MATH 325 - Linear Algebra III

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

Hermitian and unitary matrices, spectral theorem. Jordan canonical form. Cayley-Hamilton Theorem. Bilinear forms, positive-definiteness, Sylvester's Law of inertia, geometric lattices. Numerical methods. Application to discrete system evolution, matrix exponentials and differential equations. Prerequisite: MATH 225. Note: This course may not be taken for credit if credit has already been obtained in MATH 227.

MATH 428 - Advanced Ring Theory

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

Introduction to commutative algebra, algebraic geometry, and homological algebra. Additional topics at the discretion of the instructor. Prerequisite: MATH 326 or MATH 327 or consent of Department.

MATH 582 - Rings and Modules

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

Introduction to commutative algebra, algebraic geometry, and homological algebra. Additional topics at the discretion of the instructor. Prerequisite: MATH 326 or consent of the Department.