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IPLUSO 505

Mathematics II

Business Management
  • ApresentaçãoPresentation
    Mathematics II belongs to the compulsory group of curricular units of the cycle of studies and seeks to provide students with fundamental knowledge of mathematics, complementary to those given by the previous course units Algebra and Mathematics I, of the first semester. The course focuses on the themes of integral calculus and differential equations
  • ProgramaProgramme
    Average Rate of Change: Concept and Calculation Rate of Change: Concept and Calculation Physical and Geometric Interpretation of the Rate of Change of a Function Physical Interpretation of the Rate of Change Geometric Interpretation of the Rate of Change Derivative Function: Derivatives of Certain Functions The Derivative of a Function and the Graphing Calculator Calculation of Immediate Antiderivatives Optimization Problems Sign of the Derivative in the Study of Monotonicity and Extrema of Functions The Derivative and the Extrema of a Function Optimization Problems Linear Programming Planar Domains Lines Parallel to the Coordinate Axes Non-Vertical Lines Relative Position of Two Lines Intersection of Lines Half-Planes Intersection of Half-Planes Systems of Linear Inequalities with Two Variables Linear Programming
  • ObjectivosObjectives
    A. Learn the concepts of mathematics-based applications in various areas of knowledge and support for other courses accounting and administration.  B. Ability to make and investigate mathematical modelling with using the use of technology. C. Ability to do and investigate mathematics using modelling using technologies. D. Ability to elaborate, analyse and describe models for real phenomena using functions already studied. E. Ability to recognize optimal models for each situation on the models and ability to make good decisions. F. Ability to communicate orally and in writing the problematic situations and their results
  • BibliografiaBibliography
    Bandeira et al. (2016) Introdução à Matemática - Álgebra, Análise e Otimização. Lidel. Cabral, I., Perdigão, C., Saiago, C. (2010). Álgebra Linear: Teoria, Exercícios resolvidos e Exercícios propostos com soluções. Lisboa: Escolar Ed. Giraldes, E., Fernandes, V., Smith. M. (1995). Curso de álgebra linear e geometria analítica. Lisboa: McGraw-Hill. Harshbarger, R., Reynolds, J. (2012). Mathematical Applications for the Management, Life, and Social Sciences, 10th ed. Brooks Cole. Hill, M., Santos, M. (2009). Investigação Operacional Vol. 1 Programação Linear. Lisboa: Ed. Sílabo. Pires, C. (2010). Cálculo para Economia e Gestão. Lisboa: Escolar Editora.
  • MetodologiaMethodology
      The course includes theoretical-practical classes presenting the program content, complemented by the solving and discussion of practical exercises. The final grade is a weighted average of two assessment components: i) Two assessment moments valued at 45% + 45%, each; ii) Participation and attendance, worth 5% of the final grade. The weighted average of the components, rounded to the nearest whole number, must be at least 10 points. FINAL EXAM: If the student opts out of continuous assessment, they will be required to take a final exam.
  • LínguaLanguage
    Português
  • TipoType
    Semestral
  • ECTS
    6
  • NaturezaNature
    Mandatory
  • EstágioInternship
    Não