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Quantum Engineering Year 0: Mathematical Foundations Month 5Day 130

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Year 0·Month 5·Week 3

Day 130: Elementary Complex Functions

Day 130 of 2,016~15 min read

Learning Objectives

•Extend exponential, logarithmic, and trigonometric functions to ℂ
•Understand and work with Euler's formula
•Handle the multi-valued nature of complex logarithm
•Compute complex powers using principal values
•Relate hyperbolic and trigonometric functions in ℂ
•Apply these functions in quantum mechanics contexts

Today's Schedule (7 hours)

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1 The Complex Exponential 2 The Complex Logarithm 3 Complex Powers 4 Complex Trigonometric Functions 5 Complex Hyperbolic Functions 6 Inverse Trigonometric Functions 7 Quantum Mechanics Connection

Day 129Day 130 of 2,016Day 131