Matemática Complementar

TeSP - Instalações Elétricas e Manutenção Industrial
5 ECTS; 1º Ano, 2º Semestre, 60,0 TP



a) Retrieve and consolidate knowledge of numbers and algebra;
b ) Acquire knowledge on succession and functions at the secondary level;
c ) Use mathematical skills in problem solving and reality interpretation.

1. Numbers and Elementary Algebra
1.1. natural numbers, integers, rational and real - concepts and operative rules;
1.2. Polynomials - factoring polynomials, notable cases of multiplication, integer division of polynomials and simplifying algebraic expressions;
1.3. Equations and inequalities - solving equations and polynomials inequalities and modules, ratios, proportions and percentages.

2. Succession and real functions of real variable
2.1. Overview of numerical sequences;
2.2. monotonous succession and inheritance limited;
2.3. arithmetic progressions and geometric progressions;
2.4. Convergence of a succession - limits, benchmarks and algebra limits;
2.5. Overview of real functions of real variable;
2.6. Limits and continuity of functions;
2.7. Derivative of a function - derivative of a function at a point, geometric interpretation of the derivative; calculating derived using the definition;
2.8. algebraic and transcendental functions.

Evaluation Methodology
Two written tests , without consultation, on each of the chapters , with a weight of 75 % . Work group developed in the last five weeks of the semester , with a 25 % weight. The final mark ( continuous evaluation ) is the rounded weighted average.

- Sá, A. (2012). Introdução ao Cálculo. Lisboa: Escolar Editora
- Tavares, J. (0). Temas de Matemática Elementar.Acedido em22 de fevereiro de 2016 em
- Educação e Ciência, M. (0). Manuais recentes de Matemática do Ensino Secundário.Acedido em22 de fevereiro de 2016 em

Method of interaction
The fundamental principles are transmitted , being described and exemplified their applications . Students are instructed in the use , criticism, analysis and interpretation of principles and calculation methods used and not using calculator.

Software used in class
Excel and Wolframalpha online.