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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.
This course is designed to assist graduate students with the research and development of their new work. The weekly format is determined with the students. In class, they show works-in-progress, try out ideas with their colleagues, and discuss issues involved in their creative processes. Though the class meets only once a week, students are expected to spend considerable time each week in active, ongoing creative research; their independent projects will be presented to the public, either formally or informally, by the end of the term.
Graduate Teaching Fellows in Dance are integrated into the dance program as teaching assistants. In consultation with their academic advisors and the dance faculty, MFA candidates develop an assistantship schedule of approximately ten hours weekly; the courses they develop and teach are listed in the curriculum. All Teaching Fellows bring their own professional histories and contribute their own manners of teaching. Outside of listed class times, TBD, the Teaching Fellows will meet to discuss their courses with the designated faculty and with each other.
It is trite but true: kids grow up so fast. In this course we will discuss the incredible growth of infants, toddlers, and children in multiple domains (physical, cognitive, emotional/social). We will discover how growth in each domain affects the others. We will explore enduring topics of discourse in child development, such as nature and nurture, individual differences, and the nature of change.
How do cognitive neuroscientists examine words and word meanings? What are the different ways we can remember words, such as definitions (鈥減ollo鈥, 鈥渏i鈥, 鈥渃hicken鈥) and lyrics, and how do words work in our brains? Why do we sometimes struggle to remember a word that comes to mind easily later on? Are words and images stored together or separately in our brains? These questions and more will be addressed in this course, after an overview of the central nervous system.
How have psychologists defined feelings over the years, and how is the field continuing to change? We will begin with the 19th Century, when scientists like Wundt and Charcot brought human perception and mental health symptoms out of the realm of metaphysics. After briefly considering Darwin鈥檚 view of emotion and new perspectives on artwork from early asylums, we will evaluate emotion as featured in two central debates from the 20th Century: (1) the psychodynamic approach of Freud, one of Charcot鈥檚 students, versus humanism and (2) the behaviorists鈥 broad rejection of feelings a
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.
鈥I, at least, am not a Marxist鈥&苍产蝉辫;Karl Marx