Multivariable Calculus

This generalizes and applies the approaches of calculus of one variable to higher dimensions. Again, there is a multifold approach to this section. Here, we will expand the student’s skillset so they can work on real problems in a four dimensional world (3 space and 1 time- possibly more!). Additionally, we will try to get students comfortable with working in higher dimensionalities. This also plays into the idea of mathematical generalization. When we obtain a striking result, we would like to know the limits of applicability of that result.