Undergraduate Teaching Assistant
Undergraduate course, Imperial College London, Department of Mathematics, 2022
I was a teaching assistant in the first-year course in analysis. I had the responsibility of conducting demonstrations and coordinating problem-solving sessions.
Indicative syllabus
- Real Numbers: The archimedean property, and density of Q in R; The completeness axiom; Sup and Inf, and basic properties; Decimal Expansions; Countability and uncountability.
- Real and complex sequences: Convergence and Divergence; the sandwich test; Sub-sequences, monotonic sequences, [limsup and liminf,] Bolzano-Weierstrass Theorem, Cauchy sequences and the general principle of convergence.
- Real and complex series: Convergent and absolutely convergent series; Comparison test for non-negative series and for absolutely convergent series; Alternating test series; Rearranging absolutely convergent series Radius of convergence of power series; Exponential series.