1st year, 1st semester, a course taught by Ilias Petre
This course gave us a fast paced overview of Calculus. We covered:
- metric spaces, number sequences, convergence, divergence
- series of numbers, convergence, divergence
- topological spaces
- continuous functions
- sequences and series of functions
- linear spaces, derivable functions
- Taylor's series
- differentiable functions, local and absolute extrema
- Riemann integrable functions, improper integrals, functions Gamma and Beta
- Jordan measure, line integrals