Course Schedule and Catalog
Course Catalog - 2022-2023
CAAM 545 - MICROLOCAL & HARMONIC ANALYSIS
Long Title: APPLIED AND COMPUTATIONAL MICROLOCAL AND HARMONIC ANALYSIS
Department: Comp Appl Math Operations Rsch
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): CAAM 423 AND CAAM 502
Description: Introduction to microlocal and harmonic analysis. Oscillatory integrals, Wavefront set, Pseudodifferential and Fourier Integral Operators and their calculus, and basic symplectic geometry. Egorov’s theorem and propagation of singularities. Wavepackets, matrix classes and discretization; USFFT and fast curvelet transform. Parametrix construction for wave equations and applications in imaging. Recommended Prerequisite(s): MATH 302, (CAAM 334 or CAAM 335), MATH 401, CAAM 453