Surface Integrals of Scalar and Vector Fields/Functions

In this video we show how to calculate a surface integral of both scalar and vector functions. A surface integral can be used to compute parameters such as the surface area, total mass, volumetric flow rate, and other quantities. Topics and timestamps: 0:00 – Introduction 1:32 – Surface integral of a scalar function 5:10 – Example: Computing surface area 10:01 – Example: Computing total mass 16:46 – Surface integral of a vector function 20:51 – Example: Computing flux through a surface Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/main/Calculus10 All Calculus videos in a single playlist (https://www.youtube.com/playlist?list=PLxdnSsBqCrrGHwNWnP5XVhytcGL9ExuPE) #Calculus You can support this channel via Patreon at https://www.patreon.com/christopherwlum or by clicking on the ‘Thanks’ button underneath the video. Thank you for your help!