Analysis II

Overview

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.

Skills you'll practise

Mathematics Science & Math

Advantages and disadvantages

Advantages

The real MIT course: lecture notes, problem sets and exams, often with solutions.
Free, with no sign-up or deadlines.
Taught by Massachusetts Institute of Technology, one of the strongest names in its field.
Completely free.
Self-paced: start any time.

Disadvantages

No certificate, no grading and no forum: you need to be self-driven.
Many courses are recordings of past semesters and some have notes only, no videos.
No certificate.

Some points apply to every course of this kind; see how we rank.

Free to learn

Free: All the materials are free to use, with no sign-up. MIT OpenCourseWare gives no certificate.

Taught by

Prof. Victor Guillemin

Massachusetts Institute of Technology is in Tier 1: world-leading universities and India's top institutes of our institution ranking (98/100). OpenCourseWare is the gold standard for free university material.