There are four graduate degree programs in mathematics and mathematics education at UNI: MA in Mathematics (Non-Teaching), MA in Mathematics (Secondary Emphasis), MA in Mathematics for the Middle Grades (4-8), and the Professional Science Masters. For general information about graduate education at UNI, go to the UNI Graduate College web site.
Masters in Mathematics Degree Information
This major is available on the thesis and non-thesis options. A minimum of 36 hours is required for the thesis option; a minimum of 32-35 hours, depending on the emphasis taken, is required for the non-thesis option. A minimum of fifteen (15) hours of 6xxx-level course work is required on the thesis option. A minimum of twelve (12) hours of 6xxx-level course work is required on the non-thesis option.
The Graduate Record Examination (General Test) is not required for admission to the program.
Successful completion of a final written comprehensive examination is required for the non-thesis option.
Master of Arts in Mathematics (Non-Teaching Emphasis)
The Master of Arts in (pure) Mathematics track in the Master of Arts in Mathematics degree is designed to prepare students wishing to pursue more advanced studies in mathematics at the Ph.D. level or to work in the public or private sector. A major highlight of the track is its size: it is small enough to provide a high degree of individual attention to students, and yet large enough to be able to regularly offer the standard courses that form the core of a typical master's degree program.
- Required Courses
- Mathematics (12 hours)
- MATH 5630 - Differential Geometry or MATH 5615- Geometric Transformations
- MATH 6420 - Mathematical Analysis I
- MATH 6460 - Complex Analysis I
- MATH 6500 - Abstract Algebra I
- At least two of the following (6 hours):
- MATH 6421 - Mathematical Analysis II
- MATH 6461 - Complex Analysis II
- Research (6 hours, thesis option - 2 hours, non-thesis option)
- MATH 6299 - Research
- Electives from the following (12 hours)
- MATH 5421 - Intermediate Mathematical Analysis II
- MATH 5425 - Differential Equations
- MATH 5430 - Partial Differential Equations
- MATH 5752 - Introduction to Probability
- MATH 5754 - Introduction to Stochastic Process
- STAT 5777 - Statistical Quality Assurance Methods
- ACT SCI 5739 - Topics in Actuarial Science
- MATH 5501 - Modern Algebra II
- MATH 5641 - Topology I
- STAT 5775 - Introduction to Mathematical Statistics
- STAT 5776 - Regression Analysis
- MATH 5440 - Numerical Analysis I
- MATH 5640 - History of Mathematics: To the Calculus
- STAT 5779 - Applied Multivariate Statistical Analysis
- MATH 6510 - Theory of Numbers
- MATH 6640 - Topics in the History of Mathematics
- MATH 6650 - Topics in Mathematical Logic and Set Theory
- MATH 6779 - Topics in Probability and Statistics
- Mathematics (12 hours)
Master of Arts in Mathematics (Secondary Emphasis)
The Master of Arts in Mathematics (Secondary Emphasis) was designed to extend the content and pedagogical knowledge of high school mathematics teachers. We have had a Master of Arts program for secondary teachers as long as the department as offered graduate degrees. Initially, teachers were advised to take courses (particularly mathematics education) developed for secondary mathematics teachers. In 1992, advising was standardized so that all teachers in the Master of Arts program were advised to take the same set of courses. The program was given its own identity in 1994, following the last academic program review.
- Required Courses
- Mathematics/Education Technology
- Mathematics (21 hours)
- Algebra/Number Theory (a)
- MATH 5510 - Elementary Number Theory or
- MATH 6510 - Theory of Numbers or
- MATH 6500 - Abstract Algebra I
- Analysis (b)
- MATH 5420 - Intermediate Mathematical Analysis I or
- MATH 5410 - Dynamical Systems: Chaos Theory and Fractals or
- MATH 5460 - Introduction to Complex Analysis or
- MATH 6420 - Mathematical Analysis I or
- MATH 6460 - Complex Analysis I
- Geometry (c)
- Algebra/Geometry (d)
- MATH 5630 - Differential Geometry
- History (e)
- MATH 5640 - History of Mathematics: To the Calculus or
- MATH 6640 - Topics in the History of Mathematics
- Logic/Set Theory/Topology (f)
- MATH 5641 - Topology I or
- MATH 6650 - Topics in Mathematical Logic and Set Theory
- Probability/Statistics (g)
- MATH 5752 - Introduction to Probability or
- STAT 5775 - Introduction to Mathematical Statistics
- Algebra/Number Theory (a)
- Research (2 - 6 hours)
- MATH 6299 - Research
- Thesis option: 6 hrs. MATH 6299 and one course from each of six of the seven areas a-g, with at least two of those courses at the 6xxx-level.
- Non-thesis option: 2 hrs. MATH 6299 and one course from each of areas a-g, with at least two of those courses at the 6xxx-level.
Mathematics for the Middle Grades MA
The Mathematics for the Middle Grades MA program follows a professional development model that is set in the context of classroom practice. Program content, understandings and experiences are directly and explicitly linked to your teaching. As a member of a cohort of practicing middle grades mathematics teachers, you will find that the friendships, support, and camaraderie found in our program with other teachers going through similar experiences with you will be one of the most important aspects for helping you analyze your teaching and vital in the teacher change process.
If you are interested in gaining new insights and ideas for improving your teaching and wish to examine, discuss and reflect upon the meaningful learning experiences you provide your mathematics students, then the Mathematics for the Middle Grades MA Program is right for you.
Required Courses
- Mathematics (29 hours)
- MATH 5205 - Contemporary Mathematics Curricula
- MATH 6212 - Teaching Algebra in the Middle Grades
- MATH 6213 - Selected Topics in Mathematics for the Middle Grades
- MATH 6214 - Mathematical Problem Solving in the Middle Grades
- MATH 6205 - Teaching Rational Numbers
- MATH 6201 - New Developments in Middle Grade Mathematics
- MATH 6207 - Mathematics Literacy in an Information Age
- MATH 6203 - Issues and Problems in Teaching Mathematics in the Middle Grades
- MATH 6224 - Mathematics for the Middle Grades Teachers I
- MATH 6210 - Technology in Middle Grades Mathematics
- MATH 6226 - Mathematics for the Middle Grades Teacher II
- Electives (3 hours)
- As approved by the department
Professional Science Master's Degree in Industrial Mathematics
The Professional Science Master's (PSM) Degree in Industrial Mathematics is designed to prepare students for a career in industry. The curriculum combines a Business and Experiential component with advanced degree course work. The PSM degree is a non-thesis program. It requires a minimum of 34 units including at least 2 units of 6XXX-level course work. No comprehensive examination is required.
Actuarial Science Emphasis (Total 34 units)
Required Courses: PSM Core (16 units)
MATH 6745 Deterministic Operations Research – 3 units
MATH 6747 Discrete-Event System Simulation – 3 units
MATH 6795 Industrial Internship/Project – 6 units
PSM 6100 Business Management for Science Professionals – 3 units
PSM 6289 Professional Science Master’s Seminar – 1 unit
Required Courses: Actuarial Science Core (9 units) – three of the following courses:
ACT SCI 5735 Actuarial Mathematics – 3 units
ACT SCI 5739 Topics in Actuarial Science – 3 units
ACT SCI 5785 Introduction to Financial Engineering – 3 units
ACT SCI 5788 Loss Models – 3 units
MATH 5780 Mathematics of Finance – 3 units
Elective Courses (9 units): Any three courses from the following list that do not duplicate course work chosen to meet the Actuarial Science core requirement.
ACT SCI 5735 Actuarial Mathematics – 3 units
ACT SCI 5739 Topics in Actuarial Science – 3 units
ACT SCI 5785 Introduction to Financial Engineering – 3 units
ACT SCI 5788 Loss Models – 3 units
MATH 5425 Differential Equations – 3 units
MATH 5430 Partial Differential Equations – 3 units
MATH 5440 Numerical Analysis – 3 units
MATH 5460 Introduction to Complex Analysis – 3 units
MATH 5530 Combinatorics – 3 units
MATH 5630 Differential Geometry – 3 units
MATH 5742 Geometric Modeling for CAD – 3 units
MATH 5752 Introduction to Probability – 3 units
MATH 5754 Introduction to Stochastic Processes – 3 units
MATH 5780 Mathematics of Finance – 3 units
MATH 6746 Probabilistic Operations Research – 3 units
MATH 6748 Modeling Industrial Systems Using Queuing Networks – 3 units
MATH 6779 Topics in Probability and Statistics – 3 units
STAT 5771 Applied Statistical Methods for Research – 3 units
STAT 5772 Statistical Computing – 3 units
STAT 5773 Design and Analysis of Experiments – 3 units
STAT 5775 Introduction to Mathematical Statistics – 3 units
STAT 5776 Regression Analysis – 3 units
STAT 5777 Statistical Quality Assurance Methods – 3 units
STAT 5778 Spatial Data Analysis – 3 units
STAT 5779 Applied Multivariate Statistical Analysis – 3 units
STAT 6772 Advanced Statistical Methods – 3 units
CS 5470 Networking – 3 units
FIN 5130 Corporation Finance – 3 units
FIN 5160 Principles of Investments – 3 units
FIN 6266 Financial Management and Markets – 3 units
Either MKTG 5170 Marketing Strategy – 3 units
Or MKTG 6170 Marketing Management – 3 units
MGMT 6250 Strategic Planning and Organization Analysis – 3 units
MGMT 6262 Cross-Functional Operations – 3 units
TECH 3147 Computer Aided Manufacturing – 3 units
TECH 5122 Advanced CAD and Modeling – 3 units
PHYSICS 6100 Modeling and Simulation of Physical Systems – 3 units
Effective Fall 2012