Mathematical preliminaries

Here we basically cover slides 4.

  • Taylor's theorem

For animations please see

  • Big O and little o notation

  • Convergence rates

Vector calculus I

Here we introduce you to some basic operators, which cover the start of slides 7

  • Nabla operator
  • Laplacian operator
  • Advection example

Vector calculus II

  • Laplace equation
  • Poisson equation
  • Advection equation