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Quantum Engineering Year 0: Mathematical Foundations Month 3Day 76

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Year 0·Month 3·Week 3

Day 76: Computational Lab — Systems of ODEs in Python

Day 76 of 2,016~7 min read

Learning Objectives

•Compute eigenvalues and eigenvectors in Python
•Solve systems of ODEs numerically
•Generate phase portraits programmatically
•Visualize stability and trajectories
•Simulate coupled oscillators and other applications

Today's Schedule (7 hours)

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Schedule Overview Learning Objectives Setup Lab 1 Eigenvalue Analysis 11 Computing Eigenvalues and Eigenvectors 12 Symbolic Computation with SymPy Lab 2 Solving Systems Numerically 21 Basic System Solving Lab 3 Phase Portraits 31 Full Phase Portrait with Direction Field Lab 4 Coupled Oscillators Lab 5 Predator-Prey Model Lab Completion Checklist Lab Report Assignment Tomorrow Rest and Review

Day 75Day 76 of 2,016Day 77