Academic Programs Catalog

College of Natural Science

Graduate Study

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.

 

 


Applied Mathematics - Master of Science

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:

  1. At least 24 credits in mathematics courses including:
    1. At least 6 credits from the following courses:  Mathematics 818, 819, 828, 829, 848, 849, 868, 869.
    2. 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.
  2. At least 18 credits in 800–900 level courses.



Applied Mathematics - Doctor of Philosophy

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:

  1. Pass the qualifying examination.
  2. 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.
  3. Present at least two seminars acceptable to the faculty.
  4. Pass the comprehensive examination.
  5. 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.
  6. Complete a dissertation in applied mathematics.

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



Industrial Mathematics - Master of Science

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 and computer science principles to strengthen data analytic skills, 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 designed 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 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, including:

1. The following requirements for the major (30 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 two of the following courses:
MTH 810 Error-Correcting Codes 3
MTH 841 Boundary Value Problems I 3
MTH 842 Boundary Value Problems II 3
MTH 847 Partial Differential Equations I 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 I 3
MTH 881 Graph Theory 3
c. A minimum of two of the following courses:
STT 801 Design of Experiments 3
STT 802 Statistical Computation 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 866 Spatial Data Analysis 3
STT 875 R Programming for Data Sciences 3
STT 886 Stochastic Processes and Applications 4
STT 888 Stochastic Models in Finance 3
d. At least two of the following courses:
CMSE 801 Introduction to Computational Modeling 3
CMSE 802 Methods in Computational Modeling 3
CMSE 820 Mathematical Foundations of Data Science 3
CMSE 821 Numerical Methods for Differential Equations 3
CMSE 822 Parallel Computing 3
CMSE 823 Numerical Linear Algebra 3
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 836 Probabilistic Models and Algorithms in Computational Biology 3
CSE 841 Artificial Intelligence 3
CSE 847 Machine Learning 3
CSE 860 Foundations of Computing 3
CSE 872 Advanced Computer Graphics 3
CSE 880 Advanced Database Systems 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 and its Mathematical Foundations 4
EC 820A Econometrics IA 3
EC 820B Econometrics IB 3
EC 821A Cross Section and Panel Data Econometrics I 3
EC 821B Cross Section and Panel Data Econometrics II 3
EC 822A Time Series Econometrics I 3
EC 822B Time Series Econometrics II 3
ECE 848 Evolutionary Computation 3
ECE 863 Analysis of Stochastic Systems 3
ME 830 Fluid Mechanics I 3
ME 840 Computational Fluid Dynamics and Heat Transfer 3
ME 872 Finite Element Method 3
MKT 805 Marketing Management 2
MKT 806 Marketing Research for Decision Making 3
MKT 816 Marketing Analysis 3
MKT 819 Advanced Marketing Research 3
MKT 864 Data Mining in Marketing 3
SCM 800 Supply Chain Management 3
SCM 815 Emerging Topics in Supply Management 3
SCM 826 Manufacturing Design and Analysis 1.5
SCM 833 Decision Support Models 2
SCM 843 Sustainable Supply Chain Management 2
SCM 853 Operations Strategy 2
SCM 854 Integrated Logistics Systems 1.5
e. Completion of a Certificate Program in Project 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.


Mathematics - Master of Arts for Teachers

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:

  1. At least 9 credits from the following courses:  Mathematics 801, 802A, 802B, and 903.
  2. 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.
  3. 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.



Mathematics - Master of Science

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:

  1. 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.
  2. At least 18 credits in 800–900 level courses.

 


Mathematics - Doctor of Philosophy

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:

  1. Pass the qualifying examination.
  2. Complete at least 30 credits in approved 800–900 level mathematics courses excluding courses taken in preparation for the qualifying examination and Mathematics 999.
  3. Present at least two seminars acceptable to the faculty.
  4. Pass the comprehensive examination.
  5. 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.