MATH Graduate Course Catalog

Year:

Graduate MATH classes for Fall 2020 - Spring 2021

MATH511 Analysis I Credits: 3
Content: An introduction to fundamental analytic concepts including: The complex number system, geometry and topology of the complex plane, analytic functions, conformal mappings, complex integration, and singularities.
Particulars: TBA
Prerequisites: TBA
MATH515 Numerical Analysis I Credits: 3
Content: Course will cover fundamental parts of numerical linear algebra including matrix factorizations, solution of linear systems and least-squares problems, the calculation of eigenvalues and eigenvectors, and basic notions on iterative methods for large-scale matrix problems. Issues pertaining to conditioning and numerical stability will be thoroughly analyzed. We will also point out and use links to other mathematical and computer science disciplines such as mathematical modelling, computer architectures and parallel computing.
Particulars: Excellent background in linear algebra is assumed. Some knowledge of computer architectures, programming and elementary numerical analysis is highly desirable.
Prerequisites: TBA
MATH521 Algebra I Credits: 3
Content: Linear algebra, including canonical forms, infinite-dimensional vector spaces, tensor products, and multilinear algebra. Group theory including group actions and representations.
Particulars: Text: A.W. Knapp, "Basic algebra", Birkhauser, 2006.
Prerequisites: TBA
MATH523 Commutative Algebra & Geometry Credits: 3
Content: TBA
Particulars: TBA
Prerequisites: TBA
MATH528 Algebraic Number Theory Credits: 3
Content: TBA
Particulars: TBA
Prerequisites: TBA
MATH535 Combinatorics I Credits: 3
Content: TBA
Particulars: TBA
Prerequisites: TBA
MATH547 Differential Topology Credits: 3
Content: TBA
Particulars: TBA
Prerequisites: TBA
MATH557 Partial Differential Equations I Credits: 3
Content: TBA
Particulars: TBA
Prerequisites: TBA
MATH571 Numerical Optimization Credits: 3
Content: TBA
Particulars: TBA
Prerequisites: TBA
MATH572 Numerical Partial Differential Equations Credits: 3
Content: TBA
Particulars: TBA
Prerequisites: TBA
MATH577R Seminar in Combinatorics Credits: 3
Content: The seminar in combinatorics is a research seminar for students and faculty. It runs weekly, and features speakers from outside Emory who come to talk about topics of interest to the Emory faculty.
Particulars: TBA
Prerequisites: TBA
MATH578R Seminar in Algebra Credits: 1-9
Content: Research topics in algebra of current interest to faculty and students.
Particulars: TBA
Prerequisites: TBA
MATH579R Seminar in Analysis Credits: 3
Content: TBA
Particulars: TBA
Prerequisites: TBA
MATH590 Teaching Seminar Credits: 3
Content: This seminar will concentrate on effective teaching techniques in mathematics. Topics included will include: General advice for new TA's. General advice for International TA's. Students will present several practice lectures over different levels of material. They will receive practice on quiz and test preparation. Syllabus information on courses most likely to be taught by new TA's will be supplied. General professional development information will also be included.
Particulars: TBA
Prerequisites: TBA
MATH789 Topics in Analysis Credits: 3
Content: TBA
Particulars: TBA
Prerequisites: TBA