Exponential Growth and Decay - Analytic Geometry and Calculus II | Lecture 22

In the previous lecture we introduced the logarithms and exponential functions. Now we put those functions to use by considering biological, chemical, and physical examples of exponential growth and decay. All of the examples given are governed by the same differential equation, which we can solve explicitly using our knowledge of exponentials and logarithms. Through our examples we see that our simple differential equation can be used to model a variety of processes that we are exposed to in everyday life.

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.