Dimensional analysis, modelling, and invariance. Lie groups of transformations, infinitesimal transformations. Applications to ordinary and partial differential equations. No knowledge of group theory will be assumed. Recommended pre-requisite: elementary courses in differential equations and linear algebra. This course is not eligible for Credit/D/Fail grading.
Dimensional analysis, modelling, and invariance. Lie groups of transformations, infinitesimal transformations. Applications to ordinary and partial differential equations. No knowledge of group theory will be assumed. Recommended pre-requisite: elementary courses in differential equations and linear algebra. This course is not eligible for Credit/D/Fail grading.