The Graduate Program
Graduate Courses
The Department offers the following wide range of graduate courses in most of the main areas of mathematics. Courses numbered 6000-6999 are taken by senior undergraduates as well as by beginning Masters degree students. These courses generally carry three hours of credit per semester. Courses numbered 8000-8999 are taken by Masters and Ph.D. students; they generally carry three hours of credit per semester.
Descriptions of these courses are in the UGA Bulletin.
Foundations
Algebra/Group Theory
Analysis
Applied Mathematics and Differential Equations
Algebraic Geometry
Topology/Geometry
Number Theory
Numerical Analysis
Probability, Stochastic Processes and Combinatorics
Education
Misc. Mathematics Courses
7900 Foundations for Graduate Mathematics
6000 Modern Algebra and Geometry I
6010 Modern Algebra and Geometry II
6050 Advanced Linear Algebra
6080 Advanced Algebra
8000 Algebra
8010 Algebra II
8020 Commutative Algebra
8030 Topics in Algebra
8040 Representation Theory of Finite Groups
8080 Lie Algebras
Analysis
6100 Real Analysis
6110 The Lebesgue Integral and Applications
6120 Multivariable Analysis
6130 Introduction to Functional Analysis
6150 Complex Variables
8100 Real Analysis I
8110 Real Analysis II
8130 Topics in Analysis
8150 Complex Variables I
8160 Complex Variables II
8170 Functional Analysis I
8180 Functional Analysis II
8190 Lie Groups
Applied Mathematics and Differential Equations
6612 Introduction to Quantum Computation
6700 Qualitative Ordinary Differential Equations
6720 Introduction to Partial Differential Equations
6750 Matrix and Integral Transforms with Applications
6760 Mathematics and Music
6780 Mathematical Biology
8612 Topics in Quantum Computation
8700 Applied Mathematics: Applications in Industry
8710 Applied Mathematics: Variational Methods/Perturbation Theory
8740 Ordinary Differential Equations
8750 Introduction to Dynamical Systems
8770 Partial Differential Equations
Algebraic Geometry
6300 Introduction to Algebraic Curves
8300 Introduction to Algebraic Geometry
8310 Geometry of Schemes
8315 Sheaves and Cohomology
8320 Algebraic Curves
8330 Topics in Algebraic Geometry
Topology/Geometry
6200 Point Set Topology
6220 Differential Topology
6250 Differential Geometry
8200 Algebraic Topology
8210 Topology of Manifolds
8220 Homotopy Theory
8230 Topics in Topology and Geometry
8250 Differential Geometry I
8260 Differential Geometry II
Number Theory
6400 Number Theory
6450 Cryptology and Computational Number Theory
8400 Algebraic/Analytic Number Theory I
8410 Algebraic/Analytic Number Theory II
8430 Topics in Arithmetic Geometry
8440 Topics in Combinatorial/Analytic Number Theory
8450 Topics in Algorithmic Number Theory
Numerical Analysis
6500 Numerical Analysis I
6510 Numerical Analysis II
6550 Computer-Aided Curves and Surfaces Design
8500 Advanced Numerical Analysis I
8510 Advanced Numerical Analysis II
8520 Advanced Numerical Analysis III
8550 Special Topics in Numerical Analysis
Probability, Stochastic Processes and Combinatorics
6600 Probability
6630 Mathematical Analysis of Computer Algorithms
6670 Combinatorics
6690 Graph Theory
8600 Probability
8620 Stochastic Processes
8630 Stochastic Analysis
7040 Basic Ideas of Calculus I
7050 Basic Ideas of Calculus II
Misc. Mathematics Courses
6850 History of Mathematics
6900 Topics in Mathematics
8800 Directed Reading
8850 VIGRE Research Group and VIGRE Graduate Student Seminar
7005/9005 Doctoral Graduate Student Seminar
