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Rethinking pedagogy for second-order differential equations: a simplified approach to understanding well-posed problems.
- Source :
-
International Journal of Mathematical Education in Science & Technology . Jul2017, Vol. 48 Issue 5, p794-801. 8p. - Publication Year :
- 2017
-
Abstract
- Knowing an equation has a unique solution is important from both a modelling and theoretical point of view. For over 70 years, the approach to learning and teaching ‘well posedness’ of initial value problems (IVPs) for second- and higher-order ordinary differential equations has involved transforming the problem and its analysis to a first-order system of equations. We show that this excursion is unnecessary and present a direct approach regarding second- and higher-order problems that does not require an understanding of systems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0020739X
- Volume :
- 48
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematical Education in Science & Technology
- Publication Type :
- Academic Journal
- Accession number :
- 122641280
- Full Text :
- https://doi.org/10.1080/0020739X.2017.1285062