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

MATH 5390Survey of Topics in Mathematics

3

Required Courses (9 Credits)

MATH 6330Linear Algebra

3

MATH 6331Algebra I

3

MATH 6352Analysis I

3

Choose one of the following concentrations:

Mathematics Concentration:

Required Courses (6 Credits)
MATH 6332Algebra II

3

MATH 6353Analysis II

3

Designated Electives (15 Credits)
Chosen from the following:
MATH 6323Group Theory

3

MATH 6329Number Theory

3

MATH 6339Complex Analysis

3

MATH 6360Ordinary Differential Equations

3

MATH 6361Partial Differential Equations

3

MATH 6362Fourier Analysis

3

MATH 6363Integrable Systems

3

MATH 6364Statistical Methods

3

MATH 6366Micro-local Analysis

3

MATH 6368Operator Theory

3

MATH 6370Topology

3

MATH 6371Differential Geometry

3

MATH 6372Analytic Number Theory

3

MATH 6373Algebraic Geometry

3

MATH 6375Numerical Analysis

3

MATH 6376Numerical Methods for Partial Differential Equations

3

MATH 6385Cryptology and Codes

3

MATH 6387Mathematical Modeling

3

MATH 6388Discrete Mathematics

3

MATH 6399Special Topics in Mathematics

3

Choose one of the following capstone options:
Capstone Requirement (6 Credits)
Thesis
MATH 7300Thesis I

3

MATH 7301Thesis II

3

Or
Project
MATH 6391Master's Project

3

Additional 3 hours of electives

3

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:
MATH 6325Contemporary Geometry

3

MATH 6329Number Theory

3

MATH 6365Probability and Statistics

3

Designated Electives (12 Credits)
Chosen from the following:
MATH 6305History of Mathematics

3

MATH 6307Collegiate Mathematics Teaching

3

MATH 6323Group Theory

3

MATH 6328Special Topics in Mathematics Teaching

3

MATH 6339Complex Analysis

3

MATE 6310Mathematics Teaching and Learning Theories

3

Choose one of the following capstone options
Capstone Requirement
Thesis
MATH 7300Thesis I

3

MATH 7301Thesis II

3

Or
Project
MATH 6391Master's Project

3

Additional 3 hours of electives

3

Or
Non-Thesis

Additional 6 hours of electives (6)

Written and/or Oral Comprehensive Exam 

Industrial and Applied Mathematics Concentration:

Required courses (9 Credits)
MATH 6360Ordinary Differential Equations

3

MATH 6361Partial Differential Equations

3

MATH 6375Numerical Analysis

3

Designated Electives (12 Credits)
Chosen from the following:
MATH 6332Algebra II

3

MATH 6339Complex Analysis

3

MATH 6353Analysis II

3

MATH 6362Fourier Analysis

3

MATH 6363Integrable Systems

3

MATH 6364Statistical Methods

3

MATH 6365Probability and Statistics

3

MATH 6366Micro-local Analysis

3

MATH 6367Functional Analysis

3

MATH 6368Operator Theory

3

MATH 6369Mathematical Methods

3

MATH 6376Numerical Methods for Partial Differential Equations

3

MATH 6377Mathematical Fluid Mechanics

3

MATH 6378Inverse Problem and Image Reconstruction

3

MATH 6379Stochastic Processes

3

MATH 6385Cryptology and Codes

3

MATH 6387Mathematical Modeling

3

MATH 6388Discrete Mathematics

3

MATH 6399Special Topics in Mathematics

3

Choose one of the following capstone options:
Capstone Requirement
Thesis
MATH 7300Thesis I

3

MATH 7301Thesis II

3

Or
Project
MATH 6391Master's Project

3

Additional 3 hours of electives

3

Or
Non-Thesis

Additional 6 hours of electives (6)

Written and/or Oral Comprehensive Exam 

Statistics Concentration:

Required Courses (9 Credits)
MATH 6364Statistical Methods

3

MATH 6365Probability and Statistics

3

MATH 6375Numerical Analysis

3

Designated Electives (12 Credits)
Chosen from the following:
MATH 6336Advanced Sampling

3

MATH 6353Analysis II

3

MATH 6379Stochastic Processes

3

MATH 6380Time Series Analysis

3

MATH 6381Mathematical Statistics

3

MATH 6382Statistical Computing

3

MATH 6383Experimental Design and Categorical Data

3

MATH 6384Biostatistics

3

MATH 6386Statistical Data Mining

3

MATH 6387Mathematical Modeling

3

MATH 6389Actuarial Statistics

3

MATH 6399Special Topics in Mathematics

3

Choose one of the following capstone options:
Capstone Requirement (6 Credits)
Thesis
MATH 7300Thesis I

3

MATH 7301Thesis II

3

Or
Project
MATH 6391Master's Project

3

Additional 3 hours of electives

3

Or
Non-Thesis

Additional 6 hours of electives (6)

Written and/or Oral Comprehensive Exam 

Total Credit Hours: 36