# Graduate Advising Information

Admission Requirements |
Degree Requirements |

Recent Masters Theses |
Graduate Minor in Math |

### Admission Requirements

**Master of Science (M.S.) / Master of Arts (M.A.) in Mathematics**

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 3230/8235 (Introduction to Analysis) or equivalent.

- Applicants who satisfy the admission requirements above except for the GPA requirement may be granted provisional admission to the graduate program. They will be granted unconditional admission upon completion of three graduate courses with a grade of B or better in each course.

- Applicants who satisfy the admission requirements above except for 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 normal degree requirements.

**Master of Arts for Teachers (M.A.T.) in Mathematics**

For unconditional admission, an applicant should:

- have taken a programming language at the college level.
- have state certification for teaching secondary school mathematics.
- have obtained at least a B average in previous mathematics courses, including at least two courses beyond elementary calculus.

### Degree Requirements

**Master of Science (M.S.) in Mathematics**

- Earn a total of 36 acceptable credits, at least 24 of which must be in Mathematics.
- Choose Mathematics courses with a number of 8000 or above and ending in the digit zero or six, excluding 8010, 8020, 8040, and 8880. At least 18 of these credit hours must be courses with a number ending in a zero digit.
- Choose no more than 6 hours of independent study, although interested students are encouraged to petition the Graduate Program Committee to take additional hours of independent study to supplement existing course work.
- Maintain a B average in all course work with no grade lower than a C.
- Up to 12 hours of graduate work may be taken in other areas related to Mathematics, such as Physics or Computer Science, with the permission of the Graduate Program Committee. Such work may not count toward the 18 hours described in b) above. Such courses must also be at the 8000 level or above and end in the digit zero or six.
- Pass a written comprehensive examination based on three related courses (one of which must have a number ending in a zero digit) which consists of two parts. The first part is a 3-hour examination which may be open book. The second part is a one-week take-home examination. The examination is normally taken in the semester immediately preceding graduation and should be scheduled well in advance of the graduate college deadlines. To schedule your exam, please complete the Comprehensive Exam Request form below at least 4 weeks prior to your preferred exam dates.

- MS Comprehensive Exam Request Form (If link gives you a permission error, click here)

**Master of Arts (M.A.) in Mathematics**

- Earn a total of 30 acceptable credits.
- Must complete 6 hours of thesis, which may be applied towards the 30-hour total.
- Choose Mathematics courses with a number of 8000 or above and ending in the digit zero or six and excluding 8010, 8020, 8040, 8806, and 8880. At least 15 of these credit hours must be courses with a number ending in a zero digit. These 15 hrs. may include the 6 hrs. of thesis, and 3 hours of independent study, MATH 8970.
- Up to 12 hours of graduate work may be taken in other areas related to Mathematics, such as Physics or Computer Science, with the permission of the Graduate Program Committee. Such work may not count toward the 12 hours described in 3) above. Such courses must also be at the 8000 level or above and end in the digit zero or six.
- Maintain a B average in all course work with no grade lower than C.
- Pass a comprehensive exam including an oral defense of the thesis.

**Master of Arts for Teachers (M.A.T.) in Mathematics**

- Earn a total of 36 acceptable credits in Mathematics (MATH) courses, Mathematics for Teachers (MTCH) courses, and Education (TED) courses, only 9 credits may come from education courses.
- Complete the Mathematics for Teachers (MTCH) sequence: MTCH 8020, MTCH 8030, and MTCH 8040.
- Complete two advisor approved Mathematics (not MTCH) sequence of courses. Each sequence must consist of 3 connected courses (as defined by the MAT advisors). For example: Applied Modern Algebra, Algebra 1, and Algebra 2. If one of the courses has been taken previously as an undergraduate the course will not count toward the 36 credits, however, it will count in terms of completing the three course sequence. Such a situation would in effect enable the MAT student to finish the 3 course sequence quicker and free up 1 class for an elective in mathematics.
- Complete an advisor approved sequence of 3 education courses for graduate students only (9 credits).The courses do not have to be connected in any way, but they can be.
- For both the Education sequence and the MTCH sequence, MAT students must complete one major project (20 hours) above and beyond the typical course requirements. Typically the Education project is an extension of one of the three courses in the Education sequence. Similarly, the MTCH project is an extension of one of the MTCH courses. MAT students should contact the instructors of a course of their choice to decide on and complete these projects. The final projects are presented to the MAT committee for approval. The MAT committee will meet to review projects on September 15th (or nearest weekday) and February 15th (or nearest weekday) of each calendar year.
- Pass the Mathematics comprehensive examination. The examination is offered three times a year; on April 15th, July 15th, and November 15th (or the proceeding Friday if any of these dates falls on a weekend). The Mathematics exam is three hours in length and covers the terminal course of each of the 2 Mathematics sequences of courses for #3 above. Each course instructor will write a 1.5 hour exam and grade the exam pass or fail. To pass the Mathematics comprehensive exam, the student must pass both.

### Graduate Minor in Mathematics

### Recent Masters Theses

Below is a list of recent masters theses advised by mathematics department faculty. Click on the thesis title for the abstract. For those with appropriate access to ProQuest (including all UNO members) the full text of each thesis is also available.

**2018:**

- Audra Kruse, Impact of Health Practices on the Spread of Viruses: A Boolean Network Approach, Adviser: Dora Matache

**2016:**

- Godfred Amoah, Approximating the distribution of the sum of independent and dependent Bernoulli random variables with an application to the two state Markov chain, Adviser: Steve From

**2015:**

- Naif Alghamdi, Confidence Intervals for Ratios of Multinomial Proportions, Adviser: Steve From
- Tyler Brown, Some new closed-form small-sample estimators for the Linear Failure Rate and Birnbaum-Saunders distributions, Adviser: Steve From
- Bryan Johnson, Continuous and Discontinuous Galerkin Finite Element Methods for Stochastic Differential Equations, Adviser: Mahboub Baccouch
- Suthakaran Ratnasingam, Statistical Modelling for Extreme Precipitation in Sri Lanka, Adviser: Steve From
- Andrew Tew, A Ratio-based Method for Predicting Point Differentials in Sports, Adviser: Andrew W. Swift

**2014:**

- Amanda Ludes, Phase transition of heterogeneous Boolean networks, Adviser: Dora Matache

**2013:**

- Melissa Emory, Exploring the Diophantine equation Ax
^{4}+ By^{4}= Cz^{4}in quadratic fields, Adviser: Griff Elder

**2012:**

- Kayse Jansen, Phase transition of Boolean networks with partially nested canalizing functions, Adviser: Dora Matache
- Nirosha Rathnayake, Approximation of Expected Values of Non-Linear Functions of Random Variables, Adviser: Steve From
- Rodney Tembo, Asymptotic Confidence Intervals for Certain Functions of Population Moments, Adviser: Steve From
- Jason Wohlgemuth, Small World Properties of Facebook Group Networks, Adviser: Dora Matache

**2011:**

- Elizabeth Ball, Dynamic Spread of Social Behavior in Boolean Networks, Adviser: Dora Matache
- Bingyong Deng, Approximations and bounds for the extinction probability of a Galton-Watson branching process, Adviser: Steve From
- Beichen Wang, Approximating Discrete Distributions Using Rational Functions, Adviser: Steve From

**2010:**

- Aziz Inoyatov, Information theory and the stock market, Adviser: Vyacheslav Rykov
- Joseph Lee, Paradoxical decompositions of groups and the sets they act upon, Adviser: Andrzej Roslanowski
- Li Westman, A new classification model based on two Choquet integrals, Adviser: Zhenyuan Wang

**2009:**

- Hashim Algafly, Application of Polya's Theorem to some special compounds of chemical graph theory, Adviser: John Konvalina
- Jay Pedersen, Verifying an algorithm for defining biological entities for use in a Boolean Network, Adviser: John Konvalina

**2008:**

- Rebecca Pitz, Quantifying degrees of randomness in word rhythms of literary works, Adviser: John Konvalina