IPLUSO 1

Mathematics I

• ApresentaçãoPresentation

  The class of Matemática I furnishes the tools needed to develop the quantitative techniques needed for intervention areas, relevance of the whole duration of the course as well as in the future professional life.
• ProgramaProgramme

  1. Matrices Definition; Matrix algebra; linear independence; rank of a matrix; application to systems of linear equations; matrix inversion. 2. Determinants Definition; Theorem of Laplace; Adjunct matrix and inverse; Cramer's rule. 3. Exponential and logarithm functions Inverse functions; exponential function; logarithm function; Applications to Economics. 4. Limits and continuity Definition; calculating limits; continuity 5. Derivatives Definition and derivation rules; diferentials; derivative of the implicit function; relative extrema; Hôpital's rule; applications to Economics.
• ObjectivosObjectives

  Students will gain a set of theotical and practical capacities that will allow them to understand and undertake research projects in Economics, Management and Accountacy, with an emphasis on the mathematics of Real Calculus and Linear Algebra.
• BibliografiaBibliography

  Sydsaeter K., Hammond P. e Strom, A (2016), Essential Mathematics for Economic Analysis; Prentice Hall. Jacques, I. (2015), Mathematics for Economics and Business; Prentice Hall. Ferreira M. A. M. e Amaral I. (2008), Matemática - Algebra Linear 1º Vol.; Edições Sílabo. Larson R., Hosteller R.P. e Edwards B.H. (2006), Cálculo - Vol. 1 ; McGraw-Hill. Chiang A. (1982), Matemática para Economistas; McGraw-Hill. Flemming D. M. e Gonçalves M. B. (1992), Cálculo A : funções, limite, derivação, integração; Ed. Makron Books, 5ª ed.  
• MetodologiaMethodology

  Availability of resolution of exercises on video
• LínguaLanguage

  Português
• TipoType

  Semestral
• ECTS

  6
• NaturezaNature

  Mandatory
• EstágioInternship

  Não