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This foundational class covers modes of reasoning used in quantitative sciences and mathematics. While learning the art of mathematical modeling, i.e. translating the physical systems/real-life situations into mathematics, we will apply problem solving and practice effective communication of mathematics.
Differential equations are a powerful and pervasive mathematical tool in the sciences and are fundamental in pure mathematics as well. Almost every system whose components interact continuously over time can be modeled by a differential equation, and differential equation models and analyses of these systems are common in the literature in many fields including physics, ecology, biology, astronomy, and economics.
In this course students will learn to use social science statistics to test their own research questions, while becoming more educated consumers of statistical analyses presented in research and news sources. Students will employ various inferential statistics techniques commonly used in social science, such as confidence intervals, t-tests, chi-square testing, correlation, ANOVA, and regression. Students will manage and analyze data using the Stata statistical software package.
I would (and will) argue that Newton's Principia is the most important book yet written. It is certainly the most important book that a vanishingly small number of people have actually read.
Together with calculus, linear algebra is one of the foundations of higher-level mathematics and its applications. This is NOT just the algebra you know from high school. There are several perspectives one can take on linear algebra: it is a method for handling large systems of linear equations, it is a theory of linear geometry (including in dimensions larger than three), it is matrix algebra, and it is a theoretical structure that appears throughout mathematics, physics, computer science, and statistics.
In the eighteenth and nineteenth centuries, mathematics underwent a vast expansion, into new, exciting, and increasingly counter-intuitive realms. The subject risked mystification and mutual incomprehensibility between experts in different sub-fields. In the first part of the twentieth century, a group of French mathematicians, under the pseudonym Bourbaki, undertook an ultimately successful program to use the foundation of set theory to put all of mathematics onto a common conceptual and logical foundation.
How have economic histories and past structures shaped present-day realities? Why do patterns of inequality persist between the Global North and South? This course examines these questions by exploring the long-lasting economic effects of colonial encounters鈥攏ot just on the economies of formerly colonized countries, but also on those of the colonizers.
How do economic crises reshape economies and societies? What triggers recessions, inflation, and financial upheavals鈥攁nd how do governments respond? More importantly, how do these responses influence long-term economic structures and global dynamics?
In this seminar, we will dive into the complexities of today鈥檚 global economy, engaging with the most pressing economic challenges of our time. We will explore how economic policies, geopolitical dynamics, and global trends intersect, shaping the economic landscape. Through real-time data, contemporary research, and case studies, we鈥檒l analyze the forces driving change and the key decisions shaping the future of the global economy.
鈥I, at least, am not a Marxist鈥&苍产蝉辫;Karl Marx