# Mathematical Sciences

## Master of Science in Mathematics

There are four options available in this program:

- Applied and Computational Mathematics
- Probability and Statistics
- Mathematics for Teachers
- Industrial Mathematics Professional Science Master's

All options require a four-year undergraduate degree from an accredited college or university with a satisfactory grade point average, and the official score report of the Aptitude Test of the Graduate Record Examination. For the Applied and Computational Mathematics and the Probability and Statistics options, the undergraduate degree must be in mathematics or a related discipline. For the Mathematics for Teachers option, three semesters of calculus (12 credits) are required. Applicants lacking some prerequisites may be accepted as matriculated with conditions. The Applied and Computational Mathematics, Probability and Statistics, and Mathematics for Teachers programs consist of thirty credit hours approved by the Graduate Curriculum Committee. The Industrial Mathematics Professional Science master's option requires 37 credit hours, including a paid internship. These credit requirements include both required courses and electives (which may be offered in other departments). Up to six credits at the 400 level may be considered for inclusion in the program of study. In addition, in all options except the Industrial Mathematics Professional Science Master's Option, three or six credits may, with the permission of the student advisor and Graduate Committee, be obtained by thesis. Most courses are offered on a regular basis in the late afternoon and early evening so that all programs can be completed on a part-time basis.

### Applied and Computational Mathematics

The M.S. Option in Applied and Computational Mathematics focuses on techniques of mathematical modeling and the basic tools needed to investigate problems from both a theoretical and computational viewpoint. Courses range from classical applied mathematics and state of the art courses in signal processing to modern applications of software in problem solution.

Required courses:- MATH.5010 Real Analysis I
- MATH.5300 Applied Mathematics I
- MATH.5630 Computational Mathematics I

### Probability and Statistics

This option is a professionally oriented program that provides the necessary mathematical skills to solve many of the data analysis problems of government, industry, science, engineering, and management. Courses range from theory based courses in probability through to applied hands-on course in statistical programming, including a course in the use of SAS statistical software.

Required courses:- MATH.5010 Real Analysis I
- MATH.5090 Introduction to Probability & Statistics

- MATH.5840 Stochastic Processes
- MATH.5870 Probability Theory
- MATH.5880 Mathematical Statistics

- MATH.5190 Introduction to Probability & Statistics II
- MATH.5910 Linear Statistical Modeling & Regression
- MATH.5930 Experimental Design

### Mathematics for Teachers

The Master of Science in Mathematics for Teachers Program aims to give students a balanced combination of theory and practice, to enhance their appreciation and understanding of Mathematics as a science, and to provide them with the tools necessary to instill in their own students an interest in the subject. Courses in Mathematical Analysis, Discrete Mathematics, Linear Algebra, Number Theory, Geometry, and Probability and Statistics are designed to introduce the student to several important areas of Mathematics. Courses in Problem Solving, History of Mathematical Science, Mathematical Modeling, and Computers in the Classroom are intended to provide a deeper awareness of the contexts in which mathematical activity takes place and of the mental processes and technological aids employed by people in solving practical problems. Note that this is not a teaching certification program - contact the Graduate School of Education for information about certification.

Required courses:

- MATH.5000 Discrete Structures
- MATH.5200 Problem Solving

### Industrial Mathematics Professional Science Master's

**Admission Requirements**

Incoming students will be expected to have completed the equivalent of an undergraduate degree in mathematics. Applicants with degrees in other sciences or engineering may be admitted if they demonstrate significant background in mathematics.

Degree Requirements - Total Number of Credits: 34

**Mathematics Courses** (12 credits)

**Required**:

- MATH.5010 Real Analysis I
- MATH.5090 Introduction to Probability & Statistics
- MATH.5300 Applied Mathematics I
- MATH.5630 Computational Mathematics

**Science Cluster - One cluster of 12 credits from the following.**

(Variations on these clusters or different ones can be proposed with the guidance of the student's advisor.)

**Algorithms Cluster**

- MATH.5800 Discrete Math for Science and Engineering
- COMP.503 Algorithms
- COMP.504 Advanced Algorithms: Computational Geometry
- COMP.544 Machine Learning and Data Mining

**Random Processes Cluster**

- MATH.5840 Stochastic Processes
- EECE.509 Linear Systems Analysis
- EECE.548 Coding and Information Theory
- EECE.584 Probability and Random Processes

**Physics Cluster**

- MATH.5330 Mathematical Methods of Quantum Mechanics
- PHYS.5350 Introductory Quantum Mechanics I
- PHYS.5530 Electromagnetism I
- PHYS.5540 Electromagnetism II

**Statistics Cluster**

- MATH.5760 Statistical Programming using SAS
- MATH.5880 Mathematical Statistics
- MATH.5910 Linear Statistics Modeling and Regression
- MATH.5930 Experimental Design

**Epidemiology/Biostatistics Cluster**

- MATH.5760 Statistical Programming in SAS
- MATH.5910 Linear Statistics Modeling and Regression
- PUBH.5750 Introduction to Biostatistics and Epidemiology
- PUBH.6890 Advanced Regression Modeling

**Professional Course (9 credits)**

- PSMA.5350 Project Management for Scientists
- PSMA.5450 Professional and Scientific Communication
- PSMA.5550 Professional Leadership in Science and Engineering

**Internship** (1 credit)

Each student must complete an internship lasting a minimum of 350 hours. Before starting the internship, the student must have completed at least 18 credit hours in the program, including 6 credit hours of PLUS coursework, must have completed the course PSMA.5000 Professional Development, and must have a GPA of at least 3.3. The university will assist students in finding an internship. In cases where a PSM student is employed in their career field the PSM student will be required to do a PSM project at their place of employment. The student should register fro the course PSMA.5100 PSM Internship during the internship period.

In the summer immediately following completion of the PSM Internship (or PSM Project for students employed in their career field) the student is required to take PSMA.5010 Reflective Seminar (1 credit).

- PSMA.5000 Professional Development Seminar (0 credits)
- PSMA.5100 Internship (0 credits)
- PSMA.5010 Reflective Seminar (1 credit)

**Professional Courses** (9 credits)

- MKTG.5450 Professional and Scientific Communication

*Plus two additional courses from the following list:*

- PSMA.5350 Project Management for Science Professionals
- PSMA.5550 Leadership for Scientists
- PSMA.5650 (ENTR.5650 Technical Entrepreneurship
- MGMT.5750 Business Fundamentals for Scientist and Engineers