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Course Criteria
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3.00 Credits
3 credits Prerequisite: MTH 361. Study of continuous distribution, the normal, uniform, and gamma distributions, the Central Limit Theorem, and normal approximations to the sample mean and sample proportion. Statistical inference, confidence intervals, hypothesis testing. Applications of the chi-square and F distributions, contingency tables, linear regression and correlation, analysis of variance. Non-parametric statistics. Case studies.
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3.00 Credits
3 credits Prerequisites: MTH 142. Mathematical modeling of social phenomena. Theory of social choice. Models involving signed digraphs, differential and difference equations, game theory, and linear programming. Applications in ecology, demography, political science, economics.
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3.00 Credits
3 credits Prerequisite: MTH 361 and CSC 171 or CSC 160. Basic elements of queueing theory, arrival patterns, queue discipline, system capacity, number of servers, priority queues, network design. Theory of stochastic processes, discrete and continuous-time Markov chains, the Poisson Process, birth-death systems, and their relation to queueing systems.
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3.00 Credits
3 credits Prerequisites: MTH 142 and CSC 171 or CSC 160. Applications of programming to problems of the calculus. Interpolation, numerical integration, least square curve fitting, determination of the roots of algebraic and transcendental equations, solutions of simple differential equations.
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3.00 Credits
3 credits Prerequisite: Permission of department.
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3.00 Credits
3 credits Prerequisite: MTH 243 and MTH 301. The real numbers as a complete ordered field. Topology of the real line. Sequences and series. Functions of a single variable, limits and continuity; differentiability and mean value theorems. Riemann Integral. Fundamental theorem of the calculus. Improper integrals.
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3.00 Credits
3 credits Prerequisites: MTH 253 and MTH 301. The study of algebraic constructs, including groups, rings, and fields. Permutation groups, subgroups, normal subgroups, homomorphisms, quotient groups, fundamental isomorphism theorems. Cayley’s Theorem, Sylow theorems. Commutative rings, integral domains, ideals, prime and maximal ideals, quotient rings, ring homomorphisms. Polynomial rings. Introduction to Galois theory.
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6.00 Credits
1 C6 credits Prerequisite: Permission of department.
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3.00 Credits
1 C3 credits Permission of department. Selected topics in advanced mathematics. Most recent topic has been Graph Theory.
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3.00 Credits
I 3 credits Corequisite: MUA 112. Techniques of tonal harmony presented from written and analytic perspectives, beginning with a review of rudiments and continuing through the study of fundamentals of diatonic harmony. Four-part harmonization and analysis are included.
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