systems of equations
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Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus before starting here.
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In this lecture, Katie Brakora, the head GSI, introduces the course and the required texts and discusses strategies for success in studying human anatomy. She encourages students to take a systemic view of human anatomy, understanding systems in whole and in part, rather than focusing on memorizing terms. After this introduction, Brakora discusses the attributes of the human brain using a preserved sample. Then, Brakora surveys the hist...more
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Options introduce an essential nonlineary into portfolio management. They are contracts between buyers and writers, who agree on exercise prices and dates at which the buyer can buy or sell the underlying (such as a stock). Options are priced based on the price and volatility of the underlying asset as well as the duration of the option contract. The Black-Scholes options pricing model is one of the most famous equations in finance and off...more
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In 70CE the Romans destroyed the Temple in Jerusalem. Second Temple Judaism, whose worship consisted of animal sacrifice permitted by biblical command only at the Temple, would have to reinvent itself as Rabbinic Judaism. Contemporaneously, the authors of the New Testament Gospels were writing about the Jewish apocalyptic prophet whom they believed was the awaited messiah. For both the rabbis and the gospel writers, for both ancie...more
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A special event to mark the publication of Professor Barrow's new book, 'The Book of Universes'. This is a book about universes, a story that revolves around a single unusual and unappreciated fact: that Einstein’s famous theory of relativity describe universes – entire universes. Not many solutions of Einstein’s tantalizing universe equations have ever been found, but those that have are all very remarkable. Some of them describe universe...more
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Early Modern England: Politics, Religion, and Society under the Tudors and Stuarts (HIST 251)Professor Wrightson discusses local particularism and regionalism in early modern England and highlights the importance of local customs and economic patterns. He then focuses on the manner in which these local areas, while enjoying a measure of cultural, institutional, and economic autonomy, were simultaneously integrated into a larger national wh...more
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Professor Marian Diamond. The functional anatomy of the human body as revealed by gross and microscopic examination.The Department of Integrative Biology offers a program of instruction that focuses on the integration of structure and function in the evolution of diverse biological systems. It investigates integration at all levels of organization from molecules to the biosphere, and in all taxa of organisms from viruses to higher plants a...more
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SARS, avian influenza and swine flu are the first new diseases of the twenty-first century. They are all diseases of globalization, or diseases of modernity, and while relatively limited in their impact, they have offered dress-rehearsals for future epidemics. As information about SARS spread internationally in 2002, in spite of China's campaign of silence, the global response had a curiously twofold character: on one hand, the mobilizatio...more
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In order for Social Security to work, people have to believe there's some possibility that the world will last forever, so that each old generation will have a young generation to support it. The overlapping generations model, invented by Allais and Samuelson but here augmented with land, represents such a situation. Financial equilibrium can again be reduced to general equilibrium. At first glance it would seem that the model requires a s...more
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Estrin talks about the personal connectivity cycle. The cycle of connecting people is the notion of people being able to connect to each other and connect to information anywhere. This means true mobility and ubiquitous, high bandwidth connectivity, she says. The enablers of this cycle are economic and behavioral. From an IT demand perspective, she explains, the real win is in the consumer devices and services and not in the IT infrastruct...more
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Andy Friere, Co-founder and CEO of Axialent, describes the one-team culture archetype, one of the five basic cultural archetypes into which organizations fall: 1) Achievement, 2) Innovation, 3) One-team, 4) People-first or 5) Customer-focused. Specifically, Friere suggests that one-team cultures trade off the optimization of individual systems or people for the benefit of the entire organization. Friere describes the behaviors, symbols and...more
