Complex Numbers, Complex Functions. Derivatives, Analyticity And The Cauchy-riemann Equations. Harmonic Functions, The Extended Complex Plane, Conformal Mappings. Line Integrals, The Cauchy And Liouville Theorems. The Cauchy Formula For a Function And Its Derivatives. Power Series, Radius of Convergence, Laurent Series. Zeroes, Singular Points and Their Classification. The Residuum Theorem and Calculation of Residua. Application to Real Integrals. The Argument Theorem and Rouche's Theorem. The Fourier Transform and Its Properties. The Inverse Transform, The Plancharel Equality, Convolutions and The Delta Function. Applications To Pdes. The Laplace Transform, Its Properties and Inversion. Applications to Signal Analysis. The Z-transform.

Faculty: Mathematics
|Undergraduate Studies

Pre-required courses

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

104122 - Complex Function Theory 1 104214 - Fourier Series and Integral Transforms 104273 - Int.to Functional and Fourier Analysis 104276 - Introduction to Functional Analysis 234299 - Math. Methods For Computer Applications


Course with no extra credit (contained)

104215 - Complex Functions A


Semestrial Information