- What are Functions?
- Basic definitions:
*domain, range*, and*derivative*. - Level Sets of Single-Variable Functions
- The geometric relationship between level sets and
*zeros*(or*roots)*of functions. - Level Sets of Multivariable Functions
- The geometry of level sets and an introduction to
*singularities*. - Why are Level Sets Important?
- Example of level sets in our daily lives.
- Level Surfaces
- Implicit surfaces are the level sets of a function of three variables.
- Level Curves in Higher Dimensions
- Implicitly-defined curves in space are just the intersection of surfaces in space.

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Last modified: Sun Nov 26 16:04:38 1995

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