positive definite matrices
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This is a basic course on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.
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Is love a kind of obsession? Is it a positive or an unhealthy phenomenon? How can we recover from the loss of a partner or deal with the pain of separation and divorce? Healthy and unhealthy modes of conflict resolution will be discussed as well as pathological forms of love, such as erotomania, extreme jealousy, revenge and stalking.
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Guy Kawasaki, founder and Managing Director of Garage Technology Ventures, believes that those companies who set out to make a positive change in the world are the companies that will ultimately be the most successful. He gives examples of the best way to make meaning: increase quality of life, right a wrong, and prevent the end of something good.
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This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space.
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Professor Diamond continues her discussion of the nervous system and begins by revisiting her discussion of the ascending path. She notes the presence of substantia gelatinosa in the area of the second neuron and describes the concept of homunculus, which is the upside-down representation of the body in the brain, and notes that this does not occur in the face for reasons unknown to neurologists. Professor Diamond then begins describing th...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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Miroslav Volf, the Henry B. Wright Professor of Systematic Theology and Director for the Yale Center for Faith and Culture, reviews various possible positive and negative characterizations of the impact of both religion and globalization forces.
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After pointing out several discrepancies between electron difference density results and Lewis bonding theory, the course proceeds to quantum mechanics in search of a fundamental understanding of chemical bonding. The wave function ψ, which beginning students find confusing, was equally confusing to the physicists who created quantum mechanics. The Schrödinger equation reckons kinetic energy through the shape of ψ. When ψ curves toward zer...more
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This lecture traces the development of elemental analysis as a technique for the determination of the composition of organic compounds beginning with Lavoisier's early combustion and fermentation experiments, which showed a new, if naïve, attitude toward handling experimental data. Dalton's atomic theory was consistent with the empirical laws of definite, equivalent, and multiple proportions. The basis of our current notation and of precis...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 this lecture, Professor Donald Kagan explores the rise, fall, and significance of tyrannies in the Greek polis. He argues that the various tyrannies in the Greek world had both negative and positive aspects, which need to be appreciated. For instance, on the one hand, tyrannies promoted economic, commercial and artistic advances. On the other hand, tyrannies ruled absolutely and curbed the freedom of the polis. Finally, Professor Kaga...more
