**Instructor:** Victor Guillemin

**Office:** Room 2-270

**Email:** vwg [at] math . mit .edu

**Lectures:** MWF, 11, Room 2-151

## COURSE DESCRIPTION

The semi-classical theory of partial differential equations. Discussion of Pseudodifferential operators, Fourier integral operators, asymptotic solutions of partial differential equations, and the spectral theory of Schroedinger operators from the semi-classical perspective. Heavy emphasis placed on the symplectic geometric underpinnings of this subject.

**Prerequisites:** 18.155