Mathematics, MS

Department of Mathematics, College of Arts & Sciences

Vision Statement

The Master of Science 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, DSc, Graduate Program Chair (GPC)
237 Durham Science Center (DSC)
402.554.3637
aswift@unomaha.edu

Program Website

Other Program Related Information

Graduate Assistantships

The Department of Mathematics 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 Department of Mathematics website.

Admissions

Application Deadlines

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

Program-Specific Requirements

For unconditional admission, an applicant should:

  1. Have completed a bachelor's degree with a grade point average of at least 3.0 in mathematics courses taken.
  2. Have completed 15 credit hours of mathematics courses beyond calculus, including MATH 3230/MATH 8235 or equivalent.
  3. 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.
  4. 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.
  5. Applicants are required to have a command of oral and written English.  Those who do not hold a baccalaureate or other advanced degree from the U.S., OR a baccalaureate or other advanced degree from a pre-determined country on the waiver list, must meet the minimum language proficiency score requirement in order to be considered for admission.  Applicants should receive a minimum score for admission of 550 written TOEFL, 80 internet-based TOEFL, 6.5 IELTS, or 53 PTE.

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 eighteen of these hours must be in courses with a number ending in a zero digit. These eighteen hours may include three hours of independent study, MATH 8970. Courses numbered 8xx5 will not count towards the MS degree in Mathematics.

If the project option is chosen, the six required hours of MATH 8960 or STAT 8960 will count towards the overall credit hour total, and the required eighteen hours of courses ending in a zero digit.

If a student chooses to add a concentration to their degree program (see below) then there will be specific courses that will be needed to be completed to fulfill the concentration requirements.

Electives

Since there are no required courses, all courses are electives which must satisfy the requirements given above for the 36 credit hours. Up to 12 hours of graduate work electives may be taken in areas related to mathematics, physics, computer science, and economics, if permission is obtained from the Graduate Program Committee.

Exit Requirements

Select One:

  • Comprehensive Examination
    • The comprehensive examination is based on three related courses (one of which must have a number ending in a zero digit) consisting of two parts. The first part is a one-week take-home examination. The second part is a 3-hour examination which may be open book, at the discretion of the instructor(s). The examination is normally taken in the student's final semester and should be scheduled well in advance of the graduate college deadlines.
  • Project
    • A mathematical or statistical project undertaken under the supervision of both a faculty advisor and an external (industry) advisory. The purpose of the project is for the student to work on a 'real-world' problem. The student will produce a written report and give an oral presentation of their work. Students are required to register for 6 hours of MATH 8960 or STAT 8960.

Concentrations

Students may choose (although there is no requirement to do so) to add a concentration to their Mathematics MS degree. There are currently four available concentrations:

Mathematics, MS with Computational Mathematics Concentration
Mathematics, MS with Data Science Concentration
Mathematics, MS with Operations Research Concentration
Mathematics, MS with Statistics Concentration 

Total Credit Hours: 36

Concentrations

Courses numbered 8--5 will not count towards the MS degree in Mathematics.

Computational Mathematics Concentration

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 21 credit hours of courses related to computational mathematics (see below).21
Total Credits36

Electives

At least 21 credit hours of courses related to computational mathematics. Students must have at least 18 hours of courses ending on 0, including the core courses.

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.

MATH 8356ORDINARY DIFFERENTIAL EQUATIONS 13
MATH 8056LINEAR ALGEBRA 13
MATH 8236MATHEMATICAL ANALYSIS I 13
MATH 8246MATHEMATICAL ANALYSIS II 13
MATH 8276COMPLEX VARIABLES 13
MATH 8400DYNAMICAL SYSTEMS AND CHAOS3
MATH/CSCI 8766TOPICS IN MODELING3
MATH 8970INDEPENDENT GRADUATE STUDIES1-3

Exit Requirements

Comprehensive Examination

The comprehensive examination is based on three related courses (one of which must have a number ending in a zero digit) consisting of two parts. The first part is a one-week take-home examination. The second part is a 3-hour examination which may be open book, at the discretion of the instructor(s). The examination is normally taken in the student's final semester and should be scheduled well in advance of the graduate college deadlines.

(Note: The project exit requirement is not available for those students wishing to complete the Computational Mathematics concentration, only the comprehensive exam exit requirement is allowed).

Data Science Concentration

Prerequisites

Some statistics and computer programming are highly recommended.

Required Courses

Introductory Courses
MATH 8746INTRODUCTION TO PROBABILITY AND STATISTICS I 13
MATH 8756INTRODUCTION TO PROBABILITY AND STATISTICS II 13
Core Courses
STAT 8416INTRODUCTION TO DATA SCIENCE 23
STAT 8426EXPLORATORY DATA VISUALIZATION AND QUANTIFICATION 23
MATH/CSCI 8306DETERMINISTIC OPERATIONS RESEARCH MODELS 23
Approved MATH/STAT Electives
Select at least three credit hours from the following: 33
PROBABILISTIC OPERATIONS RESEARCH MODELS 4
LINEAR PROGRAMMING
NETWORK PROGRAMMING
INTEGER PROGRAMMING
INTRODUCTION TO PROBABILITY MODELS
LINEAR MODELS 4
TIME SERIES ANALYSIS 4
INDEPENDENT GRADUATE STUDIES
Approved Electives from College of Business and College of IS&T
Select at least 12 credit hours from the following: 312
BUSINESS FORECASTING
MANAGING PERFORMANCE IN ORGANIZATIONS
BUSINESS ANALYTICS: MAKING SENSE OF DATA
SPECIAL TOPICS IN ECONOMICS
ECONOMETRICS
RESEARCH IN MIS
DATA COMMUNICATIONS
DATA MANAGEMENT
MANAGING THE I.S. FUNCTION
DATA MINING: THEORY AND PRACTICE
STAT/MATH 8960MASTER'S PROJECT6
Total Credits36

Exit Requirement

Each student is required to complete a project involving working with real-world data. The student will be advised by both a faculty and external advisor, and a completed written and oral report is required.

Students are required to sign up for 6 hours of MATH 8960 or STAT 8960.

(Note: The comprehensive exam exit requirement is not available for those students wishing to complete the Data Science concentration, only the project exit requirement is allowed).

Operations Research Concentration

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 one of the following (see below):21
For students choosing the comprehensive exam option, at least 21 credit hours of courses related to operations research
For students choosing the project option, at least 15 credit hours of courses related to operations research and 6 credit hours of MATH 8960
Total Credits36

Electives

For students choosing the comprehensive exam option, at least 21 credit hours of courses related to operations research.

For students choosing the project option, at least 15 credit hours of courses related to operations research.

Students must have at least 18 hours of courses ending on 0, including the core courses and, for those choosing the project option, the 6 hours of project, MATH 8960.

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.

MATH/CSCI 8520ADVANCED TOPICS IN OPERATIONS RESEARCH3
MATH 8746INTRODUCTION TO PROBABILITY AND STATISTICS I 13
MATH 8756INTRODUCTION TO PROBABILITY AND STATISTICS II 13
MATH 8650INTRODUCTION TO PROBABILITY MODELS3
MATH/CSCI 8156GRAPH THEORY & APPLICATIONS 13
STAT 8416INTRODUCTION TO DATA SCIENCE 13
STAT 8426EXPLORATORY DATA VISUALIZATION AND QUANTIFICATION 13
STAT 8436LINEAR MODELS 13
STAT 8446TIME SERIES ANALYSIS 13
MATH 8970INDEPENDENT GRADUATE STUDIES1-3

Exit Requirements

Comprehensive Examination or
MATH/STAT 8960MASTER'S PROJECT6

The comprehensive examination is based on three related courses (one of which must have a number ending in a zero digit) consisting of two parts. The first part is a one-week take-home examination. The second part is a 3-hour examination which may be open book, at the discretion of the instructor(s). The examination is normally taken in the student's final semester and should be scheduled well in advance of the graduate college deadlines.

A project undertaken under the supervision of both a faculty advisor and an external (industry) advisory. The purpose of the project is for the student to work on a 'real-world' problem using the skills learned during their coursework. The student will produce a written report and give an oral presentation of their work. Students are required to register for 6 hours of MATH 8960.

Statistics Concentration

Core Courses
MATH 8746INTRODUCTION TO PROBABILITY AND STATISTICS I 13
MATH 8756INTRODUCTION TO PROBABILITY AND STATISTICS II 13
STAT 8436LINEAR MODELS 13
STAT 8710DESIGN AND ANALYSIS OF EXPERIMENTS3
Electives
Select one of the following (see below):24
For students choosing the comprehensive exam option, at least 24 credit hours of courses with a statistical nature, with at least 15 hours of courses ending in 0
For students choosing the project option, at least 18 credit hours of courses with a statistical nature, with at least 9 hours of courses ending in 0. Six hours of MATH 8960 are required.
Total Credits36

Electives

For students choosing the comprehensive exam option, at least 24 credit hours of courses with a statistical nature, with at least 15 hours of courses ending in 0.

For students choosing the project option, at least 18 credit hours of courses with a statistical nature, with at least 9 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.

STAT 8700BAYESIAN STATISTICS3
STAT 8446TIME SERIES ANALYSIS 13
MATH 8650INTRODUCTION TO PROBABILITY MODELS3
MATH/CSCI 8316PROBABILISTIC OPERATIONS RESEARCH MODELS 13
ISQA 8160APPLIED DISTRIBUTION FREE STATISTICS3
ECON 8310/BSAD 8080BUSINESS FORECASTING3
MATH 8670/CSCI 8766TOPICS IN PROBABILITY AND STATISTICS3
STAT 8416INTRODUCTION TO DATA SCIENCE 13
STAT 8426EXPLORATORY DATA VISUALIZATION AND QUANTIFICATION 13
MATH 8970INDEPENDENT GRADUATE STUDIES1-3

Exit Requirements

Comprehensive Examination or
STAT/MATH 8960MASTER'S PROJECT6

The comprehensive examination is based on three related courses (one of which must have a number ending in a zero digit) consisting of two parts. The first part is a one-week take-home examination. The second part is a 3-hour examination which may be open book, at the discretion of the instructor(s). The examination is normally taken in the student's final semester and should be scheduled well in advance of the graduate college deadlines.

A statistical project undertaken under the supervision of both a faculty advisor and an external (industry) advisory. The purpose of the project is for the student to work on a 'real-world' problem. The student will produce a written report and give an oral presentation of their work.

Students are required to register for 6 hours of STAT 8960.