700
Advanced topics in the area of algebra that are not covered in the regularly offered courses. To be taken as a three credit course and may be repeated for a maximum of nine credit hours. Prerequisite:
MTH 623; permission of instructor. Recommended:
MTH 525, 625.
Credits
3-9(Spec)
Prerequisites
MTH 623; permission of instructor
Corequisites
None.
Advanced topics in the area of applied mathematics that are not covered in the regularly offered courses. Specific topics are determined by the instructor. To be taken as a three credit course and may be repeated for a maximum of nine credit hours. Prerequisites:
MTH 534 or 632 or 634; permission of instructor. Recommended:
MTH 534, 632, 634, 638.
Credits
3-9(Spec)
Prerequisites
MTH 534 or MTH 632 or MTH 634; permission of instructor
Corequisites
None.
Fundamentals of topological vector spaces, normed spaces, Banach and Hilbert spaces, functionals on such spaces, operators on Banach and Hilbert spaces, spectral theorems, Banach algebras. Prerequisites:
MTH 632, 636.
Credits
3(3-0)
Prerequisites
MTH 632, MTH 636
Corequisites
None.
Solutions of partial differential equations by analytic and numerical techniques using standard methods, including Fourier series and Laplace transforms, perturbation, finite elements and finite differences. Prerequisites:
MTH 334 and
MTH 636.
Credits
3(3-0)
Prerequisites
MTH 334 and MTH 636
Corequisites
None.
Topics in the area of analysis that are not covered in the regularly offered courses. To be taken as a three credit course and may be repeated for a maximum of nine credit hours. Prerequisites:
MTH 632 or 636; permission of instructor. Recommended:
MTH 533, 632, 636, 732.
Credits
3-9(Spec)
Prerequisites
MTH 632 or MTH 636; permission of instructor
Corequisites
None.
Advanced topics in the area of geometry that are not covered in the regularly offered courses. To be taken as a three-credit course and may be repeated for a maximum of nine credit hours. Prerequisites: MTH 543 or 643; permission of instructor. Recommended: MTH 533, 645.
Credits
3-9(Spec)
Prerequisites
MTH 543 or MTH 643; permission of instructor
Corequisites
None.
Methods in teaching undergraduate mathematics including technology use, cooperative learning, inquiry, and guided discovery. Students will create activities and discuss best practices of undergraduate instruction. Prerequisite: Admission to the MA or Ph.D. program in the Department of Mathematics or the Department of Statistics, Actuarial and Data Sciences.
Credits
3(3-0)
Prerequisites
Admission to the MA or PhDprogram in the Department of Mathematics
Corequisites
None.
Introduction to understanding and interpreting mathematics education research at the undergraduate level. Prerequisite:
MTH 761.
Credits
3(3-0)
Prerequisites
MTH 761
Corequisites
None.
Advanced perspectives in collegiate mathematics education as it relates to the areas of teaching, learning, and curriculum. Prerequisites:
MTH 762 and
EDU 614.
Credits
3(3-0)
Prerequisites
MTH 762 and EDU 614
Corequisites
None.
Introduction to the methods of qualitative research in mathematics education including research design, development of protocols, fieldwork, collecting and analyzing data, and techniques of interviewing. Prerequisite:
MTH 763.
Credits
3(3-0)
Prerequisites
MTH 763
Corequisites
None.
Teaching of approved undergraduate mathematics or statistics courses. Students will conduct their teaching internship under the supervision of a graduate faculty member. CR/NC only. Prerequisites:
MTH 761; successful completion of all qualifying examinations.
Credits
3-6(Spec)
Prerequisites
MTH 761; successful completion of all qualifying examinations
Corequisites
None.
Use of a review of literature to focus research questions and to develop a research proposal. Each student develops a proposal for his/her dissertation research. Prerequisites:
MTH 764.
Credits
3(3-0)
Prerequisites
MTH 764
Corequisites
None.
Students will conduct the pilot study they designed in
MTH 767. They will collect and analyze data and develop conclusions based on their data. Prerequisites:
MTH 767. Pre/Co-requisite:
PSY 611.
Credits
3(3-0)
Prerequisites
MTH 767
Corequisites
None.
Advanced topics in the area of combinatorics that are not covered in the regularly offered courses. To be taken as a three credit course and may be repeated for a maximum of nine credit hours. Prerequisite:
MTH 578; permission of instructor. Recommended:
MTH 525, 623, 678.
Credits
3-9(Spec)
Prerequisites
MTH 578; permission of instructor
Corequisites
None.
In-depth doctoral practicum project supervised by a faculty member or internship experience in an external agency supervised by a faculty member and a professional supervisor. CR/NR only. Prerequisites: Successful completion of all required Ph.D. qualifying examinations; permission of the faculty supervisor.
Credits
3-6(Spec)
Prerequisites
Successful completion of all required PhDqualifying examinations; permission of the faculty supervisor
Corequisites
None.
Consideration of subject matter not included in regular courses. May be taken for credit more than once; total credit not to exceed 6 hours. Prerequisite: completion of 30 hours of coursework required for the Doctoral program.
Credits
1-6(Spec)
Prerequisites
completion of 30 hours of coursework required for the Doctoral program
Corequisites
None.
Open to doctoral students in mathematics. May be taken for credit more than once; total credit not to exceed 9 hours. Prerequisites: 30 hours of coursework toward the doctoral program; permission of the instructor.
Credits
1-9(Spec)
Prerequisites
30 hours of coursework toward the doctoral program; permission of the instructor
Corequisites
None.
Master's thesis research. CR/NC only. Prerequisites: Graduate status and permission of thesis advisor.
Credits
1-6(Spec)
Prerequisites
Graduate status and permission of thesis advisor
Corequisites
None.