The Master of Science Degree in Applied and Computational Mathematics is offered under both thesis and non-thesis plans. In both cases, the first year of study typically includes a theoretical core in linear and abstract algebra, real analysis, and probability and statistics. Students entering with sufficiently strong backgrounds may replace these with more advanced courses. Students also choose an area of concentration from among scientific computation, probability and statistics, applied analysis, continuous modeling and discrete mathematics/abstract algebra. An overview of modern computational issues is presented in a graduate level seminar.
During the second year, a student typically enrolls in graduate-level courses both in and out of the Department. Those students not writing a thesis take a heavier course load and participate in a research project. Degree requirements include a written examination on basic coursework and oral presentations of thesis or project work.
- Numerical analysis
- Numerical partial differential equations
- Scientific computation
- Linear programming
- Operational methods
- Dynamical systems
- Finite elements
- Ordinary differential equations
- Continuous mathematical modeling
- Measure theory
- Complex variables
- Analysis of variance
- Regression analysis
- Linear models
- Multivariate analysis
- Experimental design
- Statistical inference
- Stochastic processes
- Graph theory
- Algebraic coding theory
- Combinatorics
- Number theory
Financial aid is available for several students every academic year (tuition waiver and a paid TA position). Our total student body is typically 25-30 students and is very diverse. Currently we have students from eight countries (U.S.A., China, Czech Republic, Ghana, India, Indonesia, Poland, Sri Lanka), next year we will have ten countries represented, including new students from Cameroon, Korea, Vietnam, and Zimbabwe.
Accreditation
The University of Minnesota Duluth (UMD) is accredited by the Higher Learning Commission (HLC) and a member of the North Central Association.