Thinking About Music

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?

Music Decoded

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.

T-DynamicalSystems,Chaos

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. Prerequisites: MTH 211 and MTH 212 or equivalent.

Sem: Mathematical Statistics

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. 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 equivalent. Enrollment limited to 30. Juniors and seniors only. Instructor permission required.

T-Research

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.

Dialogues in Mathematics

In this class we don’t do math as much as we talk about doing math and the culture of mathematics. The class includes lectures by students, faculty and visitors on a wide variety of topics, and opportunities to talk with mathematicians about their lives. This course is especially helpful for those considering graduate school in the mathematical sciences. Prerequisites: MTH 211, MTH 212 and two additional mathematics courses at the 200-level, or equivalent. May be repeated once for credit. S/U only.

Complex Analysis

Previously MTH 382. 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.
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