Graphing Polar Coordinate Equations - Analytic Geometry and Calculus II | Lecture 60

We continue our discussion of polar coordinates by showing how to graph curves defined in terms of radial and angular variables. We particularly focus on radial components parametrized in terms of the angular variable, leading to an extension of the previously discussed parametrized curves. We explain how to exploit symmetries and find slopes of tangents vectors to aid and simplify the curve sketching process. Three major sketching examples are undertaken in full details that demonstrate these ideas.

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.