Introductions and preliminaries (course structure; problem sets; hand-ins)
Why are you here and why should you take this course?
A mathematical model of transport
A review of multivariable calculus (Chap. 2)
We derived the transport equation; we reviewed the visualisation of scalar and vector-valued functions.
Lecture 2 (6 Feb 2020)
A look at Ian Stewart's 17 equations that changed the world
Continued review of multivariable calculus (Chap. 2)
Line integrals (Chap. 3)
We reviewed key notions of Riemann integration (the idea of adding up infinitesimal elements), then started investigating the notion of a scalar line integral.