Differential Forms - The Exterior Derivative and Vector Calculus

This course on Differential Forms aims to teach the operators from classical vector calculus using the exterior derivative, the Hodge operator, and differential forms. The learning outcomes include understanding the concepts of curl of a vector field, anticommutativity, and their applications. The course teaches skills in applying differential forms to classical vector calculus problems. The teaching method involves theoretical explanations and practical examples. The intended audience for this course includes students and professionals interested in advanced mathematical concepts and applications in vector calculus.