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The Master of Science in Applied and Computational Mathematics is the sole graduate degree offered by the Department of Mathematics and Statistics and as such, the graduate faculty and their research projects are highly accessible to students in the program.
A Bifurcation Diagram.
The two-year program is intended to provide a sound academic basis for careers in the natural, environmental, biomedical, and managerial science, as well as in engineering and in areas of research and development related to technology.
Thorough emphasis on the place of theory within the discipline and the distinction between theory and practice, the program seeks to develop the student's critical and professional thinking, as well as intuition. Students thereby acquire a broad understanding of their field. Degree requirements are flexible to permit the designing of a program of study tailored to the student's interests.
Interaction is encouraged with other departments on campus, regional governmental facilities (including the U.S. Environmental Protection Agency Water Quality Laboratory and the Minnesota Natural Resources research Institute, both of which are located in Duluth), and area industries. Numerous opportunities exist for graduate student research.
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.
Upper-level and graduate courses offered on a regular basis include the theoretical core courses in linear algebra, probability, abstract algebra, and real analysis, as well as courses on:
Computing plays an integral role in many upper-level mathematics and statistics courses offered by the department.