# Mathematics, MA

**Department of Mathematics, College of Arts & Sciences**

### Vision Statement

The Master of Arts in Mathematics is designed to achieve two objectives:

- Provide a strong program of course work in mathematics beyond the undergraduate level and
- Be flexible enough to accommodate a wide variety of student interests and backgrounds. There are no required courses in the program, but students are strongly encouraged to develop an emphasis in the courses which make up their individual plan of study; such an emphasis provides both focus and depth in the graduate experience.

Whatever their objectives in their graduate programs, students should form a close working relationship with a faculty member having similar mathematical interests as soon as possible. This will ensure good advice in planning a coherent plan of study. In addition, an advisor may be able to suggest special topics courses, independent study, or the thesis option which could all be used to pursue one's interests in greater depth.

Finally, students who plan to pursue a doctoral degree in mathematics should include a sequence in analysis and a sequence in algebra in their plans of study.

### Program Contact Information

Dr. Andrew Swift, GPC

Durham Science Center (DSC) 237

402-554-3637

aswift@unomaha.edu

### Program Website

### Other Program Related Information

#### Graduate Assistantships

The mathematics department annually awards graduate assistantships for work within the department. There are also several joint UNO/MCC positions where the teaching assignments are at Metropolitan Community College. All of these positions pay an annual stipend plus a waiver of tuition. For the details of the nature of the work, please visit the assistantships page of the math department website.

## Admissions

### Application Deadlines

- Fall: July 31
- Spring: November 30
- Summer: April 15

### Program-Specific Requirements

For unconditional admission, an applicant should:

- Have completed a bachelor's degree with a grade point average of at least 3.0 in mathematics courses taken.
- Have completed 15 credit hours of mathematics courses beyond calculus, including MATH 3230/MATH 8235 or equivalent.
- Students lacking the 15 credit hours beyond calculus may be eligible for admission in a provisional or unclassified status with a deficiency to be made up in addition to the degree requirements listed.
- Students who satisfy the admission requirements in (1) above except for the GPA requirement may be granted provisional admission to the graduate program. They will be granted unconditional admission upon completion of 12 graduate hours with a grade of "B" or better in each course.
- International applicants must satisfy the Graduate College's English Proficiency Examination Requirement. While individual programs may require a higher score, the UNO Graduate Council has set a minimum score for admission to graduate studies of 550 written TOEFL, 80 internet-based TOEFL, 6.5 IELTS, or 53 PTE, with no exceptions to this policy.

## Degree Requirements

### Required Courses

There are no required courses. Choose mathematics courses with a MATH or STAT prefix numbered 8000 or above and ending in the digit zero or six, excluding MATH 8880. At least fifteen of these hours must be in courses with a number ending in the zero digit. These fifteen hours may include the six hours of thesis, MATH 8990, and three hours of independent study, MATH 8970.

### Electives

Since all courses are electives with the exception of the six thesis credit hours, all courses taken must satisfy the above requirements for the 30 credit hours. Up to 12 hours of graduate work electives may be taken in areas related to mathematics such as physics, computer science, and economics, if permission is obtained from the Graduate Program Committee.

### Exit Requirements

Students are required to take 6 hours of MATH 8990. All candidates should carefully review the Graduate College requirements for forming the Supervisory Committee, Thesis/Thesis Equivalent Proposal Approval Forms, and final approval and submission of the thesis.

### Concentrations

Students may choose (although there is no requirement to do so) to add a concentration. There are currently three available concentrations. For information about the requirements of each concentration, click on the links below:

Mathematics, MA with Computational Mathematics Concentration

Mathematics, MA with Operations Research Concentration

Mathematics, MA with Statistics Concentration

**Total Credit Hours: 30**

## Concentrations

### Computational Mathematics Concentration

Code | Title | Credits |
---|---|---|

Core Courses | ||

Select at least 5 of the following: | 15 | |

INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS ^{1} | ||

PARTIAL DIFFERENTIAL EQUATIONS | ||

NUMERICAL ANALYSIS I | ||

NUMERICAL ANALYSIS II | ||

FINITE ELEMENT METHODS FOR SOLVING ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS ^{1} | ||

INDEPENDENT GRADUATE STUDIES | ||

Electives | ||

Select at least 9 credit hours of courses related to computational mathematics (see below). | 9 | |

MATH 8990 | THESIS | 6 |

Total Credits | 30 |

^{1} | Students who were undergraduates at UNO and took MATH 4330, or MATH 4400 may not take MATH 8336 or MATH 8406 at the graduate level. Students will replace these requirements with additional elective courses. |

#### Electives

At least 9 credit hours of courses related to computational mathematics. Students must have at least 15 hours of courses ending on 0, including the core courses and the 6 hours of thesis, MATH 8990.

Some suggested courses are provided below. Other elective courses may be possible with the prior permission of the graduate program chair.

If any of the core course requirements were waived, then additional electives should be taken in their place.

Code | Title | Credits |
---|---|---|

MATH 8356 | ORDINARY DIFFERENTIAL EQUATIONS ^{1} | 3 |

MATH 8056 | LINEAR ALGEBRA ^{1} | 3 |

MATH 8236 | MATHEMATICAL ANALYSIS I ^{1} | 3 |

MATH 8246 | MATHEMATICAL ANALYSIS II ^{1} | 3 |

MATH 8276 | COMPLEX VARIABLES ^{1} | 3 |

MATH 8400 | DYNAMICAL SYSTEMS AND CHAOS | 3 |

MATH/CSCI 8766 | TOPICS IN MODELING | 3 |

MATH 8970 | INDEPENDENT GRADUATE STUDIES | 1-3 |

^{1} | Students who were undergraduates at UNO and took MATH 4350, MATH 4050, MATH 4230, MATH 4240 or MATH 4270 may not take MATH 8356, MATH 8056, MATH 8236, MATH 8246, or MATH 8276 at the graduate level. |

#### Exit Requirement

Students are required to take 6 hours of MATH 8990. All candidates should carefully review the Graduate College requirements for forming the Supervisory Committee, Thesis/Thesis Equivalent Proposal Approval Forms, and final approval and submission of the thesis.

### Operations Research Concentration

Code | Title | Credits |
---|---|---|

Core Courses | ||

Select at least 5 of the following: | 15 | |

DETERMINISTIC OPERATIONS RESEARCH MODELS ^{1} | ||

PROBABILISTIC OPERATIONS RESEARCH MODELS ^{1} | ||

COMPUTATIONAL OPERATIONS RESEARCH ^{1} | ||

LINEAR PROGRAMMING | ||

NETWORK PROGRAMMING | ||

INTEGER PROGRAMMING | ||

Electives | ||

Select at least 9 credit hours of courses related to operations research (see below). | 9 | |

MATH 8990 | THESIS | 6 |

Total Credits | 30 |

^{1} |

#### Electives

At least 9 credit hours of courses related to operations research. Students must have at least 15 hours of courses ending on 0, including the core courses and the 6 hours of thesis, MATH 8990.

Some suggested courses are provided below. Other elective courses may be possible with the prior permission of the graduate program chair.

If any of the core course requirements were waived, then additional electives should be taken in their place.

Code | Title | Credits |
---|---|---|

MATH/CSCI 8520 | ADVANCED TOPICS IN OPERATIONS RESEARCH | 3 |

MATH 8746 | INTRODUCTION TO PROBABILITY AND STATISTICS I ^{1} | 3 |

MATH 8756 | INTRODUCTION TO PROBABILITY AND STATISTICS II ^{1} | 3 |

MATH 8650 | INTRODUCTION TO PROBABILITY MODELS | 3 |

MATH/CSCI 8156 | GRAPH THEORY & APPLICATIONS ^{1} | 3 |

STAT 8416 | INTRODUCTION TO DATA SCIENCE ^{1} | 3 |

STAT 8426 | EXPLORATORY DATA VIZUALIZATION AND QUANTIFICATION ^{1} | 3 |

STAT 8436 | LINEAR MODELS ^{1} | 3 |

STAT 8446 | TIME SERIES ANALYSIS ^{1} | 3 |

MATH 8970 | INDEPENDENT GRADUATE STUDIES | 1-3 |

^{1} | Students who were undergraduates at UNO and took MATH 4740, MATH 4750, MATH 4150, STAT 4410, STAT 4420, STAT 4430, or STAT 4440 may not take MATH 8746, MATH 8756, MATH 8156, STAT 8416, STAT 8426, STAT 8436, or STAT 8446 at the graduate level. |

#### Exit Requirement

Students are required to take 6 hours of MATH 8990. All candidates should carefully review the Graduate College requirements for forming the Supervisory Committee, Thesis/Thesis Equivalent Proposal Approval Forms, and final approval and submission of the thesis.

### Statistics Concentration

Code | Title | Credits |
---|---|---|

Core Courses | ||

MATH 8746 | INTRODUCTION TO PROBABILITY AND STATISTICS I ^{1} | 3 |

MATH 8756 | INTRODUCTION TO PROBABILITY AND STATISTICS II ^{1} | 3 |

STAT 8436 | LINEAR MODELS ^{1} | 3 |

STAT 8710 | DESIGN AND ANALYSIS OF EXPERIMENTS | 3 |

Electives | ||

Select at least 12 credit hours of courses with a statistical nature (see below) | 12 | |

MATH 8990 | THESIS | 6 |

Total Credits | 30 |

^{1} | Students who were undergraduates at UNO and took MATH 4740, MATH 4750, or STAT 4430 may not take MATH 8746, MATH 8756, or STAT 8436 at the graduate level. Students will replace these requirements with additional elective courses. |

#### Electives

At least 12 credit hours of courses with a statistical nature, with at least 6 credit hours of courses ending in 0.

Some suggested courses are provided below. Other elective courses may be possible with the prior permission of the graduate program chair.

If any of the core course requirements were waived, then additional electives should be taken in their place.

Code | Title | Credits |
---|---|---|

STAT 8700 | BAYESIAN STATISTICS | 3 |

STAT 8446 | TIME SERIES ANALYSIS ^{1} | 3 |

MATH 8650 | INTRODUCTION TO PROBABILITY MODELS | 3 |

MATH/CSCI 8316 | PROBABILISTIC OPERATIONS RESEARCH MODELS ^{1} | 3 |

ISQA 8160 | APPLIED DISTRIBUTN FREE STATS | 3 |

ECON 8310/BSAD 8080 | BUSINESS FORECASTING | 3 |

MATH 8670 | TOPICS IN PROBABILITY AND STATISTICS | 3 |

MATH/CSCI 8766 | TOPICS IN MODELING | 3 |

STAT 8416 | INTRODUCTION TO DATA SCIENCE ^{1} | 3 |

STAT 8426 | EXPLORATORY DATA VIZUALIZATION AND QUANTIFICATION ^{1} | 3 |

MATH 8970 | INDEPENDENT GRADUATE STUDIES | 1-3 |

^{1} | Students who were undergraduates at UNO and took MATH 4310, STAT 4410, STAT 4420, or STAT 4440 may not take MATH 8316, STAT 8416, STAT 8426 or STAT 8446 at the graduate level. |