Mathematics

With this unit, it is intended to develop the student’s reasoning, behaviours, methodologies, best practices of scientific thinking and allow them to be able to:
* Understand and use elementary math concepts, operate with real numbers, solving equations, etc.;
* Interpreting phenomena and solve problems using functions and their graphs;
* Solve trigonometry problems, including the use of generalizations of notions of angles and trigonometric ratios;
* Apply mathematical knowledge in the field of information and communication technologies.

1. ELEMENTS OF TRIGONOMETRY
2. COMPLEX NUMBERS
3. ELEMENTS OF ANALYTICAL GEOMETRY
4. REAL FUNCTIONS OF REAL VARIABLE (notion of function, domain, injective, surjective and bijective function, real function of real variable and graph, even and odd function, monotony, composite function, inverse function, relation between the graphs of a function and its inverse, exponential and logarithm functions of base a, particular case a = e, applications, limit and continuity)
5. DIFFERENTIAL CALCULUS (definition of derivative and geometric interpretation, derivation rules, monotony and concavity, calculus of limits by the Cauchy rule, unrestricted optimization problems, applications)
6. IMMEDIATE PRIMITIVES (definition, properties, use of tables in the calculus of primitives)
7. INTRODUCTION TO LINEAR PROGRAMMING (problem formulation, linear programming model, permissible region and graphical resolution, particular cases: impossible problem and unlimited problem)

NAO

Primitivas e integrais: exercícios resolvidos. Gonçalo Pinto. Edições Silabo, 2011.

Programação linear. Manuel Ramalhete, Jorge Guerreiro, Alípio Magalhães. McGraw-Hill, cop. 1984.

Belmiro Costa, Ermelinda Rodrigues, Novo Espaço – Matemática A – 12.º Ano, Porto Editora

Primitivas e integrais: exposição clara da matéria com exercícios propostos e resolvidos. Manuel Alberto M. Ferreira, Isabel Amaral. Edições Sílabo,1996.

Programação matemática: programação linear – simplex : programação inteira – transportes e afectação : teoria dos jogos. Manuel Alberto M. Ferreira, Isabel Amaral. Edições Sílabo, 1995.

Apontamentos e Fichas Práticas fornecidas pelos docentes na plataforma Moodle.

Cálculo. James Stewart. São Paulo: Pioneira – Thomson Learning, 2001.

Vladimir Machado, Jaime Carvalho e Silva, Joaquim Pinto, 12º Ano – Matemática, NiuAleph