Mathematics

Mathematics M.A.


Mathematics Major

The M.A. major in Mathematics is available in four emphases: Mathematics, Secondary Teaching, Community College Teaching, and Actuarial Science.

Only graduate courses (course numbers 5000 or above) will apply to a graduate degree, even if the undergraduate course number (4999 or less) is listed. No exceptions will be made.

The Mathematics emphasis is available on the thesis and non-thesis options. A minimum of 36 hours is required for the thesis option, including 6 hours of MATH 6299 and a minimum of 15 additional hours of 6000-level course work. A minimum of 33 hours is required for the non-thesis option, including a minimum of 3 hours of MATH 6299 and a minimum of 15 additional hours of 6000-level course work.

The Secondary Teaching emphasis is offered on a non-thesis option only; a minimum of 30 hours, including a minimum of 18 hours of 6000-level course work is required.

The Community College Teaching emphasis is offered on a non-thesis option only; a minimum of 30 hours, including a minimum of 15 hours of 6000-level course work is required.

The Actuarial Science emphasis is offered on a non-thesis option only; a minimum of 30 hours, including a minimum of 12 hours of 6000-level course work is required.

Students interested in this program must submit a completed Application for Admission to Graduate Study and should refer to their MyUNIverse Student Center To-Do list or contact the Department of Mathematics for other application requirements. Graduate information and application for graduate admission can be found at https://admissions.uni.edu/application.

The Graduate Record Examination (General Test) is not required for admission to the program.

Courses taken to satisfy B.A. requirements may not be repeated to count toward the graduate program.

Successful completion of a final written comprehensive examination is required for the non-thesis option on the Mathematics and Actuarial Science emphases only

Mathematics Emphasis

Required
Mathematics:
MATH 3630/5630Differential Geometry3
or MATH 4615/5615 Geometric Transformations
MATH 6420Mathematical Analysis I3
MATH 6460Complex Analysis I3
MATH 6500Abstract Algebra I3
Select at least two of the following:6
Mathematical Analysis II
Complex Analysis II
Abstract Algebra II
Research:3 or 6
Research
Thesis option (6 hours)
Non-thesis option (3 hours)
Electives12
Mathematics:
Select 12 hours from any of the courses listed above that were not used for the requirements there or from among the following:
Topics in Actuarial Science
Differential Equations
Partial Differential Equations
Numerical Analysis
Combinatorics
History of Mathematics
Introduction to Probability
Advanced Calculus II
Introduction to Complex Analysis
Modern Algebra II
Topology I
Theory of Numbers
Topics in the History of Mathematics
Topics in Mathematical Logic and Set Theory
Topics in Probability and Statistics
Introduction to Mathematical Statistics
Regression Analysis
Statistical Quality Assurance Methods
Applied Multivariate Statistical Analysis
Total hours thesis option36
Total hours non-thesis option33

Secondary Teaching Emphasis

The Secondary Teaching emphasis is designed for secondary school mathematics teachers interested in developing a deeper background in mathematics and pedagogy to enhance teaching and increase student learning.

Required
Mathematics Education:
MATH 6201Foundations of Mathematics Education3
MATH 6381Current Research in Mathematics Education3
MATH 6209Mathematics Curriculum and Assessment3
MATH 6225Teaching and Learning Mathematics3
MATH 6236Equity and Mathematics Education3
Mathematics:
MATH 6371Probability and Statistical Inference3
MATH 6370Applied Linear Statistical Methods3
Select one course from the following:
MATH 6212Foundations of Algebraic Reasoning3
or MATH 6504 Advanced Linear Algebra
Select One Course from the Following:
MATH 6215Foundations of Geometric Reasoning3
or MATH 6670 Non-Euclidean Geometry
Select One Course from the Following:
MATH 6410Foundations of Calculus3
or MATH 6205 Teaching Rational Numbers and Proportionality
Total Hours30

Community College Teaching Emphasis

The Community College Teaching emphasis is designed to serve those seeking to prepare for a career in community college teaching or working professionals in the field who are seeking career advancement.

Required:
Mathematics Education:
MATH 6201Foundations of Mathematics Education3
MATH 6225Teaching and Learning Mathematics3
MATH 6236Equity and Mathematics Education3
MATH 6209Mathematics Curriculum and Assessment3
Mathematics:
MATH 6504Advanced Linear Algebra3
MATH 6520Complex Functions and Solving Polynomial Equations3
MATH 6370Applied Linear Statistical Methods3
MATH 6371Probability and Statistical Inference3
MATH 6410Foundations of Calculus3
MATH 6670Non-Euclidean Geometry3
Total Hours30

Actuarial Science Emphasis

Required
ACT SCI 5735Actuarial Mathematics3
ACT SCI 5788Loss Models3
ACT SCI 6784Predictive Analytics in Insurance I3
ACT SCI 6785Predictive Analytics in Insurance II3
STAT 5784Introduction to Machine Learning3
STAT 4786/5786Statistics for Risk Modeling3
Select One Course from the Following:3
Advanced Actuarial Mathematics
Advanced Loss Models
Electives9
Select 9 hours, including one or more 6000-level courses not selected in the above required category, from among the following:
Topics in Actuarial Science
Mathematics of Finance
Introduction to Financial Engineering
Introduction to Probability
Applied Statistical Methods for Research
Statistical Computing I
Introduction to Mathematical Statistics
Applied Multivariate Statistical Analysis
Statistical Computing II
Advanced Actuarial Mathematics
Advanced Loss Models
Advanced Statistical Methods
Topics in Probability and Statistics
Total Hours30

Learning Outcomes

Mathematics, M.A.

Goal 1. Graduates will be able to undertake advanced mathematical reasoning:

  • Students will construct logically valid mathematical arguments;
  • Students will apply information learned in one setting to different situations;
  • Students will make connections between seemingly different concepts.

Goal 2. Graduates will be able to conduct independent work and develop new mathematical ideas:

  • Students will demonstrate that they can work independently;
  • Students will identify problems in their readings and to find ways to fix them;
  • Students will create original method(s) for solving known problem(s) or find solution(s) to new problem(s) in their theses or culminating papers.

Goal 3. Graduates will be able to solve problems at the level of graduate mathematics:

  • Students will use/apply research-level (advanced) methods used to solve problems in their theses or culminating papers;
  • Students will solve problems in graduate courses. Department faculty will identify 1-2 problems on the final examinations to assess this goal.

Goal 4. Graduates will be able to comprehend and communicate advanced mathematics both orally and in writing:

  • Students will clearly state the goal(s) of their theses or paper;
  • Students will place the questions/problems they addressed in their theses or papers in context (history, literature review, etc);
  • Students will describe in detail the method(s) they used to answer the questions/problems in their theses or papers;
  • Students will demonstrate mastery of the subject matter covered in their theses by answering questions from the theses committees about the theses.