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ISLA IPGT 1

Mathematics I

Safety at Work Engineering
  • ApresentaçãoPresentation
    Mathematics I provides knowledge in the area of Mathematical Analysis, which is an essential tool in solving various types of problems. Mathematics is a means of communication, a formal and precise language. It is one of the essential and necessary theoretical bases of all the great systems of interpretation of reality that guarantee social intervention with responsibility and give meaning to the human condition. Mathematical knowledge is part of the cultural heritage of humanity because it has its own characteristics and procedures that have also evolved in the context of other sciences.
  • ProgramaProgramme
    Polynomial functions Concepts and Definitions Ruffini Rule Polynomial Factoring Inequalities Rational and Irrationals Functions Rational Functions Fractional Equations and Fractional Inequalities Irrational Functions Irrational Equations and Irrational Inequalities Module Function Conditions on modules Branch-defined functions Algebra Functions Algebra Functions Composit Function Injective Function Inverse Function Exponential and Logarithmic Functions Exponential and Logarithmic Functions Exponential and Logarithmic Equations Applications of Exponential and Logarithmic Functions Limits and Continuity Computing Limits Indeterminate Forms Notable Limits Asymptotes of Rational Functions Derivatives and Differentiation Concepts Derivation Rules Implicit Differentiation Applications of Derivatives: Monotony, Concavity, Extremes and Points of Inflection  
  • ObjectivosObjectives
    The program of this course was designed with the objective to consolidate and extend their mathematical knowledge of students. Understanding concepts and techniques of differential calculus is the main objective. It is intended that students master the materials presented in the program, develop skills of abstraction and use critical sense with intuition and learning in this course in their area of training. It is also intended to provide students with sensitivity to the need for accuracy in language use and clarity of exposition and analytical capacity and autonomy for the use of particular mathematical techniques in solving concrete problems in their professional lives.
  • BibliografiaBibliography
    Gomes, C. (2024). Material de Apoio à Unidade Curricular de Matemática I. ISLA-Instituto Politécnico de Gestão e Tecnologia. Faria, Alzira; Figueiredo, Isabel M. P.; Brás, Helena, Análise Matemática I, Edições Sílabo Ayres, F. & Mendelson, E. 2000. Cálculo . McGraw-Hill Schaums Easy Outlines. Sarrico,C. (1999). Análise Matemática-leituras e exercícios (3ª ed.). Lisboa: Editora Gradiva. Budnick, F. S. (1993). Applied Mathematics for Business, Economics, and the Social Sciences (4ª ed.). McGraw-Hill. 
  • MetodologiaMethodology
    Use of moodle where the student has access to digital sebentas that allows him to absorb the content through the virtual medium and when arriving at the classroom is already aware of the subject to be developed. The "inverted classroom" makes it possible to know the concepts before approaching them allowing to monetize the time of learning. Use of applications (PhotoMath, Maple Calculator, Microsoft Math Solver ...) that, in real time, allow the student not only to acquire knowledge but also to support their study. Use of the interactive whiteboard to make presentations more dynamic. Use of platforms (such as Zoom) to allow students who cannot be in person not to miss the possibility of integrating the class.
  • LínguaLanguage
    Português
  • TipoType
    Semestral
  • ECTS
    6
  • NaturezaNature
    Mandatory
  • EstágioInternship
    Não