MATH 127 - Honors Linear Algebra I

3 units (fi 6)(FIRST, 4-0-0)

Linear equations; Euclidean spaces, matrices. Complex numbers and fields. Vector spaces : basis, dimension, linear transformations. Introductions to groups and rings; permutation groups. Determinants. Eigenvalues and Eigenvectors. Prerequisite: Mathematics 30-1. Note: Credit can be obtained in at most one of Math 102, 125 or 127.

MA PH 364 - Group Theory in Physics

3 units (fi 6)(EITHER, 3-0-0)

Symmetries in physics; basic concepts of group theory and representation theory; finite groups; continuous groups; orthogonal and unitary groups; Lie groups; spinor representations; Lorentz and Poincare groups. Prerequisite: MATH 225 or MATH 227. Note: Credit can be obtained in at most one of MA PH 364 and MA PH 464.

MATH 227 - Honors Linear Algebra II

3 units (fi 6)(SECOND, 4-0-0)

Quotients and direct sums. Cayley-Hamilton. Canonical Forms (diagonal and Jordan). Real and Complex inner product spaces : orthogonality, singular value decomposition. Introduction to abstract algebra : groups, rings, and modules. Homomorphisms. Prerequisite: MATH 127. 127; Students with MATH 102 or 125 require MATH 226 as a co-requisite and consent of the Department. Note: Credit can be obtained in at most one of MATH 225 or 227.