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The course descriptions that can be accessed from this page are more detailed and up to date than the course descriptions
found in the Graduate School Handbook of UNC, which are linked with the home page of the Graduate School. Graduate courses
accessible to first year students, although not always taken in the first year, are those numbered under 200. Syllabi for
courses under 200 are relatively detailed and standardized, especially for those courses upon which the five Ph.D. qualifying
exams are based (all except 189 and 190). As course numbers increase above 200, the syllabi become less detailed and more
flexible, with course content left increasingly to the instructor. In many cases a more complete course description can be found
through the home page of the current instructor.
Starting with the Fall 2006 semester, Math courses will be renumbered. The new numbers are given in parentheses below. Click
here
for more information about course renumbering.
MATH 180, (680) Geometry of Curves and Surfaces
MATH 181, (681) Introductory Topology
MATH 186, (676) Linear Algebra
MATH 187, (677) Rings and Representations
MATH 189, (641) Enumerative Combinatorics
MATH 190, (643) Combinatorial Structures
MATH 191, (661) Scientific Computation I
MATH 192, (662) Scientific Computation II
MATH 193, (653) Introductory Analysis
MATH 196, (656) Complex Analysis
MATH 197, (657) Qualitative Theory of Differential Equations
MATH 198, (668) Methods of Applied Mathematics I
MATH 199, (669) Methods of Applied Mathematics II
MATH 201, (751) Introduction to Partial Differential Equations
MATH 203, (753) Measure and Integration
MATH 204, (754) Introductory Functional Analysis
MATH 205, (755) Advanced Complex Analysis
MATH 206, (756) Several Complex Variables
MATH 210, (891) Topics in Analysis
MATH 213, (854) Advanced Functional Analysis
MATH 215, (892) Methods in Computational Mathematics
MATH 221, (761) Numerical ODE/PDE I
MATH 222, (762) Numerical ODE/PDE II
MATH 224, (853) Harmonic Analysis
MATH 228, (768) Mathematical Modeling I
MATH 229, (769) Mathematical Modeling II
MATH 231, (771) Commutative Algebra
MATH 234, (893) Topics in Algebra
MATH 253, (894) Topics in Combinatorial Mathematics
MATH 257, (775) Algebraic Geometry
MATH 261, (857) Theory of Dynamical Systems
MATH 271, (781) Differentiable Manifolds
MATH 272, (782) Differential Geometry
MATH 273, (773) Lie Groups
MATH 274, (774) Lie Algebras
MATH 277, (895) Special Topics in Geometry
MATH 286, (776) Algebraic Topology
MATH 287, (896) Topics in Algebraic Topology
MATH 390, (920) Seminar and Directed Readings (1-3)
MATH 925, (925) Practical Training Course in Mathematics
MATH 393, (993) Master's Thesis (3 or more).
(This should not be taken by students electing nonthesis master's projects)
MATH 394, (994) Doctoral Dissertation (3 or more).
MATH 400, General Registration (0)
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