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Quantum Engineering Year 0: Mathematical Foundations Month 5Day 136

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Year 0·Month 5·Week 4

Day 136: The Residue Theorem

Day 136 of 2,016~13 min read

Learning Objectives

•State and prove the Residue Theorem
•Apply the theorem to evaluate contour integrals
•Choose appropriate contours for different problems
•Handle multiple singularities
•Understand the connection to Cauchy's integral formula
•Apply to physics problems

Today's Schedule (7 hours)

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On this page

1 The Residue Theorem Statement 2 Proof of the Residue Theorem 3 Connection to Earlier Results 4 Strategy for Applying the Residue Theorem 5 Examples Direct Application 6 The Extended Residue Theorem 7 Residue at Infinity 8 Quantum Mechanics Connection

Day 135Day 136 of 2,016Day 137