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Course Criteria
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3.00 Credits
(3-0) 3 credits. Prerequisite: MATH 321 and CSC 150 or permission of instructor. This course is an introduction to numerical methods. Topics include elementary discussion of errors, polynomial interpolation, quadrature, non-linear equations, and systems of linear equations. The algorithmic approach and efficient use of the computer will be emphasized. Additional topics may include: calculation of eigenvalues and eigenvectors, numerical differentiation and integration, numerical solution of differential equations.
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3.00 Credits
(3-0) 3 credits. Prerequisite: MATH 125 and prerequisite or corequisite: MATH 225. Introduction to probability theory, discrete and continuous distributions, sampling distributions and the Central Limit Theorem with general principles for statistical inference and applications of random sampling to hypothesis testing, confidence limits, correlation, and regression. This course is cross-listed with IENG 381. Individuals may apply at most 4 credits toward a degree from the following list of courses: MATH 281, IENG/MATH 381, MATH 441.
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3.00 Credits
(3-0) 3 credits. Prerequisite: MATH 381. Review of general principles of statistical inference, linear regression and correlation, multiple linear regression, ANOVA, and statistical design of experiments. This course is cross-listed with IENG 382.
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1.00 - 5.00 Credits
1 to 5 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 five (5) credit hours.
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1.00 - 5.00 Credits
1 to 5 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 five (5) credit hours.
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1.00 Credits
(1-0) 1 credit. Prerequisite: MATH 498. The student will produce a word-processed technical report of research conducted in MATH 498 and give a department colloquium talk summarizing her or his work. Department faculty member(s) will provide guidance in the production of the technical report and in the preparation for the colloquium talk.
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3.00 Credits
(3-0) 3 credits. Prerequisites: MATH 225 and CSC 251 or MATH 225 and MATH 221 or permission of instructor. Introduction to the theory and applications of algebraic structures including groups, rings, and fields.
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3.00 Credits
(3-0) 3 credits. Prerequisite: MATH 225. The algebra of complex numbers; complex functions; contour integration and Cauchy integral theorems; Taylor and Laurent series and the residue theorem; the evaluation of real definite integrals; elementary mapping problems.
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4.00 Credits
(4-0) 4 credits each. Prerequisite: MATH 225 and CSC 251 or MATH 225 and MATH 221 or permission of instructor. Prerequisite for MATH 424 is MATH 423. A theoretical treatment of Calculus that covers: limits; continuity and differentiability of functions of a single variable and of several variables; convergence of sequences and series; integration; and applications.
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3.00 Credits
(3-0) 3 credits. Prerequisites: MATH 315 or permission of instructor. This course is a study of both discrete and continuous dynamical systems. Topics include analysis of planar autonomous systems, stability analysis, bifurcation, chaos, and strange attractors. In addition, this course may include the study of Van der Pol's equation, Lorenz equations, Duffing's equation, Hamiltonian systems, and Poincare maps.
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