Program of Study - Mathematics (MS)

Overview

The Department of Mathematics offers a 36-hour master’s degree program, which can be completed in one of three ways:

  1. A 36-hour non-thesis program completed with coursework and passing written and oral Comprehensive Exam leading to a Master of Science in mathematics.
  2. A 36-hour coursework-research project program completed by taking MATH 6391 Master's Project (three hours for project).
  3. A 36-hour coursework-thesis program completed by taking Thesis, MATH 7300 and MATH 7301 (six hours for thesis).

    All students applying for admission to this program must meet all University requirements for entrance into graduate studies and hold a bachelor’s degree in mathematics or a related field.

Objectives of the Program

The Master of Science in mathematics program is designed to provide a graduate level education for students who intend to teach at various levels, students who will continue or seek employment within the industrial sector, and students who intend to continue their education beyond the master’s level at other institutions.

The Master of Science in Mathematics consists of four concentrations: Mathematics, Mathematics Teaching, Industrial and Applied Mathematics, and Statistics. None of these options will prepare students for any license or certification.

Educational Objectives

Mathematical Concept: Demonstrate sound conceptual understanding of mathematics through the construction of mathematically rigorous and logically correct proof.

Communication: Communicate mathematics differently to mathematical and non-mathematical audiences in oral, written, and multi-media form.

Research: Demonstrate the ability to conduct research in mathematics, statistics or mathematics education

Real World Problems: Identify, formulate, and analyze real world problems with statistical or mathematical techniques

Technology: Utilize technology as an effective tool in investigating, understanding, and applying mathematics

Admission Requirements

To be admitted to the graduate program in mathematics, prospective candidates must first meet all requirements for graduate admission to UT Rio Grande Valley, as well as the other requirements listed below:

  1. Bachelor’s degree in mathematics or related field with a minimum of 12 hours of upper- division mathematics or statistics course work and a grade of “B” or better on all upper- division mathematics and/or statistics course work.
  2. Undergraduate GPA of at least 3.0 in upper-level Mathematics courses.
  3. GRE General Test. GRE test scores are valid for 5 years. A waiver of the GRE requirement will be granted to applicants who show proof of completing a graduate degree (master’s or doctoral).
  4. Two letters of recommendation
  5. Letter of intent detailing professional goals and reasons for pursuing the graduate degree.

Application for admission must be submitted prior to the published deadline. The application is available at www.utrgv.edu/gradapply.

Program Requirements

Leveling Coursework

CourseCourse Name
MATH 5390Survey of Topics in Mathematics

Required Courses (9 Credits)

CourseCourse Name
MATH 6330Linear Algebra
MATH 6331Algebra I
MATH 6352Analysis I

Choose one of the following concentrations:

Mathematics Concentration:

Required Courses (6 Credits)
CourseCourse Name
MATH 6332Algebra II
MATH 6353Analysis II
Designated Electives (15 Credits)
Chosen from the following:
CourseCourse Name
MATH 6323Group Theory
MATH 6329Number Theory
MATH 6339Complex Analysis
MATH 6360Ordinary Differential Equations
MATH 6361Partial Differential Equations
MATH 6362Fourier Analysis
MATH 6363Integrable Systems
MATH 6364Statistical Methods
MATH 6366Micro-local Analysis
MATH 6368Operator Theory
MATH 6370Topology
MATH 6371Differential Geometry
MATH 6372Analytic Number Theory
MATH 6373Algebraic Geometry
MATH 6375Numerical Analysis
MATH 6376Numerical Methods for Partial Differential Equations
MATH 6385Cryptology and Codes
MATH 6387Mathematical Modeling
MATH 6388Discrete Mathematics
MATH 6399Special Topics in Mathematics
Choose one of the following capstone options:
Capstone Requirement (6 Credits)
Thesis
CourseCourse Name
MATH 7300Thesis I
MATH 7301Thesis II
Or
Project
CourseCourse Name
MATH 6391Master's Project
Additional 3 hours of electives
Or
Non-Thesis

Additional 6 hours of electives (6)

Written and/or Oral Comprehensive Exam 

Mathematics Teaching Concentration:

Required Courses (9 Credits)
Chosen from the following:
CourseCourse Name
MATH 6325Contemporary Geometry
MATH 6329Number Theory
MATH 6365Probability and Statistics
Designated Electives (12 Credits)
Chosen from the following:
CourseCourse Name
MATH 6305History of Mathematics
MATH 6307Collegiate Mathematics Teaching
MATH 6323Group Theory
MATH 6328Special Topics in Mathematics Teaching
MATH 6339Complex Analysis
MATE 6310Mathematics Teaching and Learning Theories
Choose one of the following capstone options
Capstone Requirement
Thesis
CourseCourse Name
MATH 7300Thesis I
MATH 7301Thesis II
Or
Project
CourseCourse Name
MATH 6391Master's Project
Additional 3 hours of electives
Or
Non-Thesis

Additional 6 hours of electives (6)

Written and/or Oral Comprehensive Exam 

Industrial and Applied Mathematics Concentration:

Required courses (9 Credits)
CourseCourse Name
MATH 6360Ordinary Differential Equations
MATH 6361Partial Differential Equations
MATH 6375Numerical Analysis
Designated Electives (12 Credits)
Chosen from the following:
CourseCourse Name
MATH 6332Algebra II
MATH 6339Complex Analysis
MATH 6353Analysis II
MATH 6362Fourier Analysis
MATH 6363Integrable Systems
MATH 6364Statistical Methods
MATH 6365Probability and Statistics
MATH 6366Micro-local Analysis
MATH 6367Functional Analysis
MATH 6368Operator Theory
MATH 6369Mathematical Methods
MATH 6376Numerical Methods for Partial Differential Equations
MATH 6377Mathematical Fluid Mechanics
MATH 6378Inverse Problem and Image Reconstruction
MATH 6379Stochastic Processes
MATH 6385Cryptology and Codes
MATH 6387Mathematical Modeling
MATH 6388Discrete Mathematics
MATH 6399Special Topics in Mathematics
Choose one of the following capstone options:
Capstone Requirement
Thesis
CourseCourse Name
MATH 7300Thesis I
MATH 7301Thesis II
Or
Project
CourseCourse Name
MATH 6391Master's Project
Additional 3 hours of electives
Or
Non-Thesis

Additional 6 hours of electives (6)

Written and/or Oral Comprehensive Exam 

Statistics Concentration:

Required Courses (9 Credits)
CourseCourse Name
MATH 6364Statistical Methods
MATH 6365Probability and Statistics
MATH 6375Numerical Analysis
Designated Electives (12 Credits)
Chosen from the following:
CourseCourse Name
MATH 6336Advanced Sampling
MATH 6353Analysis II
MATH 6379Stochastic Processes
MATH 6380Time Series Analysis
MATH 6381Mathematical Statistics
MATH 6382Statistical Computing
MATH 6383Experimental Design and Categorical Data
MATH 6384Biostatistics
MATH 6386Statistical Data Mining
MATH 6387Mathematical Modeling
MATH 6389Actuarial Statistics
MATH 6399Special Topics in Mathematics
Choose one of the following capstone options:
Capstone Requirement (6 Credits)
Thesis
CourseCourse Name
MATH 7300Thesis I
MATH 7301Thesis II
Or
Project
CourseCourse Name
MATH 6391Master's Project
Additional 3 hours of electives
Or
Non-Thesis

Additional 6 hours of electives (6)

Written and/or Oral Comprehensive Exam 

Total Credit Hours: 36