Handout Four: Differential Calculus on Surfaces


We have just finished our study of plane and space curves, or, if you like, of vectorvalued functions of a scalar variable. The next unit of the course focuses on the differential calculus of surfaces in three-dimensional space: these include the case of scalar-valued functions of a vector variable, i.e., z = f(x, y). It turns out that that surfaces in R are most analogous to curves in the plane (and not to curves in

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@inproceedings{Clark2004HandoutFD, title={Handout Four: Differential Calculus on Surfaces}, author={Pete L. Clark}, year={2004} }