Form in Tonal Music

A continuation of MUSI 241 and the second of the required music theory sequence for majors. In this course we will study different manifestations of formal principles, along with the relationship of form to harmony and tonality. We will start with pre-tonal music (Lassus) focus on the understanding of musical form in the eighteenth and nineteenth centuries. Topics to be covered will include minuet, variation, sonata form, the romantic character piece and eighteenth-century counterpoint. There will be analyses and writing exercises, as well as model compositions and analytic papers.

Music & Culture II

(Offered as MUSI 222 and EUST 222.)  One of three courses in which the development of Western music is studied in its cultural-historical context. As practical, in-class performance and attendance at public concerts in Amherst and elsewhere will be crucial to our work. Composers to be studied include Beethoven, Rossini, Schubert, Mendelssohn, Schumann, Chopin, Liszt, Berlioz, Wagner, Verdi, Musorgsky, and Brahms. Regular listening assignments will broaden the repertoire we encounter and include a wide sampling of Classical and Romantic music.

Exploring Music

Through analysis, performance, and composition, we will build a solid working understanding of basic principles of melody and harmony common in Western musical traditions. Assignments will include writing short melodies and accompaniments as well as more detailed compositional and improvisational projects. We will use our instruments and voices to bring musical examples to life in the classroom. Two class meetings and one lab session per week.

Introduction to Music

This course is intended for students with little or no background in music who would like to develop a theoretical and practical understanding of how music works. Students will be introduced to different kinds of musical notation, melodic systems, harmonies, meters, and rhythmic techniques with the goal of attaining basic competence in the performance and creation of music. The music we analyze and perform will be drawn from the Western tonal tradition as well as a variety of other musical traditions.

Writing Through Music

This course will introduce students to important concepts in effective academic writing by thinking about and thinking through popular music. Our complex relationships to popular music confront us with a host of challenging social, cultural, political, and ethical issues. How do we use music to construct, maintain, or challenge private and public identities? How are race, gender, class, sexuality, and the nation constructed through popular music? What is the role of music in our everyday lives?

Discovering Music

This course teaches the close reading of music through guided listening in a variety of traditions and historical periods. The topic may change from year to year. In 2014-15, we focus on aural analysis of musical texture and form through an historical survey of works stretching from medieval Europe (twelfth-century Gregorian chant) to twentieth- and twenty-first-century America (blues, swing, Broadway, bebop, and minimalism). Composers whose works we will study include: Hildegard von Bingen, G. Palestrina, C. Monteverdi, J.S. Bach, W.A. Mozart, L. van Beethoven, P. Tchaikovsky, C.

Topology

An introduction to general topology; the topology of Euclidean, metric and abstract spaces, with emphasis on such notions as continuous mappings, compactness, connectedness, completeness, separable spaces, separation axioms, and metrizable spaces. Additional topics may be selected to illustrate applications of topology in analysis or to introduce the student briefly to algebraic topology. Four class hours per week. Offered in alternate years.


Requisite: MATH 355. Spring semester.  Professor TBA.

Mathematical Statistics

(Offered as STAT 430 and MATH 430.) This course examines the theory behind common statistical inference procedures including estimation and hypothesis testing. Beginning with exposure to Bayesian inference, the course will cover Maximum Likelihood Estimators, sufficient statistics, sampling distributions, joint distributions, confidence intervals, hypothesis testing and test selection, non-parametric procedures, and linear models. Four class hours per week.


Requisite: STAT 360 or consent of the instructor. Spring semester.  Professor Wagaman.

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