Distributions
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Note: This course is being offered this summer by Stanford 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. The goals for the course are to gain a facility with using the Fourier transform, both specific techniques and general principles, and learning to recognize when, why, and how it is used....more
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This is a math course aimed at students with life science majors covering elementary probability, probability distributions, random variables, and limit theorems.
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Professor Sylvia Ceyer focuses on p-orbitals, describing nodal planes, angular nodes, and radial probability distributions. The conversation continues forward to wavefunctions for multielectron atoms, beginning with an explanation of electron configuration. The Pauli and spin exclusion principle is covered, and the lecture concludes with a discussion of one electron wavefunctions for multielectron atoms.
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Cop Story, Review Of Rapidly Decreasing Functions, Generalized Functions (Distributions) (Delta Function, Etc.), Viewing Delta As A Limit V. Operationally, Definition Of A Distribution, Delta As A Distribution, Discussion Of How To Consider Ordinary Functions In This Space; Pairing Through Integration
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Constructing small sample size confidence intervals using t-distributions.
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Biased random walks, distributions
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Standard distribution, binomial distribution, two random variables.
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Standard normal distribution, cumulative distribution function.
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Poisson distribution, poisson processes.
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Poisson distribution, continuous trials, poisson processes.
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Normal distribution.
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Continuous random variables, exponential distribution.
