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The Department of Mathematics is ranked a tier-one program by the National Research Council rankings and conducts world-class research in a broad spectrum of mathematical endeavors. At the highest level, the department offers the graduate degrees of Doctor of Philosophy in Mathematics and Doctor of Philosophy in Applied Mathematics, which open the door to research careers in universities, national laboratories, and industry. We also offer graduate work leading to Master of Science degrees in Mathematics and in Applied Mathematics, as well as a Master of Arts for Teachers degree. Our Professional Master's program in Industrial Mathematics has an exemplary record of preparing students for careers in industry.

In addition to meeting the requirements of the university and of the College of Natural Science, students must meet the requirements specified below.

**Admission**

To be admitted to the Master of Science degree program in applied mathematics, a person should have completed (1) the mathematics or applied mathematics courses normally required for the bachelor's degree with a major in mathematics, physics, or engineering, (2) a minimum of a year's work in mathematical analysis at the senior year level, and (3) courses in matrices and linear algebra.

**Requirements for the Master of Science Degree in Applied Mathematics**

The student must complete a total of 30 credits for the degree under Plan B (without thesis). The student's program of study must be approved by the student's academic advisor and must include:

- At least 24 credits in mathematics courses including:
- At least 6 credits from the following courses: Mathematics 818, 819, 828, 829, 848, 849, 868, 869.
- At least 12 credits in 800–level applied mathematics courses including 6 credits in one of the following groups of courses: Mathematics 841, 842; 848, 849; 850, 851; or 880, 881.

The completion of Mathematics 848 and 849 may be used to satisfy**either**the requirement referenced in item 1 a.**or**the requirement referenced in item 1. b., but**not**both of those requirements.

- At least 18 credits in 800–900 level courses.

In addition to meeting the requirements of the University and of the College of Natural Science, students must meet the requirements specified below.

**Admission**

Regular admission to the Doctor of Philosophy degree program in applied mathematics presupposes academic preparation equivalent to a Master of Science degree with a major in mathematics with a grade–point average of 3.00 or better. However, a student with a bachelor's degree whose undergraduate preparation is strong may be admitted directly to the program upon passing a qualifying examination.

**Requirements for the Doctor of Philosophy Degree in Applied Mathematics**

The student must:

- Pass the qualifying examination.
- Complete at least 30 credits in approved 800–900 level mathematics courses excluding courses taken in preparation for the qualifying examination and Mathematics 999; at least 18 of the 30 credits must be in applied mathematics courses.
- Present at least two seminars acceptable to the faculty.
- Pass the comprehensive examination.
- Demonstrate a reading knowledge of one foreign language, normally from among French, German, and Russian, sufficient to read the mathematical literature written in that language.
- Complete a dissertation in applied mathematics.

For detailed information regarding the qualifying and comprehensive examinations, contact the Department of Mathematics.

The degree of Master of Science in Industrial Mathematics is designed to produce generalized problem solvers of great versatility, capable of moving within an organization from task to task. The graduate will have acquired not only the standard mathematical and statistical tools, but also the basic ideas of engineering and business, and will have received training in project development and in modes of industrial communication. The program is for students planning careers in business, government or industry.

**Admission**

To be admitted to the Master of Science in Industrial Mathematics program, a person should have completed (1) the mathematics or applied mathematics courses normally required for the bachelor’s degree with a major in mathematics, statistics, economics, physics or engineering, (2) courses at the senior level in mathematical analysis, linear algebra and differential equations, and (3) have some familiarity with mathematical software programs such as Mathematica, Matlab, etc.

Students entering the program are expected to have a mathematical preparation at the level of Mathematics 421, 414 and 442. Students with deficiencies may be required to take additional course work.

**Requirements for the Master of Science Degree in Industrial Mathematics**

In addition to meeting the requirements of the University and the College of Natural Science, the student must complete a total of 36 credits for the degree under Plan B (without thesis). The student’s program of study must be approved by the student’s academic advisor, including:

1. | The following requirements for the major (36 credits): | ||||||

a. | Both of the following courses: | ||||||

MTH | 843 | Survey of Industrial Mathematics | 3 | ||||

MTH | 844 | Projects in Industrial Mathematics | 3 | ||||

b. | A minimum of four of the following courses: | ||||||

MTH | 810 | Error-Correcting Codes | 3 | ||||

MTH | 840 | Chaos and Dynamical Systems | 3 | ||||

MTH | 841 | Boundary Value Problems I | 3 | ||||

MTH | 842 | Boundary Value Problems II | 3 | ||||

MTH | 848 | Ordinary Differential Equations | 3 | ||||

MTH | 849 | Partial Differential Equations | 3 | ||||

MTH | 850 | Numerical Analysis I | 3 | ||||

MTH | 851 | Numerical Analysis II | 3 | ||||

MTH | 852 | Numerical Methods for Ordinary Differential Equations | 3 | ||||

MTH | 880 | Combinatorics | 3 | ||||

MTH | 881 | Graph Theory | 3 | ||||

c. | A minimum of two of the following courses: | ||||||

STT | 461 | Computations in Probability and Statistics | 3 | ||||

STT | 801 | Design of Experiments | 3 | ||||

STT | 843 | Multivariate Analysis | 3 | ||||

STT | 844 | Time Series Analysis | 3 | ||||

STT | 847 | Analysis of Survival Data | 3 | ||||

STT | 861 | Theory of Probability and Statistics I | 3 | ||||

STT | 862 | Theory of Probability and Statistics II | 3 | ||||

STT | 863 | Statistics Methods I | 3 | ||||

STT | 864 | Statistics Methods II | 3 | ||||

STT | 865 | Modern Statistical Methods | 3 | ||||

STT | 866 | Spatial Data Analysis | 3 | ||||

STT | 886 | Stochastic Processes and Applications | 3 | ||||

STT | 888 | Stochastic Models in Finance | 3 | ||||

d. | At least four of the following courses: | ||||||

CE | 801 | Nonlinear Structural Mechanics | 3 | ||||

CE | 829 | Mixing and Transport in Surface Waters | 3 | ||||

CE | 863 | Applied Numerical Methods for Civil and Environmental Engineers | 1 | ||||

CSE | 802 | Pattern Recognition and Analysis | 3 | ||||

CSE | 803 | Computer Vision | 3 | ||||

CSE | 830 | Design and Theory of Algorithms | 3 | ||||

CSE | 835 | Algorithmic Graph Theory | 3 | ||||

CSE | 872 | Advanced Computer Graphics | 3 | ||||

CSE | 881 | Data Mining | 3 | ||||

CSE | 885 | Artificial Neural Networks | 3 | ||||

EC | 811A | Mathematical Applications in Economics | 2 | ||||

EC | 811B | The Structure of Economic Analysis | 2 | ||||

EC | 812A | Microeconomics I | 3 | ||||

EC | 812B | Microeconomics II | 3 | ||||

EC | 813A | Macroeconomics I | 3 | ||||

EC | 813B | Macroeconomics II | 3 | ||||

EC | 816 | Economic Thought II | 3 | ||||

EC | 820A | Econometrics IA | 3 | ||||

EC | 820B | Econometrics IB | 3 | ||||

EC | 822A | Time Series Econometrics I | 3 | ||||

EC | 822B | Time Series Econometrics II | 3 | ||||

EC | 829 | The Economics of Environmental Resources | 3 | ||||

ECE | 466 | Digital Signal Processing and Filter Design | 3 | ||||

ECE | 837 | Computational Methods in Electromagnetics | 3 | ||||

ECE | 848 | Evolutionary Computation | 3 | ||||

ECE | 849 | Digital Image Processing | 3 | ||||

ECE | 863 | Analysis of Stochastic Systems | 3 | ||||

ECE | 867 | Information Theory and Coding | 3 | ||||

ECE | 885 | Artificial Neural Networks | 3 | ||||

ENE | 801 | Dynamics of Environmental Systems | 3 | ||||

ENE | 804 | Biological Processes in Environmental Engineering | 3 | ||||

ENE | 822 | Groundwater Modeling | 3 | ||||

ENE | 823 | Stochastic Groundwater Modeling | 3 | ||||

ME | 820 | Continuum Mechanics | 3 | ||||

ME | 821 | Linear Elasticity | 3 | ||||

ME | 830 | Fluid Mechanics I | 3 | ||||

ME | 840 | Computational Fluid Dynamics and Heat Transfer | 3 | ||||

ME | 851 | Linear Systems and Control | 3 | ||||

ME | 860 | Theory of Vibrations | 3 | ||||

ME | 872 | Finite Element Method | 3 | ||||

MKT | 805 | Marketing Management | 2 | ||||

MKT | 806 | Marketing Analysis | 3 | ||||

MKT | 809 | Pricing, Profitability and Marketing Metrics | 3 | ||||

MKT | 819 | Advanced Marketing Research | 3 | ||||

MKT | 865 | Emerging Topics in Business | 3 | ||||

SCM | 800 | Supply Chain Management | 3 | ||||

SCM | 826 | Manufacturing Design and Analysis | 1 | ||||

SCM | 827 | Competing Through Supply Chain Logistics | 1 | ||||

SCM | 833 | Decision Support Models | 2 | ||||

SCM | 843 | Sustainable Supply Chain Management | 2 | ||||

SCM | 853 | Operations Strategy | 2 | ||||

SCM | 854 | Integrated Logistics Systems | 2 | ||||

e. | Completion of a Certificate in Program Management. This requires completion of PHM 857 Project Management, covering such topics as formal project management culture, principles, knowledge areas, and terminology. It will normally be undertaken during the first year of enrollment with the opportunity to use the credit-no credit grading system. Certification will also require participation in Industrial Mathematics-specific discussion sessions. After the completion of the certificate program is approved by the instructors, the Industrial Mathematics Program, and the Associate Dean of the College of Natural Science, the Office of the Registrar will enter on the student’s academic record the name of the certificate program and the date it was completed. This certification will appear on the student’s transcript upon completion of the requirements for the degree program. |

In addition to meeting the requirements of the University and of the College of Natural Science, students must meet the requirements specified below.

**Admission **

To be admitted to the Master of Arts for Teachers degree program in mathematics, a person should have (1) at least one year of calculus and (2) at least 10 credits of acceptable junior and senior mathematics courses. Normally these 10 credits should include courses in advanced calculus and modern algebra. The candidate should also possess, or be a candidate for, teacher certification.

**Requirements for the Master of Arts for Teachers Degree in Mathematics**

The student must complete a total of 30 credits for the degree under Plan B (without thesis). The student's program of study must be approved by the student's academic advisor and must include:

- At least 9 credits from the following courses: Mathematics 801, 802A, 802B, and 903.
- At least 15 additional credits in mathematics or statistics courses including one course sequence, such as algebra or discrete mathematics, from a list of approved courses that is available in the Department of Mathematics.
- Course work in each of the following five areas of mathematics: geometry, algebra, analysis, discrete mathematics, and probability and statistics. Courses completed while enrolled in a bachelor's degree program may be used to satisfy this requirement.

In addition to meeting the requirements of the university and of the College of Natural Science, students must meet the requirements specified below.

**Admission **

To be admitted to the Master of Science degree program in mathematics, a person should have (1) at least one year of calculus and (2) at least 10 credits of acceptable junior and senior mathematics courses. Normally these 10 credits should include courses in advanced calculus and modern algebra.

**Requirements for the Master of Science Degree in Mathematics**

The student must complete a total of 30 credits for the degree under Plan B (without thesis). The student's program of study must be approved by the student's academic advisor and must include:

- At least 24 credits in mathematics courses including at least 6 credits from the following courses: Mathematics 818, 819, 828, 829, 848, 849, 868, 869.
- At least 18 credits in 800–900 level courses.

In addition to meeting the requirements of the university and of the College of Natural Science, students must meet the requirements specified below.

**Admission **

Regular admission to the Doctor of Philosophy degree program in mathematics presupposes academic preparation equivalent to a Master of Science degree with a major in mathematics with a grade–point average of 3.00 or better. However, a student with a bachelor's degree whose undergraduate preparation is strong may be admitted directly to the program upon passing a qualifying examination.

**Requirements for the Doctor of Philosophy Degree in Mathematics**

The student must:

- Pass the qualifying examination.
- Complete at least 30 credits in approved 800–900 level mathematics courses excluding courses taken in preparation for the qualifying examination and Mathematics 999.
- Present at least two seminars acceptable to the faculty.
- Pass the comprehensive examination.
- Demonstrate a reading knowledge of one foreign language, normally from among French, German, and Russian, sufficient to read the mathematical literature written in that language.

For detailed information regarding the qualifying and comprehensive examinations, contact the Department of Mathematics.