We further extend the notion of integrals to functions of three variables. To compute these new integrals, we will need ways to describe regions in 3D space referred to as solids. To this end, two new coordinate systems for 3D space will be introduced: the cylindrical and spherical coordinate systems.
We also introduce vector fields; functions that assign vectors to points in space. Much of what will be discussed concerning vector fields will make sense in the last unit. Likewise, the concept of the line integral will also be introduced and its importance will be shown in a future lecture.