University Catalog

Master of Science Degree in General Mathematics

About This Program

The Department of Mathematics offers master's degree programs in mathematics with concentrations in General Mathematics, Applied Mathematics, Computational Mathematics, Data Science, Mathematics Education, Pure Mathematics, and Statistics. All students are to use the thesis plan, thesis-substitute plan, or non-thesis plan.

The objectives of the UT Arlington Mathematics Department’s graduate program are:

  • Develop the students’ ability to do independent research and prepare them for more advanced studies in mathematics.
  • Provide advanced training and preparation for professional careers as mathematicians, mathematics teachers, and those employed in engineering, scientific and business fields.

Graduate work will be offered in algebra, complex and real variables, data science, differential equations, functional analysis, geometry, mathematics education, numerical analysis, probability, statistics and topology.

Competencies

  1. Upon graduation, students will be equipped to solve complex mathematical problems in various mathematical fields.
  2. Upon completion, students will have demonstrated the application of mathematical theories to real-world problems.
  3. Upon graduation, students will be able to teach and communicate mathematical concepts effectively, and be prepared for careers in mathematics, teaching, and related fields.


 

Admissions Criteria

Unconditional Admission

For unconditional admission, a student must meet the following requirements:

  1. A BA or BS degree in mathematics or closely related field.
  2. An overall GPA in the final 60 hours of coursework of a 3.0 or better, as calculated by the Graduate School, on a 4.0 scale.
  3. Minimum of 350 on the verbal and 650 on the quantitative portions of the Graduate Record Examination (GRE) if taken prior to August 2011. Minimum of 143 on the verbal and 151 on the quantitative portions of the GRE if taken after August 2011.
  4. For applicants whose native language is not English, a minimum score of 550 on the Test of English as a Foreign Language (or a minimum score of 213 on a computer-based test, or a minimum score of 79 on an internet-based test) or a minimum score of 40 on the Test of Spoken English.
  5. Three favorable letters of recommendation from people familiar with the applicant's academic work.

Applicants who do not satisfy requirements 2 or 3 above may be considered for unconditional admission if further review of their undergraduate transcript, recommendation letters, correspondence or direct interactions with mathematics faculty, and statement of professional or research interests indicates that they are qualified to enter the Master's Program without deficiency.

Probationary Admission

If an applicant does not meet a majority of standards for unconditional admission outlined above, they may be considered for probationary admission after careful examination of their application materials. Probationary admission requires that the applicant receive a B or better in the first 12 hours of graduate coursework at UT Arlington.

Students who are unconditionally admitted or admitted on probation will be eligible for available scholarship and/or fellowship support. Award of scholarships or fellowships will be based on consideration of the same criteria utilized in admission decisions. To be eligible, candidates must be new students coming to UT Arlington in the fall semester, must have a GPA of 3.0 in the last 60 undergraduate credit hours plus any graduate credit hours as calculated by the Graduate School, and must be enrolled in a minimum of 6 hours of coursework in both long semesters to retain the fellowship.

Denial of Admission

Applicants may be denied admission if they have less than satisfactory performance on a majority of the admission criteria described above.

Deferred Admission

A deferred decision may be granted when a file is incomplete or when a denied decision is not appropriate. An applicant unable to supply all required documentation prior to the admission deadline, but who otherwise appears to meet admission requirements, may be granted provisional admission.

Curriculum 

Foundations
MATH 5307MATHEMATICAL ANALYSIS I3
MATH 5333LINEAR ALGEBRA AND MATRICES3
Concentration Foundations
Select a concentration:15
General Mathematics
REAL ANALYSIS
COMPLEX VARIABLES I
FUNCTIONAL ANALYSIS I
ABSTRACT ALGEBRA I
NUMERICAL ANALYSIS I
Applied Mathematics
INTRODUCTION TO SCIENTIFIC COMPUTING
Select four of the following:
APPLIED MATHEMATICS I
APPLIED MATHEMATICS II
ORDINARY DIFFERENTIAL EQUATIONS
APPLIED PARTIAL DIFFERENTIAL EQUATIONS
Or an area-related graduate course chosen in consultation with the student's advisor.
Computational Mathematics
INTRODUCTION TO SCIENTIFIC COMPUTING
NUMERICAL ANALYSIS I
NUMERICAL ANALYSIS II
APPLIED NUMERICAL LINEAR ALGEBRA
NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS
Or an area-related graduate course chosen in consultation with the student's advisor.
Data Science
INTRODUCTION TO SCIENTIFIC COMPUTING
STATISTICAL METHODS
APPLIED NUMERICAL LINEAR ALGEBRA
FOUNDATION OF DATA SCIENCES
Select two of the following:
MATHEMATICAL STATISTICS I
NUMERICAL ANALYSIS I ( OR AN AREA-RELATED COURSE CHOSEN IN CONSULATION WITH THE STUDENT'S ADVISOR )
OPTIMIZATION ON BIG DATA
DATA MINING
Mathematics Education
INTRODUCTION TO SCIENTIFIC COMPUTING
STATISTICAL METHODS
Select three of the following:
MODERN GEOMETRY
CONCEPTS AND TECHNIQUES IN ALGEBRA
MATHEMATICS-SPECIFIC TECHNOLOGIES
HISTORICAL APPROACH TO REAL ANALYSIS
CONCEPTS AND TECHNIQUES IN PROBLEM SOLVING
Pure Mathematics
COMPLEX VARIABLES I
ABSTRACT ALGEBRA I
Select three from the following:
GENERAL TOPOLOGY
ALGEBRAIC TOPOLOGY
HOMOLOGICAL ALGEBRA
ALGEBRAIC GEOMETRY
ABSTRACT ALGEBRA II
DIFFERENTIAL GEOMETRY
OR select 3 from the following:
INTRODUCTION TO SCIENTIFIC COMPUTING
GENERAL TOPOLOGY
REAL ANALYSIS
APPLIED PARTIAL DIFFERENTIAL EQUATIONS
FUNCTIONAL ANALYSIS I
DIFFERENTIAL GEOMETRY
Statistics
INTRODUCTION TO SCIENTIFIC COMPUTING
STATISTICAL METHODS
MATHEMATICAL STATISTICS I
MATHEMATICAL STATISTICS II
Select one of the following:
APPLIED MULTIVARIATE STATISTICAL ANALYSIS
SAMPLE SURVEYS
REGRESSION ANALYSIS
Thesis, Thesis Substitute, or Non-Thesis Option9-15
For the thesis option select: 9
6 hours in MATH 5398 or MATH 5698.
At least 3 hours of additional electives. 2
For the thesis-substitute option select:12
SPECIAL PROJECT
At least 9 hours of additional electives. 2
For the non-thesis option select:15
At least 15 hours of additional electives approved by the graduate advisor. 2
Total Hours30-36
1

Core requirements can also be fulfilled by completing core requirements in the PhD (BS Entry) program.

2

Electives may not be chosen from MATH 5336, MATH 5337, MATH 5340, MATH 5341, MATH 5342, MATH 5343, MATH 5344, MATH 5345, MATH 5346, MATH 5347, MATH 5348, MATH 5352, MATH 5370, MATH 5375, MATH 5376, MATH 5377, MATH 5378, MATH 5379. However, students in the Mathematics Education thesis or thesis-substitute track may choose three hours from MATH 5336, 5337, 5340-5348,5352, 5370, 5375-5379. Students in the Mathematics Education non-thesis track may choose six hours from MATH 5336, 5337, 5340-5348,5352, 5370, 5375-5379. Students in the Computational Mathematics track may choose three approved hours of electives in science and/or engineering. Elective courses for pure-mathematics track must be chosen from MATH 5300, MATH 5304, MATH 5317, MATH 5321, MATH 5326, MATH 5327, MATH 5329, MATH 5330, MATH 5332, MATH 5334, MATH 5380, or MATH 5392 courses offered in the pure-mathematics track.


Program Completion 

Students in thesis degree plan or thesis-substitute plan must pass a final Master's examination.

Advising Resources

For PhD and Master of Science (M.S.) Advising

Location:

Pickard Hall 403

Email:

hristo@uta.edu

Phone:

(817) 272-5763

Web:

Contact Information and Scheduling

For Master of Arts (M.A.) Advising

Location:

Pickard Hall 434

Email:

mathgradMAadvising@uta.edu

Phone:

817-272-3261

Web:

Contact Information and Scheduling