Each concentration has 33 hours of concentrationspecific coursework. Student is encouraged to choose his/her concentration of study early in the program by consulting with the academic advisor, in order to plan for the coursework to prepare for the qualifying exams.
Students who enter the program with a Master's degree, up to 30 hours of relevant graduate coursework may be transferred depending on individual's background and the chosen concentration in consultation with an academic advisor. The course descriptions and detailed guidelines for qualifying exams, teaching internship, professional nonteaching internship and dissertation can be found in:
 MTH 525  Modern Algebra II 3(30)
 MTH 623  The Theory of Groups 3(30)
 MTH 632  Introduction to Real Analysis and Its Applications 3(30)
 MTH 636  Introduction to Complex Variables 3(30)
 MTH 761  Methods for Teaching College Mathematics 3(30)
 MTH 762  A Survey of Research in Collegiate Mathematics Education 3(30)
 STA 584  Mathematical Statistics I 3(30)
 STA 684  Theory of Statistical Inference 3 (30)
II1: Concentration in Mathematics (33 hours)

A: Mathematics Core Courses (9 hours)
(Student must select MTH 625, 645 and ONE of MTH 633, 637)
 MTH 625  Theory of Associative Rings 3(30)
 MTH 633  Real Variables 3(30)
 MTH 637  Complex Variable Theory 3(30)
 MTH 645  Topology 3(30)

BD: Core Electives (1518 hours)
(Students must select 1518 hours from areas BD. At least three of the courses must be at or above 600 level.

B: Core Electives I – Applied Mathematics (39 hours)
(Students must select MTH 534 as one of the courses from B)
 MTH 520  Optimization Theory 3(30)
 MTH 534  Applied Mathematics and Differential Equations 3(30)
 MTH 634  Fourier Analysis 3(30)
 MTH 638  Theoretical Numerical Analysis 3(30)
 MTH 734  Partial Differential Equations and Applications 3(30)

C: Core Electives II  Pure Mathematics (39 hours)
 MTH 527  Representation Theory of the Symmetric Group 3(30)
 MTH 578  Combinatorics I 3(30)
 MTH 627  Representation Theory of Lie Algebras 3(30)
 MTH 644  Differential Geometry 3(30)
 MTH 678  Combinatorics II 3(30)
 MTH 732  Functional Analysis 3(30)

D: Core Electives III  Advanced Topics in Mathematics (39 hours)
 MTH 641  Topics in Geometry 3(30)
 MTH 725  Topics in Algebra 3(30)
 MTH 730  Topics in Applied Mathematics 3(30)
 MTH 737  Topics in Analysis 3(30)
 MTH 778  Topics in Combinatorics 3(30)

E: Area of Specialization Courses (6 hours)
 MTH 796  Special Topics in Mathematics 16 (Spec)
 MTH 797  Independent Study 19 (Spec)

F: Other Electives (03 hours)
 All other courses with designation of MTH, STA or ACT at 500 level or higher, and approved by the advisor.
II2: Concentration in Collegiate Mathematics Education (33 hours)

A: Mathematics Education Core Courses (18 hours)
 MTH 763  Advanced Perspectives In Collegiate Mathematics Education 3(30)
 MTH 764  Qualitative Research Methods in Mathematics Education 3(30)
 MTH 767  Seminar I in Collegiate Mathematics Education 3(30)
 MTH 768  Seminar in Collegiate Mathematics Education II 3(30)
 EDU 614  Advanced Educational Psychology 3(30)
 PSY 611  Research Design 3(30)

B: Core Electives I (6 hours)
 MTH 520  Optimization Theory 3(30)
 MTH 578  Combinatorics I 3(30)
 MTH 586  Operations Research I 3(30)
 MTH 625  Theory of Associative Rings 3(30)
 MTH 638  Theoretical Numerical Analysis 3(30)
 MTH 644  Differential Geometry 3(30)
 MTH 645  Topology 3(30)
 MTH 673  History of Advanced Mathematics 3(30)
 MTH 678  Combinatorics II 3(30)
 STA 590  Applied Statistical Methods II 3(30)
 STA 678  Categorical Data and Survival Analysis 3(30)
 STA 682  Linear Models 3(30)
 STA 686  Multivariate Analysis 3(30)

C: Core Electives II (9 hours)
 These could be courses from either inside or outside of the department, selected in consultation with the student's advisor.
II3: Concentration in Statistics (33 hours)
A: Statistics Core Courses (21 hours)
 STA 575  Statistical Programming for Data Management and Analysis 3(30)
 STA 582  Experimental Designs 3(30)
 STA 590  Applied Statistical Methods II 3(30)
 STA 675  Advanced Statistical Data Management and Simulation 3(30)
 STA 678  Categorical Data and Survival Analysis 3(30)
 STA 682  Linear Models 3(30)
 STA 686  Multivariate Analysis 3(30)
 B: Core Electives (12 hours)
 STA 591  Data Mining Techniques 3(30)
 STA 691  Advanced Data Mining Techniques 3(30)
 STA 694  Bayesian Statistics 3(30)
 STA 696  Special Topics in Statistics 16(Spec)
 STA 697  Independent Study 19(Spec)
 STA 782  Generalized Linear Models 3(30)
 STA 784  Theory of Estimation 3(30)
 STA 797  Independent Study 19(Spec)
Qualifying Examinations will be offered in the following subjects, based on the material in the courses listed in the current Graduate Student Handbook of Department of Mathematics.
 Algebra
 Analysis
 Applied Mathematics
 Applied Statistics
 Combinatorics
 Mathematics Education
 Theoretical Statistics
 Topology
Each doctoral student must pass examinations in three different subjects from those listed above.
 Students choosing the Concentration in Mathematics must pass examinations in algebra, analysis, and one other subject listed above.
 Students choosing the Concentration in Collegiate Mathematics Education must pass examinations in mathematics education and two other subjects listed above, at least one of which must be algebra or analysis.
 Students choosing the Concentration in Statistics must pass examinations in theoretical statistics, applied statistics, and analysis.
Students are required to take six (6) hours of internship of which at least three hours must be a teaching internship. The student must earn credits for internship by registering for MTH 766 for teaching internship and MTH 795 for nonteaching professional internship.
 MTH 766  Internship: College Teaching 36(Spec)
 MTH 795  Advanced Practicum/Internship 36(Spec)
Students are required to register for 12 hours of MTH 898 (Dissertation) supervised by a graduate faculty. Upon completion of coursework, qualifying examination, internship, and dissertation, the candidate for the Ph.D. degree must pass a final oral examination which is the dissertation defense in a colloquium format. The student's dissertation committee determines whether the student passes the oral examination.
 MTH 898  Dissertation 130(Spec)
Total: 75 semester hours