MATH 815 - Theory Of Linear Transformations

Description
Topics fundamental to the study of linear transformations on finite and infinite dimensional vector spaces over the real and complex number fields including: subspaces, direct sums, quotient spaces, dual spaces, matrix of a transformation, adjoint map, invariant subspaces, triangularization and diagonalization. Additional topics may include: Riesz Representation theorem, projections, normal operators, spectral theorem, polar decomposition, singular value decomposition, determinant as an n-linear functional, Cayley-Hamilton theorem, nilpotent operators, and Jordan canonical form. Enrollment Requirements: Math 314/814 and either Math 325 or Math 310.
Credits
3
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Recent Semesters
Spring 2018
Offered
TuTh
Avg. Class Size
30
Avg. Sections
1