The complexity of economic phenomena results in its mathematical expression. The main objective of this course is to provide students with some mathematical techniques applicable to the Management and Economics in following topics: Differential and Integral Calculus of a single variable, Matrix algebra, Systems of linear equations and Determinants. As specific objectives, the student will be able to calculate derivatives of functions of one single variable defined implicitly and explicitly and to apply them in locating relative extremes of a function, solving optimization problems and using Cauchy`s rule. In the chapter of integral calculus the student should be able to calculate indefinite and definite integrals by diverse techniques and recognize its application in calculating areas of plane figures. In Linear Algebra the student should be able to solve systems of linear equations, to use basic matrix algebra and to calculate determinants with some applications.
The complexity of economic phenomena leads to the need for their mathematical expression.
The main objective of this subject is to introduce students to some of the mathematical techniques applicable to Management and Economics, on the topics: Differential calculus of real functions of one or more variables and Integral calculus.
As specific objectives, the student is expected to calculate derivatives of functions of a single variable and partial derivatives of real functions of more than one variable, defined explicitly and implicitly, and apply them in locating relative extremes and calculating conditioned extremes, using the Lagrange Multipliers method. You must also calculate limits using Cauchy's Rule.
In the Integral Calculus chapter, the student must calculate indefinite integrals using different methods.
The topics of this course are presented in lectures, using the blackboard and computer presentations. In practical classes, exercises are solved, stimulating the teacher / student interaction.
The course also benefits from the use of learning management platform Moodle available at the University of the Azores, increasing the performance of asynchronous activities.
Jean E.Weber, Matemática para economia e administração; 2ª ed , São Paulo: Harper & Row, 1986
Louis Leithold, Matemática aplicada à economia e administração, São Paulo , Editora Harbra,1988
F. R. Dias Agudo, Introdução à ÁlgebraLinear e Geometria Analítica, 4ª ed, Lisboa, Escolar Ed., 1989
Tom M. Apostol, Cálculo, Barcelona, Editorial Reverté, 2010
J. Stewart, Cálculo, Vol.I, 5ªEd. Thomson, São Paulo, 2005
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