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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 examine the building blocks which make up the interlocking systems of language and observe how those systems are enacted and granted layers of meaning through social practice.
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.
Contemporary efforts to confront our most pressing ecological problems are characterized by a tension between the global realities of these problems and the territorial borders and logics that define sovereign nation-states. This course will explore this tension in three parts. First, we will engage with a variety of theoretical and conceptual debates introduced by scholars of global environmental politics — a heterodox field that draws insights from international relations theory, international political economy, ecological economics, and environmental sociology (among others).
In this wide-ranging introduction to the study of international politics, we will be exploring how states and non-state actors negotiate their interactions in an increasingly interconnected, interdependent and globalized world.
This course addresses the theories, methods, ethics, and actual outcomes of language documentation, revitalization, and reclamation work. Students will examine the causes and consequences of language endangerment, strategies for revitalization, and community-led initiatives in reclaiming linguistic and cultural heritage. Case studies from around the world will provide insight into real-world applications of language work and the diversity in form that this work takes depending on context.
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.