This chapter introduces surface integrals and motivates their interpretation in terms of Gauss' Law. A such, his exposition is somewhat narrow. It also fails to provide the machinery for calculating surface integrals easily. We augment this chapter in two ways. One, we connect to the familiar problem of relating integrals about plane closed curves to the area of the region enclosed, and generalizing this to finding the volumes of bodies by integrating over their surfaces.
Two, by introducting the determinant products (wedge products) of differentials we make the mindless calculation of these integrals tractable.
Here are page 1 , page 2 , page 3 , on the lecture on areas Monday, 1feb98.
Wednesday we work on exercises II-1,2, continuing on Friday. The quiz this Friday is on II-1,2. We will continue with Chapter II next week.
G.Francis
