# MS in Mathematics

## Admission Requirements

Transcripts of all undergraduate and any graduate work must be submitted. In addition to the Graduate College minimum requirements, applicants must meet the following program requirements:

**Baccalaureate Field**Mathematics or a related field. Applicants must have 20 semester hours of undergraduate work in mathematics beyond calculus. Additional requirements vary by area as noted in each section.**Grade Point Average**At least 3.00/4.00 for the final 60 semester hours (90 quarter hours) of undergraduate study, and an average of 3.00 in all mathematics courses beyond calculus.**Tests Required**GRE General. The GRE Subject Test (in Mathematics or in Computer Science, depending on the area of interest) is highly recommended but not required**Minimum English Competency Test Score****TOEFL**100, with subscores of Reading 19, Listening 17, Speaking 20, and Writing 21 (iBT Test); 60, with subscores of Reading 19, Listening 17, Writing 21 (revised Paper-Delivered Test),**OR**,**IELTS**7.0, with subscores of 7.0 for all four subscores,**OR,****PTE-Academic**54, with subscores of Reading 51, Listening 47, Speaking 53, and Writing 56.

**Letters of Recommendation**Three required from persons familiar with the applicant’s academic work.**Personal Statement**Required.**Prerequisites***Concentration in Pure Mathematics:**Concentration in Applied Mathematics:**Concentration in Mathematical Computer Science:*- Data Structures (MCS 360 or equivalent) or Symbolic Computation (MCS 320 or equivalent)
- Discrete Mathematics (MCS 361 or equivalent)
- Linear Algebra (MATH 310 or MATH 320, or equivalent)
- Experience in programming and computing: the successful applicant will show proficiency in all requirements above, either through course work or relevant work experience.

## Degree Requirements

In addition to the Graduate College minimum requirements, students must meet the following program requirements:

**Minimum Semester Hours Required**32.**Course Work**At least 24 hours must be in mathematics courses, of which 12 hours must be at the 500-level. The student must complete a course of study in one of the following concentrations or, in exceptional cases approved by the Graduate Studies Committee, a general program of study without a concentration can be followed.

### Concentration in Pure Mathematics

Code | Title | Hours |
---|---|---|

Concentration Requirements | ||

Analysis II | ||

or MATH 533 | Real Analysis I | |

Complex Analysis with Applications | ||

Abstract Algebra II | ||

or MATH 516 | Second Course in Abstract Algebra I | |

Select at least two additional courses from: | ||

Formal Logic I | ||

Foundations of Number Theory | ||

Differential Geometry of Curves and Surfaces | ||

Introduction to Topology I | ||

Second Course in Abstract Algebra II | ||

Real Analysis I | ||

Remaining courses to be selected in consultation with an advisor. Other courses may be substituted with the permission of the director of graduate studies. | ||

Students must do one of the following: Pass a written comprehensive examination in pure mathematics or write a thesis and pass an oral defense. |

### Concentration in Applied Mathematics

Code | Title | Hours |
---|---|---|

Concentration Requirements | ||

Complex Analysis with Applications | ||

Numerical Analysis | ||

Applied Partial Differential Equations | ||

Select at least one course from: | ||

Analysis II | ||

Applied Differential Equations | ||

Functional Analysis I | ||

Classical Methods of Partial Differential Equations | ||

Ordinary Differential Equations | ||

Numerical Analysis of Partial Differential Equations | ||

Remaining courses to be selected in consultation with an advisor. Other courses may be substituted with the permission of the director of graduate studies. | ||

Students must do one of the following: Pass a written comprehensive examination in applied mathematics or write a thesis and pass an oral defense. |

### Concentration in Mathematical Computer Science

Code | Title | Hours |
---|---|---|

Concentration Requirements | ||

Computer Algorithms I | ||

or MCS 441 | Theory of Computation I | |

Combinatorics | ||

or MCS 423 | Graph Theory | |

Numerical Analysis | ||

or MCS 481 | Computational Geometry | |

Remaining courses to be selected in consultation with an advisor. Other courses may be substituted with permission of the director of graduate studies. | ||

Students must do one of the following: Pass a written comprehensive examination in mathematical computer science or write a thesis and pass an oral defense. |

### Other Requirements

**Comprehensive Examination**Optional. Students who do not pass a written comprehensive examination must complete a thesis.**Thesis, Project, or Course-Work-Only Options**Thesis or course work only (with written comprehensive examination). No other options are available.