(Offered as MUSI 126 and BLST 134 [US]) This course examines the cultural origins of hip hop and how this small, Bronx-based subculture expanded into one of the most influential styles of music in the world. The course will begin by analyzing the cultural conditions out of which hip hop arose in the mid-1970s; from there it will turn to examining how hip hop music, over the last thirty-five years, has sounded the identity of its creators as they have grappled with six major questions: What musical elements are crucial components of hip hop’s sound?

Fall semester: Through composition, analysis, and performance, we will build a solid working understanding of basic principles of melody and harmony common in Western musical traditions. Assignments include harmonizing melodies, writing short melodies and accompaniments, and composing in several forms such as 12-bar blues, classical minuets, and "Broadway"-style 32-bar AABA form. On several occasions 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.

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 into the technical details of music such as musical notation, intervals, basic harmony, meter and rhythm. Familiarity with basic music theory will enable students to read and perform at sight as well as provide an introduction to the composition of melodies with chordal accompaniment.

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?

In 1936 the official Soviet newspaper Pravda denounced Dmitri Shostakovich’s latest opera as “muddle instead of music.” In 1942 the Party used his “Leningrad” Symphony as propaganda in the Soviet Union’s war against Nazi Germany. Shostakovich’s career demonstrates both the unlimited government support and the unlimited control totalitarian states exercise over their artists.

Fall and spring semesters. The Department.

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. The Department.

Lie groups and Lie algebras appear naturally in the study of symmetries of geometric objects. Lie algebras carry local information and can be studied using tools from linear algebra. Finite dimensional Lie groups can be constructed using techniques from calculus and group theory.

Independent reading course.

Fall and spring semesters. The Department.

(Offered as STAT 370 and MATH 370) This course examines the theory underlying common statistical procedures including visualization, exploratory analysis, estimation, hypothesis testing, modeling, and Bayesian inference. Topics include maximum likelihood estimators, sufficient statistics, confidence intervals, hypothesis testing and test selection, non-parametric procedures, and linear models.

Requisite: STAT 111 or STAT 135 and STAT 360, or consent of the instructor. Limited to 25 students. Spring semester. Professor Horton.