3 Chapter 3 contents

3 Curves

At the end of this chapter you will have:

$\diamond$ reviewed polar coordinates;

$\diamond$ learned parametric differentiation along curves;

$\diamond$ learned the formula for arclength of a parametric curve;

$\diamond$ calculated the area enclosed by an ellipse;

$\diamond$ derived the complete elliptic integral of the second kind;

$\diamond$ applied Simpson’s rule for numerical integration to the elliptic integral;

$\diamond$ calculated derivatives of functions along curves by chain rule;

$\diamond$ found implicit functions from curves

$\diamond$ differentiated functions implicitly.