Dynamic programming is an optimization method that transforms complex problems into simpler subproblems. Developed in the mid-twentieth century, it is applied to fields as diverse as bioinformatics, macroeconomics, operations research, and computer science. To explore the area of dynamic programming, we will first study a few well-known optimization problems. Afterwards, we will extend the tools that we develop to cases with stochastic features.

Why are there substantial differences in income levels across countries? What role does technology play in sustaining long-run growth? Should we expect poor countries to grow more quickly than rich countries? To address these questions, we will develop the Solow Growth Model and examine some of the related empirical work in this field. Afterwards, we will critically assess the extent to which geography, institutions, and culture can explain income differences across countries.

In this seminar, we will explore a field of economics that incorporates psychology to describe human behavior. We will study concepts including bounded rationality, bounded self-interest, and utility maximization, and we will use these concepts to investigate diverse phenomena such as personal saving, impulsivity, and investment portfolio choice.

In this seminar, we will explore some of the factors that contributed to the financial crisis, including the housing bubble, subprime mortgages, investment banking practices, and the role of the government. Then, we will study the domestic and international macroeconomic effects of this crisis.

In this seminar, we will explore a variety of medical imaging tools and techniques, including radiography, computed tomography (CT), nuclear medical imaging, sonography, and MRI. By investigating the underlying chemical and physical principles of medical imaging, students will gain a greater understanding of these technologies, and they will have the opportunity to ponder, discuss, and apply exciting, new concepts.