HELM-Workbook19-Differential_Equations

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HELM. Workbook 19:  Differential Equations.  74 pp. From site http://helm.lboro.ac.uk/

Over 50 workbooks are freely available for download a the site.  This workbook Workbook 19:  Differential equations is a nice mix of examples worked out concerning skills and models. The models are relevant to engineering. They are from first and second order ordinary differential equations and include basic electrical circuit models, dissolving pills, mechanical oscillations, beam analysis, and Newton’s Law of Cooling.

The HELM learning resources are a novel, major attempt to ensure that the Engineering Council's mathematics requirements continue to be met at a time when many undergraduates entering university to study engineering lack the basic skills and aptitude which could be relied upon in the past. 

The project team consisted of staff at Loughborough and four consortium partners: Hull, Reading, Sunderland and Manchester. The aim is to enhance and extend Loughborough's successful Mathematics Open Learning materials, in particular by incorporating engineering exercises and case studies closely related to the mathematics presented. 

These resources consists of Workbooks, CAL segments and an Assessment Regime (detailed below). They enhance and extend Loughborough's successful Mathematics Open Learning materials, in particular by incorporating engineering exercises and case studies closely related to the mathematics presented. Nothing on this scale has been available before for free dissemination across the HE sector. The emphasis is on flexibility - the work can be undertaken as private study, distance learning or can be teacher-led, or a combination, according to the learning style of the student and the approach of the particular lecturer. 

Keywords: circuit models, dissolving pills, mechanical oscillations, beam analysis, Newton’s Law of Cooling

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Researchers should cite this work as follows:

  • Brian Winkel (2017), "HELM-Workbook19-Differential_Equations," https://simiode.org/resources/3797.

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