课程简介
This course introduces students to vector calculus and its applications in mathematics, physics,
and engineering. Topics include vector-valued functions, partial derivatives, multiple integrals,
and coordinate transformations. Students will study vector fields and key differential operators
such as gradient, divergence, and curl. The course also covers line integrals, surface integrals,
and the fundamental theorems of vector calculus, including Green’s Theorem, Stokes’ Theorem,
and the Divergence Theorem. Emphasis is placed on both conceptual understanding and
analytical problem-solving.
