Mar 17, 2026  
University of Alberta Calendar 2026-2027 
    
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University of Alberta Calendar 2026-2027

MATH 521 - Differential Manifolds

Course Career Graduate
Units 3
Approved Hours 3-0-0
Fee index 6
Faculty Science
Department Mathematical & Statistical Sci
Typically Offered either term

Description
Topological and smooth manifolds; continuous, smooth, and invertible maps between manifolds; submanifolds; vector fields and their flows; Lie groups and algebras; left-invariant vector fields on a Lie group; differential forms, vector bundles and tensor fields; integration on manifolds; de Rham cohomology. Time permitting, additional topics at the discretion of the instructor. Prerequisite: one of MATH 209, 215, 217, 315 or MA PH 351, and one of MATH 225 or 227. Note: Credit cannot be obtained in both MATH 448 and MATH 521.