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Background to this course. In the Chapters on Partial Differential Equations we have once again taken material from a wide range of sources. Khan Academy is a c 3 nonprofit organization. A com- A regular conference devoted to the theory and applications of the finite element method, and related areas of numerical analysis and partial differential equations. A resistor is any circuit component such as a light bulb that resists the ow of electric charge. Introduction The application of the theory of local transformation groups to the study of partial differential equations has its origins in the original investigations of Sophus Lie.