21-269 Vector Analysis

12 units, Carnegie Mellon University

A component of the honors program, 21-269 is a more demanding version of 21-268 of greater scope, with greater emphasis placed on rigorous proofs. Topics to be covered typically include: the real field, sups, infs, and completeness; geometry and topology of metric spaces; limits, continuity, and derivatives of maps between normed spaces; inverse and implicit function theorems, higher derivatives, Taylor's theorem, extremal calculus, and Lagrange multipliers. Integration. Iterated integration and change of variables. (Three 50 minute lectures, two 50 minute recitations)

Prerequisites: 21-122 and (21-127 or 15-151) and (21-241 (min A) or 21-242 (min B))

Offered: Spring 2027, Spring 2026

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