ISLA IPGT 3458
Quantitative Methods II
Business Management
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ApresentaçãoPresentationThis Curricular Unit (UC), the basic subject of the Business Management, 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.
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ProgramaProgrammeFunctions with more than one variable Partial Derivatives of 1st and 2nd order Optimization of Functions with more than one variable Conditional Optimization and Lagrange Multipliers Integral Calculus in IR Functions with more than one variable Partial Derivatives of 1st and 2nd order The Indefinite Integral Rules of Integration Integration by Substitution Integration by Parts Integration of Rational Functions The Fundamental Theorem of Calculus Properties of the Definite Integral Double Integral First-Order Differential Equations Separable Equations Exact Equations Homogeneous Equations Matrices and Determinants Operations with Matrices Square Matrices Gauss-Jordan Elimination Inverse Matrix Determinants of 2nd order and 3rd order Sarrus´s Rule Laplace Theorem Cramer Systems Linear Programming. Simplex Method Introduction Graphical Resolution Simplex Algorithm Special Cases Method M-Great and Method of Two Phases
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ObjectivosObjectivesThe curricular unit of Quantitative Methods II is a component of training, been following the curricular unit Quantitative Methods I. The objectives should converge towards the objectives of the degree in Business Management are 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 and to provide students with knowledge of matrix calculus that will enable the resolution of problems and a set of techniques and methods in the field of operational research to facilitate decision making.
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BibliografiaBibliographyGomes, C. (2025). Material de Apoio à Unidade Curricular de Métodos Quantitativos II. ISLA-Instituto Politécnico de Gestão e Tecnologia. Gomes, Cristina e Gomes, Ricardo, Cálculo Integral em IR: Resumo Teórico, Novas Edições Académicas, 2024 Ayres, F. & Mendelson, E. 2000. Cálculo. McGraw-Hill Schaums Easy Outlines. Sarrico,C. (1999). Análise Matemática-leituras e exercícios (3ª ed.). Lisboa: Editora Gradiva. Budnick, F. S. (1993). Applied Mathematics for Business, Economics, and the Social Sciences (4ª ed.). McGraw-Hill. Corrêa, P. S. Q. (2006). Álgebra Linear e Geometria Analítica. Rio de Janeiro: Interciência. Hill, Manuela Magalhães e Santos, Mariana Marques dos, Investigação Operacional, Edições Sílabo
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MetodologiaMethodologyUse 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 and motivate the students to contribute with their own learning, awakening curiosity and proactivity. Intensify the understanding of the use of descriptive statistics in scientific studies, thus demonstrating the presence of this content in several academic publications. 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.
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LínguaLanguagePortuguês
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TipoTypeSemestral
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ECTS6
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NaturezaNatureMandatory
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EstágioInternshipNão