ISLA IPGT 3178

Quantitative Methods I

• ApresentaçãoPresentation

  Quantitative Methods 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

  By the end of this course unit, students should have achieved the following learning objectives: OA1. Identify some functions when presented in algebraic form or in graph form; OA2. Study exponential and logarithmic growth models; OA3. Define and calculate limits; OA4. Analyze the continuity of functions. OA5. Find the derivative of various functions, applying them, whenever possible, to practical situations in their area or related areas; OA6. Analyze the behavior of functions, determining maximum and minimum values and sketching graphs; OA7. Solve optimization problems; OA8. Be able to use the concepts and methods of differential calculus of real functions of a real variable; OA9. Have the capacity for abstraction and critical thinking; OA10. Have the capacity for analysis and autonomy in the use of mathematical techniques, particularly in solving concrete problems.
• BibliografiaBibliography

  Alzira Faria, Helena Brás, Isabel Figueiredo, "Análise Matemática I: Resumo teórico, exercícios resolvidos e propostos", Editora Sílabo, 2021. Budnick, F. S., Applied Mathematics for Business, Economics, and the Social Sciences (4ª ed.). McGraw-Hill, 1993. Howard, A., Cálculo um novo horizonte, Vol. 1 - 10ª edição, São Paulo: Bookman, 2014. Gomes, C., Material de Apoio à Unidade Curricular de Métodos Quantitativos I, ISLA - Instituto Politécnico de Gestão e Tecnologia, 2026
• 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
• AvaliaçãoEvaluation

  1ª Alternativa - Testes Intermédios	Ponderação
  1º Teste	50%
  2º Teste	50%

   

  2ª Alternativa - Teste de Avaliação Global	Ponderação
  	Sem Assiduidade
  Teste de Avaliação Global	100%

  
  Observações:

  Os alunos terão de optar entre a realização dos Testes intermédios ou a realização do Teste de Avaliação Global. Se o aluno tiver nota inferior a 7,5 valores no 1º Teste ou desistir, não pode comparecer ao 2º Teste. A aprovação na avaliação curricular implica nota final não inferior a 9,5 valores. Os alunos não podem ter nota inferior a 7,5 valores em cada um dos testes. Todos os alunos inscritos à unidade curricular podem realizar um exame final caso não tenham realizado ou obtido aprovação na avaliação curricular.