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Engenharia Mecânica

Mathematical Analysis III

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Publication in the Diário da República: Despacho nº 14312/2015 - 02/12/2015

5 ECTS; 2º Ano, 1º Semestre, 30,0 T + 30,0 TP + 4,50 OT , Cód. 912313.

Lecturer
- Maria Helena Morgado Monteiro (1)(2)

(1) Docente Responsável
(2) Docente que lecciona

Prerequisites
Not applicable.

Objectives
Extend students' knowledge about the differential and integral calculus so they can formulate, analyze and solve problems which are related to:
a) The effect of vector fields in the movement of particles.
b) The behavior of physical phenomena when their variation rates and restrictions are known.

Program
1. Vectorial calculus - vectorial functions, line integrals, surface integrals;
2.Differential equations - first-order differential equations and linear differential equations of order n, Laplace?s transform, linear differential equations systems.

Evaluation Methodology
Ongoing assessment: two written tests (0-9) with minimum mark of 2; presentation in class of two exercises solved (0-1).
Exam assessment: a written test (0-20).
Minimum mark to pass the exam is 10. Pass mark for ongoing assessment is the sum of the tests with the presentations and must total 10.

Bibliography
- Larson, R. e Hostetler, R. e Edwards, B. (2006). Cálculo. (Vol. II). São Paulo: McGraw-Hill
- Monteiro, H. (2020). Apontamentos de Análise Matemática III. Abrantes: ESTA
- Mora, W. (2019). Cálculo en Varias Variables, Visualización interactiva. Costa Rica: Escuela de Matemática, Instituto Tecnológico de Costa Rica
- Ramos, M. (2011). Curso Elementar de Equações Diferenciais - Textos de Matemática. (Vol. 14). Lisboa: Departamento de Matemática da Faculdade de Ciências da Universidade de Lisboa
- Stewart, J. (2012). Calculus. Belmont, USA: Cengage Learning
- Zill, D. (2001). Equações Diferenciais. (Vol. I). São Paulo: Makron Books

Teaching Method
Lectures.
Worksheets solved in class under the teacher's supervision.

Software used in class
Not applicable.

 

 

 


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