← Theoretical / proof-based

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In this program

Complex numbers, polar form, and Euler's formula
Limits, continuity, and differentiability in the complex sense
Cauchy–Riemann equations and harmonic functions
Elementary analytic functions: exp, log, powers, and trig functions
Branch cuts and multivalued functions

Complex numbers and analytic functions

Cauchy–Riemann equations and harmonic functions

Complex analysis · Theoretical / proof-based

Topic

Cauchy–Riemann equations and harmonic functions

Practice by unit: Complex numbers and analytic functions

Undergraduate Complex Analysis — scope drawn from open complex analysis notes (e.g. Beck et al. A First Course in Complex Analysis) and typical US undergraduate syllabi.

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