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Quantum Engineering Year 0: Mathematical Foundations Month 7Day 174

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Year 0·Month 7·Week 1

Day 174: Computational Lab — Complex Analysis in Practice

Day 174 of 2,016~14 min read

Learning Objectives

•Visualize complex functions using domain coloring and magnitude/phase plots
•Numerically verify the Cauchy-Riemann equations
•Implement conformal mappings interactively
•Solve the Poisson equation numerically
•Simulate quantum wave functions using complex analysis tools
•Create publication-quality visualizations

Today's Schedule (7 hours)

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Schedule Overview Learning Objectives Lab 1 Domain Coloring Visualization Lab 2 Cauchy-Riemann Verification Lab 3 Interactive Conformal Mapping Lab 4 Poisson Equation Solver Lab 5 Quantum Wave Function Visualization Lab 6 Integration Project Complex Potential Flow Summary Labs Completed Key Python Libraries Daily Checklist Preview Day 175

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