The previous section defined curves based on parametric equations. In this section we'll employ the techniques of calculus to study these curves. We are still interested in lines tangent to points on ...

A \textbf {curve} is a graph along with the parametric equations that define it. \index {curve!parametrically defined}\index {parametric equations!definition} } This is a formal definition of the word ...

Introduction to the Riemann integral and approximations. Antiderivatives and the fundamental theorem of calculus. Change of variables, methods of integration. Applications of the integral. Improper ...