should learn the computational techniques of Vector (Multivariable) Calculus
and their geometric meanings. This
interplay between computations and geometry is extremely important and will
be emphasized throughout the course.
should learn how to use these computational techniques to solve applied
problems (often guided by geometric insight).
should develop an understanding of the theory of Vector Calculus.
The more you understand this theoretical structure, the clearer the
overall picture of Vector Calculus will be.