Complex numbers
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Statistics 110 (Probability), which has been taught at Harvard University by Joe Blitzstein (Professor of the Practice, Harvard Statistics Department) each year since 2006. Lecture videos, review materials, and over 250 practice problems with detailed solutions are provided. This course is an introduction to probability as a language and set of tools for understanding statistics, science, risk, and randomness. The ideas and methods are use...more
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This course offers a broad survey of modern European history, from the end of the Thirty Years' War to the aftermath of World War II. Along with the consideration of major events and figures such as the French Revolution and Napoleon, attention will be paid to the experience of ordinary people in times of upheaval and transition. The period will thus be viewed neither in terms of historical inevitability nor as a procession of great men, b...more
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The American Revolution entailed some remarkable transformations--converting British colonists into American revolutionaries, and a cluster of colonies into a confederation of states with a common cause--but it was far more complex and enduring then the fighting of a war. As John Adams put it, "The Revolution was in the Minds of the people... before a drop of blood was drawn at Lexington"--and it continued long past America's victory at Yo...more
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Astrobiology is a new meta-discipline which combines astronomy, biology, chemistry, philosophy, and physics in an effort to study the current state of life in the universe. In the Stanford Astrobiology Course, lectures follow a, more or less, linear path from the Big Bang all the way to the development of complex life and, finally, space exploration. The course explains how evolutionary principles have operated at the macro, and micro, ...more
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Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODEs) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's, especial...more
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Hemingway, Fitzgerald, Faulkner (AMST 246)Professor Wai Chee Dimock continues her discussion of Light in August by showing how the kindness of strangers turns into malice in the cases of social reformer Joanna Burden and Reverend Hightower. Whereas that malice assumes comedic tones in the depiction of Joanna's death, it has more complex valences in the case of Reverend Hightower, who is both ethically delicate towards his neighbors and ins...more
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In this lecture, Professor Diamond continues her discussion of hematology by describing the two major blood cell types, erythrocytes and leukocytes. She begins by reviewing erythrocytes (red blood corpuscles or RBCs) and their characteristics. She discusses differences between RBC counts in men and women and factors like exercise that impact RBC counts. She then contrasts the properties of erythrocytes with those of leukocytes, noting t...more
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Early Modern England: Politics, Religion, and Society under the Tudors and Stuarts (HIST 251)Professor Wrightson reviews the consequences of the economic and population changes discussed in the last lecture. While economic shifts allowed some members of English society, especially members of the gentry and the land-holding classes, to increase their wealth, they also (coupled with an expanding population and price inflation) resulted in th...more
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Prior to Malthus, population growth was seen as good for the power and wealth of a country. The rapid population growth of America was crucial in expelling England (via the Revolution) and France (via the Louisiana Purchase) from the US. But in fact, the numbers of the poor were growing in Europe in the 1700s. Malthus argued that poverty was due to an imbalance between people and resources; since population could rise very fast, it could a...more
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Environmental Politics and Law (EVST 255) The lecture begins a discussion of present and future energy demands and the ways in which we invest in different forms of energy by focusing on nuclear energy use globally. The risks associated with nuclear energy are described, including risk of human error leading to a mass evacuation event, and the challenges faced in finding an adequate nuclear waste storage facility for the United States. ...more
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Professor Kleiner analyzes the major public architectural commissions of the emperor Trajan in Rome. Distinguished by their remarkably ambitious scale, these buildings mimic Trajan's expansion of the Roman Empire to its furthest reaches. Professor Kleiner begins with Trajan's restoration of the Forum of Julius Caesar and proceeds to the Baths of Trajan. Situated on the Oppian and Esquiline Hills, these Trajanic baths follow the basic model...more
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In this lecture, Professor Diamond continues her discussion of the nervous system and begins by reviewing the telencephalon before transitioning into a discussion of the six layers of the neocortex. She discusses the hippocampal-dentate complex, the archicortex, and the temporal lobe, which contains the hippocampus and pyramidal cells along with the fimbrea, fornix, and mammilary bodies. To enhance students' understanding of the neural tu...more
