Introduction to Analysis (18.100)
MIT OpenCourseWare's foundational real analysis course, covering continuity, differentiability, the Riemann integral, sequences and series of numbers and functions, uniform convergence, and interchange of limit operations, plus an introduction to point-set topology including work in Euclidean n-space. The course exists in three versions: Option A uses less abstract definitions and stays mostly on the real line before touching the plane late in the term, Option B is more demanding and foregrounds point-set topology and n-space from the start, and Option C adds instruction in written and oral communication. Materials include lecture notes, problem sets, and exams as published by MIT, with no instructor interaction or certificate. This is self-study coursework drawn directly from an undergraduate MIT mathematics requirement, suited to students who have completed calculus and want a rigorous grounding in proof-based analysis.