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Evaluation of Improper Integrals
Learn techniques to evaluate improper integrals using residue theory.
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Learn the fundamentals of Applications of Residues and its importance in Complex Analysis
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Applications of Residues Learning Map. 12 concepts.
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Learn techniques to evaluate improper integrals using residue theory.
Use residues to compute integrals arising in Fourier analysis.
Understand Jordan's lemma used in evaluating contour integrals.
Learn contour integration techniques using indented paths.
Handle branch points using indentation methods in contour integration.
Evaluate integrals along branch cuts in complex analysis.
Evaluate definite integrals involving sine and cosine using residues.
Use argument principle to count zeros and poles of analytic functions.
Apply Rouché's theorem to determine number of zeros in a region.
Compute inverse Laplace transforms using residue methods.
Explore worked examples applying residue techniques.
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Comprehensive module covering 5 sections in Functional Analysis.