Parametric Curves in the Plane - Analytic Geometry and Calculus II | Lecture 55

In this lecture we introduce parametric curves in the Euclidean plane. Such curves define a one-dimensional path so that both the x and y components are functions of a single independent variable, termed the parameter. After giving a general description of these curves, we illustrate how to sketch and interpret them with a number of examples.

This course is taught by Jason Bramburger for George Mason University.

Course Topics and Goals: At the end of the semester, students should be able to solve various geometry and physics problems that are modelled with definite integrals, use techniques to evaluate integrals, understand infinite series and power series, and be able to identify and graph conic sections and basic parameter and polar curves.