For this course, you will bring your understanding of linear algebra and real analysis. This course introduces you to different notions of differentiability and integrability for functions of several variables, and the geometric interpretation of these concepts. It also explores some deep and ubiquitous results like the Inverse Function Theorem, and the theorems of Green, Gauss and Stokes.
This is essential for further study in a large number of areas in maths, like differential equations and mathematical modelling, differential geometry, and statistics. The course is also important for students who are considering postgraduate studies in physics or economics.