Analysis is the study of functions, continuity and discontinuity, and infinity and the infinitesimal.

All first-year Science courses will be delivered virtually for Winter 2021. Due to the COVID-19 provincial lock-down, all students who were expecting in-person labs, should check their McMaster e-mail for important winter announcements..

Analysis is the study of functions, continuity and discontinuity, the infinite and the infinitesimal. At McMaster research in analysis deals with Harmonic Analysis and Partial Differential Equations. Harmonic analysis traces its roots back to Fourier series and is key for image segmentation, pattern recognition, and data compression. Current research involves oscillatory integrals, moment problems, and wavelets. Research in Partial Differential Equations includes fully nonlinear equations, free boundary problems, geometrical PDEs, degenerate elliptic and parabolic systems, and small divisor problems.

Nonlinear partial differential equations, mathematical physics

Fourier analysis, functional analysis

Harmonic analysis, partial differential equations and function theory