18.100C Analysis I

As taught in: Spring 2006

Illustration of the Stone-Weierstrass theorem.

In this illustration of the Stone-Weierstrass theorem, the polynomials Pn(x), as defined above, approximate the function f(x)=|x| uniformly on the interval [-1,1]. (Image by Dr. Dan Ciubotaru.)

Level:

Undergraduate

Instructors:

Dr. Dan Ciubotaru

Course Features

Course Description

This course is meant as a first introduction to rigorous mathematics; understanding and writing of proofs will be emphasized. We will cover basic notions in real analysis: point-set topology, metric spaces, sequences and series, continuity, differentiability, and integration.