Apr 06, 2025  
2022-2023 Graduate Catalog 
    
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2022-2023 Graduate Catalog [ARCHIVED CATALOG]

Mathematical Science, M.S.

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The graduate plan in Mathematical Science leads to the Master of Science degree. Successful applicants to the graduate program will typically have a Bachelor’s Degree in mathematics. The GRE score (verbal + quantitative) should be a minimum of 290 points, with a minimum quantitative score of 150. However, for students with a GPA (in mathematics courses) ≥ 3.5, the GPA requirement may be waived.

Without an undergraduate degree in mathematics, an applicant will be considered if their preparation includes a substantial number of advanced mathematics credits. Depending on prior coursework, applicants may be accepted as graduate students with the condition that they successfully complete additional preparatory courses. In that case, the credits from some 4000-level courses may count toward the graduate degree. For example, if not taken as an undergraduate, a graduate student must take MATH 4322 - Introduction to Abstract Algebra and MATH 4341 - Introduction to Analysis, and the credits would count toward the graduate degree.

Undergraduate foundation courses for the Master of Science in Mathematics Degree

  • Ordinary Differential Equations
  • Introduction to Abstract Algebra
  • Advanced Calculus
  • Introduction to Analysis

Course selections will be arranged in consultation with a faculty adviser while preparing the CPS.

 

Degree Requirements (33 hours)

Mathematics Core Requirements (9 hours)

Electives (18 hours)

Students will pursue the general degree option, the computational and applied specialization, or the mathematics education sub-plan.

General Degree Option

Students may take at most one from the following:

Electives in Pure Mathematics (6 hours)

Students will select an additional two courses from the list below.

General Mathematics (12 hours)

•Students will take any two 5000/6000-level courses (6 hours) with the MATH prefix.

 

•Students will take any two 5000/6000-level courses (6 hours) with the MATH and STAT prefix.*

 

*Note: Some 4000-level courses may apply toward the general mathematics elective requirements; see 4000-level exception below.

4000-level Course Exceptions

If taken as a graduate student at UHCL, and with the faculty adviser’s prior approval, a maximum of two 4000-level mathematics electives from the following list may apply toward the general mathematics elective requirement:

Additional Information

Other 4000-level mathematics courses (not in the list above) may satisfy the 4000-level course exception, if prior approval is granted by the program chair.

Computational and Applied Mathematics Specialization

Electives in Computational and Applied Math Specialization (9 hours)

Students will select an additional three courses from the list below.

General Mathematics Electives (9 hours)

For courses to be applied to the general mathematics electives requirements under the Computational and Applied Mathematics Specialization, note the following condition must be satisfied:

•If not previously applied toward a prior degree, MATH 4322 MATH 4322 - Introduction to Abstract Algebra    (or its equivalent as determined by the program chair) must be taken as a graduate student at UHCL, and its hours will be applied toward the general mathematics electives requirements.

Given that the condition is satisfied, students will select any combination of 5000 or 6000-level courses with the MATH prefix (9 hours total).

*Note: Some 4000-level courses may apply toward the general mathematics elective requirements; see 4000-level exception below.

4000-level Course Exceptions

If taken as a graduate student at UHCL, and with the faculty adviser’s prior approval, a maximum of two 4000-level electives from the following list may apply toward the general mathematics elective requirement:

Additional Information

Other 4000-level mathematics courses (not in the list above) may satisfy the 4000-level course exception, if prior approval is granted by the program chair.

Mathematics Education Sub-Plan

Elective in Pure or Applied Mathematics (3 hours)

Students will select an additional course from the list below.

Additional Information

A graduate mathematics course other than the ones listed above may satisfy the pure or applied mathematics elective requirement if prior approval is granted by both the faculty adviser and the program chair.

Mathematics Education Electives (15 hours)

All students must take EDUC 6033 - Research Design and Analysis. Then, students may select any four courses from the list (below).

Research Requirements (6 hours)

Students will choose the thesis option or the research project option.

Thesis Option

Students will take 6 hours of thesis:

Research Project Option

Students selecting the research project option must complete MATH 6837 - Research Project I and MATH 6838 - Research Project II. The first research project course may be taken after successfully completing nine hours of required core courses or during the last 15-18 hours of graduate mathematics coursework. MATH 6837 and MATH 6838 may not be taken concurrently. Students may enroll in MATH 6838 with prior approval from their faculty adviser, only after the project adviser determines that the student has made significant progress toward the completion of their project in MATH 6837. Students who change their research project topic must begin again with MATH 6837.

Students will take the following:

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