Course Introduction
《Vector Calculus》 

The main goal of the course Vector Calculus is to explore the mathematical operations which one encounters in carrying out concrete calculations in multivariable Calculus, as well as the fundamental concepts of vector analysis. Indeed, the scope of the course is to let students become familiar with the ideas of taking integrals of scalar  valued (or vector – valued) functions over curves or surfaces, as well as the applications of the theorems of Green, Stokes and Gauss. In addition, the course will also introduce students to the basic geometric concepts of curves and surfaces in either Euclidean spaces of dimension 2 or 3. The prerequisites of this course are Calculus and linear algebra.
