MATH 251A
Introductory Partial Differential Equations
Mathematics · 4 units · Graduate courses (200-299)
Classical theory of heat, wave, and potential equations; fundamental solutions, characteristics and Huygens principle, properties of harmonic functions. Classification of second-order differential operators. Maximum principles, energy methods, uniqueness theorems. Additional topics as time permits.
Requisites
UCLA lists no requisites for this course.
Requires
Everything that has to come before this course, not just the courses named in the requisite above.
Nothing — this is an entry point.
Unlocks
What this course is a requisite for, and what those courses lead to in turn.
MATH 251A
- MATH 233Partial Differential Equations on Manifolds
1 course lists this as a requisite. The whole downstream is here — 1 course over 1 level. Every course here opens its own tree.