Convexity basics; optimality conditions for unconstrained problems; Gradient methods; quasi-Newton methods, conjugate gradient methods; constrained problems and KKT conditions; feasible direction methods; Lagrangian duality; Lagrangian relaxation in integer programming; selected topics in global optimization.

Brief review of basic processes like Poisson, Markov and renewal processes; Markov renewal processes and theory, regenerative and semi-regenerative processes; random walk, Wiener process and Brownian motion; martingales; stochastic differential equations and integrals; applications in queueing, inventory, reliability and financial systems.

Topics will be announced when offered.

Formulation of integer and combinatorial optimization problems. Optimality conditions and relaxation. Polyhedral theory and integer polyhedra. Computational complexity. The theory of valid inequality, strong formulations. Duality and relaxation of integer programming problems. General and special purpose algorithms including branch and bound, decomposition and cutting-plane algorithms.

Constructive heuristics; improving heuristics; metaheuristics: simulated annealing, genetic algorithms, tabu search, scatter search, path relinking, ant colony

Markovian queues: M/M/1, M/M/C, M/M/C/K systems and applications. Phase-type distributions and matrix-geometric methods: PH/PH/1 systems. Queueing networks: reversibility and productform solutions. General arrival or service time distributions: embedded Markov Chains, M/G/1 and G/M/c queues, G/G/1 queues and the Lindley recursion, approximations. Stochastic comparisons of queues: stochastic orders, sample path properties.

Overview of industrial engineering and operations research applications in healthcare. Capacity planning and management in hospitals. Evaluating effects of interventions on the spread of infectious diseases. Analyzing the effects of resource allocation policies. Analysis of screening policies and their effects. Developing medical decision modeling to build decision support systems.

Formulation of integer and combinatorial optimization problems Introduction to logistics systems; logistics network design, location models; warehouse design, tactical decisions, operational decisions; transportation management; planning and managing freight transportation; fleet management, vehicle routing problem.

A series of lectures given by faculty or outside speakers. Participating students must also make presentations during the semester.

The basic tools and concepts of politics, political systems, and political science; an overview of the basic terminology and theories of political science so as to enable students to understand the functioning of different political systems; a systematic understanding of political institutions and dynamics as a basis for an adequate analysis of global problems, from economic development to security to the environment.

The basic tools and concepts of politics, political systems, and political science; an overview of the basic terminology and theories of political science so as to enable students to understand the functioning of different political systems; a systematic understanding of political institutions and dynamics as a basis for an adequate analysis of global problems, from economic development to security to the environment.

Introduction to research methodology in behavioral and social sciences, emphasizing the logic of scientific inquiry, critical thinking and the essential roles of observation and experiment; review of research methods in International Relations, including survey research and statistical methods.

Evolution of the modern international system, with particular emphasis on developments since World War II, basic theories and applications of salient issues in international politics such as international conflict and cooperation, alignments, nationalism, and forces of change.

Basic concepts in political science such as political culture, political participation, political parties, political institutions, and the application of these concepts in the study of major contemporary states.

Basic concepts in political science such as political culture, political participation, political parties, political institutions, and the application of these concepts in the study of major contemporary states.

Constitution as the Supreme Law of the Land and as an operating mechanism; organization and functioning of the legislative, executive and judicial branches; interrelation between them; the citizen, civil liberties and the Government.

An historical analysis of great political ideas as put forth by ancient and modern philosophers and political theorists such as Plato, Aristotle, Machiavelli, Rousseau and Marx. Intellectual debates on the foundational questions of politics (forms of government, the relationship of the individual to the state, justice and morality).

An historical analysis of great political ideas as put forth by ancient and modern philosophers and political theorists such as Plato, Aristotle, Machiavelli, Rousseau and Marx. Intellectual debates on the foundational questions of politics (forms of government, the relationship of the individual to the state, justice and morality).

Main approaches to various institutions and actors that make up the field of international political economy. Question of who gets what at a global level from a multi-actored, multi-level and mul-disciplinary perspective. Interactions between states, markets, firms, NGOs, and not-for-profit organizations at the local, national, regional, and supranational levels. Global trade, production, finance, and knowledge structures and relations in the context of international organizations, transnational corporations, global financial structures, regional integrations, North-South relations, discourses and practices of development, and problems of global poverty.

Evolution of European Union institutions, how they are organized and how they operate; the Union’s internal politics and external relations.

This course examines how religious and secular politics affect world affairs, democracy, and public policy in the world. By taking a comparative approach, it analyzes different models of secularism and how secular and religious politics and government policies take various forms in different countries. With emphasis on Muslim majority countries and Türkiye, it explores the links between religion, secularism, state, nationalism, democratization, and social and economic development.

Origins, functions and major characteristics of political parties in different political systems; interest articulation and interest groups in different political environments. Theories of parties and interest groups and their behavior; political parties and interest groups in Türkiye.

The structure and the role of international organizations, especially the United Nations, in promoting cooperation and resolving conflicts among states. The evolution and the contemporary role of non-governmental organizations such as multi-national corporations, voluntary associations and social movements, their relationships with states and other international actors.

Analyses of global processes and dynamics with respect to international trade, global finance, climate change, and global public health; Dynamics and challenges of global governance in an interdependent World; investigation of key normative dilemmas such as poverty, inequality and crimes against humanity; the possibility of a global social contract in an increasingly interdependent world and the linkages between “ global civics” and the ability to forge a global social contract; an investigation of whether global civics may have a positive influence on our ability to govern an interdependent World.