18.100C Analysis I

Spring 2006

Illustration of the Stone-Weierstrass theorem.
An 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.)

Course Highlights

This course features assignments, exams, and student projects.

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.
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Staff

Instructor:
Dr. Dan Ciubotaru

Course Meeting Times

Lectures:
Two sessions / week
1.5 hours / session

Recitations:
One session / week
1 hour / session

Level

Undergraduate