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Course Criteria
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3.00 Credits
A continuation of Math 345 covering the topics of contingency tables, multiple regression, analysis of variance, and other special topics in Mathematical Statistics. Prerequisite: Math 345 with a minimum grade of "C".
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3.00 Credits
A study of modern methods of cryptography and their applications. Topics include the Data Encryption Standard, the RSA public-key cryptosystem, and Digital Signatures. Prerequisite: Math 317-415 with a grade of "C" or better.
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3.00 Credits
An introduction to abstract algebra and its applications to error-correction codes, cryptography, polynomial algorithms and Fast Fourier Transforms. Prerequisite: Math 317 and Math 320.
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3.00 Credits
This course is to give students a solid background in theoretical undergraduate analysis with the theory and deeper understanding of calculus stressed. Students are introduced to proofs that motivate them toward clear thought and understanding of limits, continuity, differentiation, and series. This provides a rigorous training in mathematical thinking. Prerequisite: Math 301, Math 320, and Math 273 with a minimum grade of "C".
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3.00 Credits
An introduction to the properties of analytic functions. Topics include mappings, limits, continuity, differentiation, Cauchy-Riemann equations, harmonic functions, multi-valued functions and branch points, definite integrals and the Cauchy-Goursat theorem, Cauchy intefral formula, maximum modulus theorem, Liouville's theorem, fundamental theorem of algebra, Taylor and Laurent series, residues and poles. Prerequisite: Math 425 with a minimum grade of "C".
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4.00 Credits
A study of problem solving techniques and the applications of such techniques to challenging problems in mathematics. In addition, students will be required to demonstrate mastery of the fundamentals of undergraduate mathematics by passing a series of examinations on college algebra, trigonometry, calculus, and linear algebra. Prerequisite: Math 273 and Math 320 with a grade of "C" or better.
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3.00 Credits
A study of advanced topics in linear algebra and the theory of matrices with emphasis on computer-based applications. Similarity, characteristic and minimal polynomials, diagonalizable matrices and symmetric matrices, Jordan canonical form, vector and matrix norms, spectral radius, stable matrices, functions of matrices, non-negative matrices and Perron-Frobenius theory, differential equations, stability, location of eigenvalues, Rayleigh quotient and Gersgorin's Theorem. Prerequisite: Math 317, Math 320 and Math 325 with a minimum grade of "C".
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3.00 Credits
Seminar course in a topic or topics in mathematics.
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3.00 Credits
Introductory matrix analysis for statistics, multivariate distributions, multiple regression, multiple analysis of variance and covariance, principal component analysis, and canonical correlations. Prerequisite: Math 320 with a minimum grade of "C".
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3.00 Credits
A continuation of Math 460, including discriminant analysis, factor analysis, categorical techniques, distance concepts, and cluster analysis. Prerequisite: Math 460 with a minimum grade of "C".
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