# Analysis II

There exists a sequence of rectangles, Ri, i = 0, ..., N + 1 such that R0 = Q0, RN+1 = Q and Int Ri -intersect- Int Ri+1 is non-empty. (Figure by Prof. Victor Guillemin.)

### Instructor(s)

Prof. Victor Guillemin

### MIT Course Number

18.101

### As Taught In

Fall 2005

### Level

Undergraduate

###

Some Description
Instructor(s) | Prof.
As Taught In | Spring 2002
Course Number | 2.24
Level | Undergraduate/Graduate
Features | Lecture Notes, Student Work

## Course Description

## Course Features

- Lecture notes

## Course Description

This course continues from Analysis I (18.100B), in the direction of manifolds and global analysis. The first half of the course covers multivariable calculus. The rest of the course covers the theory of differential forms in n-dimensional vector spaces and manifolds.

## Other Versions

## Other OCW Versions

Archived versions:

- 18.101 Analysis II (Fall 2004)

## Related Content

## Course Sequences

This course is the second part of a two-course sequence. The first course in the sequence is 18.100A Introduction to Analysis.

## Course Collections

See related courses in the following collections:

### Find Courses by Topic

- Topology and Geometry
- Calculus
- Mathematical Analysis

Victor Guillemin. 18.101 Analysis II. Fall 2005. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: Creative Commons BY-NC-SA.

For more information about using these materials and the Creative Commons license, see our Terms of Use.