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. Generally, 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. Mathematics Graduate 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
