Graduate courses are offered at two levels. Courses numbered 6000-6900 are intended for senior undergraduates as well as graduate students. Courses numbered 8000-8980 are intended for graduate students preparing for Comprehensive or Qualifying Exams, or advanced Masters and PhD students. As a general rule, 6000-level courses and 8000-level courses carry 3 hours of credit per semester. (Most graduate courses meet 3 hours a week.) Normally, a first year student selects three courses per semester at the 6000-level. A second year student normally selects at least two courses per semester at the 8000-level. A first year student with previous course work at the 6000-level may substitute 8000-level courses. All students are required to take VRG Research Group (MATH 8850) in both Fall and Spring semesters within their first two years of study. All MATH8850 students are required to attend the VRG student seminars. All other graduate students are encouraged to attend the VRG student seminar. Most first year students take one of the teaching seminars GRSC 7770, LLED 7768, or LLED 7769.

A list of courses is given below, divided into groups according to subject area and level. See the University of Georgia Bulletin for a more detailed description of these courses.

A. Analysis | 6100 | Real Analysis |
---|---|---|

6110 | Lebesgue Integration | |

6120 | Multivariable Analysis | |

6150 | Complex Variables | |

B. Algebra | 6000-10-50-80 | Algebra |

6300 | Algebraic Geometry | |

6400 | Number Theory | |

6450 | Cryptography | |

C. Topology | 6200 | Topology |

6220 | Differential Topology | |

6250 | Differential Geometry | |

D. Applied Mathematics | 6500-10 | Numerical Analysis |

6600 | Probability | |

6612 | Quantum Computing | |

6630 | Algorithms | |

6670 | Combinatorics | |

6690 | Graph Theory | |

6700 | Differential Equations | |

6720 | Intro to PDEs | |

6730 | Math and Climate | |

6750 | Transforms | |

6780 | Mathematical Biology | |

6900 | Option Pricing | |

E. Analysis | 8100-10 | Real Analysis |

8130 | Topics in Analysis | |

8150-60 | Complex Analysis | |

8170-80 | Functional Analysis | |

8190 | Lie Groups | |

8440 | Combinatorial and Analytic Number Theory | |

F. Algebra | 8000 | Algebra |

8020 | Commutative Algebra | |

8030 | Topics in Algebra | |

8080 | Lie Algebras | |

8300 | Algebraic Geometry | |

8310 | Schemes | |

8315 | Sheaves and Cohomology | |

8320 | Curves | |

8330 | Topics in Algebraic Geometry | |

8400-10 | Number Theory | |

8430 | Arithmetic Geometry | |

G. Topology | 8200 | Algebraic Topology |

8210 | Topology of Manifolds | |

8220 | Homotopy | |

8230 | Topics in Geometry and Topology | |

8250-60 | Differential Geometry | |

H. Applied Math | 8500-10-20 | Numerical Analysis |

8550 | Topics in Numercial Analysis | |

8600-20-30 | Probability | |

8700-10 | Applied Mathematics | |

8740-50-70 | Differential Equations | |

I. Education |
7040 | Basic Ideas of Calculus I (=MATH 2400H) |

7050 | Basic Ideas of Calculus II (=MATH 2410H) | |

J. Foundations | 7900 | Foundations of Graduate Mathematics |

K. Miscellaneous | 6760 | Math and Music |

6850 | History of Math |