Mathematical intuition behind Multivariable Calculus

In this course Multivariable Calculus is explained by focusing on understanding the key concepts rather than learning the formulas and/or exercises by rote. The process of reasoning by using mathematics is the primary objective of the course, and not simply being able to do computations. Besides, interesting proofs will be given, such as the Gauss and Stokes theorems proofs.

The prior knowledge requirement is Single variable Calculus (even without a great mastery of it).