MATH M268BTopics in Functional Analysis for Applied Mathematics and Engineering
Mathematics · 4 units · Graduate courses (200-299)
(Same as Electrical and Computer Engineering M208C.) Semigroups of linear operators over Hilbert spaces; generator and resolvent, generation theorems, Laplace inversion formula. Dissipative operators and contraction semigroups. Analytic semigroups and spectral representation. Semigroups with compact resolvents. Parabolic and hyperbolic systems. Controllability and stabilizability. Spectral theory of differential operators, PDEs, generalized functions.
S/U or letter grading.
When it runs
Not on the schedule for any of Fall 2025 through Spring 2027. UCLA publishes only that window, so this does not mean the course is gone — check the official listing.
Requisites
Official UCLA wording
Requisite: course M268A.
BruinTree reads · Prerequisite
confidence 1.00 · from textRequires
Everything that has to come before this course, not just the courses named in the requisite above.
MATH M268B
- MATH M268AFunctional Analysis for Applied Mathematics and Engineering
- MATH 115ALinear Algebra
- MATH 115BLinear Algebra
- EC ENGR 131AProbability and Statistics
1 direct requisite. Showing 8 courses over 3 levels; the branches marked with a count carry on past it. Every course here opens its own tree.
Unlocks
What this course is a requisite for, and what those courses lead to in turn.
No course in the catalog lists this as a requisite.