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MTH 323: Complex Analysis
4.00 Credits
Walsh College of Accountancy and Business Administration
4 credits MTH 210 Introduction to the theory of functions of a single complex variable. Analytic functions, complex series, Cauchy's theorem and conformal mapping.
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MTH 323 - Complex Analysis
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MTH 336: Numerical Analysis
4.00 Credits
Walsh College of Accountancy and Business Administration
4 credits MTH 122 and CSC 120 Analysis and implementation of numerical algorithms for approximating functions, derivatives and integrals, and for solving nonlinear equations, ordinary differential equations and systems of linear equations. Discussion of standard software packages and techniques for writing efficient and reliable mathematical software in Pascal and/or FORTRAN.
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MTH 336 - Numerical Analysis
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MTH 341-*342: Probability and Statistics
4.00 Credits
Walsh College of Accountancy and Business Administration
4 credits each MTH 122 for 341; MTH 341 for 342 Introduction to mathematical theory of probability and statistical inference. Includes data analysis and presentation, discrete and continuous probability models, random variables, mathematical expectation, generating functions, estimation, hypothesis testing, sampling distributions, regression, correlation, time series and other selected topics.
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MTH 341-*342 - Probability and Statistics
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MTH 351: Elementary Number Theory
4.00 Credits
Walsh College of Accountancy and Business Administration
4 credits MTH 223 Study of integers, including divisibility, the theory of prime numbers, congruences and solutions of equations in integers.
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MTH 351 - Elementary Number Theory
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MTH 380: Topics in Mathematics
4.00 Credits
Walsh College of Accountancy and Business Administration
4 credits Selected topics of current or historic importance. Background prerequisites vary with topics.
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MTH 380 - Topics in Mathematics
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MTH 390: Combinatorics
4.00 Credits
Walsh College of Accountancy and Business Administration
4 credits MTH 120 or 122 Introduction to combinational theory. Topics include enumeration, recurrence, generating functions, graph theory and optimization.
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MTH 390 - Combinatorics
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MTH 391: Introduction to Graph Theory
4.00 Credits
Walsh College of Accountancy and Business Administration
4 credits MTH 122 or Permission Introductory survey of the major concepts and applications of graphs, digraphs and networks. Application areas include transportation, traffic flow, games and puzzles.
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MTH 391 - Introduction to Graph Theory
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MTH 399: Independent Study
1.00 - 4.00 Credits
Walsh College of Accountancy and Business Administration
1-4 credits Permission
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MTH 399 - Independent Study
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MTH 411: College Geometry
4.00 Credits
Walsh College of Accountancy and Business Administration
4 credits MTH 223 Axiomatic systems, models, finite geometries, Hilbert's axioms, independence of the parallel postulate, and introduction to non-Euclidean geometries with emphasis on hyperbolic geometry.
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MTH 411 - College Geometry
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MTH 413: Topology
4.00 Credits
Walsh College of Accountancy and Business Administration
4 credits MTH 223 Introduction to point-set topology. Includes topological properties of Euclidean spaces, abstract spaces and metric spaces. Explores connectedness, compactness, continuity and homeomorphisms.
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MTH 413 - Topology
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