MATH 226 - Algebraic Structures

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

Groups and their homomorphisms; commutative rings and modules; fields and vector spaces; subgroups and quotient groups, permutation groups; modules, submodules, quotient modules; polynomials rings and their ideals, modules over polynomial rings. Prerequisite: MATH 125. Note: Cannot be taken for credit if credit has been received in MATH 227.

MATH 311 - Theory of Functions of a Complex Variable

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

Complex numbers. Complex series. Functions of a complex variable. Cauchy's theorem and contour integration. Residue Theorem and its applications. Corequisite: MATH 215 or MATH 315 or MATH 317 or MA PH 351. Note: This course may not be taken for credit if credit has already been obtained in MATH 309 or 411.

MATH 483 - Topics in Algebra

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

This course will cover advanced algebraic topics not taught in regular courses in the curriculum or will provide a more in-depth continuation of an existing course. Prerequisite: at least one of MATH 326, MATH 327, MATH 328, MATH 329, or equivalent. Note: Upon approval by the Department of Mathematical and Statistical Sciences, this course may be taken for credit multiple times.

MATH 583 - Topics in Algebra

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

This course will cover advanced algebraic topics not taught in regular courses in the curriculum or will provide a more in-depth continuation of an existing course. Prerequisite: at least one of MATH 326, MATH 327, MATH 328, MATH 329, or equivalent. Note: Upon approval by the Department of Mathematical and Statistical Sciences, this course may be taken for credit multiple times.