This undergraduate course introduces key concepts in real and complex analysis, focusing on the behavior of sequences and series. Topics include convergence of numerical series, sequences and series of functions, power series, and Fourier series, as well as improper integrals and functions defined by integrals. The course emphasizes understanding different modes of convergence, their impact on function properties, and the use of series in representing and analyzing functions. Rigorous reasoning, precise definitions, and proof-based approaches are central throughout.
- Enseignant: TOUHAMI MAMOUNI