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Course Criteria
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3.00 Credits
An introduction to the theory of probability and the role of proofs in mathematics. Topics include discrete and continuous probability functions, random variables, expectations, moments, moment generating functions, the central limit theorem, and Chebyshev's inequality. Applications of probability such as queuing theory, Markov processes, and reliability theory also will be covered. Three hours of class per week. Prerequisite(s): MTH 152; Linear Algebra recommended.
Prerequisite:
MTH152
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3.00 Credits
Foundations for abstract analysis, real and complex number systems, elements of point set topology and limits, continuity, and derivatives. Prerequisite(s): MTH 222 or equivalent.
Prerequisite:
MTH222
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3.00 Credits
Introduction to elements of modern abstract algebra, including rings, groups, and fields.
Prerequisite:
MTH221
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3.00 Credits
A study of specialized topics in differential, integral and vector calculus; sequences and infinite series; improper integrals; Fourier series; orthogonal functions; and functions of a complex variable. Three hours of class per week. Prerequisite(s): MTH 241
Prerequisite:
MTH241
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3.00 Credits
A study of some specialized topic in mathematics not ordinarily treated in one of the regular course offerings. Three hours of class per week. Prerequisite(s): Permission of the instructor.
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3.00 Credits
Numerical methods and mathematical models used in computational science, including techniques for solving scientific problems, scientific visualization, and vector, parallel, distributed and massively parallel architecture. Three hours of class per week. Prerequisite(s): MTH 241, CMP 202, and permission of the instructor.
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3.00 Credits
Numerical methods and mathematical models used in computational science, including techniques for solving scientific problems, scientific visualization, and distributed and massively parallel architecture.
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3.00 Credits
This course examines Italian, French, and German operas from the Classical period through the 19th century. A study of components of operatic form (e.g. recitative, aria, ensemble) and musical characteristics of historical periods, national styles, and individual composers is implemented through musical examples and readings. Voice types/classifications and character interpretations are discussed.
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3.00 Credits
This course explores the evolution of American and British popular music from about 1950 to the present day. Musical styles are studied and contextualized with an examination of related cultural, social and political trends. Attention is given to issues and constructions of race and gender as they relate to course material, particularly the changing role and status of women in American and British popular music. This course also introduces fundamental music terminology that is germane to the study of popular music.
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3.00 Credits
The course introduces fundamental terminology and theoretical concepts associated with common practice Western art music. Specific topics covered include notation, scales, intervals, triads, rhythm, form and basic aural skills. This course provides the requisite knowledge necessary for MUS161: Music Theory I.
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