Examines some of the most important philosophical ideas and developments in Ancient Greece and Rome. Covers major writings by Plato and Aristotle, and a selection of writings by such thinkers as the Presocratics, Stoics, Epicureans, and Skeptics.
Introduces problems raised by the nature of art, artworks, and aesthetic judgment. Considers the expressive and representational properties of artworks, aesthetic attention, and appreciation, as well as the creation, interpretation, and criticism of artworks. Readings from classical and contemporary sources.
This course aims to accomplish two things. The first is to introduce three broad traditions of normative thinking about social issues from around the globe: a Confucian tradition, one based in Islamic legal traditions, and one derived from European liberalism. The second is to address three current areas of normative debate: about global economic inequality, about gender justice and human rights. We shall explore these first-order questions against the background of the three broad traditions. Our aim will be to understand some of differences of approach that shape the global conversation about these issues that concern people around the world.
Music Major Distribution Requirement. Chromatic harmony as developed and practiced by composers of the 19th century and beyond. Introduction to score reading and principles of musical analysis applied to larger musical structures. Continuation of species counterpoint and an introduction to invertible counterpoint and fugue.
Historical-political background of the Middle East and its contemporary social and political problems, including the impact of the West; religious and liberal reactions; conflict of nationalisms (Arab, Iranian, Turkish, and Zionist); and revolutionary socialism. Specific social, political, and economic problems?using a few selected countries for comparison and analysis?including the role of the military, the intelligentsia, the religious classes, the legitimization of power, urban-rural cleavages, bureaucracy, and political parties.
As a part of a two-year curriculum, prepares the student for a high level of proficiency in Hindi. Through a variety of class, small-group, and paired activities, as well as language and computer lab sessions, students are expected to develop reading, speaking, listening, and writing skills. The instructor also takes into consideration individual needs.
Builds on the skills acquired in Elementary Arabic I and II, with increased emphasis on writing and reading from modern sources, in addition to aural/oral proficiency.
Surveys main political, social, economic, and intellectual currents of the 20th century. Emphasis on historical background and development of current problems in the region. Topics include imperialism, nationalism, religion, Orientalism, women, class formation, oil, the Arab-Israeli crisis, and the Iranian revolution.
Addresses the rich literary product of modern and contemporary South Asia. Offers more advanced undergraduates a window on a rich and culturally varied area of the world, as well as an understanding of aspects of South Asian history and society as represented in translations of modern prose writing (short stories and novels) originally written in South Asian languages.
Elementary Arabic I course is a novice level course in Modern Standard Arabic. (MSA) The course work aims to balance the four skills (listening, speaking, reading, and writing). It also introduces aspects of Arab culture. The course is designed to teach students to pronounce, read and write MSA. Fall semester starts with Arabic alphabet (letters and sounds) then introduces topics such as greetings, self introduction, family, weather and food. No prior knowledge of Arabic or a placement test is required for enrollment in this course.
Prerequisites: a grade of C or better in Honors Analysis I (MATH-UA 328), or a grade of A in Analysis (MATH-UA 325) and permission of instructor. Continuation of Honors Analysis I (MATH-UA 328). Topics include: metric spaces, differentiation of functions of several real variables, the implicit and inverse function theorems, Riemann integral on R^n, Lebesgue measure on R^n, the Lebesgue integral.
Prerequisite: A grade of C or higher in Calculus III (MATH-UA 123) or Math for Economics III (MATH-UA 213) (for economics majors). Recommended: Mathematical Physics (PHYS-UA 106). Fluid dynamics is the branch of physics that can describe the flow of blood in the human body, the flight of an insect, or the motions of weather systems. Key concepts include: the formalism of continuum mechanics; the conservation of mass, energy, and momentum in a fluid; the Euler and Navier-Stokes equations; and viscosity and vorticity. These concepts are applied to such classic problems in fluid dynamics as potential flow around a cylinder, the propagation of sound and gravity waves, and the onset of instability in shear flow.
Complex numbers and complex functions. Differentiation and the Cauchy-Riemann equations. Cauchy?s theorem and the Cauchy integral formula. Singularities, residues, Taylor and Laurent series. Fractional linear transformations and conformal mapping. Analytic continuation.
In numerical analysis one explores how mathematical problems can be analyzed and solved with a computer. As such, numerical analysis has very broad applications in mathematics, physics, engineering, finance, and the life sciences. This course introduces the subject for mathematics majors. Theory and practical examples using Matlab are combined in the studying of topics ranging from simple root-finding procedures to differential equations and the finite element method.
Techniques for counting and enumeration, including generating functions, the principle of inclusion and exclusion, and Polya counting. Graph theory. Modern algorithms and data structures for graph theoretic problems.
Prerequisite: a grade of C or better in Theory of Probability (MATH-UA 233) or equivalent. Not open to students who have taken Probability and Statistics (MATH-UA 235). Introduction to the mathematical foundations and techniques of modern statistical analysis used in the interpretation of data in quantitative sciences. Mathematical theory of sampling; normal populations and distributions; chi-square, t, and F distributions; hypothesis testing; estimation; confidence intervals; sequential analysis; correlation, regression, and analysis of variance. Applications to the sciences.