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Quantum Engineering Year 0: Mathematical Foundations Month 2Day 53

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Year 0·Month 2·Week 4

Day 53: Surface Integrals and the Fundamental Theorems

Day 53 of 2,016~7 min read

Learning Objectives

•Parametrize surfaces and compute surface area
•Evaluate scalar surface integrals
•Evaluate flux integrals
•State and apply Stokes' Theorem
•State and apply the Divergence Theorem

Today's Schedule (7 hours)

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On this page

1 Parametric Surfaces 2 Surface Area Element 3 Scalar Surface Integral 4 Flux Integral Vector Surface Integral Surface Integral Examples Example 1 Surface Area of Sphere Example 2 Flux Through a Surface Stokes Theorem 5 Statement 6 Interpretation 7 Special Case Stokes Theorem Example Example 3 Verify Stokes Theorem Divergence Theorem 8 Statement 9 Interpretation Divergence Theorem Example Example 4 Apply Divergence Theorem Summary The Three Major Theorems Practice Problems Level 1 Surface Integrals Level 2 Stokes Theorem Level 3 Divergence Theorem Level 4 Applications Answers Quantum Mechanics Connection Maxwells Equations Continuity Equation Daily Checklist Preview Tomorrow

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