Spring 2016: MATH 275
Basic Theory of Partial Differential Equations
: TR, 10:30am-11:50am in Eckhart
Instructor Office Hours
: M 2:30-3:30pm, T 4-5pm
: Seung uk Jang
College Fellow Office Hours
: TW 7-8pm in Eckhart 28B
: Wed 6-7pm, Eckhart 308
: Partial Differential Equations: An Introduction to Theory and Applications
, Michael Shearer and Rachel Levy.
Notes on ODE Theory
Lecture 4: Harmonic Regularity and Liouville's Theorem
and Green's Functions and Distributions
Poisson Kernel of the unit ball and Energy Methods
also a supplement on the Poisson Formula for the half space.
: Heat equation in bounded domains, maximum principle.
: Heat equation uniqueness in unbounded domain.
: Wave equation, D'Alembert's formula, finite speed of propagation, Dirichlet boundary conditions.
: Wave equation in 2 and 3 dimensions, Huygen's Principle.
and Lecture 12
: Method of characteristics.
: Scalar conservation laws.
: Travelling wave solutions of PDE.
: Intro to Hamilton-Jacobi Equations.
: Intro to Hamilton-Jacobi Equations (all lectures).
: Homeworks will be posted here on Thursdays and due the next Thursday in class.
: There will be one in-class midterm and a final exam. The midterm exam will be on Tuesday, April 26. The final exam will be on Tuesday, June 7, 10:30AM-12:30PM.
: homework 30%, hour exams 40%, final exam 30%.