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

All courses for every first-year Science student will be delivered online this fall. A limited number of students in their second, third and fourth years will return to campus for part of the semester.

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