Multivariable Calculus

The course provides an essential and solid background for
understanding fundamental processes
and phenomena in biology, chemistry, physics, and engineering. It extends the main topics of differential and integral calculus
for real-valued functions
of one real variable to the case of vector-valued functions of
one real variable; real-valued functions of several variables; and vector fields. Specific topics include vectors in the
plane and space; parametrized curves
and surfaces; partial derivatives and gradients; constrained and unconstrained optimization; integration over regions in
the plane and space; integration over curves and surfaces; Green’s Theorem, Stokes Theorem, and Divergence Theorem.