Courses

Prerequisites: ITAL V1102 or W1102, or the equivalent. If you did not take Elementary Italian at Columbia in the semester preceding the current one, you must take the placement test, offered by the Italian Department at the beginning of each semester. Same course as ITAL V1201-V1202.

Prerequisites: ITAL V1201 or W1201, or the equivalent. If you did not take Elementary Italian at Columbia in the semester preceding the current one, you must take the placement test, offered by the Italian Department at the beginning of each semester. A review of grammar, intensive reading, composition, and practice in conversation. Exploration of literary and cultural material. Lab: hours to be arranged. ITAL V1202 fulfils the basic foreign language requirement and prepares students for advanced study in Italian language and literature.

Is the Qur’an translatable? Was the Qur’an translated? Are non Arabic-speaking Muslims allowed to translate the Qur’an? And what about non-Muslims? Did Muslims and non-Muslims collaborate in translating the text of the Qur’an into Latin and European vernaculars? This course focuses on the long history of the diffusion of the Qur’an, the Scripture of the Muslims, and one of the most important texts in the history of humanity. We will focus on reading and translation practices of the Qur’an in Europe and the Mediterranean, from the Middle Ages to the contemporary world. We will explore how European Muslims, such as Iberian moriscos, European Jews, as well as Orthodox, Protestants and Catholics read, copied, collected, translated and printed the Qur’an. We will also explore why the Qur’an was confuted, forbidden, burned and even eaten, drunk and worn along eight centuries of the history of Europe. This long excursus, based on a close reading of the Qur’an and on the discussion of the major themes this close reading proposes, will help us to understand the role of Islam and its revelation in the formation of European societies and cultures. 

Prerequisites: Mathematics score of 550 on the SAT exam, taken within the past year. Recommended: MATH S0065. Algebra review, graphs and functions, polynomial functions, rational functions, conic sections, systems of equations in two variables, exponential and logarithmic functions, trigonometric functions and trigonometric identities, applications of trigonometry, sequences, series, and limits.

Prerequisites: MATH S1102, or the equivalent. Columbia College students who aim at an economics major AND have at least the grade of B in Calculus I may take Calculus III directly after Calculus I. However, all students majoring in engineering, science, or mathematics should follow Calculus I with Calculus II. Vectors in dimensions 2 and 3, complex numbers and the complex exponential function with applications to differential equations, Cramer's rule, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, surfaces, optimization, the method of Lagrange multipliers.

Prerequisites: MATH S1102, or the equivalent. Columbia College students who aim at an economics major AND have at least the grade of B in Calculus I may take Calculus III directly after Calculus I. However, all students majoring in engineering, science, or mathematics should follow Calculus I with Calculus II. Vectors in dimensions 2 and 3, complex numbers and the complex exponential function with applications to differential equations, Cramer's rule, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, surfaces, optimization, the method of Lagrange multipliers.

Calculus I
Material includes the study of limits, derivatives, and applications of derivatives, as well as an introduction to integrals. Success in this course requires intense commitment to study and collaboration both in and out of class, along with active participation during class, and the ability to follow both written and verbal directions.   
The overarching objective of the course is for students to develop conceptual fluency and computational competence working with limits, derivatives, and their applications.   Students will enhance their quantitative reasoning, particularly through interpreting/analyzing charts and graphs in the study of limits and derivatives.  Problem solving skills will be augmented through applied word problems, particularly relating to optimization, related rates, and graphing.  Writing justifications/explanations for answers on all graded work will expand students' ability to clearly communicate mathematical ideas in writing. While collaborative projects will advance their ability to do so orally and visually.