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Course Criteria
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4.00 Credits
The course will focus on mathematical models in biology, including topics such as the growth of populations, the interactions between different populations, the spread of epidemics, the Hardy-Weinberg law in genetics, and drug levels in the bloodstream. The emphasis will be on determining the mathematical component of a phenomenon, creating an appropriate mathematical model, using the model to answer questions about the situation, and interpreting the effectiveness of the model. Technology will be used as an exploratory tool. Prerequisite(s): MTH 151 or MTH 236 or equivalent; one semester of biology (4,0) 4 credits
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3.00 Credits
Essential structures of modern algebra: sets, relations, groups, homomorphisms, and rings will be studied with a view toward their applicability. Applications may include error correcting codes, computational complexity, and counting problems. Prerequisite(s): MTH 151 and MTH 245, or equivalent (3,0) 3 credits
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3.00 Credits
This course introduces the basic concepts and some fundamental results of Point Set Topology. Some of the topics covered are: Open sets and the notion of continuity on the real line, Euclidean spaces, metric spaces, and on general topological spaces; connectedness and compactness; countability and separation; the Tychonoff theorem. Prerequisite(s): MTH 252, MTH 290 (3,0) 3 credits
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3.00 Credits
This course will apply the techniques of Real Analysis to solve problems in Science and Engineering. Applications will be taken from a variety of areas. Prerequisite(s): MTH 252 (3,0) 3 credits Fall
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3.00 Credits
This course is a continuation of Applied Mathematical Analysis and to those techniques developed. It concentrates on topics in the complex domain. These topics are essential in understanding many applications in Engineering and Physics. Prerequisite(s): MTH 252 (3,0) 3 credits Spring
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3.00 Credits
This is a new integrated math-physics course with applications to topics in physics and the engineering technologies. It is meant to be interdisciplinary in nature and directed toward students in the Bachelor of Technology and Applied Math Programs. Topics to be covered include: Vector Algebra, Vector Calculus, Scalar and Vector Field Theory, Fourier Series, Fourier Integral, Fourier Transforms and Laplace Transforms. The focus will be on application and integration of math methods to physics and engineering technologies. Note: Students completing this course may not receive credit for PHY 356 Prerequisite(s): MTH 236 or MT H252 and PHY 136 or PHY 144 (3,0) 3 credits
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3.00 Credits
A calculus-based course which studies applications of probability and statistical inference. Use of appropriate computer packages forms an integral part of the course. Topics are chosen from statistical parameters, continuous and discrete random variables, probability distributions, correlation and regression analysis, design of experiments and ANOVA. Prerequisite(s): One year of calculus (3,0) 3 credits Fall, Spring
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3.00 Credits
This course is an introduction to partial differential equations. Topics to be covered include introduction to heat, wave, and Laplace equations, Fourier series, detailed analysis of numerical methods, science applications. The usage of an appropriate computer package is an integral part of the course. Prerequisite(s): MTH 253 (3,0) 3 credits
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3.00 Credits
This course is intended to focus on understanding, formulating, and solving deterministic models in operations research. Maximum and Minimum Linear Programming problems will be studied graphically and theoretically. The Simplex Method, Sensitivity Analysis and Duality will be covered and an indepth analysis of the reasoning on which these topics are based will be given. Instruction in computer software techniques will be presented to solve Linear Programming problems, using the simplex method and sensitivity analysis. Transportation Problems, Integer Programming, or Markov Chains will be covered. In order to enhance quantitative reasoning, the course emphasizes the formulation of mathematical models commonly used by operation research analysts, as well as the theoretical and computer software solutions to these models. Prerequisite(s): BUS 240 or MTH 103 or MTH 110 or MTH 102 or MTH 360 or equivalent (3,0) 3 credits Fall, Spring
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3.00 Credits
This is a seminar course where students will work on a vari-ety of nonroutine problems chosen by the instructor and pre-sent their solutions (or partial solutions). Students will also work on a major research project under the guidance of the instructor and will report their results. Cooperative work will be encouraged and much of the work will be of an "open ended" nature. Communication skills will be stressed. Prerequisite(s): By permission of the department MTH252, MTH245, MTH250, or MTH253 (3,0) 3 credits
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