Pre-requisites: Continuous Functions., Limits.

Just like before, a scalar valued function of several variables is continuous at a point if and only if

That is if f is the function in question and a is the point Definition: A curve is simply a continuous map from an interval in R to R2 or R3. A curve sigma(t): I -> R3 is graphed by plotting all the points in its image, sigma(I) = { sigma(t): t in I }.

Here are some examples of curves:

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last modified November 7, 1998