Complex Numbers, Complex Functions. Derivatives and Analyticity, Cauchy-riemann Equations. Harmonic Functions, The Extended Complex Plane, Conformal Mappings. Line Integrals, Cauchy Theorem, Liouville Theorems and The Fundamental Theorem of Algebra. Cauchy Formula For A Function and Its Derivatives. Power Series, Radius of Convergence, Laurent Series, The Z-transform and Its Inverse. Zeroes, Singular Points and Their Classification. The Residue Theorem and Calculation Of Residuals. Application to Real Integrals. The Argument Theorem And Rouche's Theorem.

Faculty: Mathematics
|Undergraduate Studies

Pre-required courses

104004 - Differential and Integral Calculus 2 or 104013 - Differential and Integral Calculus 2t or 104022 - Differential and Integral Calculus 2m or 104032 - Calculus 2m or 104043 - Differential and Integral Calculus 2m1 or 104044 - Differential and Integral Calculus 2m2 or 104281 - Infinitesimal Calculus 2


Course with no extra credit (contains)

104122 - Complex Function Theory 1 104221 - Complex Functions and Integral Transform


Semestrial Information