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Complex Variables · Calculus

Laurent Series and Residues

Laurent series allow negative powers. The residue at a pole determines the contour integral, and remarkably evaluates many real definite integrals.

WHAT STUDENTS WILL LEARN
Expand functions in Laurent series around singularities
Classify singularities: removable, poles, essential
Identify residues
Apply the Residue Theorem to evaluate real integrals
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