# Mathematics with a Concentration in Applied Mathematics (MS) - Online Program

**Overview**

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

- A 36-hour non-thesis program completed with coursework and passing written and oral Comprehensive Exam leading to a Master of Science in mathematics.
- A 36-hour coursework-research project program completed by taking MATH 6391 (three hours for project).
- 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 is an online synchronous program 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, 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:

- 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.
- Undergraduate GPA of at least 3.0 in upper-level Mathematics courses.
- 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) or have an overall undergraduate GPA of 3.25 or higher.
- Two letters of recommendation
- 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

Students who do not have a background in math may need to take leveling coursework.

MATH 5390 | Survey of Topics in Mathematics | 3 |

### Required Courses - 18 Hours

MATH 6330 | Linear Algebra | 3 |

MATH 6331 | Algebra I | 3 |

MATH 6352 | Analysis I | 3 |

MATH 6360 | Ordinary Differential Equations | 3 |

MATH 6361 | Partial Differential Equations | 3 |

MATH 6375 | Numerical Analysis | 3 |

### Prescribed Electives - 6 Hours

Choose two from the following:

MATH 6340 | Computing for Mathematical and Data Sciences | 3 |

MATH 6353 | Analysis II | 3 |

MATH 6362 | Fourier Analysis | 3 |

MATH 6363 | Integrable Systems | 3 |

MATH 6365 | Probability and Statistics | 3 |

MATH 6366 | Micro-local Analysis | 3 |

MATH 6367 | Functional Analysis | 3 |

MATH 6369 | Mathematical Methods | 3 |

MATH 6371 | Differential Geometry | 3 |

MATH 6376 | Numerical Methods for Partial Differential Equations | 3 |

MATH 6377 | Mathematical Fluid Mechanics | 3 |

MATH 6378 | Inverse Problem and Image Reconstruction | 3 |

STAT 6379 | Stochastic Processes | 3 |

### Free Electives - 6 Hours

Any two 6000-level course in the School of Mathematical and Statistical Sciences not fulfilling other program requirements.

### Non-thesis Option

#### Project - 6 Hours

MATH 6391 | Master's Project | 3 |

Additional 3 hours of prescribed electives | 3 |

#### OR

Additional 6 hours of prescribed electives | ||

And | ||

Written Comprehensive Exam | ||

Or | ||

Oral Comprehensive Exam |

### Thesis Option

#### Thesis – 6 Hours

MATH 7300 | Thesis I | 3 |

MATH 7301 | Thesis II | 3 |

Total Credit Hours: 36