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Course Criteria
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1.00 Credits
This course is an extension of geometry into non-Euclidean forms. (fall even)
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4.00 Credits
This course is a continuation of the calculus sequence. Topics include: vector calculus, functions of several variables, higher level partials and applications, double integrals and multiple integrals. (fall odd) Prerequisite: MTH 210
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4.00 Credits
In this course students will learn Gaussian elimination, vector spaces and subspaces, orthogonal projections and least squares fitting of data, the pseudoinverse, determinants, eigenvalues and eigenvectors. (fall odd)
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3.00 Credits
In this course students will learn solution of nonlinear equations, interpolating polynomials, numerical integration, numerical differentiation, method of undetermined coefficients, numerical solution of ordinary differential equations, sets of equations and boundary value problems. (fall even) Prerequisite: MTH 210
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3.00 Credits
Students will study of the fundamental methods of solving ordinary differential equations and their applications. (spring odd) Prerequisite: MTH 210
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4.00 Credits
In this course, students will learn rings, sets, integral domains, properties of the integers, fields and the rational numbers, real and complex numbers, groups and polynomials. (spring even)
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2.00 Credits
Students will learn contemporary mathematics, research readings, creative work in major area. This is the terminal course for mathematics majors. (spring)
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3.00 Credits
This is an integrated course in basic musicianship approached through the four common elements-duration, pitch, timbre and amplitude. Study of music fundamentals (great staff notation, key signatures and meters, accidentals, clefs), ear-training, sight-reading, functional keyboard, rhythmic and melodic dictation intervals, basic scales, major and minor triads. Non-majors must consult with instructor prior to registration. (fall)
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3.00 Credits
A continuation of MUS 100. Deals with structure of tonality. Study of triads and inversions, doubling, spacing and voice leading, phrase structure and cadences, harmonic progressions, technocracies of harmonization and non-harmonic tones. Further study of ear-training, sight-reading, rhythmic and melodic dictation and keyboard harmony. Prerequisite: MUS 100. (spring)
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3.00 Credits
This course is a continuation of MUS 101. Students will study modulation, seventh, ninth chords, augmented sixth chords and altered chords. Advanced study of eartraining, sight-reading, rhythmic and melodic dictation and keyboard harmony. (fall) Prerequisite: MUS 100 and MUS 101.
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