I would not cover math-related topics in my courses (for graduate students). In case you are not familiar with the mathematical concepts and tools, please refer to the supplementary lecture note, which currently covers the following topics in detail:

  • Basic set theory
  • Real number system
  • Metric spaces
  • Vector spaces
  • Numerical sequences and series
  • Real functions and correspondences
  • Convex analysis in R
  • Differentiation
  • Riemann-Stieltjes integral
  • Sequence and series of real functions
  • Some special functions and inequalities
  • Topological space
  • Connected and compact spaces
  • Metric topology and function space