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Course Criteria
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4.00 Credits
This is an introduction to the history of mathematics that provides the student the opportunity to study the historical background of some topics in the mathematical sciences and to write about those topics. The set of topics studied will vary. (1016-306) Class 4, Credit 4 (offered upon suffi cient request)
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1.00 Credits
This course provides an exploration of cooperative education opportunities, practice in writing letters of application, resume writing and interviewing procedures. Class 1, Credit 0 (W)
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4.00 Credits
The course revisits the equations of spring-mass, RLC circuits and pendulum systems in order to view and interpret the phase space representations of these dynamical systems. This begins with linear systems followed by a study of the stability analysis of nonlinear systems. Matrix techniques are introduced to study higher order systems. The Lorentz equation will be studied to introduce the presence of chaotic solutions. A computer algebra system will be used. (1016-306, 1016-331) Class 4, Credit 4 (S)
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3.00 Credits
This course is a continuation of multivariable calculus. Stokes's and Green'stheorems and the divergence theorem are covered along with an introduction to the applications of these theorems in physics. NOTE: Credit may not be earned in both 1016-328 and 1016-410. (1016-305) Class 4, Credit 4 (W)
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4.00 Credits
This course is an investigation and extension of the theoretical aspects of elementary calculus. Topics include mathematical induction, real numbers, functions, limits, continuity, differentiation, L'Hospital's rule, Taylor's theorem(1016-305 and 265 or permission of instructor) Class 4, Credit 4 (F, W)
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4.00 Credits
This is a continuation of 1016-411 which concentrates on integration: defi nition of the defi nite integral, its existence and properties, improper integrals, infi nite series, sequences and power series. (1016-411) Class 4, Credit 4 (W, S)
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4.00 Credits
This course is an introduction to the probabilistic models and statistical techniques used in computational molecular biology. Probabilistic and/or statistical techniques will be presented for the understanding of pairwise and multiple sequence alignment methods, gene and protein classifi cation methods, and phylogenetic tree construction. (1016-273 or 1016-282, 1016-265 and 1016-319) Class 4, Credit 4 (W)
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4.00 Credits
This course is a brief discussion of preliminaries leading to the concept of analyticity, complex integration, Cauchy's integral theorem and integral formulas, Taylor and Laurent series, residues, and real integrals by complex methods. (1016-283, 1016-305) Class 4, Credit 4 ( F, W, SU)
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4.00 Credits
This course provides a further development of the basic concepts of linear algebra, including orthogonality. Topics include similarity, linear transformations, diagonalization, inner products, Gram Schmidt, quadratic forms and various numerical techniques. Several applications of these ideas are also presented. (1016-331) Class 4, Credit 4 (F, W, S)
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4.00 Credits
This course provides a brief review of basic probability concepts and distribution theory; mathematical properties of distributions needed for statistical inference. (1016-352 or 1016-314) Class 4, Credit 4 (W)
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