This is an archived course. A more recent version may be available at ocw.mit.edu.

 

Analysis I

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.)

Instructor(s)

MIT Course Number

18.100C

As Taught In

Spring 2006

Level

Undergraduate

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.