Course description
This course develops the theory of convex sets, normed infinite-dimensional vector spaces, and convex functionals and applies it as a unifying principle to a variety of optimization problems such as resource allocation, production planning, and optimal control. Topics include Hilbert space, dual spaces, the Hahn-Banach theorem, the Riesz representation theorem, calculus of variations, and Fenchel duality. Students are expected to understand and invent proofs of theorems in real and functional analysis.
Instructors
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Online
Price
Free*
Duration
9 weeks long
Registration Deadline
Available now
Online
Price
Free*
Duration
10 weeks long
Registration Deadline
Available now