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Quantum Engineering Year 0: Mathematical Foundations Month 2Day 52

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Year 0·Month 2·Week 4

Day 52: Green's Theorem

Day 52 of 2,016~7 min read

Learning Objectives

•State and understand Green's Theorem
•Apply Green's Theorem to evaluate line integrals
•Use Green's Theorem to find areas
•Understand circulation and flux forms
•Apply to physical problems

Today's Schedule (7 hours)

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On this page

1 Statement of Greens Theorem 2 What Greens Theorem Says 3 Notation 4 Vector Form Greens Theorem Examples Example 1 Basic Application Example 2 Circle Example 3 Verifying a Line Integral Computing Area Using Greens Theorem 5 Area Formulas Example 4 Area of Ellipse Flux Form of Greens Theorem 6 Flux Form 7 Interpretation Practice Problems Level 1 Basic Greens Theorem Level 2 Area Calculations Level 3 Verification Level 4 Applications Level 5 Theory Answers Quantum Mechanics Connection Stokes Theorem in 2D Magnetic Flux Daily Checklist Preview Tomorrow

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