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Quantum EngineeringYear 0: Mathematical FoundationsMonth 3Day 83

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Year 0·Month 3·Week 4

Day 83: Computational Lab — Laplace Transforms in Python

Day 83 of 2,016~8 min read

Learning Objectives

  • •Compute Laplace transforms symbolically with SymPy
  • •Solve ODEs using the transform method in Python
  • •Visualize step and impulse responses
  • •Compare transform vs direct numerical solutions
  • •Simulate RLC circuits and control systems

Today's Schedule (7 hours)

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Schedule OverviewLearning ObjectivesSetupLab 1 Symbolic Laplace Transforms11 Computing Transforms12 Inverse TransformsLab 2 Solving ODEs with Laplace Transforms21 First-Order ODE22 Second-Order ODELab 3 Step and Impulse Response31 Impulse Response Greens Function32 Response to Switched InputLab 4 RLC Circuit SimulationLab 5 Transfer FunctionsLab Completion ChecklistLab Report AssignmentTomorrow Rest and Review
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