Courses

Prerequisites: MATH S1202, MATH S2010, or the equivalent. Students must have a current and solid background in the prerequisites for the course: multivariable calculus and linear algebra. Elements of set theory and general topology. Metric spaces. Euclidian space. Continuous and differentiable functions. Riemann integral. Uniform convergence.

The purpose of this foundational course is to introduce Columbia undergraduate students, in the context of their Global Core curriculum, to the seminal field of critical theory. The historical domain of this course is within the last century and its geographical spectrum is global. European critical thinkers are included in this course but not privileged. Thinkers from Asia, Africa, Europe, North, South, and Latin America, are examined here in chronological order and in equal democratic footing with each other. This course as a result is decidedly cross-cultural, one step forward towards de-alienating critical thinkers from around the globe and the issues they address without pigeonholing them as something “other” or “different.” The course is designed and offered in the true spirit of the “Global Core.” The purpose of the course is to reach for the common denominator of serious critical thinking about the fate of our humanity and the health of our social relations in an increasingly fragile world—where the false binaries of “the West” and “the Rest” no longer hold. The roster of critical thinkers we will examine is by no means exhaustive but representative. Any number of other critical thinkers can be added to this roster but none of those we will examine can be excluded from them. The course is divided into thirteen successive weeks and for each week a number of seminal, original, and groundbreaking texts are identified. Each week we will examine selected passages from these texts. The course is designed as a lecture course, and my lectures are based on the totality of these texts but students will be assigned specific shorter passages to read.

This course covers the history of Zionism in the wake of the Haskala in mid nineteenth century Europe and its development at the turn of the century through the current 'peace process' between the state of Israel and the Palestinian national movement. The course examines the impact of Zionism on European Jews and on Asian and African Jews on the one hand, and on Palestinian Arabs on the other --in Israel, in the Occupied Territories, and in the Diaspora.

An introduction to the potential of digital sound synthesis and signal processing. Teaches proficiency in elementary and advanced digital audio techniques. This course aims to challenge some of the tacet assumptions about music that are built into the design of various user interfaces and hardware and fosters a creative approach to using digital audio workstation software and equipment.  Permission of Instructor required to enroll. Music Majors have priority for enrollment.

Prerequisites: the instructor's permission. Main objective is to gain a familiarity with and understanding of recording, editing, mixing, and mastering of recorded music and sounds using Pro Tools software. Discusses the history of recorded production, microphone technique, and the idea of using the studio as an instrument for the production and manipulation of sound.

PHIL UN2101 is not a prerequisite for this course. Exposition and analysis of central philosophical problems as discussed by innovative thinkers from Aquinas through Kant. Authors include figures like Descartes, Elisabeth of Bohemia, Spinoza, Anne Conway, Leibniz, Berkeley, Hume, Émilie du Châtelet, and Kant. ,

This course will survey topics in contemporary metaphysics. We will focus on material objects, time, modality, causation, properties, and natural kinds. We will begin by considering what objects there are in general (ontology) and what to say about certain puzzling entities (such as holes). Then we will turn to debates about material objects and puzzles about composite objects and the notion of parthood. Next is the issue of how material objects persist over time and survive change in their parts. We shall consider two important views on persistence. We then turn to two issues related to persistence: personal identity over time, and puzzles about time travel. This will lead us into the next part of the course on modality and causation, which concerns the notions of possibility, necessity, laws of nature, and causation. We will consider different views about 'possible worlds'. We will then consider the nature of laws and causation and then turn to the problem of free will. We will look at debates in the metaphysics of properties between realists and nominalists about properties. Then we'll consider causal powers, dispositions, and natural kinds. The section will conclude with problems about the metaphysics of socially constructed kinds such as race or gender.

Prerequisites: this course uses elementary concepts from calculus, and students should therefore have some basic background in differentiation and integration. Assignments to discussion sections are made after the first lecture. Basic introduction to the study of mechanics, fluids, and thermodynamics. The accompanying laboratory is PHYS S1291D. NOTE: There are two recitation sessions that meet for one hour each week. The recitation times will be selected at the first class meeting.

Prerequisites: PHYS S1201. May be taken before or concurrently with this course. Laboratory for PHYS S1201D. Assignments to laboratory sections are made after the first lecture, offered Mon/Wed or Tues/Thurs 10.30AM-1.30PM.

Prerequisites: PHYS S1201. May be taken before or concurrently with this course. Laboratory for PHYS S1201D. Assignments to laboratory sections are made after the first lecture, offered Mon/Wed or Tues/Thurs 10.30AM-1.30PM.