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Course Criteria
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3.00 Credits
This course provides an introduction to numerical methods and the analysis of these methods. Topics include floating point arithmetic, error analysis, solution of non-linear equations, interpolation and approximation, numerical differentiation and integration, and the solution of linear systems. Prerequisites: MATH 222, MATH 233, MATH 239 or permission of the instructor, and one of CSCI 119 or CSCI 120. Credits: 3(3-0). Offered every fall.
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3.00 Credits
This course provides an investigation of advanced topics in numerical analysis. Topics include the numerical solution of ordinary differential equations, boundary value problems, curve fitting, and eigenvalue analysis. Prerequisites: MATH 345. Credits: 3(3-0). Offered spring, even years.
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3.00 Credits
In this course, the student will research a mathematical topic and prepare for an oral presentation based on that research. The student will learn about research resources such as journals and electronic databases. Students will learn mathematical writing conventions and presentation techniques. Students will prepare a talk of at least one half hour in length to be presented in a public forum. Prerequisites MATH 239 and permission of the instructor. Co-requisite: Student must be a mathematics major who is simultaneously enrolled in a 300 level mathematics course. Credits: 1(0-2). Offered once a year or more often if demand is sufficient.
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3.00 Credits
The course develops and expands upon certain topics in multivariate calculus. This includes the algebra and geometry of vectors, real and vector functions of one and several variables, curves, scalar and vector fields, vector differential and integral calculus, applications to geometry. Prerequisites: MATH 223. Credits: 3(3-0). Offered spring, odd years.
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3.00 Credits
Topics include probability definitions and theorems; discrete and continuous random variables including the binomial, hypergeometric, Poisson and normal random variables; and the applications of probability to such statistical topics as sampling distributions, point estimation, confidence intervals, and/or tests of hypothesis. Both the theory and applications of probability and statistics will be included. Prerequisites: MATH 223 or permission of the instructor. Credits: 3(3-0).
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3.00 Credits
A continuation of MATH 360 including additional topics in probability, sampling distributions, point and interval estimation, and tests of hypothesis. Topics also include: regression and correlation, the analysis of variance, and nonparametric statistics. Prerequisites: MATH 360 or permission of the instructor. Credits: 3(3-0). Offered every spring.
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3.00 Credits
This advanced problem-solving seminar provides an opportunity for students to prepare for entrance into the actuarial profession. Students are expected to demonstrate their mathematical maturity by solving challenging problems that arise in risk analysis utilizing the underlying concepts of calculus and probability. Prerequisites: MATH 360 and permission of the instructor. Credits: 2(1-2).
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3.00 Credits
A study of complex numbers, complex differentiation and integration, mappings, power series, residues, and harmonic functions, with particular emphasis on those topics which are useful in applied mathematics. Optional topics: conformal mappings and analytic continuation. Prerequisites: MATH 223 and MATH 239 or permission of instructor. Credits: 3(3-0). Offered every fall.
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3.00 Credits
An introduction to those equations which play a central role in many problems in applied math and in physical and engineering sciences. Topics include first-order equations, the most useful second-order equations (e.g. , Laplace's wave and diffusion), and some methods for solving such equations, including numerical techniques. Modeling for the motion of a vibrating string and conduction of heat in a solid body are emphasized. Prerequisites: MATH 326. Credits: 3(3-0). Offered spring, even years.
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3.00 Credits
An exploration of an advanced topic that extends the breadth and/or depth of the undergraduate mathematical experience. May be taken twice under different subtitles. Prerequisites: Completion of five courses toward the major in Mathematics or permission of instructor. Credits: 3(3-0). Offered when demand is sufficient.
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