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MATH 62CM. Modern Mathematics: Continuous Methods. 5 Units.

A continuation of themes from Math 61CM, centered around: manifolds, multivariable integration, and the general Stokes' theorem. This includes a treatment of multilinear algebra, further study of submanifolds of Euclidean space and an introduction to general manifolds (with many examples), differential forms and their geometric interpretations, integration of differential forms, Stokes' theorem, and some applications to topology. Prerequisite: Math 61CM.


...either sequence ( MATH 61CM , MATH 62CM , MATH 63CM ) or ( MATH 61DM , MATH 62DM , MATH 63DM...