In this video I go over the basics of level sets, which provide an alternative visual representation of functions through level curves and level surfaces. We look at a few examples of level curves and note the similarity between level curves and cross sections of a graph.

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You can check out my multivariable calculus textbook here:

http://www.amazon.com/gp/product/1518... (paper)

https://leanpub.com/multivariablecalc... (free pdf)