Math 535 syllabus
Real Analysis I
Course description: An introduction to real analysis. Topics include: the metric topology of the reals,
limits and continuity, differentiation, Riemann-Stieltjes integral.
Prerequisite: Undergraduate course in advanced calculus (or real analysis) and basic proof writing skills
Suggested Texts: Mathematical Analysis by Apostol, Addison Wesley Longman, 1974;
Real Mathematical Analysis by Charles Chapman Pugh, Springer, Second Edition, 2015
Learning outcomes: Upon the successful completion of the course a student will gain an understanding of the foundations of modern real analysis, and sufficient preparation for continuing graduate studies in mathematics.