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IPLUSO 505

Mathematics II

Electrical Installations and Automation
  • ApresentaçãoPresentation
    In a post-secondary cycle of studies in the area of ¿¿technologies and engineering, the curricular units in the scientific area of ¿¿Mathematics play a relevant role. Are essential for students acquire basic knowledge needed in other curricular units of the study cycle that require mathematical knowledge or skills and competences acquired with work in the curricular units in this area. The Mathematics II unit aims to introduce essential concepts and tools in the context of differential and integral calculus, essential in the training of qualified staff in the area of ¿¿the study cycle. Mathematical contents are essential in the training of qualified professionals, whether in the understanding and consolidation of the different concepts or specific knowledge of their applicability. Concepts of functions, limits, derivatives and an introduction to integral calculus with application in other areas of the study cycle are explored.
  • ProgramaProgramme
    1. Brief topological notions. Complement the study of real functions of a real variable (modulus, polynomial, exponential, logistic, logarithmic). Reverse function. 2. Limits and continuity of functions. Weierstrass Theorem and Bolzano Theorem. 3. Derivative and differential of a function. Geometric interpretation. Derivation rules. Study and applications of the first derivative. Study and applications of the second derivative. Cauchy's Rule. Study full of functions.  
  • ObjectivosObjectives
    The main objective of the curricular unit is to acquire basic knowledge already worked in secondary education and others gradually from mathematical analysis and to develop mathematical skills and competences. It is intended to introduce essential concepts and tools in the context of the study of mathematical models and differential and integral calculus, essential in the formation of future qualified staff in the field of the study cycle. The aim is to consolidate and complement the mathematical training previously acquired, acquire fundamental mathematical training in the domain of differential and eventually one-dimensional integral calculus and also develop the capacity for abstraction in the domain of formulating and solving problems. In a more sustained way provide a deeper knowledge about the concepts of limit, continuity, derivative and indefinite integral, the relationship between these concepts and their application in real context.
  • BibliografiaBibliography
    Almeida, Ricardo - Cálculo, Teoria e Exercícios. 1ª Edição. Lisboa: Plátano Editora. 2017. ISBN:978 989 760 125 5. Simões, Vasco - Análise Matemática 1. 1ª Edição. Lisboa: Edições Orion. 2009. ISBN: 978 972862 014 1 Monteiro, António, Matos, Isabel e Miranda, Virginia - Derivadas. 1ª Edição. Lisboa: EdiçõesOrion. 2015. ISBN 978 972 862 028 8 Stewart, James - Cálculo - volume I. 5ª edição. São Paulo: Thomson Pioneira. 2005. ISBN: 978852 210 479 6 Ramalhete, M., Guerreiro J., e Magalhães J., - Programação Linear. 1ª Edição. Lisboa.McGraw-Hill. 1985. ISBN 972 9241 03 1
  • MetodologiaMethodology
    Resource and use other source informations.
  • LínguaLanguage
    Português
  • TipoType
    Semestral
  • ECTS
    6
  • NaturezaNature
    Mandatory
  • EstágioInternship
    Não