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An introduction to music theory course. Music theory fundamentals will be taught utilizing voice (singing) and an instrument in hand. Knowledge of the piano keyboard will be learned and utilized. Curriculum will span the harmonic series, circle of 5ths, scales and chords to ear training, harmonic and rhythmic dictation, and beginning composition. Score reading, listening, and analysis will include music of composers from diverse ethnic, racial, sexual, and cultural backgrounds. Course will include singing, aural, and listening components as well as written work.

This foundational class covers modes of reasoning used in quantitative sciences and mathematics. While learning the art of mathematical modeling, i.e. translating the physical systems/real-life situations into mathematics, we will apply problem solving and practice effective communication of mathematics.

Differential equations are a powerful and pervasive mathematical tool in the sciences and are fundamental in pure mathematics as well. Almost every system whose components interact continuously over time can be modeled by a differential equation, and differential equation models and analyses of these systems are common in the literature in many fields including physics, ecology, biology, astronomy, and economics.

I would (and will) argue that Newton's Principia is the most important book yet written. It is certainly the most important book that a vanishingly small number of people have actually read.

An intermediate review of theory based on a broad range of pop, classical, and jazz songs from the last centuries and from across the world. We’ll start with a primer on scales, intervals, and basic chordal moves such as the rhythm changes, then progress to chromaticism, modulation, and extended triadic harmonies.

Together with calculus, linear algebra is one of the foundations of higher-level mathematics and its applications. This is NOT just the algebra you know from high school. There are several perspectives one can take on linear algebra: it is a method for handling large systems of linear equations, it is a theory of linear geometry (including in dimensions larger than three), it is matrix algebra, and it is a theoretical structure that appears throughout mathematics, physics, computer science, and statistics.

In the eighteenth and nineteenth centuries, mathematics underwent a vast expansion, into new, exciting, and increasingly counter-intuitive realms. The subject risked mystification and mutual incomprehensibility between experts in different sub-fields. In the first part of the twentieth century, a group of French mathematicians, under the pseudonym Bourbaki, undertook an ultimately successful program to use the foundation of set theory to put all of mathematics onto a common conceptual and logical foundation.

This course explores the life, works, and revolutionary contributions of Harry Partch (1901–1974), one of the most original and influential American composers of the 20th century. Partch was a pioneer of microtonal music and developed a unique 43-tone scale, which led him to construct his own instruments to realize his visionary compositions. Students will examine Partch’s unconventional approach to tuning, his rejection of equal temperament, and his philosophy of music as an integrated theatrical and corporeal experience.