Tópicos de Matemática

Knowledge and mastery of the subjects taught in Mathematics in secondary school.

The following teaching methodologies are used in this curricular unit:

1) Verbal methods (say), making use of the following educational resources: Exposition, Explanation, Dialogue and questioning;

2) Intuitive Methodologies (show), making use of the following educational resources: Demo, Audiovisual, written texts;

3) Active Methodologies (to do), making use of pedagogical resources: problem solving; technology.

As this is a curricular unit in the area of ​​basic sciences, it is intended that students develop competencies of interpretation, calculation and relational skills that are relevant to the acquisition of knowledge and skills in other curricular units.

In particular, it is intended that students:

a) remember and apply knowledge related to Set Theory and Logic.

b) compute matrices operations and apply this knowledge to solve problems, namely those that involve solving systems of linear equations.

c) understand and apply differential calculus techniques in IR and IR^n and integral calculus techniques in IR.

1. Topics of Differential and Integral Calculus in IR:

• review of derivation rules in IR;
• integration in IR.

2. Topics of Differential Calculus in IR^n:

• vector variable functions;
• partial derivatives.

3. Logic and Set theory:

• representation of sets, relation of belonging and inclusion of sets;
• operations on sets: reunion, intersection, difference and complementation;
• definition and logical value of a proposition;
• propositional calculation: negation, conjunction, disjunction of propositions;
• truth tables.

4. Matrices and Systems of Linear Equations:

• matrix algebra;
• matrix condensation;
• solving systems of linear equations;
• inverse of a matrix;
• determinants: Laplace’s theorem;
• adjugate matrix.

NAO