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Complex analysis
Complex numbers
Differentiability and analyticity
Complex plane
Complex functions
Complex integration
Contour integrals and primitives
Zeros and isolated singularities
Cauchy-Riemann equations
Power series and elementary analytic functions
Complex integration and Cauchy’s Theorem
Cauchy’s Integral Formula and Taylor’s Theorem
Laurent series and singularities
Cauchy’s Residue Theorem
Complex derivative
Holomorphic functions
Harmonic functions
Elementary functions
Polynomial functions
Exponential functions
Trigonometric functions
Complex logarithm
Inverse trigonometric functions
Residue theory
Isometries in the complex plane
Major results