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MATHEMATICS 307: Numerical Analysis
3.00 Credits
Illinois Wesleyan University
Numerical processes and error estimates relating to nonlinear equations, linear systems of equations, polynomial interpolation and approximation, spline functions, numerical integration and differentiation, and initial-value problems in ordinary differential equations. Prerequisite: 215, and either 263 or 166. Offered fall of even-numbered years.
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MATHEMATICS 307 - Numerical Analysis
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MATHEMATICS 310: Combinatorics and Graph Theory
3.00 Credits
Illinois Wesleyan University
Topics to include basic counting techniques (counting principles, binomial identities, inclusion/exclusion, recurrences, and generating functions), an introduction to graph theory, and extremal problems. Prerequisite: 200, and either 267 or 263. Offered spring semester of even-numbered years.
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MATHEMATICS 310 - Combinatorics and Graph Theory
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MATHEMATICS 311: Parallel Computing
3.00 Credits
Illinois Wesleyan University
Theory of parallel computation including parallel architectures, processor communication schemes, algorithm complexities, and scalability. Applications of parallel computation, including cellular automata, neural networks, and numerical linear algebra. Prerequisite: CS 127,Math 263 or 166,Math 215, and consent of instructor. Offered occasionally.
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MATHEMATICS 311 - Parallel Computing
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MATHEMATICS 324: Probability
3.00 Credits
Illinois Wesleyan University
An introduction to probability; random variables with discrete and continuous distributions, independence and conditional probabilities, distributions and expectations of random variables, moment generating functions, joint distributions. Prerequisite: 215, and either 263 or 166. Offered each fall.
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MATHEMATICS 324 - Probability
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MATHEMATICS 325: Mathematical Statistics
3.00 Credits
Illinois Wesleyan University
Transformation of random variables, order statistics, central limit theorem, estimation and hypothesis testing; point estimation, interval estimation, sufficient statistics, most powerful tests, likelihood ratio tests, chi-square tests. Prerequisite: 324. Offered each spring.
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MATHEMATICS 325 - Mathematical Statistics
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MATHEMATICS 330: Linear Programming
3.00 Credits
Illinois Wesleyan University
Convex sets; primal, dual, and other simplex procedures; duality, linear complementarity, Lemke's complementary pivoting algorithm, transshipment problems, other applications and topics. Prerequisite: 215, and either 263 or 166. Offered each spring of even-numbered years.
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MATHEMATICS 330 - Linear Programming
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MATHEMATICS 340: Differential Equations
3.00 Credits
Illinois Wesleyan University
Topics may include, but are not limited to, first-order equations, linear higher order equations, systems of differential equations, series solutions, Laplace transforms, and other selected topics. Prerequisite: 263 or 166. Offered each spring.
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MATHEMATICS 340 - Differential Equations
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MATHEMATICS 351: Wavelet Analysis
3.00 Credits
Illinois Wesleyan University
Topics to be covered include some basic properties of the functions of one complex variable, spline functions, inner product spaces, Fourier series, Fourier transform, multiresolution analysis, Haar wavelet analysis, Daubechies wavelets, Frances and multiwavelets. Prerequisite: 215, and either 264 or 267. Offered spring of oddnumbered years.
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MATHEMATICS 351 - Wavelet Analysis
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MATHEMATICS 360: Topics in Logic
3.00 Credits
Illinois Wesleyan University
Investigations of topics in formal logic. Covers soundness, completeness, and undecidability of classical predicate logic. Additional topics might include incompleteness, non-classical logics (e.g., modal, intuitionistic, many valued), computer implementations, and logic programming. Students will complete a final project relative to the rubric (Computer Science,Mathematics, Philosophy) chosen at registration. Prerequisite: 200. Offered in alternate years.
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MATHEMATICS 360 - Topics in Logic
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MATHEMATICS 370 /470: Topics inMathematics
3.00 Credits
Illinois Wesleyan University
Topics in pure and applied mathematics not covered in other offerings. Math 470 will be proof oriented. May be repeated for different topics. Prerequisite: varies with the topic. Offered as needed.
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MATHEMATICS 370 /470 - Topics inMathematics
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