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MTH 420: Number Theory
3.00 Credits
Rider University
3 credits Covers topics including divisibility theory, the prime numbers, the theories of congruences and of quadratic reciprocity, and Fermat's Last Theorem. Other topics may also include applications to cryptography, Pell's equations, continued fractions, and the theory of partitions. Prerequisite: MTH-240 or permission of instructor.
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MTH 420 - Number Theory
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MTH 430: Introduction to Topology
3.00 Credits
Rider University
3 credits A comprehensive introduction to elementary topology. The concepts of topological spaces and metric spaces will be introduced. Connectedness, compactness and properties of subsets of the real numbers rooted in topology will also be considered. The quotient topology will be used to construct surfaces as identification spaces, and tools will be developed to distinguish one surface from another. Prerequisite: MTH-212.
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MTH 430 - Introduction to Topology
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MTH 440: Real Analysis
3.00 Credits
Rider University
3 credits Covers the theory of sets, the real number system and its properties, convergence of sequences and series of numbers and functions, and the theory of integration, including: measure theory, the Riemann integral, and introduction to the Lebesque theory of integration. Pre- or corequisite: MTH-308.
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MTH 440 - Real Analysis
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MTH 490: Independent Research and Study
4.00 Credits
Rider University
1-4 credits
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MTH 490 - Independent Research and Study
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MUS 105: Survey of Music History I
3.00 Credits
Rider University
3 credits A chronological survey of Western music from the Medieval through the Baroque periods stressing the origin and evolution of musical forms, musical styles, and the important composers before 1750. The relation between the music and the aesthetic movements of each period is studied. Fall.
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MUS 105 - Survey of Music History I
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MUS 106: Survey of Music History II
3.00 Credits
Rider University
3 credits A chronological survey of Western music from the classical through the contemporary periods stressing the origin and evolution of musical forms, musical styles, and the important composers since 1750. The relation between the music and the aesthetic movements of each period is studied. Spring.
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MUS 106 - Survey of Music History II
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MUS 110: Elementary Music Theory
3.00 Credits
Rider University
3 credits A practical introduction to the basic elements of music, beginning with the reading of music notation. Practice in scales and chords; ear-training in rhythm and pitch. Techniques may be applied to the student's own instrument (e.g., guitar, piano, winds) if he or she plays one. Fall.
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MUS 110 - Elementary Music Theory
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MUS 111: Intermediate Music Theory
3.00 Credits
Rider University
3 credits Continuation of Music 110, leading to some original composition. Prerequisite: MUS-110.
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MUS 111 - Intermediate Music Theory
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MUS 120: Music and Society
3.00 Credits
Rider University
3 credits Introduction to the basic elements of music (rhythm, melody, harmony, etc.) and the appreciation of representative types of music from all historical periods.
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MUS 120 - Music and Society
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MUS 127: Instrumental Ensemble-Band
1.00 Credits
Rider University
1 credit Ensemble rehearsal and performance of traditional and current concert band music. Maximum of eight credits are accepted in band, choir, and/or theater production.
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MUS 127 - Instrumental Ensemble-Band
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