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Course Criteria
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3.00 Credits
An introduction to linear programming. The course will include a study of the simplex method as well as using computers to solve linear and nonlinear problems. As time permits, topics covered will include sensitivity analysis, duality, integer programming, transportation, assignment, transshipment, network, game theory, Markov processes, queuing theory, simulation, and forecasting. Credit for both MA 458 and MA 567 is not allowed.
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3.00 Credits
An introduction to formal first-order logic, first-order metatheory, and its extensions. Topics include axiom systems and their models, completeness, compactness, and recursive sets and functions. Identical with PHL 467. Credit cannot be received for both PHL 467 and MA 467.
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3.00 Credits
This course gives an introduction to classical and modern methods of message encryption and decryption (cryptography) as well as possible attacks to cryptosystems (cryptanalysis). Topics include information theory, classical (symmetric) cryptosystems (DES, AES), public-key (asymmetric) cryptosystems (Diffic-Hellman, RSA, ElGamal), one-way and trapdoor functions, Hash functions, cryptanalysis, cryptographic protocols (identification, authentication, secret sharing, oblivious transfer, zero-knowledge), e-money and ecommerce. Credit for both MA 481 and MA 581 is not allowed.
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1.00 - 3.00 Credits
Selected topics in advanced undergraduate mathematics. This course may be repeated for a maximum of six credits.
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1.00 - 3.00 Credits
Directed individual study. Requires permission of department chair.
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3.00 - 6.00 Credits
With the guidance and advice of a faculty mentor, honors students will identify, and carry out a research project in Mathematics. The outcome of the research project will include a formal presentation at the annual Honors Student Colloquium. The senior project will be judged and graded by three members of the faculty, chaired by the faculty mentor.
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3.00 Credits
A case study of axiom systems and the deductive method for graduate students in Mathematics Education. It is expected that students in this course will practice and improve their logical skills, better understand proof as a mathematical activity, and study the similarities and differences between several commonly used number systems.
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3.00 Credits
An introduction to the fundamental concepts of modern algebra such as groups, rings, and fields through concrete examples. This course is designed for graduate students in the College of Education.
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3.00 Credits
A careful look at the elements, procedures, and applications of differential and integral calculus. This course is designed for graduate students in the College of Education.
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3.00 Credits
An introduction to the foundations of geometry using both synthetic and metric approaches. Euclidean, finite, projective, and hyperbolic geometrics are discussed. The axioms for various geometries are discussed. The course is designed for graduate students in the College of Education.
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