belonging to not computer related faculties at the National University of San Luis (UNSL). Both initiatives use CT as a mean of improving the problem solving process based on the four following elementary concepts: Decomposition, Abstraction, Recognition of patterns and Algorithm. The results of the experiences indicate the relevance of including CT in the learning problem solving issue in different fields. The experiences also conclude that a mandatory CT related course is necessary for those careers having computational problems solving and/or programming related subjects during the first year of their curricula. Part of this work was presented at the XXIII Argentine Congress of Computer Science (CACIC).

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