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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.