18.100A | Fall 2020 | Undergraduate, Graduate

Real Analysis

Course Description

This course covers the fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, and the interchange of limit operations. It shows the utility of abstract concepts through a study of real numbers, and …
This course covers the fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, and the interchange of limit operations. It shows the utility of abstract concepts through a study of real numbers, and teaches an understanding and construction of proofs.

Course Info

Learning Resource Types
Lecture Notes
Lecture Videos
Exams
Problem Sets
A man standing in front of a blackboard and pointing to some text on the blackboard.
Dr. Casey Rodriguez teaching Lecture 1 of Real Analysis. (Image by MIT OpenCourseWare.)