University of Michigan - Shanghai Jiao Tong University Joint Institute


Vv 215:  Calculus III 

General information

Credits: No credits are counted towards graduation for those who have completed Vv255 or Vv285
Prerequisites: Vv116
Back ground and Goals: The sequence Vv115-116-215-216 is the standard complete introduction to the concepts
and methods of calculus. It is taken by the majority of students intending to concentrate in mathematics, science,
or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems
rather than theory and proof.
Content: Topics include vector algebra and vector functions; analytic geometry of planes, surfaces, and solids;
functions of several variables and partial differentiation; line, surface, and volume integrals and applications;
vector fields and integration; Green’s Theorem, Stokes’ Theorem, and Gauss’ Theorem.