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This course starts with an introduction to Linear Algebra. These concepts will be used to study the affine euclidean space and its transformations. In particular, we will focus on the study of isometries in the affine plane and space. The third part of the course is an affine and projective study of conics and quadrics.

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Symbolic computation provides algorithmic tools and methods that, in one hand are useful to support the learning and understanding of Mathematics and, on the other, contribute to the resolution of computational aspects arising in engineering. Although an important part is theoretical, the character of the course will be highly practical. This philosophy will be carried out by means of computer lab classes where the teaching of the symbolic concepts will be combined with the use of the symbolic software in an interactive mode.

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Se abordan conceptos geométricos fundamentales, como las transformaciones geométricas del espacio euclídeo, y las herramientas algebraicas necesarias para su estudio y aplicación a la resolución de problemas aplicados a la ingeniería.