AS/SC/MATH4010.06
Real Analysis
This course provides a rigorous treatment of real analysis. The
emphasis will be on theory and understanding of concepts, though
applications such as fixedpoint theorems and the evaluation of
series, integrals and products, will certainly be included. All
students should have completed an introductory analysis course,
such as MATH3210.03. Students contemplating graduate work in
mathematics are strongly advised to take this course, since it
would be almost impossible to embark on advanced courses in
functional analysis or probability theory without such material.
Specific topics include: point set topology of the real line and
of metric spaces; limits, continuity, differentiability;
functions of bounded variation; RiemannStieltjes integration;
infinite products; sequences and series of functions; Lebesgue
measure and integration; and possibly some Fourier series.
The text is W. Rudin, Principles of Mathematical
Analysis, 3rd
ed. (McGrawHill).
The final grade may be based on assignments (20%), two class
tests (40%) and a final examination (40%).

Prerequisites: AS/SC/MATH3210.03 or permission of the course
coordinator.

Coordinator: Sid Scull