Operations on Power Series - Analytic Geometry and Calculus II | Lecture 51

We continue our discussion of power series by now exploring how to perform various operations using them. This includes multiplying two series, differentiating power series, and integrating them. These properties can be used as shortcuts to finding power series of more complicated functions using known power series and to evaluate infinite series. We demonstrate this with a number of illustrative examples throughout the lecture.

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.