Graphs
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Note: This course is being offered by Stanford this summer as an online course for credit. It can be taken individually, or as part of a master’s degree or graduate certificate earned online through the Stanford Center for Professional Development. This course is the natural successor to Programming Methodology and covers such advanced programming topics as recursion, algorithmic analysis, and data abstraction using the C++...more
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This course is the second of a two-term sequence. The focus is on coding techniques for approaching the Shannon limit of additive white Gaussian noise (AWGN) channels, their performance analysis, and design principles. After a review of Principles of Digital Communication I and the Shannon limit for AWGN channels, the course begins by discussing small signal constellations, performance analysis and coding gain, and hard-decision and
Despite cautions from their conservative elders, young chemists like Paternó and van't Hoff began interpreting molecular graphs in terms of the arrangement of a molecule's atoms in 3-dimensional space. Benzene was one such case, but still more significant was the prediction, based on puzzling isomerism involving "optical activity," that molecules could be "chiral," that is, right- or left-handed. Louis Pasteur effected the first...more
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The discussion of suicide continues. A few more cases are introduced to consider circumstances under which it might be rational to end one's life, and more graphs are drawn that show relevant variations in the quality of one's life. A question is then posed about how one should make a decision about continuing or ending life, given that one cannot know the future with certainty. Finally, two quick moral arguments concerning suicide which...more
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Understanding concave upwards and downwards portions of graphs and the relation to the derivative. Inflection point intuition.
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Exploring the graphs of trig functions.
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