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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 111/6.0* or MATH 112/3.0 or MTHE 217/3.5. Exclusion MATH 110/6.0. Equivalency MATH 312/3.0*.  
Offering Faculty: Faculty of Arts and Science  

Course Learning Outcomes:

  1. Computing eigenvalues and eigenvectors of endomorphisms.
  2. Computing Jordan Normal Forms of endomorphisms.
  3. Computing Taylor and Laurent expansions of complex analytic functions.
  4. Proving properties of homomorphisms between vector spaces, as well as properties of eigenvalues and eigenvectors of endomorphisms.
  5. Working with the properties of inner-products and Hilbert spaces.