My name is Parisa Alvandi, a graduate student at Western University in the department of Computer Science. In fact, I am doing a Ph.D. in Computer Algebra, also called Scientific Computing under the supervision of Profs. Marc Moreno Maza . The goal of my Thesis is to design mathematical algorithms in order to recover the limit points of equation systems and as an application compute the tangent space and tangent cone of algebraic surfaces which are used to compute the intersection multiplicity. The very essential tool that I am using to do so is regular chains theory . The work we have done by now for my thesis is part of RegularChains Library written in Maple. I have a strong background in mathematics and am so interested in the challange of scientific computational problems and apply the art of mathematics to Science and Industry.