Complex Analysis
Functions of a complex variable: analyticity, Cauchy’s theorem, contour integration, Laurent series, residues, and conformal mappings. Where calculus becomes elegant.
Course Overview
Textbook |
Churchill & Brown, Complex Variables and Applications |
Chapters |
TBD |
Sections |
TBD |
Prerequisites |
|
Target |
Signal processing, quantum mechanics, advanced engineering mathematics |
Status |
Planned |
Chapters will be scaffolded when this course becomes active.
Why This Course
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Signal processing — Fourier and Laplace transforms live in the complex plane
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Control theory — transfer functions, Nyquist diagrams, stability
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Fluid dynamics — conformal mappings solve 2D flow problems
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Number theory — the Riemann zeta function is complex analysis
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Quantum mechanics — wave functions are complex-valued