Symbolic Mathematical Manipulation Systems

Necessary laboratory course for large number of mandatory courses. Introduction to symbolic mathematical manipulation systems. The Mathematica ©. Representation of symbolic math expressions. Arithmetic calculations. Symbolic calculations. Symbolic manipulation of mathematical representations. Basic functions. List and manipulation of a List. Functions. Programming. Introduction to the use of additional packages. Create new packages. Study specific topics from the fields Algebra (development-factorization expressions simplify-converting expressions into equivalent simpler forms, tables, sets) Analysis (exact and numerical solutions of equations and algebraic systems of equations, differentiation, series Taylor, limits, integration, series) and geometry (curves and surfaces of second order, static and animated graphics). Using other symbolic languages such Maple©,Reduce©,Macsyma©,Matlab©. Comparison.

Objectives

Upon successful completion of this course, students will be able to: a) use computational algebra systems such as Mathematica in order to solve mathematical problems in all areas of mathematics, b) to design algorithms for the symbolic/numerical solution of a mathematical problem and implement it in the programming language of Mathematica (in cases where this is not valid throught the commands of Mathematica), c) to present mathematical concepts to others in a more vivid way.

Prerequisites

Not available

Syllabus

Not available