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Course Criteria
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3.00 Credits
Probability of sample spaces, random variables, discrete and continuous probability distributions. Analysis of the principles of descriptive and inferential statistics. Prerequisite: MAT 1520. (Fall, even numbered years).
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3.00 Credits
Discrete mathematical ideas including graph theory, counting techniques, recurrence relations, and methods of solving applied problems. Prerequisite: MAT 2600. (Fall, odd numbered years).
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3.00 Credits
An introduction to ordinary differential equations, including linear and nonlinear equations with applications, power series solutions, and Laplace transforms. Prerequisite: MAT 1520. (Spring, odd numbered years).
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3.00 Credits
Study of methods and ideas in operations research including linear programming using the simplex method and interior point methods, nonlinear programming, stochastic processes and Markov chains. Prerequisite: MAT 1520. (Spring, odd numbered years).
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3.00 Credits
Elementary geometry from an advanced standpoint; a study of axiomatic structures; Euclidean in two and three dimensions; Finite geometries, projective geometry and constructions. Prerequisite or corequisite: MAT 2600. (Spring, even numbered years).
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3.00 Credits
Linear equations, vector operations, matrices, determinants, linear transformations, eigenvalues and eigenvectors, singular values and singular vectors, canonical forms, polynomial functions of matrices, vector spaces, and related topics. Prerequisite: MAT 2600. (Spring, even numbered years).
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3.00 Credits
Models for biological processes based on discrete mathematics (graphs, combinatorics), probabilistic and optimization methods, Markov chains and Markov fields, Monte-Carlo simuation, maximum-likelihood estimation, entropy, and information. Applications selected from epidemiology, inheritance and genetic nucleic acids, energy optimization in protein structure prediction, and topology of biological molecules. Prerequisites: MAT 1520, MAT 3000, BIO 1520. (Offered alternate years.) Cross listed as MBI 3500 and BIO 3500.
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3.00 Credits
Models for biological processes based on ordinary and partial differential equations. Topics selected from models of population growth, predator-prey dynamics, biological oscillators, reaction-diffusion systems, pattern formation, neuronal and blood flow physiology, neural networks, and biomechanics. Prerequisite: MAT 3020, BIO 1520. (Fall, odd numbered years.) Cross listed as MBI 3600 and BIO 3400.
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3.00 Credits
Introduces the scientist to Bioinformatics, which uses computer databases to store, retrieve and assist in understanding biological information. Genome-scale sequencing projects have led to an explosion of genetic sequences available for automated analysis. These gene sequences are the codes, which direct the production of proteins that in turn regulate all life processes. The student will be shown how these sequences can lead to a much fuller understanding of many biological processes allowing pharmaceutical and biotechnology companies to determine for example new drug targets or to predict if particular drugs are applicable to all patients. Students will be introduced to the basic concepts behind Bioinformatics and Computational Biology tools. Hands-on sessions will familiarize students with the details and use of the most commonly used online tools and resources. Prerequisites: MBI 3020, BIO 1520. (Spring, odd numbered years.) Cross listed as MBI 3700 and BIO 3750.
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3.00 Credits
Real number system, functions, sequences, limits, continuity, uniform continuity, infinite series and sequences. Prerequisite or corequisite: MAT 2510 and MAT 2600. (Fall, odd numbered years).
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