Hours:
36L/24T
A theoretical approach to: vector spaces over arbitrary fields, including C and Z_p. Subspaces, bases and dimension. Linear transformations, matrices, change of basis, similarity, determinants. Polynomials over a field (including unique factorization, resultants). Eigenvalues, eigenvectors, characteristic polynomial, diagonalization. Minimal polynomial, Cayley-Hamilton theorem.
Prerequisite:
High school level calculus
Corequisite:
Distribution Requirements:
Science
Breadth Requirements:
The Physical and Mathematical Universes (5)
Program Area Section: