The department of Mathematics and Statistics at University of Michigan-Dearborn currently offers a Master of Science Degree in Applied and Computational Mathematics.
The key components of this evening program involve the integration of applied mathematics, mathematical modeling and numerical analysis.
More about the program
Effective use of advanced mathematical techniques has become more important in industrial settings in recent years owing to the fact that the applications of industry are addressed by implementing algorithms on the computer rather than by hand. The demand has increased for people who understand what algorithms do and how to implement mathematical algorithms knowledgeably and efficiently. The efficiency of an algorithm and of its implementation are issues which are often of major interest within a company. In-depth knowledge concerning this issue on the part of an employee or job applicant can increase greatly that individual’s value and ability to contribute. More generally, the skill of making advanced mathematical methods accessible is of increasing value both for research and for industrial applications. Development of skills in these areas is the primary purpose of the Master’s Degree Program in Applied and Computational Mathematics.
Goals and Themes
Provide graduate-level education in applied mathematics in order to develop comprehension of principles of applied mathematics and skills in employing those principles in industrial or scientific settings.
- General principles and theories of applied mathematics.
- Construction and analysis of mathematical models.
- Development and efficient execution of computational mathematical algorithms.
- Opportunities for independent or collaborative work.
Example Prospective Students
- Individuals in established careers who want or require further training for their current positions.
- Individuals in the workforce who wish to retrain for new career directions, in some cases preparing for a more mathematically-oriented assignment with their current employer.
- Recent graduates who desire a deeper understanding of applied mathematics as an aid in launching a career.
1. 30 semester hours of graduate course work with a cumulative grade point average of B or better. The 30 hours must be selected from lists of approved courses and be approved by the student's graduate advisor. At least fifteen of the hours must be Mathematics and Statistics courses. Up to six credit hours toward the degree may be granted by the Graduate Program Committee to a student through the transfer of credit for approved graduate-level courses. Such courses must have been completed within the past five years with a grade of B or better at an accredited institution and not have been applied in whole or in part toward another degree or certificate. In addition to the specific degree requirements listed here, the general Master's degree requirements of the Horace H. Rackham School of Graduate Studies as specified in The University of Michigan Bulletin: Graduate Student Handbook also apply.
2. One course from each of the following Core Areas A, B, and C. At most nine hours from these Core Areas may count toward the 30 hours. Equivalent courses taken elsewhere may be used to satisfy the requirement, but may not count toward the 30 hours (with the exception of the six hours specified in 1 above which may count toward the 30 hours).A. Mathematical Analysis
i. MATH 551 Advanced Calculus I
ii. MATH 554 Fourier Series and Boundary Value Problems
iii. MATH 555 Complex VariablesB. Numerical Methods
i. MATH 572 Introduction to Numerical Analysis
ii. MATH 573 Matrix ComputationC. Modeling
i. MATH 562 Mathematical Modeling
3. At least four courses from the Modeling Specialization Areas listed below. Not all four may be from the same area. Equivalent courses taken elsewhere may be used to satisfy the requirement, but may not count toward the 30 hours (with the exception of the six hours specified in 1 above which may count toward the 30 hours).A. Linear and Discrete Models
i. MATH 515 Approximation of Functions
ii. MATH 523 Linear Algebra with Applications
iii. STAT 530 Applied Regression Analysis
iv. MATH 558 Introduction to Wavelets
v. MATH 584 Applied and Algorithmic Graph TheoryB. Differential Models
i. MATH 504 Dynamical Systems
ii. MATH 514 Finite Difference Methods for Differential Equations
iii. MATH 516 Finite Element Methods for Differential Equations
iv. MATH 554 Fourier Series and Boundary Value ProblemsC. Statistical Models
i. MATH 520 Stochastic Processes
ii. MATH 525 Mathematical Statistics II
iii. STAT 530 Applied Regression Analysis
iv. STAT 535 Data Analysis and Modeling
v. STAT 545 Reliability and Survival Analysis
vi. STAT 560 Time Series
4. MATH 599, Independent Research Project, taken for three credits.
5. Six hours of cognates outside the Department of Mathematics and Statistics. The courses should be selected from an approved list (Appendix B).
Degree Requirements: Cognate Courses
The following courses count toward the degree. Many of these courses have prerequisites beyond those required for admission to the program. If a student has only the courses required for admission to the program, the following courses should be accessible: IMSE 500, ME 510, ME 518, DS 570, OM 521. If a student takes IMSE 500, then IMSE 505 should be accessible. If a student has taken a course in probability and statistics equivalent to IMSE 317, then the courses ECE 552, ECE 555, ECE 585 should be accessible.
1. Computer and Information Science
CIS 505 Algorithm Design and Analysis
CIS 515 Computer Graphics
CIS 527 Computer Networks
CIS 537 Advanced Networking
CIS 544 Computer and Network Security
CIS 551 Advanced Computer Graphics
CIS 552 Information Visualization and Multimedia Gaming
CIS 568 Data Mining
CIS 574 Compiler Design
CIS 575 Software Engineering Management
CIS 652 Information Visualization and Computer Animation
ECON 515 Introduction to Econometrics
3. Electrical and Computer Engineering
ECE 552 Fuzzy Systems
ECE 555 Stochastic Processes
ECE 560 Modern Control Theory
ECE 565 Digital Control
ECE 567 Non-linear Control Systems
ECE 585 Pattern Recognition
ECE 665 Optimal Control
4. Industrial and Manufacturing Systems Engineering
IMSE 500 Models of Operations Research
IMSE 505 Optimization
IMSE 510 Probability and Statistical Models
IMSE 511 Design and Analysis of Experiments
IMSE 514 Multivariate Statistics
IMSE 520 Managerial Decision Analysis
IMSE 567 Reliability Analysis
DS 570 Management Science
OM 521 Operations Management
OM 660 Analysis and Design of Supply Chains
6. Mechanical Engineering
ME 510 Finite Element Methods
ME 518 Advanced Engineering Analysis
PHYS 503 Electricity and Magnetism
PHYS 553 Quantum Mechanics
8. Other graduate courses outside the Department of Mathematics and Statistics approved by the graduate advisor.