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Lecture
Finite Differences Proof
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Finite Differences: Definition and Proof
Covers the definition of the center of a function using finite differences and provides step-by-step proofs.
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Fourier Series: Understanding Coefficients and Periodicity
Explores Fourier series coefficients, periodicity, and series relations.
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Covers the concept of numerical derivatives of order 1 and the importance of choosing a small fixed value for h.
Distributions and Derivatives
Covers distributions, derivatives, convergence, and continuity criteria in function spaces.
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Hitting Probabilities: Markov Chains
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Covers advanced topics in numerical analysis, focusing on techniques for solving complex mathematical problems.
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Explains equivalence in linear algebra and set calculations with illustrative examples.
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Explores hitting probabilities in Markov chains, covering minimal solutions, proofs, and recursive relationships.