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Quantum Engineering Year 0: Mathematical Foundations Month 2Day 43

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Year 0·Month 2·Week 3

Day 43: Double Integrals over Rectangles

Day 43 of 2,016~7 min read

Learning Objectives

•Understand double integrals as limits of Riemann sums
•Interpret double integrals as volumes
•Evaluate double integrals using iterated integrals
•Apply Fubini's Theorem
•Compute double integrals over rectangles

Today's Schedule (7 hours)

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On this page

1 Motivation Volume Under a Surface 2 Definition via Riemann Sums 3 Geometric Interpretation Iterated Integrals 4 Fubinis Theorem 5 Iterated Integral Notation 6 Order of Integration

Day 42Day 43 of 2,016Day 44