Division III; Quantative/Formal Reasoning;
This is not the current course catalog
Harmonic Analysis is a diverse field which includes Fourier Analysis, one of the major tools of modern mathematics. Applications range from mathematical topics such as partial differential equations and number theory to more applied ones such as signal processing and medical imaging. The course will begin with an introduction to the Fourier Transform and will cover a wide variety of topics including singular integral operators, maximal operators and wavelets as the semester progresses. Along the way applications from partial differential equations and ergodic theory will arise with a highlight being the almost everywhere convergence of Fourier series.
The Class: Type: lecture
Requirements/Evaluation: evaluation will be based primarily on exams, homework, quizzes and a project
Prerequisites: MATH 350 or MATH 351 or permission of the instructor
Enrollment Preference: lottery
Distributions: Division III; Quantative/Formal Reasoning;