Each musical tradition is best explained and understood by its own system of theory. This course introduces four musical traditions and their corresponding theories: Tuvan Throat Singing, Dagomba Dance Drumming, Javanese Gamelan, and Hindustani classical music. Topics include theory fundamentals, listening methods, compositional approaches, and aesthetics. Learning about these traditions will open doors to new modes of listening and to hearing familiar music in a brand new way.(E)

This course explores different approaches to the study of music as a cultural phenomenon. We consider basic questions, such as: Why is music so often at the center of our most profound personal and social experiences? Why is music a fundamental means of connecting with our own lives, our communities and the wider world in which we live?

The primary goal of this course is to deepen your understanding of the music you like, while forging connections to music that is unfamiliar to you, making you a more well-informed music consumer. Throughout the course, you hone active listening skills, helping you to identify technical components and to connect with the music on an emotional level. These skills help you describe more specifically what you hear, and decode increasingly complex music. Classes cover folk, popular, jazz, non-western classical and other styles.

Colloquia are especially designed for those with no previous background in music. Limited to 20 students, they emphasize class discussion and written work, which consists of either music or critical prose as appropriate to the topic. Open to all students, but particularly recommended for first-year students and sophomores: An introduction to music notation and to principles of musical organization, including scales, keys, rhythm and meter. Limited to beginners and those who did not place into 110.

Topics Course: An introduction to the theory of Dynamical Systems with applications. A dynamical system is a system that evolves with time under certain rules. We look at both continuous and discrete dynamical systems when the rules are given by differential equations or iteration of transformations. We study the stability of equilibria or periodic orbits, bifurcations, chaos and strange attractors. Applications often be biological during the course, but students do their final project on a scientific application of their choice.

Same as MTH 320. An introduction to the mathematical theory of statistics and to the application of that theory to the real world. Topics include functions of random variables, estimation, likelihood and Bayesian methods, hypothesis testing and linear models. Prerequisites: a course in introductory statistics, MTH 212 and MTH 246, or permission of the instructor.

Same as SDS 320. An introduction to the mathematical theory of statistics and to the application of that theory to the real world. Topics include functions of random variables, estimation, likelihood and Bayesian methods, hypothesis testing and linear models. Prerequisites: a course in introductory statistics, MTH 212 and MTH 246, or permission of the instructor.

Functions of several variables; vector fields; divergence and curl, critical point theory; transformations and their Jacobians; implicit functions; manifolds; theory and applications of multiple integration; and the theorems of Green, Gauss and Stokes. Prerequisites: MTH 211 and MTH 212, or permission of the instructor. MTH 153 is encouraged.

An introduction to the concepts of abstract algebra, including groups, quotient groups and, if time allows, rings and fields. Prerequisites: MTH 153 and MTH 211, or permission of the instructor.

Theory and applications of limits, derivatives and integrals of functions of one, two and three variables. Curves in two-and three-dimensional space, vector functions, double and triple integrals, polar, cylindrical, spherical coordinates. Path integration and Green’s Theorem. Prerequisites: MTH 112. It is suggested that MTH 211 be taken before or concurrently with MTH 212.