Prof. Katrin Wehrheim
Analysis I covers fundamentals of mathematical analysis: metric spaces, convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, interchange of limit operations.
Wehrheim, Katrin. 18.100B Analysis I, Fall 2010. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-100b-analysis-i-fall-2010 (Accessed). License: Creative Commons BY-NC-SA