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Quantum Engineering Year 0: Mathematical Foundations Month 5Day 131

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Year 0·Month 5·Week 3

Day 131: Complex Integration & Cauchy's Theorem

Day 131 of 2,016~15 min read

Learning Objectives

•Compute contour integrals of complex functions
•State and understand Cauchy's Theorem
•Apply Cauchy's Integral Formula
•Evaluate integrals using deformation of contours
•Understand why analyticity makes integration powerful
•Connect contour integration to quantum mechanics

Today's Schedule (7 hours)

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1 Contour Integrals 2 Computing Contour Integrals 3 The Fundamental Example zn dz 4 Cauchys Theorem 5 Consequences of Cauchys Theorem 6 Cauchys Integral Formula 7 Applications 8 Quantum Mechanics Connection

Day 130Day 131 of 2,016Day 132