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Mathematics |
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MA 250 Applied Calculus Course Credit: 1
Topics from algebra, differential and integral calculus. Emphasis on functions, difference equations, derivatives, integrals, applications.
Essential Ed Requirement: Mathematical Reasoning.
Prerequisite(s): MA 90 competency. Three years of high school mathematics (including one semester trigonometry) or MA 190 recommended.
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MA 251 Foundational Differential Calculus Course Credit: 0.5
Emphasis on fundamental analytic concepts of differential calculus.
Prerequisite(s): Three years of high school mathematics (including one semester trigonometry) or MA 190 recommended.
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MA 252 Foundational Integral Calculus Course Credit: 0.5
Emphasis on fundamental analytic concepts of integral calculus.
Essential Ed Requirement: Mathematical Reasoning.
Prerequisite(s): MA 251 .
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MA 255 Multivariable Calculus Course Credit: 1
Emphasis on functions of several variables, vector calculus, analytic geometry of three dimensions, partial derivatives, multiple integrals. Fall Term.
Prerequisite(s): MA 250 , MA 252 .
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MA 281 Field Experience Course Credit: 1
Supervised exploratory experience outside the classroom. Application of academic learning to practical experience. Not applicable toward major. P/D/F only.
Prerequisite(s): Second-year standing; 2.5 minimum cumulative grade point average.
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MA 295 Special Topics Course Credit: variable
Topics and credit vary. See course schedule.
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MA 300 Foundations of Analysis Course Credit: 1
Bridge between calculus sequence and advanced mathematics, attempting to foster “mathematical maturity,” appreciation of mathematics, competence working with complex mathematical statements, ability to write and comprehend mathematical proofs, skill in thinking and communicating in standard mathematical style and terminology. Winter Term odd years.
Prerequisite(s): Two MA course credits numbered 250 and above.
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MA 301 Linear Algebra Course Credit: 1
Systems of linear equations, linear transformations, determinants, algebra of matrices, theory of finite dimensional vector spaces. Computer use enhances topics. Winter Term.
Prerequisite(s): Two MA course credits numbered 250 and above.
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MA 302 Algebraic Structures Course Credit: 1
Introduction to abstract structures called groups, rings, integral domains, fields, which are extensions of algebra topics studied in high school. Background for graduate studies in mathematics and computer science and preparation for secondary teaching and other math-related careers. Fall Term odd years.
Prerequisite(s): MA 300 or MA 301 .
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MA 303 Discrete Structures Course Credit: 1
Graph theory, combinatorics, applications of sets, algebra. Useful to students in applied mathematics and computer science. Use of results and techniques from these areas to solve a variety of problems in finite mathematics. Additional topics may include recurrence relations, coding theory, finite state machines, Boolean algebra. Fall Term even years.
Prerequisite(s): MA 250 or MA 252 ; second-year standing.
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MA 304 Modern Geometries Course Credit: 1
Rigorous treatment of the foundations of Euclidean geometry and introduction to hyperbolic geometry. Solid axiomatic development of various geometries and introduction of historical and philosophical implications of non-Euclidean geometry. Examination of geometry as a description of the physical world. Fall Term even years.
Prerequisite(s): Two MA course credits numbered 250 and above.
Notes: Recommended for students planning to teach secondary mathematics.
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MA 305 Advanced Calculus Course Credit: 1
Reinforcement and solidification of learned calculus concepts. Emphasis on a greater depth of understanding. New topics include compactness, uniform continuity, uniform convergence. Winter Term even years.
Prerequisite(s): MA 250 , MA 252 .
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MA 307 Mathematical Modeling Course Credit: 1
“Real world” mathematical modeling situations. Challenges students to construct and/or select models creatively and analyze how well these models work. Emphasis on importance of using existing models and techniques and the necessity of adequately testing and refining results. May Term every third year.
Prerequisite(s): MA 250 , MA 252 ; MA 301 and CS 120 recommended.
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MA 312 Teaching Elementary School Mathematics Course Credit: 1
Current structures, techniques, resources available to elementary school mathematics teachers. Use of models and manipulatives in small-group teaching experiences in Waverly-Shell Rock schools and in the class.
Prerequisite(s): MA 111 .
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MA 313 Mathematical Probability and Statistics Course Credit: 1
Study of theoretical probability distributions that are models of empirical distributions of data generated through counts or measurements. Elementary probability and counting techniques, such as permutations and combinations. Continuous random variables modeling waiting time, lifetimes of components, masses of particles. Fall Term.
Prerequisite(s): MA 250 , MA 252 .
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MA 314 Statistical Applications Course Credit: 1
Application of statistical techniques currently used in different disciplines. Students will have the opportunity to talk with professionals in a variety of fields, gather data, develop a statistics model, draw conclusions or make predictions in order to assist in developing a solution. May Term every third year.
Prerequisite(s): MA 214 or MA 313 .
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MA 316 Actuarial Mathematics Course Credit: 1
Actuarial applications of calculus and probability. Present and accumulated value as used in reserving, valuation and pricing. Preparation for a career in actuarial sciences and first two actuary exams. Winter Term odd years.
Prerequisite(s): MA 313 .
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MA 371 Internship Course Credit: variable
Integration of classroom theory with planned and supervised periods of progressively challenging employment related to students’ career objectives. Course credit applied toward a major requires department approval. Possible off-campus costs. P/D/F only.
Prerequisite(s): Third- or fourth-year standing; MA 255 or MA 301 ; 2.5 grade point average, cumulative and in major; department approval.
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MA 372 Internship Course Credit: variable
Integration of classroom theory with planned and supervised periods of progressively challenging employment related to students’ career objectives. Course credit applied toward a major requires department approval. Possible off-campus costs. P/D/F only.
Prerequisite(s): Third- or fourth-year standing; MA 255 or MA 301 ; 2.5 grade point average, cumulative and in major; department approval.
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MA 395 Special Topics Course Credit: variable
Topics and credit vary. See course schedule.
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MA 399 Supplemental Instruction: Math Course Credit: 0.5
Teaching practicum in a specific area of study. Student SI leaders participate in leader training, attend classes for which they serve as leaders, prepare and lead study sessions that reinforce course content, model and teach effective study strategies. P/D/F only.
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MA 401 Differential Equations Course Credit: 1
Differential equations as a mathematical modeling technique and a solution technique for solving applied problems. Methods for solving differential equations, related concepts, theory, application. Winter Term even years.
Prerequisite(s): MA 250 , MA 252 ; MA 301 recommended.
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MA 403 Complex Variables Course Credit: 1
Differentiation and integration for functions of a complex variable and an alternate approach through power series expansions of such functions. Applications include fluid flow, electrostatics, boundary value problems, evaluation of real integrals. Winter Term odd years.
Prerequisite(s): MA 250 , MA 252 ; MA 255 , MA 301 recommended.
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MA 409 Numerical Analysis Course Credit: 1
Solutions of mathematical problems on computers. Emphasis on numerical integration and differentiation. Seminar with student presentations. May Term every third year.
Prerequisite(s): CS 120 ; MA 250 , MA 252 , MA 301 ; MA 255 recommended.
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MA 449 Mathematics Seminar Course Credit: 1
Student presentations on a topic in mathematics. Topic determined by student interest and previous training.
Prerequisite(s): MA 301 .
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MA 450 Independent Study Course Credit: variable
Individual study of a student-selected topic approved by faculty sponsor.
Prerequisite(s): MA 255 , MA 301 .
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MA 461 Perspectives in Mathematics Course Credit: 1
Readings, discussion, papers, presentations on the history and philosophy of mathematics and current ethical and social issues involving mathematics in society. Weekly discussions related to reading.
Essential Ed Requirement: Writing Intensive. Capstone.
Prerequisite(s): Fourth-year mathematics or mathematics teaching major, or final Fall Term on campus.
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MA 470 Secondary Content Methods: Mathematics Course Credit: 1
Precedes secondary student teaching with emphasis on introducing, developing, and practicing discipline-specific pedagogy and reviewing general teaching methods. Fall Term even years.
Prerequisite(s): ED 230 and admission to Teacher Education Program.
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MA 495 Special Topics Course Credit: variable
Topics and credit vary. See course schedule.
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Music |
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MU 090 Elementary Music Theory Course Credit: 0
A review course for students not meeting the entrance requirements of MU 105 .
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MU 105 Music Theory I Course Credit: 1
Elementary theory and ear training concepts. Seventh chords, figured bass, music vocabulary, chord structure, voice leading, melodic harmonization. Sight singing. Melodic and harmonic aural dictation. Fall Term.
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MU 106 Music Theory II Course Credit: 1
Intermediate theory and ear training concepts. Figured bass, non-harmonic devices, secondary chords, cadence and phrase structure, modulation, mode mixture, chromatic harmonies. Winter Term.
Prerequisite(s): MU 105 . Corequisite(s): MU 107 .
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MU 107 Aural Skills I Course Credit: 0.5
Sight singing of tonal and atonal music. Identification and dictation of intervals, melodies, rhythms, chords, harmonic progressions. Winter Term.
Prerequisite(s): MU 105 . Corequisite(s): MU 106 .
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MU 125 Diction for Singers: English Course Credit: 0.25
Intensive study of English pronunciation. Use and application of the International Phonetic Alphabet. Fall Term.
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MU 126 Diction for Singers: Italian Course Credit: 0.25
Intensive study of Italian pronunciation. Use and application of the International Phonetic Alphabet. Fall Term.
Prerequisite(s): MU 125 .
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MU 127 Diction for Singers: German Course Credit: 0.25
Intensive study of German pronunciation. Use and application of the International Phonetic Alphabet. Winter Term.
Prerequisite(s): MU 125 .
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MU 128 Diction for Singers: French Course Credit: 0.25
Intensive study of French pronunciation. Use and application of the International Phonetic Alphabet. Winter Term.
Prerequisite(s): MU 125 .
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MU 129 Instrumental Methods: Flute, Saxophone, Clarinet Course Credit: 0.25
Tone production and technique, pedagogy, literature. Experience on a secondary instrument for an instrumental major.
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MU 133 Instrumental Methods: Oboe, Bassoon Course Credit: 0.25
Tone production and technique, pedagogy, literature. Experience on a secondary instrument for an instrumental major.
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MU 134 Instrumental Methods: Trumpet, French Horn Course Credit: 0.25
Tone production and technique, pedagogy, literature. Experience on a secondary instrument for an instrumental major.
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MU 135 Instrumental Methods: Trombone, Tuba Course Credit: 0.25
Tone production and technique, pedagogy, literature. Experience on a secondary instrument for an instrumental major.
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MU 136 Instrumental Methods: Mallets Course Credit: 0.25
Tone production and technique, pedagogy, literature. Experience on a secondary instrument for an instrumental major.
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MU 137 Instrumental Methods: Drums Course Credit: 0.25
Tone production and technique, pedagogy, literature. Experience on a secondary instrument for an instrumental major.
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MU 138 Instrumental Methods: Violin, Viola Course Credit: 0.25
Tone production and technique, pedagogy, literature. Experience on a secondary instrument for an instrumental major.
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MU 139 Instrumental Methods: Cello, String Bass Course Credit: 0.25
Tone production and technique, pedagogy, literature. Experience on a secondary instrument for an instrumental major.
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MU 151 Listening to Music Course Credit: 1
Development of listening skills. Growth in appreciation of varied styles of music in a historical context through active listening and cultured study. Primarily for students not majoring or minoring in music.
Essential Ed Requirement: Interconnected: Humanities/Fine Arts.
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MU 153 Collaborative Pianism Course Credit: 0.25
Intended for pianists who are already moderately advanced and interested in learning more about accompanying, ensemble playing, performance of vocal music and music for piano with another instrument. May repeat for credit. P/D/F only.
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MU 154 Listening to Popular Music Course Credit: 1
Social, stylistic, political, and cultural aspects of popular music beginning with the development of mass media technologies and ending with the impact of visual media on artists and audiences. May Term odd years.
Essential Ed Requirement: Interconnected: Humanities/Fine Arts.
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MU 156 Applied Piano Pedagogy Course Credit: 0.25
Interpretive and pedagogical study of elementary to intermediate piano repertoire. Performance with in-depth exploration of techniques for teaching a specific level or genre. May repeat for credit.
Prerequisite(s): MU 227 or MU 228 ; instructor approval.
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MU 158 Therapeutic Improvisation Course Credit: 0.25
Introduction to common music therapy improvisational models. Development of basic vocal, instrumental, keyboard and movement improvisation skills for a variety of music therapy clinical settings. Winter Term.
Prerequisite(s): MU 183 , MU 150 or MU 155 ; or instructor approval.
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MU 176 Voice Methods I Course Credit: 0.25
Fundamentals of singing and voice performance. For instrumental music education majors with little or no previous singing experience. Fall Term.
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MU 177 Voice Methods II Course Credit: 0.25
Fundamentals of singing and voice pedagogy, including introductory diction (English, Latin, Italian), theatrics of singing. Winter Term.
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MU 181 Field Experience in Elementary General Music Grades K-8 Course Credit: 0
Fifteen-hour experience in a K-8 general music setting in public/parochial schools. P/D/F only.
Corequisite(s): MU 209 .
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MU 183 Introduction to Music Therapy Fieldwork Course Credit: 0.25
Overview of current music therapy methods, techniques, materials, and equipment. Study of the music therapy treatment plan process, including documentation. Assignments related to constructing treatment plans and documenting session data. Winter Term.
Corequisite(s): MU 184 .
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MU 184 Music Therapy Pre-Practicum Course Credit: 0
Thirty-hour pre-practicum experience. Observation of professional music therapists and/or upper-level practicum students during sessions. Weekly written observations.
Corequisite(s): MU 183 .
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MU 195 Special Topics Course Credit: variable
Topics and credit vary. See course schedule.
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MU 196 Therapeutic Guitar Course Credit: 0.25
Development of advanced guitar skills necessary for therapeutic application across a variety settings. Skills include bar chords, chord extensions, scales and special effects. May repeat for credit. Winter Term.
Prerequisite(s): MU 190 (guitar) or MU 194 .
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MU 205 Music Theory III Course Credit: 1
Advanced theory concepts, form, counterpoint, advanced chromaticism, higher-partial chords. Fall Term.
Prerequisite(s): MU 106 . Corequisite(s): MU 207 .
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MU 207 Aural Skills II Course Credit: 0.5
Advanced ear training and sight singing. Sight singing of tonal and atonal music. Identification and dictation of intervals, melodies, rhythms, chords, harmonic progressions. Fall Term.
Prerequisite(s): MU 107 . Corequisite(s): MU 205 .
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MU 209 General Music Methods: Grades K-8 Course Credit: 1
Methods for teaching general music in the K-8 classroom. Philosophical, sociological, psychological foundations of music teaching, learning. Modern trends, materials, principles, procedures.
Prerequisite(s): ED 100 . Corequisite(s): MU 181 .
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MU 210 Principles of Music Therapy Course Credit: 1
Principles of music therapy, including historical perspective, current trends, professional
ethics. Introduction to the profile of a music therapist, populations served, settings. Fall Term.
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MU 211 Music Therapy Musical Foundations Course Credit: 0.5
Fundamentals of directing small and large therapeutic groups for vocal, instrumental, and movement experiences, structured and improvised. Fall Term.
Notes: Appropriate for students in music therapy, music education, music ministry, and social work.
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MU 214 Music Therapy in Medical and Mental Health Course Credit: 0.5
Methods for facilitating the treatment process in medical and mental health from referral and assessment to implementation and evaluation. Introduces best practice techniques including song analysis, music-assisted relaxation and imagery, and song improvisation. May repeat for a maximum of one course credit. Winter Term.
Prerequisite(s): MU 183 , MU 211 .
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MU 221 Piano Literature and Materials Course Credit: 1
Teaching, performance practice of intermediate and advanced literature of all periods. Performance, analysis, listening to recordings.
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MU 222 Vocal Literature and Materials Course Credit: 1
Teaching, performing practices of intermediate and advanced literature of all periods. Performance, analysis, listening to recordings.
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MU 224 Marching Band and Instrument Repair Course Credit: 1
Practical and theoretical experience in charting, show planning, marching band organization, instrument repair. Field trips.
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MU 227 Piano Pedagogy–General Methods Course Credit: 0.5
Teaching methods, ethical considerations applicable to pre-college teaching of piano or other instruments. Prerequisite for students in the Preparatory Program. Fall Term even years.
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MU 228 Piano Pedagogy–Studio Methods Course Credit: 0.5
Beginning to intermediate methods, materials for piano teaching. Survey of repertoire, technical skills for piano. Fall Term odd years.
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MU 229 Voice Pedagogy I Course Credit: 0.5
Introduction to the science of tone production based on awareness of human physiology and anatomy. Winter Term.
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MU 230 Voice Pedagogy II Course Credit: 0.5
Techniques of teaching based on the science of tone production and specific demonstrations of teaching methods. Winter Term.
Prerequisite(s): MU 229 .
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MU 235 Clarinet Literature and Pedagogy Course Credit: 1
Examination of the major performance literature and available pedagogy materials for the clarinet. Every third year.
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MU 252 Introduction to Ethnomusicology Course Credit: 1
An overview of the theoretical foundations and historical development of ethnomusicology as an interdisciplinary field that considers music as marker and maker of culture. Fall Term even years.
Essential Ed Requirement: Interconnected: Humanities/Fine Arts. Diversity.
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MU 281 Field Experience in Secondary Choral/Instrumental Music, Grades 5-12 Course Credit: 0
Fifteen-hour field experience in a 5-12 choral, band, orchestra setting in public/parochial schools. P/D/F only.
Corequisite(s): MU 309 .
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MU 284 Music Therapy Practicum I Course Credit: 0
Thirty-hour practicum. Conducting co-led sessions for clients with special needs.
Prerequisite(s): MU 184 .
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MU 285 Music Therapy Practicum II Course Credit: 0
Thirty-hour practicum. Conduct co-led sessions for population not served through previous practicum. Sole responsibility for a minimum of one session by the end of the term. Track and record data. Direct supervision.
Prerequisite(s): MU 284 .
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MU 295 Special Topics Course Credit: variable
Topics and credit vary. See course schedule.
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MU 305 Counterpoint Course Credit: 0.5
Exercises in two-, three-, four-part inventions. Analysis of 18th-century contrapuntal music.
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MU 309 Choral and Instrumental Methods: Grades 5-12 Course Credit: 1
Methods for teaching choral and instrumental music in grades 5-12. Philosophical, sociological, psychological foundations of music teaching and learning. Modern trends, materials, principles, procedures.
Prerequisite(s): MU 209 ; MU 324 or concurrent enrollment. Corequisite(s): MU 281 .
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MU 312 Psychology of Music Course Credit: 1
Psychological, acoustical, sociological aspects of music. Research paper. Winter Term even years.
Essential Ed Requirement: Writing Intensive.
Prerequisite(s): Third- or fourth-year standing; ED 315 recommended.
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MU 313 Music and Behavior: Therapeutic Approaches Course Credit: 1
Influence of music on behavior in varied therapeutic settings. Review of clinical models. Winter Term odd years.
Essential Ed Requirement: Writing Intensive.
Prerequisite(s): Third- or fourth-year standing.
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MU 315 Music History I Course Credit: 1
Survey of Western music and its development from antiquity through the baroque period. Winter Term.
Essential Ed Requirement: Writing Intensive. Interconnected: Humanities/Fine Arts.
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MU 316 Music History II Course Credit: 1
Survey of Western music and its development from the classical period through 19th century music. Fall Term.
Essential Ed Requirement: Writing Intensive. Interconnected: Humanities/Fine Arts.
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MU 318 20th-Century Music Course Credit: 1
Study of theory and history of 20th-century music. Impressionism, neo-classical, dodecaphonic, avant-garde, and others. Winter Term.
Prerequisite(s): MU 205 , MU 316 .
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MU 322 Music in Christian Worship Course Credit: 1
History of liturgy, theology of worship, development of hymnody, overview of various contemporary denominational worship and music practices.
Essential Ed Requirement: Interconnected: Humanities/Fine Arts.
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MU 324 Conducting Course Credit: 1
Application of conducting techniques to instrumental and choral music with focus on orchestral conducting and literature. Class serves as a rehearsal ensemble for conducting practice.
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MU 330 Choral and Band Conducting and Literature Course Credit: 1
Rehearsal techniques, problems of choral and instrumental conducting. Observation of choral, instrumental groups. Survey of literature for choral, instrumental ensembles; some arranging.
Prerequisite(s): MU 324 .
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MU 351 Composition Course Credit: 0.5
Written work in various forms. Two- and three-part, rondo, variation, sonata, fugue. For the music student with interest and ability in musical composition. Offered as arranged study.
Prerequisite(s): Instructor approval.
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MU 382 Music Therapy Practicum III Course Credit: 0
Thirty-hour practicum. Conduct co-led sessions for population not served through previous practicum courses. Sole responsibility for a minimum of two sessions by the end of the term. Track and record group and individual data. Direct supervision.
Prerequisite(s): MU 285 .
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MU 383 Music Therapy Practicum IV Course Credit: 0
Thirty-hour practicum. Conduct co-led sessions for population not served through previous practicum courses. Sole responsibility for 50 percent of sessions. Track and record group data and individual data for two clients. Direct supervision.
Prerequisite(s): MU 382 .
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MU 391 Orchestration Course Credit: 0.5
Examination of ranges, techniques, timbres of orchestral instruments. Methods of dealing with major scoring problems. Techniques for transcribing piano, chamber, band music for instrumental groups. Special emphasis on transcription of orchestral works for school contexts. Methods of setting up score page and copying parts.
Prerequisite(s): MU 318 .
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MU 392 Arranging Course Credit: 0.5
Arranging for the music educator. Study of practical arranging techniques for various ensembles. Students will develop competency in transcribing and arranging works from one medium to another.
Prerequisite(s): MU 318 and MU 391 .
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MU 395 Special Topics Course Credit: variable
Topics and credit vary. See course schedule.
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MU 399 Supplemental Instruction: Music Course Credit: 0.5
Teaching practicum in a specific area of study. Student SI leaders participate in leader training, attend classes for which they serve as leaders, prepare and lead study sessions that reinforce course content, model and teach effective study strategies. P/D/F only.
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MU 401 Form and Analysis Course Credit: 0.5
Musical structures from binary and ternary forms to symphonic movements. Advanced analysis techniques applied to repertoire from all eras. Winter Term odd years.
Prerequisite(s): MU 205 .
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MU 405 Music Therapy Internship Course Credit: 1
Clinical training at an AMTA approved site. P/D/F only.
Prerequisite(s): Department approval.
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MU 409 Contemporary Issues in Music Education Course Credit: 0.5
Exploration of current issues in music education. Self-study of preparedness for teaching. Winter Term.
Essential Ed Requirement: Capstone.
Prerequisite(s): Successful completion of student teaching.
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MU 410 Current Issues in Music Therapy Course Credit: 0.5
Current topics in music therapy; overview of AMTA and CMBT structure and documents. Values clarification, ethics, preparation for internship. Winter Term.
Essential Ed Requirement: Capstone.
Prerequisite(s): Third- or fourth-year music therapy major.
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MU 450 Independent Study and Research Course Credit: variable
Special subject approved by major study area teacher and department chair.
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MU 461 Perspectives in Music Course Credit: 1
Study of aesthetics of music. Exploration of Western and non-Western, historical and contemporary perspectives on creative, interpretive listening, critical aspects of musical expression. Papers, exams, oral presentations on selected topics approved by instructor. Winter Term odd years.
Essential Ed Requirement: Writing Intensive. Capstone.
Prerequisite(s): Fourth-year standing or instructor approval.
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MU 485 Music Therapy Practicum V Course Credit: 0
Thirty-hour practicum. Conduct sessions for population not served through previous practicum courses. Sole responsibility for 100 percent of sessions. Track and record group data and individual data for two clients. Direct and indirect supervision.
Prerequisite(s): MU 383 .
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