Akademik Dersler - İçerik

express algebraic and geometric properties of complex numbers.
Define the complex field.
Define the concept of geometric interpretation of complex numbers.
Express a complex number as a polar and exponential form.
Calculate the roots and powers of complex numbers.
define the topological and analytic preliminaries in the comex plane.
Express point sets in the complex plane.
Define the concept of compactness.
Define the stereographic projection.
define the functions of complex variables.
Evaluate basic mappings.
define the concept of limit and continuity.
Express theorems on limits.
Calculate limits involving the point at infinity.
Define the concept of continuity.
define the elementary functions.
Express the exponential function.
Define the trigonometric functions.
Express the logarithmic function and its branches.
define the concept of analytic functions.
Express the concept of derivatives of complex functions.
Express the Cauchy-Riemann equations.
Define the analytic functions.
Express the harmonic functions.