Vector Analysis

12 units · Undergraduate

Spring: 12 units 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 ( 15-151 or 21-127 ) and ( 21-242 Min. grade B or 21-241 Min. grade A) Course Website: https://www.cmu.edu/math/undergrad/math-course-information.html