ISMAT 505

Mathematics II

• ApresentaçãoPresentation

  This curricular unit focuses on the fundamental concepts of differential and integral calculus. This unit adresses infinite power series; the Taylor series expansion and the theory and the practice of integration (indefined and defined integration). The contents and the teaching / learning strategies used in this unit promote the development of skills to better understand and develop IT engineering projects.
• ProgramaProgramme

  S1. Differential theory S2 .Introduction to infinite series S3. Taylor series expansion S4. Theory and practice of indefinite integration S5. Theory and practice of defined integration
• ObjectivosObjectives

  At the end of this unit students must be able to: LO1. Apply the concepts of diferential theory and use them to solve problems in these domains. LO2. Apply the concepts and the elementary operations over infinite power series; LO3. Formulate and to solve problems using Taylor's serial expansion; LO4. Apply the concepts of indefinite integration and use them to solve problems in these domains; LO5. Apply the concepts of defined integration and use them to solve problems in these domains
• BibliografiaBibliography

  T. M. Apostol, Cálculo, 1º vol.,2ª ed., Reverté, 1988. Piskounov, N, Cálculo diferencial e integral, Edições Lopes da Silva, 1997. J. C. Ferreira, Introdução À Análise Matemática, 12ª ed., F. C. Gulbenkian, 2018. Exercícios de Análise Matemática I e II, 3ª ed., Departamento de Matemática, IST Press, 2010.  
• MetodologiaMethodology

  Expository, demonstrative methods and active methodologies aimed at problem solving are used
• LínguaLanguage

  Português
• TipoType

  Semestral
• ECTS

  6
• NaturezaNature

  Mandatory
• EstágioInternship

  Não