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MATH 212 Linear Algebra ll Units: 3.00
Vector spaces, direct sums, linear transformations, eigenvalues, eigenvectors, inner product spaces, self-adjoint operators, positive operators, singular-value decomposition, minimal polynomials, Jordan canonical form, the projection theorem, applications to approximation and optimization problems.
Learning Hours: 120 (36 Lecture, 12 Tutorial, 72 Private Study)
Requirements: Prerequisite MATH 111 or MATH 112 or MTHE 217.
Exclusion MATH 110.
Equivalency MATH 312.
Offering Faculty: Faculty of Arts and Science
Course Learning Outcomes:
- Computing eigenvalues and eigenvectors of endomorphisms.
- Computing Jordan Normal Forms of endomorphisms.
- Computing Taylor and Laurent expansions of complex analytic functions.
- Proving properties of homomorphisms between vector spaces, as well as properties of eigenvalues and eigenvectors of endomorphisms.
- Working with the properties of inner-products and Hilbert spaces.