Learning Complex Function and Its Visualization with Matlab

South East Asian Conference On Mathematics And Its Applications (SEACMA) Proceedings, Institut Teknologi Sepuluh Nopember, Surabaya, November 6, 2010, p. 373-384This paper describes a learning process for visualizing a complex function with MATLAB. The research is a result of a lecture given for undergraduate students in Mathematics Department of Science and Mathematics Faculty at the Satya Wacana Christian University 2010. Complex function must be expressed into real part and an imaginary part in order to visualize it. We take some complex functions which are usually can also be found easily in real numbers. These are a quadratic function ( z2 ), a cubic function ( z3 ), an exponential function and trigonometric functions such as sin(z) and cos (z) and some their variations.By keeping the radius constant for any complex number in the complex plane, one may draw the domain of z in a complex plane and its image to an other complex plane. The angle is then kept to be constant to get a mapping curve based on the given function. Finally both parameters are varied to have general figures. We also illustrate a real part and an imaginary part of the function to be presented as a surface of two variables (x,y