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

Archived Versions

Analysis I

As taught in: Fall 2006

Graph of the function.

The function x^2 sin (1/x) has 2 derivatives at zero, but not 3. (Image by Dr. P. Albin and Dr. E. Lenzmann.)

Instructors:

Dr. Enno Lenzmann

Dr. Pierre Albin

MIT Course Number:

18.100B

Level:

Undergraduate

Course Features

Course Description

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.