Mathematics, M.A.
The MA in Mathematics is offered in five areas of concentration: Mathematics, Applied Statistics, Actuarial Mathematics, Data Analytics, and Teaching College Mathematics. Course work must be approved by the Department of Mathematics and Statistics and must include certain courses as explained in the discussion of the concentrations.
Students who plan to continue to the PhD program in computational mathematics are urged to elect the concentration in mathematics. They may then use the doctoral qualifying examinations to satisfy the comprehensive examination requirement in the non-thesis option for the MA degree.
For information regarding deadlines and requirements for admission, please see the Guide to Graduate Admissions.
In addition to the application materials required by The Graduate School, applicants must submit a 500-700 word Personal Statement to be considered for admission.
Degree Program Requirements
Mathematics Concentration
Required: 30-33 credit hours
The mathematics concentration offers a 30 credit hour thesis or project option and a 33 credit hour coursework option. At least half the work credited towards the degree must be in 600-level or above courses: 15 credit hours for the 30-credit program, and 18 credit hours for the 33-credit program.
Code | Title | Credit Hours |
---|---|---|
Algebra or Analysis | 3 | |
Select one of the following: ^{*} | ||
Differential Equations and Orthogonal Systems | ||
Advanced Abstract Algebra | ||
Advanced Abstract Algebra | ||
Mathematical Analysis | ||
Mathematical Analysis | ||
Core Courses | 9 | |
Select at least 9 credits from the following. At least 6 of these credits must constitute a complete year-long sequence: | ||
Numerical Mathematics | ||
Numerical Mathematics | ||
Combinatorics | ||
Graph Theory | ||
Linear Algebra and Matrix Theory | ||
Linear Algebra and Matrix Theory | ||
Advanced Theory of Computation | ||
Foundations of Computer Science | ||
Advanced Theory of Computation | ||
Foundations of Computer Science | ||
Mathematical Logic and Axiomatic Set Theory | ||
Mathematical Logic and Axiomatic Set Theory | ||
Modern Abstract Algebra | ||
Computational Number Theory | ||
Complex Analysis | ||
Complex Analysis | ||
Real Analysis | ||
Real Analysis | ||
General Topology | ||
General Topology | ||
Approximation Theory | ||
Approximation Theory | ||
Mathematical Statistics | ||
Mathematical Statistics | ||
Electives | 12-21 | |
Select 12-21 credits of other 500-, 600-, or 700-level mathematical sciences courses with prior approval of the Director of Graduate Study | ||
Thesis, Project, or Comprehensive Examination (Capstone Experience) | 0-6 | |
Each candidate may elect to prepare a thesis or project, or pass a written comprehensive examination on his/her program of course work. |
* | Students who have had appropriate algebra or analysis courses as undergraduates may be exempted from this requirement upon approval by the Director of Graduate Study. In this case, these 3 hours must be replaced by 3 hours chosen in consultation with the Director of Graduate Study. |
Thesis, Project, or Comprehensive Examination (Capstone Experience)
The thesis or project option is a 30 credit hour program; the coursework option with a comprehensive exam is a 33 credit hour program.
Thesis (6 credits)
The candidate may prepare a thesis based on the investigation of a topic in mathematics. A thesis director will be appointed by the Department Head after consultation with the student and the Director of Graduate Study. Candidates may include up to 6 credits of thesis (MAT 699 Thesis) in the required 30 credit hours. An oral examination on the thesis is required.
Project in Mathematics (3 credits)
The candidate may prepare a project in mathematics based on in-depth investigation of a topic in mathematics. A project director will be appointed by the Department Head after consultation with the student and the Director of Graduate Study. Candidates may include 3 credits of project (MAT 687 Project in Mathematics) in the required 30 credit hours. A written report and an oral examination on the project are required.
Comprehensive Examination
A candidate who does not prepare a thesis must take 33 credit hours of coursework and pass a written comprehensive examination of his/her program. Please consult with the Director of Graduate Study for information concerning the comprehensive examination.
Applied Statistics Concentration
Required: 33 credit hours
Undergraduate prerequisites: Baccalaureate degree and the following courses or their equivalents: STA 290 Introduction to Probability and Statistical Inference, STA 301 Statistical Methods; MAT 191 Calculus I, MAT 292 Calculus II; and CSC 130 Introduction to Computer Science or CSC 230 Elementary Data Structures and Algorithms.
Code | Title | Credit Hours |
---|---|---|
Foundation Courses ^{*} | 7 | |
Introduction to Probability | ||
Introduction to Mathematical Statistics | ||
SAS System for Statistical Analysis | ||
Core Courses | 8 | |
Advanced Statistics in the Behavioral and Biological Sciences I | ||
Advanced Statistics in the Behavioral and Biological Sciences II | ||
Consulting Experience | ||
Graduate Seminar | ||
Statistics Electives | 6-9 | |
Select at least two of the following: | ||
Categorical Data Analysis | ||
Multivariate Analysis | ||
Statistical Linear Models I | ||
Statistical Linear Models II | ||
Advanced Experimental Design | ||
Sample Survey Methods | ||
Advanced Topics in Data Analysis and Quantitative Methods | ||
STA 711 | Experimental Course | |
Interdisciplinary Electives | 3-6 | |
Select 3-6 credits from any STA course at the 500-level or above or from the following: ^{**} | ||
Numerical Analysis and Computing | ||
Bioinformatics | ||
Predictive Data Mining | ||
Time Series and Forecasting | ||
Item Response Theory | ||
Exploratory and Confirmatory Factor Analytic Methods for Scale Construction | ||
Advanced Item Response Theory | ||
Structural Equation Modeling in Education | ||
Epidemiology | ||
Stochastic Processes | ||
Stochastic Processes | ||
Thesis or Project (Capstone Experience) | 3-6 | |
Each candidate must elect to prepare a thesis or project. Both options require 33 credit hours total. |
* | Students who have complete these courses as part of another degree prior to being accepted in the master's program will choose replacement courses. |
** | Student can earn the remaining credits required for the degree either by taking any STA courses at the 500 level or above (except STA 571 Statistical Methods for Research I) or by taking a maximum of 6 credits of approved graduate courses outside of statistics. |
Thesis or Project (Capstone Experience)
Each candidate must elect to prepare a thesis or project. Both options require 33 hours.
Thesis (6 credits)
The candidate may prepare a thesis based on the investigation of a topic in statistics. A thesis director will be appointed by the Department Head after consultation with the student and the Director of Graduate Study. Candidates will include 6 credits of thesis (STA 699 Thesis) or 3 credits of STA 698 Project in Statistics and 3 credits of STA 699 in the required 33 credit hours. An oral examination on the thesis is required.
Project (3 credits)
A candidate who does not prepare a thesis must complete a project under the direction of an advisor chosen by the Director of Graduate Study in consultation with the student. 3 credits of STA 698 Project in Statistics will be included in the 33 credit hour program.
Actuarial Mathematics Concentration
Required: 30 credit hours
The MA in Mathematics with concentration in Actuarial Mathematics provides students wishing to pursue a career in actuarial science a solid foundation in Applied Probability and Statistical Models and their applications in the area of actuarial science. It is designed to help students pass the preliminary actuarial exams while providing educational experiences related to the actuarial field. Students will be encouraged to seek internship opportunities during the summer. The concentration requires 30 credit hours and is offered with an optional project. At least 15 credits must be at the 600-level or above.
The target student population for this program will be students with a bachelor's degree in mathematics, statistics, economics, finance, or a related field who want to pursue an actuarial industry to advance their career.
Code | Title | Credit Hours |
---|---|---|
Required Foundations and Methods Courses | 12 | |
Introduction to Probability | ||
Introduction to Mathematical Statistics | ||
Applied Probability Models | ||
Financial Mathematics for Actuaries | ||
Elective Courses | 15-18 | |
Select at least 9 credits of Actuarial exam and Applied Statistics: | ||
Actuarial Models I | ||
Actuarial Models II | ||
Actuarial Exam Preparation Seminar | ||
Theory of Linear Regression | ||
Theory of Time Series | ||
Analysis of Survival Data | ||
Other Applied Statistics Courses | ||
Select at most 6 credits from any other STA 600-level courses or the following: ^{*} | ||
Microeconomics | ||
Macroeconomics | ||
Organizing Data for Analytics | ||
Principles of Predictive Analytics | ||
Financial and Managerial Accounting | ||
Financial Management | ||
Capstone Course | 3 | |
Project in Statistics |
* | Excluding the STA 600 courses listed above and STA 651 Mathematical Statistics, STA 652 Mathematical Statistics, STA 667 Statistical Consulting, STA 668 Consulting Experience, STA 690 Graduate Seminar, and STA 699 Thesis. |
Data Analytics Concentration
Required: 30 credit hours
The concentration in Data Analytics provides students with advanced analytical training to develop their ability to draw insights from big data, including: data collection, preparation and integration, statistical methods and modeling, and other techniques for analyzing complex data. The program is highly applied in nature, integrating project-based learning, simulations, case studies, and specific electives addressing the analytical needs of various industry sectors. The concentration requires a minimum of 30 credit hours including either a project (3 credits) or thesis (6 credits) option.
Code | Title | Credit Hours |
---|---|---|
Analytics Methods and Foundations | 15 | |
Introduction to Probability | ||
Introduction to Mathematical Statistics | ||
Statistical Computing | ||
Statistical Linear Models I | ||
Topics in High Dimensional Data Analysis | ||
Analytics Applications | 9-12 | |
Select at least two of the following: | 6 | |
Analysis of Survival Data | ||
Nonparametric Statistics | ||
Advanced Statistics in the Behavioral and Biological Sciences I | ||
Advanced Statistics in the Behavioral and Biological Sciences II | ||
Categorical Data Analysis | ||
Multivariate Analysis | ||
Statistical Linear Models II | ||
Advanced Topics in Data Analysis and Quantitative Methods | ||
Select at most two of the following: | 3-6 | |
Predictive Data Mining | ||
Time Series and Forecasting | ||
Data Methods in Economics | ||
Big Data and Machine Learning | ||
Advanced Topics in Algorithms | ||
Advanced Database Systems | ||
Topics in Database Systems | ||
Principles of Predictive Analytics | ||
Visualizing Data to Design Strategy | ||
Organizing Data for Analytics | ||
Analytics Capstone | 3-6 | |
Project in Statistics | ||
or STA 699 | Thesis |
Teaching College Mathematics Concentration
Required: 30 credit hours
The concentration in Teaching College Mathematics is intended for students wishing to pursue a career in teaching at the community college level. This 30 credit hour concentration is offered with a project option or an exam option. At least half of the required credits (15 out of the 30) must be taken at the 600-level or above. Candidates must complete at least 18 credits of graduate coursework with an MAT prefix. The concentration has three components: The Mathematics and Statistics core courses; Pedagogy, Educational Research, and Higher Education; and the Capstone Experience (Project or Exam).
Code | Title | Credit Hours |
---|---|---|
Mathematics and Statistics Core Courses | 18 | |
Pedagogy, Educational Research, and Higher Education | 9-12 | |
Seminar in the Teaching of Mathematics I | ||
Practicum in the Teaching of Mathematics | ||
Select 6-9 additional credits in the following courses: | ||
Problem Solving in Mathematics | ||
Historical Development of Mathematics | ||
Advanced Statistics in the Behavioral and Biological Sciences I | ||
Advanced Statistics in the Behavioral and Biological Sciences II | ||
Educational Measurement and Evaluation | ||
Foundations of Educational Measurement Theory | ||
Student Development Theory in Higher Education | ||
Adult Learning and College Teaching | ||
Higher Education in the U.S. | ||
Technology in Mathematics Education | ||
Project Option | ||
Candidates who select the project option must prepare a project on the investigation of a topic in mathematics or statistics. A project director will be appointed by the Department Head in consultation with the students the Director of Graduate Study. Candidates may include up to 3 credits of MAT 687 Project in Mathematics or STA 698 Project in Statistics in the required total for the concentration. | ||
Exam Option | ||
A candidate who does not prepare a project must pass a written comprehensive examination of his/her program. Please consult with the Director of Graduate Study for information concerning the comprehensive examination. |
Accelerated B.A. to B.S. to M.A.
Application and Admission
Qualified UNCG undergraduate students who are pursuing the B.A. or B.S. in Mathematics may apply for admission to the Accelerated Degree and the M.A. in Mathematics program. A cumulative undergraduate GPA of at least 3.5 based on at least 30 hours earned at UNCG is required. Applicants must have completed at least 60 semester credits and may not apply for admission to the ADP before the first semester of the junior year. Applicants are also required to take the Graduate Record Examination. All applicants must submit the Request for Accelerated Degree Program to the Graduate School and must simultaneously apply for admission to the M.A. program in Mathematics.
Admitted students may apply up to 12 semester hours of graduate-level coursework toward completion of both the undergraduate and graduate degree, provided that they earn a grade of “B” (3.0) or better in the course and fulfill graduate-level requirements. The graduate courses the student will take within the Accelerated Degree Program in Mathematics must be approved by the Director of Graduate Study, must be specified on the Request for Accelerated Degree Program, and must be chosen from among the following courses:
Code | Title | Credit Hours |
---|---|---|
MAT 595 | Mathematical Analysis | 3 |
MAT 596 | Mathematical Analysis | 3 |
STA 551 | Introduction to Probability | 3 |
STA 552 | Introduction to Mathematical Statistics | 3 |
STA 661 | Advanced Statistics in the Behavioral and Biological Sciences I | 3 |
STA 662 | Advanced Statistics in the Behavioral and Biological Sciences II | 3 |
Degree Program Requirements
Please consult with an advisor to determine how the courses taken at the graduate level will meet requirements in the bachelor’s degree program. All degree requirements for the M.A. in Mathematics will remain the same.