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Course Criteria
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4.00 Credits
An introduction to mathematical modeling and calculus with applications to biology Topics include discrete-time dynamical systems, limits, continuity, derivatives, optimization, stability of equilibria, definite and indefinite integrals, and differential equations. Students will employ computational software to solve problems and to analyze models of various biological processes. Prerequisite: MATH 121 or placement into 225.
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3.00 Credits
An introduction to the problems and solution methodologies in computational science. Computational tools such as a computer algebra system, a high performance computing engine, visualization software and Internet resources will be used to explore and solve mathematical problems drawn from various fields of science. Corequisite: MATH 225 or 230. Offered fall semester (same course offered as CS 245).
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3.00 Credits
Solution methods for a variety of differential and difference equations are presented. Included are first and higher order differential and difference equations and discrete dynamical systems, and systems of differential and difference equations. The course uses a problem-based approach with emphasis on modeling. Computational technology facilitates exploration of analytical, graphical, and numerical solution methodologies. Prerequisites: MATH 231. Offered spring semester of even years. (Same course offered as MATH 335)
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3.00 Credits
A first course in the design, analysis and development of parallel and distributed algorithms on different architectures. Prerequisites: C or better in CS 161 and MATH 225 or 230. Offered fall semester in even years. (Same course offered as CS 376.)
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3.00 Credits
Topics include models for the rotation and vibration of diatomic and polyatomic molecules and their visualization, molecular mechanics using semi-empirical force fields, and molecular dynamics of polypeptides, polynucleotides, and their interactions with drugs. Prerequisites: CHEM 102, CSAC 245/CS 245, PHYS 221. (Same course offered as CHEM 391.)
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3.00 Credits
An exploration of bioinformatics and mathematical biology. Topics include sequence alignment and analysis of DNA and proteins, modeling the physiology of the heart, statistical analysis of biology data, and the use of web-based databases. Prerequisites: MATH 121 or 130. (Same course offered as BIOL 392.) Fall, alternating years.
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3.00 Credits
This course is designed to stimulate critical thinking about environmental science principles using computational modeling methodologies. Some topics to be covered included groundwater and contaminant transport, phosphorus cycling in surface waters, and global climate change. Prerequisite: CSAC/CS 245 or permission of instructor. (Same course offered as ENVS 393.) Fall, alternating years.
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3.00 Credits
This course provides a modeling approach in the fields of psychology and neuroscience. Topics may include decision making, learning models, neuro imaging techniques, and neural networks. (Same course offered as PSYCH 394.)
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3.00 Credits
This course is designed to introduce some of the computational methods used in physics. Students will work in groups and are expected to use prior knowledge from calculus, general physics, and computational science to develop appropriate strategies for solving problems. Use of a combination of different methodologies (algebraic, numerical, graphical/visual) is expected. (Same course offered as PHYS 396.)
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3.00 Credits
This course provides a general introduction to the terminology, methodology, and applications of scientific visualization. Methods for visualizing surface and volumetric data from a variety of scientific fields including both static medical data and time varying data are presented. The standard generic pipeline for converting numerical data to visual representations is presented using the VTK software package. Prerequisite: CS 161. (Same course offered as CS 397.)
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