## Math 273B: Calculus of Variations## LinksMS 5147, Mon Wed Fri 3-3:50pm Prerequisits: linear algebra, basic functional analysis, basic optimization Online forum for Q&As, homework discussions, and projects
## Textbooks*Optimization by Vector Space Methods*, Luenberger, 1969.*Convex Analysis and Variational Problems*, Ekeland and Temam, SIAM, 1999. (UC campuses have online access.)
## Workload50% about four homework sets, latex required, 500 points in total 40% reading projects, 400 points 10% classroom and piazza participation (ask and answer questions, share resources), 100 points total: 100% and 1000 points
## Homework / exam policyNo extension will be granted. Late submission will not be accepted. No exceptions. ## Topics (tentative):Vector space (finite and infinite dimensions) Optimization in vector space, local/global minima, first variation, second variation, optimality conditions Calculus of variations, Euler-Lagrange equation, Hamiltonian If time permits, optimal control and Hamilton-Jacobi-Bellman equation
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