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 (Spring 2021, Summer 2021, and Fall 2021)
 Fall: July 31
 Spring: November 30
 Summer: April 15
ProgramSpecific 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.

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 United States, OR a baccalaureate or other advanced degree from a predetermined 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 internetbased 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 oneweek takehome examination. The second part is a 3hour 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 'realworld' 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 85 will not count towards the MS degree in Mathematics.
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 LINEAR ALGEBRA  
NUMERICAL DIFFERENTIAL EQUATIONS  
THE FINITE ELEMENT METHOD ^{1}  
INDEPENDENT GRADUATE STUDIES  
Electives  
Select at least 21 credit hours of courses related to computational mathematics (see below).  21  
Total Credits  36 
^{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 can replace these requirements with additional elective courses. 
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.
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 ANALYSIS ^{1}  3 
MATH 8400  DYNAMICAL SYSTEMS AND CHAOS  3 
MATH/CSCI 8766  TOPICS IN APPLIED MATHEMATICS  3 
MATH 8970  INDEPENDENT GRADUATE STUDIES  13 
^{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 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 oneweek takehome examination. The second part is a 3hour 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
Code  Title  Credits 

Introductory Courses  
MATH 8746  INTRODUCTION TO PROBABILITY AND STATISTICS I ^{1}  3 
MATH 8756  INTRODUCTION TO PROBABILITY AND STATISTICS II ^{1}  3 
Core Courses  
STAT 8416  INTRODUCTION TO DATA SCIENCE ^{2}  3 
STAT 8426  EXPLORATORY DATA VISUALIZATION AND QUANTIFICATION ^{2}  3 
MATH/CSCI 8306  DETERMINISTIC OPERATIONS RESEARCH MODELS ^{2}  3 
Approved Electives  
Select at least 15 credit hours from the following: ^{3}  15  
PROBABILISTIC OPERATIONS RESEARCH MODELS ^{4}  
LINEAR PROGRAMMING  
NETWORK PROGRAMMING  
INTEGER PROGRAMMING  
INTRODUCTION TO PROBABILITY MODELS  
TOPICS IN PROBABILITY AND STATISTICS  
LINEAR MODELS ^{4}  
TIME SERIES ANALYSIS ^{4}  
INTRODUCTION TO MACHINE LEARNING AND DATA MINING ^{4}  
BAYESIAN STATISTICS  
DESIGN AND ANALYSIS OF EXPERIMENTS  
RELIABILITY THEORY  
INDEPENDENT GRADUATE STUDIES  
BUSINESS FORECASTING  
ECONOMETRICS  
DATA MINING: THEORY AND PRACTICE  
STAT/MATH 8960  MASTER'S PROJECT  6 
Total Credits  36 
^{1}  Students who were undergraduates at UNO and took MATH 4740 or MATH 4750 may not take MATH 8746 or MATH 8756. For those students who can demonstrate previous statistical exposure can appeal to the graduate program chair to waive the MATH 8746/MATH 8756 requirements. Students can replace these requirements with additional elective courses. 
^{2}  Students who were undergraduates at UNO and took STAT 4410, STAT 4420, or MATH 4300 may not take STAT 8416, STAT 8426, or MATH 8306 at the graduate level. Students can replace these requirements with additional elective courses. 
^{3}  If any of the introductory or core course requirements were waived, then additional electives should be taken in their place. Other elective courses may be possible with the prior permission of the graduate program chair. 
^{4}  Students who were undergraduates at UNO and took MATH 4310, STAT 4430, or STAT 4440 may not take MATH 8316, STAT 8436, or STAT 8446 at the graduate level. 
Exit Requirement
Each student is required to complete a project involving working with realworld 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
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 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 Credits  36 
^{1}  Students who were undergraduates at UNO and took MATH 4300, MATH 4310, or MATH 4320 may not take MATH 8306, MATH 8316, or MATH 8326 at the graduate level. Students can replace these requirements with additional elective courses. 
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.
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 VISUALIZATION AND QUANTIFICATION ^{1}  3 
STAT 8436  LINEAR MODELS ^{1}  3 
STAT 8446  TIME SERIES ANALYSIS ^{1}  3 
MATH 8970  INDEPENDENT GRADUATE STUDIES  13 
^{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 Requirements
Code  Title  Credits 

Comprehensive Examination or  
MATH/STAT 8960  MASTER'S PROJECT  6 
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 oneweek takehome examination. The second part is a 3hour 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 'realworld' 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
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 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 Credits  36 
^{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 can replace these requirements with additional elective courses. 
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.
Code  Title  Credits 

STAT 8700  BAYESIAN STATISTICS  3 
STAT 8720  RELIABILITY THEORY  3 
STAT 8446  TIME SERIES ANALYSIS ^{1}  3 
MATH 8650  INTRODUCTION TO PROBABILITY MODELS  3 
MATH 8670  TOPICS IN PROBABILITY AND STATISTICS  3 
MATH/CSCI 8316  PROBABILISTIC OPERATIONS RESEARCH MODELS ^{1}  3 
STAT 8416  INTRODUCTION TO DATA SCIENCE ^{1}  3 
STAT 8426  EXPLORATORY DATA VISUALIZATION AND QUANTIFICATION ^{1}  3 
MATH 8970  INDEPENDENT GRADUATE STUDIES  13 
ISQA 8160  APPLIED DISTRIBUTION FREE STATISTICS  3 
ECON 8310/BSAD 8080  BUSINESS FORECASTING  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. 
Exit Requirements
Code  Title  Credits 

Comprehensive Examination or  
STAT/MATH 8960  MASTER'S PROJECT  6 
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 oneweek takehome examination. The second part is a 3hour 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 'realworld' 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.