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Calculus and University-level Mathematics: differentiation, integration, vector calculus, ODEs/PDEs, Fourier series, vector gradients, coordinate systems, etc.
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Linear algebra: vectors, matrices, linear transformations, matrix inversion, eigenvalues and eigenvectors, matrix factorization, SVD, least squares solutions, etc.
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Probability and Statistics: random variables, random processes, expectation, mean and variance, independence and conditional probability, law of large numbers, stationarity, correlation, Markov chains, central limit theorem, etc.
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Inference: maximum likelihood and Bayesian estimation, regression, classification, clustering, Markov models and Hidden Markov models, Monte Carlo, etc.
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