ISLA IPGT 505

Mathematics II

• ApresentaçãoPresentation

  This Curricular Unit (UC), the basic subject of the Computer Engineering course, provides students with the acquisition of general skills in the area of Mathematical Analysis, related to the most important concepts for the course. The syllabus of this UC provides the student with the necessary mathematical bases to solve specific problems in his course. In this UC, it is also intended to help in the development of the reasoning capacity, in the structuring of the same and in the critical analysis of results.
• ProgramaProgramme

  Trigonometric Functions Angles and Triangles Trigonometric Relations Trigonometric Functions Derivative of Trigonometric Functions   Integral Calculus Undefined Integral Integration Rules Substitution Integration Integration by Parts Integration of Rational Functions Improper Integrals Applications of Defined Integral   Multiple Integrals Double integrals Applications of double integrals Triple integrals Applications of triple integrals Changing variables in multiple integrals   Differential Equations 1st order differential equations. Linear Equations Exact Equations Separable Equations Second order differential equations   Set theory and logic Representation of sets Relationship of belonging and inclusion of sets Operations on sets: meeting, intersection, difference and complementation Definition and logical value of a proposition Propositional calculation Tables of truth Propositional calculation properties
• ObjectivosObjectives

  A Course of Mathematics II is a component of training, been following the course Mathematics I. The objectives should converge towards the objectives of the degree in Computer Engineering will be achieved. The student will have contact with the theoretical knowledge and its application. The concepts and techniques presented are aimed at developing the capacities of abstraction and logical-deductive reasoning, providing basic tools of analysis necessary mathematical progression of the study.
• BibliografiaBibliography

  Gomes, C. (2025). Material de Apoio à Unidade Curricular de Matemática II. ISLA-Instituto Politécnico de Gestão e Tecnologia. Gomes, Cristina e Gomes, Ricardo, Cálculo Integral em IR: Resumo Teórico, Novas Edições Académicas, 2024 Alzira Faria, Helena Brás, Isabel Figueiredo, "Análise Matemática II: Resumo teórico, exercícios resolvidos e propostos", Editora Sílabo, 2023. Ayres, F. & Mendelson, E. 2000. Cálculo. McGraw-Hill Schaums Easy Outlines. Sarrico,C. (1999). Análise Matemática-leituras e exercícios (3ª ed.). Lisboa: Editora Gradiva. Ferreira, Manuel Alberto M. e Amaral, Isabel, Integrais Múltiplos e Equações Diferenciais, Edições Sílabo Oliveira, Augusto Franco de, Lógica e Aritmética, Trajectos Ciência Gradiva
• 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