Course Requirements for the Degree of Ph.D. in Mathematics

Core Courses (15 credits) 

  COURSE                                        Credits 
  MATH 6201  Modern Algebra . . . . . . . . . . . 3
  MATH 6261  Real Variables I . . . . . . . . . . 3 
  MATH 6150  Linear Algebra . . . . . . . . . . . 3
  MATH 6202  Modern Algebra II. . . . . . . . . . 3 
  MATH 6301  Functions of a Complex Variable. . . 3

Pure Mathematics Specialization (45 credits)

  COURSE                                         Credits 
  MATH 6540   Introduction to Topology . . . . . . 3
  MATH 6271   Mathematical Analysis I. . . . . . . 3 
  MATE 6262   Functions of Real Variables II . . . 3 
  MATE 6551   Algebraic Topology I . . . . . . . . 3
  MATE 6272   Mathematical Analysis II . . . . . . 3	 
  MATE 8309   Complex Analysis II . .  . . . . . . 3
  MATE 6460   Functional Analysis I. . . . . . . . 3 	 
  MATE 8469   Functional Analysis II . . . . . . . 3	 
  MATE 8465   Spectral Theory  and D.E.  . . . . . 3
              Courses in Specialization Area . . .12
              Elective Courses . . . . . . . . . . 6

Discrete Mathematics Specialization (45 credits)

  COURSE                                         Credits 
  MATH 8001   Graph Theory . . . . . . . . . . . . 3
  MATH 6881   Linear Programming . . . . . . . . . 3  
  MATH 8005   Enumerative Combinatorics. . . . . . 3  
  MATH 8015   Discrete Algorithms. . . . . . . . . 3
  MATH 8051   Convex Polytopes . . . . . . . . . . 3
  MATH 8021   Algebraic Combinatorics. . . . . . . 3  
  MATH 8031   Combinatorial Optimization . . . . . 3 	 
  MATH 6656   Applied Algebra I. . . . . . . . . . 3  
  MATH 8041   Matroid Theory . . . . . . . . . . . 3 
              Courses in Specialization Area . . .12
              Elective Courses . . . . . . . . . . 6

Computational Mathematics Specialization (45 credits)

  COURSE                                         Credits 
  MATH 6601   Probability and Statistics I . . . . 3
  MATH 6271   Mathematical Analysis I  . . . . . . 3 
  MATH 6681   Data Structures I. . . . . . . . . . 3
  MATH 6602   Probability and Statistics II  . . . 3
  MATH 6272   Mathematical Analysis II . . . . . . 3
  MATH 6682   Data Structures II . . . . . . . . . 3	 
  MATH 6680   Computational Analysis I . . . . . . 3
  MATH 6690   Computational Analysis II. . . . . . 3 
              Courses in Specialization Area . . .15
              Elective Courses . . . . . . . . . . 6

Seminars (6 credits)

Doctoral Disertation (3 credits)

Total Credits, 69