ECSE 500. Mathematical Foundations of Systems.
Credits: 3
Offered by: Electrical & Computer Engr (Faculty of Engineering)
Terms offered: Fall 2025
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Description
Basic set theories and algebraic structures, linear spaces, linear mappings, topological and metric spaces, separable spaces, continuity, compactness, Lebesque measure on Euclidean spaces, measurability, Banach spaces, Hilbert spaces, linear bounded operators in Banach spaces, dual spaces, adjoint operators, the Orthogonal Projection Theorem, properties of the Fourier series, convergence in probability.
- (3-0-6)
- Restriction: Open only to graduate students within the Faculty of Engineering.