Duration: 24 weeks
Number of lectures per week: 3 including totorials
End-of-year Examination: 3-hour end of year exam
Tensor product; Wedge product; Volume forms; Hodge star operator.
Derivative as a linear operator; Equality of mixed partials; Inverse function theorem; Implicit function theorem.
Differential forms; Poincare lemma and Stokes theorem; Gaussian curvature.