Class Linear Algebra

In the sequence of Mathematics Discrete, the Algebra Linear is a discipline of the 2nd semester of the course and studies the vector spaces that are finitely generated. The vector spaces studied are on a field, namely prime fields or on the field of reals numbers The study of vector spaces gives students competence to analyze problems and equate them and define diversified resolution strategies. Linear applications lead to the concept of a matrix that appears as a calculation tool in the study of vector spaces. The student acquires some techniques of matrix calculus and gives the set of the finite matrices the structure of vectorial space.

Not applicable

Algebraic strutures: commutative groups, rings and fields. The Z p fields, p is a number prime. Vector spaces finitely generated. Vector subspaces Equivalent vector systems. linear dependency. Steinitz's theorem and its consequences. Linear maps. Isomorphisms Matrices on a field.: Matrix vector spaces. Product of matrices Systems of linear equations: Study and resolution of systems of linear equations. Representation        of subspaces through systems of linear equations Determinants: Properties of determinants. Theorem of La Place Eigen values and eigen vectors.

The continuous evaluation part, contain a component of the students' involvement and their participation in classes,  was introduced, which can be seen in the evaluation rules of the course that is included in this sheet. This evaluation  encourages the student to pay attention to the concepts presented. In the last 30m of class, a synthesis of the subjects covered is made, which  is guided by the students' intervention. The placement of doubts about subjects covered in class counts positively in the evaluation. The final 30m represents a first study approach to the subjects covered in each class. The assignments represent an excellent way of approximation between teacher and student and allow the acquisition of skills in terms of the importance of problem-solving strategies or study strategies in terms of time management. It is hoped that these initiatives will produce positive effects leading to greater success.

Almada, T.; Álgebra Linear , Edições Universitárias Lusófonas, 2007. Pires dos Santos, J.M.; Tópicos de Álgebra Linear , J. M., AEFCUL, 1995. Magalhães, L. T. ; Álgebra Linear como introdução à Matemática Aplicada , Texto Editora, 2001. Almada, T.; Elementos de Álgebra Linear , Sebenta, Edições Universitárias Lusófonas, 2008