Course Description
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.
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![Plot of Weierstrass Function.](/courses/18-100b-analysis-i-fall-2010/5c88f9408009514f73f41d6b5d91fd13_18-100bf10.jpg)
Weierstrass’ famous function: continuous everywhere, but differentiable nowhere. (Courtesy Claudio Rocchini on Wikimedia Commons.)