18.100A/B Real Analysis

Catalog description:
Covers fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, interchange of limit operations. Shows the utility of abstract concepts and teaches understanding and construction of proofs.

• 18.100A: Proofs and definitions are less abstract than in 18.100B. Gives applications where possible. Concerned primarily with the real line.
• 18.100B: More demanding than 18.100A, for students with more mathematical maturity. Places more emphasis on point-set topology and n-space.

Also see the math department’s subject overview for courses on analysis.

Resources:

• 18.100B Spring 2024 in-class scribe lecture notes
• 18.100B Fall 2022 in-class scribe lecture notes (high-quality)
• 18.100A Fall 2020 OCW (lecture videos, homework, exams)
• 18.100A Fall 2018 class website (homework)
• 18.100B Fall 2012 class website (homework/solutions)
• 18.100B Fall 2011 class website (homework/solutions)
• 18.100B Fall 2010 OCW (homework/solutions from 2006)
• 18.100B Fall 2002 class website (homework/solutions)