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Course Criteria
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3.00 Credits
(3-0) 3 credits. Prerequisites: MATH 225 and MATH 321. Fourier series, partial differential equations, Frobenius series, Bessel functions, and transform methods.
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4.00 Credits
(4-0) 4 credits. Prerequisite: MATH 225. An introduction to the core ideas in probability and statistics. Computation of probabilities using, for instance, counting techniques and Bayes' rule. Introduction to discrete and continuous random variables, joint and conditional distributions, expectation, variance and correlation, random sampling from populations, hypothesis tests and confidence intervals, and least squares. Other topics include building multiple regression models, parameter estimation, and reliability. Individuals may apply at most 4 credits toward a degree from the following list of courses: MATH 281, IENG/MATH 381, and MATH 441.
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3.00 Credits
(3-0) 3 credits. Prerequisite: MATH 382 or MATH 441 or permission of instructor. Single and multifactor experiments, analysis of variance, factorial designs, the use of multiple regression, and response surface methodology. Topics may include nonparametric and permutation/randomization alternatives to the traditional parametic tests. Students enrolled in MATH 547 will be held to a higher standard than those enrolled in MATH 447.
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3.00 Credits
(3-0) 3 credits. Prerequisites: MATH 321 or permission of instructor. The primary goal of this course is to present the mathematical formulation and analysis utilized in scientific modeling. Applications from both Science and Engineering will be covered. The types of models will include deterministic and stochastic models. Topics may include: epidemiology, biomass, elasticity, heat flow, electrical circuits, mechanical vibrations and optimization.
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3.00 Credits
(3-0) 3 credits. Prerequisite: MATH 373 or CSC 372 or permission of instructor. This course is an introduction to the elements of numerical analysis and modern scientific computing. The primary focus will be on the mathematical analysis of computational methods and the effective use of scientific computation as it relates to the needs of engineering and science. Topics will include: machine arithmetic and error analysis, the approximation of eigenvalues, and numerical solutions of ordinary differential equations. Additional topics in numerical analysis will be included as time permits.
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3.00 Credits
(3-0) 3 credits. Prerequisite: MATH 373 or CSC 372. Analysis of rounding errors, numerical solutions of nonlinear equations, numerical differentiation, numerical integration, interpolation and approximation, numerical methods for solving linear systems.
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3.00 Credits
(3-0) 3 credits. Prerequisites: IENG 381 or MATH 441 or permission of instructor. This course covers the development of statistical methods for application to problems in quality and process control. Statistical topics include: basics of processes and variability, statistically controlled processes, variable and attribute control charts, moving averages, individual trend and others, process capability, sampling plans for attributes and variables. This course is crosslisted with IENG 486.
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1.00 - 3.00 Credits
1 to 3 credits. Prerequisite: Permission of instructor. Includes directed study, problems, readings, directed readings, special problems and special projects. Students complete individualized plans of study which include significant one-on-one student-teacher involvement. The faculty member and students negotiate the details of the study plans. Enrollments are usually 10 or fewer students. Meeting depending upon the requirements of the topic. May be repeated to a total of three (3) credit hours.
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6.00 Credits
1 to 6 credits. Includes current topics, advanced topics and special topics. A course devoted to a particular issue in a specified field. Course content is not wholly included in the regular curriculum. Guest artists or experts may serve as instructors. Enrollments are usually 10 or fewer students with significant one-on-one student/teacher involvement. May be repeated to a total of six credit hours.
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1.00 Credits
(1-0) 1 credit. Prerequisite: Permission of instructor. Includes senior project, and capstone experience. Independent research problems/projects or scholarship activities. The plan of study is negotiated by the faculty member and the student. Contact between the two may be extensive and intensive. Does not include research courses which are theoretical.
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