﻿ Mathematical Analysis I - Engenharia MecânicaInstituto Politécnico de Tomar

# IPT

Ano Letivo: 2013/14

# Engenharia Mecânica

## Mathematical Analysis I

Publication in the Diário da República: Despacho nº 1469/2007

6 ECTS; 1º Ano, 1º Semestre, 30,0 T + 30,0 TP + 4,50 OT , Cód. 912302.

Lecturer
- Maria Helena Morgado Monteiro (2)

(1) Docente Responsável
(2) Docente que lecciona

Prerequisites
High-school level mathematics.

Objectives
The students should learn how to interpret data, formulate and resolve problems connected with differential calculus and integral calculus of one real variable functions.

Program
1.Real functions.
2.Differential calculus - definition, differentiation formulas, derivatives and its application (related rates, extreme values, extremum problems, graph of a function).
3.Integral calculus - indefinite integral, definite integral (calculation of an area of a region between two graphs, volume of a solid of revolution and length of a plane curve), improper integral.

Evaluation Methodology
Mid-term assessment: two mini-tests (0-3 points)and two tests (0-17 points, with a minimum of 7 points);
Final assessment: written exam (0-20 points).
Students will pass if they obtain a minimum grade of 10 points (out of a 0-20 scale).

Bibliography
- Anton, H. (2000). Cálculo, um novo horizonte. (Vol. I). Porto Alegre: Bookman
- Edwards, B. e Hostetler, R. e Larson, R. (2006). Cálculo. (Vol. I). São Paulo: McGraw-Hill
- Monteiro, H. (2014). Apontamentos de Análise Matemática I. (Vol. ). (pp. - ). Abrantes: ESTA
- Stewart, J. (2002). Cálculo. (Vol. I). São Paulo: Pioneira Thomson Learning

Teaching Method
Presentation of theoretical contents followed by exercise solving under the teacher's supervision.

Software used in class