Spring 2023 CAAM 31050

Course: CAAM 31050=STAT 31050

Title: Applied Approximation Theory

Instructor(s): Jeremy Hoskins

Teaching Assistant(s):

Class Schedule: Sec 1: MW 11:00 AM-12:20 PM in TBA

Description: This course covers a range of introductory topics in applied approximation theory, the study of how and when functions can be approximated by linear combinations of other functions. The course will start with classical topics including polynomial and Fourier approximation and convergence, as well as more general theory on bases and approximability. We will also look at algorithms and applications in function compression, interpolation, quadrature, denoising, compressive sensing, finite-element methods, spectral methods, and iterative algorithms.