English

The course explores music, performance, and ideas—familiar and not so familiar—from around the world. We explore musical forms and cultures, using examples of different types of music and case studies from different parts of the world. The course is based on recognition of human and musical diversity, of the diversity of ideas about music and its functions in society. Therefore, one of the primary goals of the class is to learn concepts and methods for listening to and watching musical performance, and understanding musical culture generally.

This course introduces different world music of each continent with their cultural backgrounds. Each civilization in its personal background has developed its personal culture and made diverse color from it. Between all those culture circumstances, music is the one which shows clearly this nature. To understand a specific music, we have to know all about the civilization of this music but understanding the music first, gives the occasion to know more easily the different civilization. Audio visual materials will be used to have a large view of the world and to understand the universality and the difference of several civilizations. A tour from Africa, West Indies, Oceania, America, Southern Europe, Northern Europe, Eastern Europe, Arab, Central Asia, Southern Asia, Southeast Asia, Japan·China of the Far East Asia and to Korea completes the term. 

This course examines the way Scotland portrays and has portrayed itself through visual media. The course provides an understanding of the contribution of visual productions in concepts like nationhood, identity, heritage, tradition, and cultural difference. Students also gain an appreciation of the power, resonance, and continuing influence these productions exert. Drawing upon a wide range of examples from films, documentaries, and other visual media past and present, the course explores how Scotland presents itself to itself, how Scotland presents itself to an external audience, and how Scotland is represented visually by an external audience.

This course introduces students to the basic ideas and applications of game theory. This course begins with expected utility theory, and then introduces the fundamental ideas of game theory: strategic-form games, Nash equilibrium, games with incomplete information, extensive-form games, sequential equilibrium, repeated games, as well as games with communication.

Prerequisite: Microeconomics, Mathematics for Economics, Introduction to Statistics, Calculus

This course introduces students to the mathematical theory of fluids via the Navier Stokes Equations. The equations can be used to successfully model almost any fluid on Earth, but our mathematical understanding of them remains limited. So much so, that a $1-million prize exists for anyone that can help to further our understanding of problems involving vortex reconnection, turbulence, and whether or not the equations are "well-posed." We will look at examples in inviscid flow theory which provide insight into physical phenomena such as flight, vortex motion, and water waves. Students also explore the basic fluid dynamics necessary to build mathematical models of the environment in which we live, focusing on problems such as climate change, pollution, or the spread of infectious aerosol droplets within our buildings.

This course offers a study of time series analysis with a view towards model-based predictions. It uses modeling and computational methodology applicable to a wide range of scientific fields, including engineering, environmental sciences, biochemistry, and natural language processing, but it focuses on applications for economics and finance, such as the extraction of stochastic business cycles and volatility prediction using daily and intraday high-frequency data.

Basic skills in statistics and computing with R are a prerequisite. Previous coursework in econometric analysis of linear time series is recommended.