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 opens doors to new modes of listening and to hearing familiar music in a brand new way.

This course explores different approaches to the study of music as a cultural phenomenon. The course considers basic questions, such as: Why is music so often at the center of one's most profound personal and social experiences? Why is music a fundamental means of connecting with one's lives, communities and the wider world?

Topics of MUS 100 especially designed for those with no previous background in music. 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 MUS 110. Enrollment limited to 20.

Offered as MTH 391 and SDS 391. Time series refers to datasets where there is a sequential order for the observations. The primary objective of time series analysis is to develop mathematical models that characterize the relationship of observed time series data. Topics in this course include perspectives from linear regression (time dependent covariates or errors), nonparametric techniques (smoothing, moving averages, nearest neighbors), and time domain models (autoregressive and moving average models, and their extensions).

Complex numbers, functions of a complex variable, algebra and geometry of the complex plane. Differentiation, integration, Cauchy integral formula, calculus of residues, applications. Prerequisite: MTH 211 and MTH 212, or equivalent.

This course surveys classical and modern topics in knot theory, as well as connections to other topics in low-dimensional topology, including surfaces and 3-dimensional manifolds. Discussions may include polynomial invariants, spanning surfaces, branched covers, mapping class groups, Heegaard splittings, Legendrian knot theory, and contact topology. Prerequisite: MTH 233, MTH 238, MTH 280, or MTH 281.

Numerical methods are essential tools in modern science and engineering that enable one to solve problems that are difficult or impossible to address analytically. This course provides an introduction to the fundamental techniques of numerical computation, emphasizing both the mathematical foundations and the practical implementation of algorithms. Discussions include error analysis, solutions of nonlinear equations, interpolation and polynomial approximation, numerical differentiation and integration, and the numerical solution of initial-value problems for ordinary differential equations.

Offered as MTH 320 and SDS 320. An introduction to the mathematical theory of statistics and to the application of that theory to the real world. Discussions 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 equivalent. Enrollment limited to 20.

Mathematics is often called the language of the universe, celebrated for its elegance and relevance. Yet its power lies in how well humans communicate it. An important objective of any mathematician is to convey both professional and personal insights in ways that make sense to the intended audience. This course develops reasoning, writing, and presentation skills in the context of mathematics, while encouraging students to find their own voice. Structured as a team-based learning class, it emphasizes collaboration and practice.

In this course students work in small groups on original research projects. Students are expected to attend a brief presentation of projects at the start of the semester. Recent topics include interactions between algebra and graph theory, plant patterns, knot theory and mathematical modeling. This course is open to all students interested in gaining research experience in mathematics. Prerequisites vary depending on the project, but normally MTH 153 and MTH 211 are required. Restrictions: MTH 301rs may be repeated once.