MAT240H1: Algebra I

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)