Graduate Course Descriptions

Functional Analysis I (3.00)

MATH 7410

Studies the basic principles of linear analysis, including spectral theory of compact and selfadjoint operators. Prerequisite: MATH 7340 and 7310, or equivalent.

Functional Analysis II (3.00)

MATH 7420

Studies the spectral theory of unbounded operators, semigroups, and distribution theory. Prerequisite: MATH 7410 or equivalent.

Introduction to Mathematical Physics (3.00)

MATH 7450

An introduction to classical mechanics, with topics in statistical and quantum mechanics, as time permits. Prerequisite: MATH 5310.

New Course in Mathematics (1.00 - 4.00)

MATH 7559

This course provides the opportunity to offer a new topic in the subject of mathematics.

Problems In Topology (3.00)

MATH 7705

A continuation of the theory presented in MATH 5770 and 7800 intensively training students to apply the theory to proving theorems and solving problems in topology, especially in preparation for the General Examination in Topology. Problems are based on those from past General Exams. This course is offered in the summer and restricted to Mathematics and Graduate Arts and Science students.

Algebra I (3.00)

MATH 7751

Studies groups, rings, fields, modules, tensor products, and multilinear functions. Prerequisite: MATH 5651, 5652, or equivalent.

Algebra II (3.00)

MATH 7752

Studies groups, rings, fields, modules, tensor products, and multilinear functions. Prerequisite: MATH 5651, 5652, or equivalent.

Algebra III (3.00)

MATH 7753

Studies the Wedderburn theory, commutative algebra, and topics in advanced algebra. Prerequisite: MATH 7751, 7752, or equivalent.

Algebra IV (3.00)

MATH 7754

Further topics in algebra.

Problems in Algebra (3.00)

MATH 7755

A continuation of the theory presented in MATH 7751 and 7752 intensively training students to apply the theory to proving theorems in algebra, especially in preparation for the General Examination in Algebra. Problems are based on those from past General Exams. This course is offered in the summer and restricted to Mathematics and Graduate Arts and Science students.

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