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Quantum EngineeringYear 0: Mathematical FoundationsMonth 1Day 27

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Year 0·Month 1·Week 4

Day 27: Computational Lab — Integration in Python

Day 27 of 2,016~8 min read

Learning Objectives

  • •Compute integrals symbolically with SymPy
  • •Implement Riemann sums in Python
  • •Use scipy.integrate for numerical integration
  • •Visualize areas under curves
  • •Apply integration to physics problems

Today's Schedule (7 hours)

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Schedule OverviewLearning ObjectivesSetupLab 1 Symbolic Integration with SymPy11 Basic Indefinite Integrals12 Definite Integrals13 Substitution VerificationLab 2 Riemann Sums Implementation21 Riemann Sum Functions22 Visualizing Riemann SumsLab 3 Numerical Integration with SciPy31 Using scipyintegratequad32 Comparing Numerical MethodsLab 4 Area Visualization41 Area Under a Curve42 Area Between CurvesLab 5 Physics Applications51 Work Done by a Variable Force52 Probability from a DistributionLab Completion ChecklistLab Report AssignmentTomorrow Rest and Review
Day 26Day 27 of 2,016Day 28