This is an archived course. A more recent version may be available at ocw.mit.edu.
The function x^2 sin (1/x) has 2 derivatives at zero, but not 3. (Image by Dr. P. Albin and Dr. E. Lenzmann.)
Dr. Enno Lenzmann
Dr. Pierre Albin
18.100B
Analysis I covers fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, and interchange of limit operations.