Requirements/prerequisites:

Duration: 24 weeks

Number of lectures per week: 3 including totorials

Assessment:

End-of-year Examination: 3-hour end of year exam

Description:

• Multilinear algebra

  Tensor product; Wedge product; Volume forms; Hodge star operator.

• Multivariable calculus

  Derivative as a linear operator; Equality of mixed partials; Inverse function theorem; Implicit function theorem.

• Introduction to manifolds

  Differential forms; Poincare lemma and Stokes theorem; Gaussian curvature.