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MATH 497: Independent Study: Mathematics
3.00 Credits
Williams College
Directed 400-level independent study in Mathematics.
Prerequisite:
Permission of department
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MATH 497 - Independent Study: Mathematics
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MATH 498: Independent Study: Mathematics
3.00 Credits
Williams College
Directed 400-level independent study in Mathematics.
Prerequisite:
Permission of department
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MATH 498 - Independent Study: Mathematics
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MATH 499: Senior Colloquium
3.00 Credits
Williams College
Mathematics senior colloquium. Meets every week for two hours both fall and spring. Senior majors must participate at least one hour a week. This colloquium is in addition to the regular four semester-courses taken by all students.
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MATH 499 - Senior Colloquium
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MUS 101: Listening to Music: An Introduction to the Western Classical Tradition
3.00 Credits
Williams College
When you listen to music--on the radio, on your Ipod, at a concert--how much do you really hear? This course aims to refine students' listening skills to enhance their understanding and enjoyment of music, while providing an introduction to the major composers, musical styles, and genres of the Western classical tradition. We will study music from the Baroque, Classical, Romantic, and Modern periods, including works by composers such as Bach, Mozart, Beethoven, Brahms, Mahler, and Stravinsky. Genres to be covered include the symphony, string quartet, sonata, opera, song, and choral music. Attendance at selected concerts on campus required.
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MUS 101 - Listening to Music: An Introduction to the Western Classical Tradition
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MUS 102: Introduction to Music Theory
3.00 Credits
Williams College
The course presents an introduction to the materials and structures of music. Through a variety of practical exercises and written projects, students will develop an understanding of the elements of music (e.g. pitch, scales, triads, rhythm, meter, and their notation) and explore their combination and interaction in the larger-scale organization of works of classical, jazz and popular music (i.e. harmony, counterpoint, form, rhetoric). Practical musicianship skills will be developed through in-class and prepared singing assignments and rhythmic exercises.
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MUS 102 - Introduction to Music Theory
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MUS 103: Music Theory and Musicianship I
3.00 Credits
Williams College
Music 103 and 104 are designed for potential majors and for students with strong instrumental or vocal backgrounds. Students entering Music 103 should have a solid understanding of musical rudiments (intervals, scales, keys) and reading proficiency in both bass and treble clefs. A short diagnostic exam will be administered at the first class meeting of Music 103 to determine if a student requires any additional work to complement and fortify course work during the early weeks of the semester, or whether placement in Music 102 would be more appropriate. Students with a strong background in music theory may take a placement exam during First Days to see whether they can pass out of one or both semesters. Music 103 and 104 are required for the music major. Music 103 presents the materials, structures and procedures of tonal music, with an emphasis on the harmonic and contrapuntal practice of the baroque and classical periods (ca. 1650-1825). The course explores triadic harmony, voice leading, and counterpoint with an emphasis on the chorale style of J.S. Bach and his predecessors. Keyboard harmony and figured bass exercises, sight singing, dictation, analysis of repertoire, written exercises and emulation projects will develop both an intellectual and an aural understanding of music of the period. Projects include the harmonization of chorale melodies, the arrangement of classical period minuets and the composition of vocal canons.
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MUS 103 - Music Theory and Musicianship I
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MUS 104: Music Theory and Musicianship I
3.00 Credits
Williams College
Music 104 continues the practical musicianship work of Music 103, while expanding the scope of harmonic topics to include seventh chords and chromatic harmony. Music 104 further explores the transformation of chorale harmony in contrapuntal works of the eighteenth century. Projects include the composition and performance of preludes, fugues and organ chorale preludes on baroque models.
Prerequisite:
Music 103
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MUS 104 - Music Theory and Musicianship I
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MUS 111: Music Cultures of the World
3.00 Credits
Williams College
This course introduces a select variety of musical traditions from around the world. Musical genres will be approached within their geocultural contexts, taking into account the interrelatedness of the structural, historical and cultural. The class is designed to advance knowledge of the diversity and unity of the cultures of the world, with music being a point of entry. Thus, case studies will provide insight into distinctions in social and aesthetic values across Africa, the Americas, Asia, Europe and the Middle East, with the goal of fostering a better appreciation of global diversity. Equally, musical universals will be highlighted with the goal of celebrating our common humanity. While becoming acquainted with the fundamental concerns of ethnomusicology and the ethnographic approach, students will develop an informed vocabulary for discussing a range of musical activities practiced worldwide. A hands-on approach will be encouraged through lecture-demonstrations. Prior musical knowledge is not a prerequisite for this class, but a wide-open listening ear is!
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MUS 111 - Music Cultures of the World
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MUS 113: Musics of Africa
3.00 Credits
Williams College
This course introduces a selection of musical cultures from the geographical breadth of Africa. Following an introductory exploration of the fundamental aesthetic and social parameters governing African musical practice, we will proceed to examine in more depth regional case studies from North, South, East, West and Central Africa. Attention will be given to both traditional and urban music-making contexts, and styles covered will include Shona mbira music, Tuareg rock, West African highlife, Ba'Aka vocal polyphony and South African kwela. Through readings, writing, lecture-demonstrations, and hands-on participation, this course satisfies the EDI requirement by investigating the intersection of African music with politics, gender, advocacy, globalization and other broad themes.
Prerequisite:
No prerequisites: prior musical background is not essential for this class
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MUS 113 - Musics of Africa
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MUS 138: Riots, Recycling, Rows, and Repetition: Introduction to Twentieth-Century Music
3.00 Credits
Williams College
Twentieth-century Euro-American art music involved a persistent exploration of the limits of musical possibility. Encounters with this music often challenge our ears and musical minds and require us to reconsider fundamental conceptions of music itself. Throughout the course, we will investigate in what ways the basic elements of music (e.g., harmonic organization, rhythm, timbre, instrumentation and performance conventions) were extended and revolutionized. Topics and styles to be discussed include: atonality, expressionism, twelve-tone techniques, neoclassicism, electronic and computer music, stochastic music, minimalism, and neoromanticism. We will also consider the music of this century in relation to contemporary developments in the other arts and to popular musical styles. The syllabus will include works by such composers as Debussy, Mahler, Stravinsky, Schoenberg, Webern, Bartok, Weill, Milhaud, Shostakovich, Ives, Copland, Babbitt, Stockhausen, Messiaen, Boulez, Berio, Cage, Gorecki, Glass, Gubaidulina, and Tower.
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MUS 138 - Riots, Recycling, Rows, and Repetition: Introduction to Twentieth-Century Music
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