This unit further develops the theory of vector spaces over arbitrary fields and linear maps between them. Topics include quotient spaces, dual spaces, determinants, and canonical forms of linear maps ...

Algebraic structures and linear maps form a cornerstone in modern mathematics, underpinning areas as diverse as abstract algebra and functional analysis. Algebraic structures such as groups, rings, ...

All prerequisite courses must be passed with a grade of C- or better. For official course descriptions, please see the current CU-Boulder Catalog. MATH 3001 Analysis 1 Provides a rigorous treatment of ...