Winter 2024 CAAM 31460-1

Course: STAT 31460=CAAM 31460

Title: Applied Fourier Analysis

Instructor(s): Eric Baer

Teaching Assistant(s): TBA

Class Schedule: TR 9:30 AM-10:50 AM in Jones 303

Description: Decompositions of functions into frequency components via the Fourier transform, and related sparse representations, are fundamental tools in applied mathematics. These ideas have been important in applications to signal processing, imaging, and the quantitative and qualitative analysis of a broad range of mathematical models of data (including modern approaches to machine learning) and physical systems. Topics to be covered in this course include an overview of classical ideas related to Fourier series and the Fourier transform, wavelet representations of functions and the framework of multiresolution analysis, and applications throughout computational and applied mathematics.