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Course Criteria
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0.00 - 3.00 Credits
Divisibility, primes, congruencies, quadric reciprocity, Diophantine equations and simple continued fractions. Prerequisite: Six academic hours of mathematics at or above the level of MTH 1341, excluding MTH 2301.
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0.00 - 3.00 Credits
The basic concepts of groups, rings, integral domains, fields, isomorphism's, and group homomorphism. Prerequisite: Three academic hours of upper level mathematics.
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0.00 - 3.00 Credits
The extension of geometry concepts including the study of tessellations, transformations, isometrics, topology, and non-Euclidean geometries. Prerequisite: Six academic hours of mathematics at or above the level of MTH 1341, excluding MTH 2301.
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0.00 - 3.00 Credits
Methods of solution to ordinary differential equations, including exponential, complex exponential, Laurent series solutions and Laplace transforms. Applications to simple harmonic motion, mixing problems and logistic problems. Phase portrait analysis and application to predator-prey and soft-spring problems. Prerequisite: MTH 3410 Calculus III.
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0.00 - 3.00 Credits
Topics discussed include applications of mathematics to business statistics (basic concepts), history of mathematics, problem solving using a graphic calculator and a computer, and discrete mathematics (introduction). Prerequisite: MTH 2402 Calculus II.
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0.00 - 3.00 Credits
Construction of the real numbers and rigorous study of their properties, including topological considerations, limits of sequences, continuity and differentiation of functions, the Riemann and Lebesgue integrals, and the topologies of function spaces. Prerequisite: MTH 3410 Calculus III and one other 3000-level mathematics course.
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0.00 Credits
Convergence properties of infinite series and power series, the calculus and geometry of vector-valued functions, the calculus and geometry of multi-variable functions, Divergence Theorem, Green's Theorem and Stokes' Theorem. Prerequisite MTH 2402 Calculus II.
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0.00 Credits
Infinite series, ordinary differential equations, practical differential equations, partial differential equations, and Fourier series. Prerequisite: MTH 2402.
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0.00 - 3.00 Credits
Applications to abstract algebraic and number theoretic concepts to the science of secure cryptography. Topics include historical ciphers, public-key cryptography, signed messages, secure protocols, and cryptanalysis, especially as these deal with electronic communications. Prerequisite: MTH 3313 Number Theory or MTH 3315 Abstract Algebra and the ability to code algorithms in a computer language. Return to Table of Contents 15.04.32 Music
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0.00 - 1.00 Credits
Piano-Keyboard
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