Normal vectors

Unit tangent and unit normal vectors

We introduce two important unit vectors.

Planes in space

We discuss how to find implicit and explicit formulas for planes.

Functions of several variables

Functions of several variables

Functions of several variables

We introduce functions that take vectors or points as inputs and output a number.

Level sets

We introduce level sets.

Continuity of functions of several variables

Open and Closed Sets

We generalize the notion of open and closed intervals to open and closed sets in .

Limits

We investigate limits of functions of several variables.

Continuity

We investigate what continuity means for functions of several variables.

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