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MAT 351: Differential Equations
3.00 Credits
Brevard College
Solution techniques for first order ordinary differential equations; second order linear differential equations and linear systems; series solutions; and Laplace transforms. Prerequisite: MAT 221. Offered spring of even-numbered years.
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MAT 361: Modern Algebra
3.00 Credits
Brevard College
Basic algebraic structures; a review of set theory; equivalence relations; theory of groups, rings, integral domains, and fields; quotient structures; homomorphisms; rational, real, and complex fields; and polynomial rings. Prerequisite: MAT 341. Offered fall of odd-numbered years.
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MAT 361 - Modern Algebra
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MAT 410: Euclidean Geometry
3.00 Credits
Brevard College
An axiomatic approach to the study and development of Euclidean geometry, with an introduction to non-Euclidean geometry. Prerequisite: MAT 200. Offered spring of even-numbered years.
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MAT 410 - Euclidean Geometry
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MAT 411: Real Analysis
3.00 Credits
Brevard College
A study of the real numbers including some topology of the real line; sequences and series; continuity, differentiation, integration, and sequences and series of functions. Prerequisites: MAT 200 and MAT 221. Offered fall of even-numbered years.
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MAT 412: Complex Variables
3.00 Credits
Brevard College
Algebra, topology, and geometric representation of complex numbers; analytic functions of a complex variable, including and MAT 351, or permission of instructor. Offered fall of even-numbered years. integration, Taylor and Laurent series, residues, and an introduction to conformal mapping. Prerequisite: MAT 231
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MAT 450: Math Seminar
1.00 Credits
Brevard College
Written and oral presentations by students of the results of extensive research on advanced topics selected by the faculty and students. Prerequisite: permission of instructor. Offered fall semester.
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MAT 450 - Math Seminar
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MUS 101: Music Appreciation
3.00 Credits
Brevard College
MUS 101 introduces students to important styles and periods of music history, promoting careful listening and appreciation of music for enjoyment and cultural purposes. Occasionally, some sections of the course focus on topics such as American music, musical theatre, or world music. Not open to music majors.
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MUS 101 - Music Appreciation
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MUS 103: Harmony I
3.00 Credits
Brevard College
Harmony I explores basic acoustics, melodic structure, triads, and seventh chords with inversions, and non-chord tones, among other things. Corequisite: MUS 105. Offered each fall.
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MUS 104: Harmony II
3.00 Credits
Brevard College
Harmony II gives students basic studies in first species counterpoint, principles of four-part voice leading, dominant and leading tone chords, secondary chord functions, and form. Prerequisite: MUS 103; Corequisite: MUS 106. Offered each spring.
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MUS 105: Sight-Singing and Dictation I
1.00 Credits
Brevard College
Sight Singing and Dictation I provides students with methodology and basic skills for learning sight singing and musicianship skills. Using solfege as an instructional vehicle, the students sing major and minor scales, and melodies with intervals up to a fourth in treble and bass clef. Basic harmonic progressions focus on simple cadential formulae, and the student performs basic two-part sing-play exercises. Rhythmic subdivision up to 16th notes and 8th note triples are explored. Memorization and note-name transposition of melodies is begun. Dictation as a regular drill is done in the computer lab. Corequisite: MUS 103. Offered each fall.
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