Mathematical Analysis III

Mechanical Engineering, 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

- Maria Helena Morgado Monteiro

Mathematical Analysis I and Mathematical Analysis II.

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.

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
Mid-term assessment: two tests (0-20 points, with a minimum of 5 points);
Final assessment: written exam (0-20 points).
Students pass if they obtain a minimum grade of 10 points (out of a 0-20 scale).

- Monteiro, H. (2019). Apontamentos de Análise Matemática III. Abrantes: ESTA
- Stewart, J. (2012). Calculus. Belmont, USA: Cengage Learning
- Zill, D. (2001). Equações Diferenciais. (Vol. I). São Paulo: Makron Books
- Larson, R. e Hostetler, R. e Edwards, B. (2006). Cálculo. (Vol. II). São Paulo: McGraw-Hill
- 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

Method of interaction
Worksheets solved in class under the teacher's supervision.

Software used in class
Not applicable.