Electronic Proceedings of the 12th Asian Technology Conference in Mathematics

 

 

Abstract for 12772

Exploring Differential Equations and Vectors (2D/3D), using

Autograph

Authors: Douglas Butler

Affiliations: iCT Training Centre (Oundle School), UK

Keywords: Intermediate, K-12 Level Graduate Level, Differential

Equations, Slope Fields, 1st Order, 2nd Order, Vectors, 2D, 3D

 

Autograph uniquely allows ODEs to be entered implicitly, allowing a

well structured approached to evolve from 1st order to 2nd order,

including hhe idea of ''complimentary function'' and ''particular

integral''. Solution sets can be treated as dynamic objects.

Vectors can likewise be taught from first principles in 2D, leading

to a firm understanding of their use in 3D.