Matemática II

Differential calculus in IR

In this curricular unit, the following teaching methodologies are used: 1) Verbal Methodologies (say), making use of pedagogical resources: Exposition, Explanation, Dialogue and Interrogation; 2) Intuitive Methodologies (show), making use of pedagogical resources: Demonstration, Audiovisual and Written Texts;

1.deepen and expand their knowledge of real functions of real variables, in particular, that dominate the methods of primitives in IR, and that understand, graphically and analytically, the concept of definite integral and improper integral. 2. solve first-order ordinary differential equations and second-order linear equations with constant coefficients. 3. master the calculus with functions of several variables, namely the calculus of limits, partial derivatives and the study of extremes. 4. know the main numerical methods for approximating functions, for performing numerical derivation and integration, and for solving ordinary differential equations.

1.Integration and applications. 2. Differential Equations. 3. Functions of several variables and optimization. 4. Introduction to Numerical Methods.

• - Frequency - 90.0%
• - Mini Tests - 10.0%

• - Exam - 100.0%

NAO

James, G., Modern Engineering Mathematics, 5th Ed,P earson Higher Ed, 2015

Kreyszig, E., Advanced Engineering Mathematics, John Wiley & Sons, 9th Ed, 2006

Lima, E. L., Análise no Espaço lR^n, Matemática Universitária, Instituto Nacional de Matemática Pura e Aplicada, 2004

Lima, E.L., Análise Real – volume 2, Matemática Universitária, Instituto Nacional de Matemática Pura e Aplicada, 2007.

Stewart, J., Cálculo, Vol. 2, 7ª Ed., Cenage Learning, 2013

Campos Ferreira, J., Introdução à Análise Matemática, Ed. Fundação Calouste Gulbenkian, Lisboa, 1990. Figueiredo, D. G., Neves, A.F., Equações Diferenciais Aplicadas, Colecção Matemática Universitária, Instituto Nacional de Matemática Pura e Aplicada, 2007