Cursos / 1º Ciclo / Faculty of Architecture and Arts :: Architecture ( Integrated Master)

Versao Portuguesa

MATEMÁTICA - 2018/2019

1º curricular year
Semestralidade: 1st semester


Leading Teacher: Prof. Doutor Rogério Martins
Assistant Professor: Prof. Doutora Alexandra Chaves

Class type and School hours

Teórico-prática : 4 Horas

Main Aims/Objectives

It is intended to:
-provide students with concepts and mathematical techniques that are essential for the understanding of topics covered in other courses of undergraduate
- Promote the ability to use mathematics effectively to solve "real problems".

Specific Aims/Objectives

It is intended that students acquire the concepts and techniques of elementary calculus of real functions of a real variable.

Skills to be acquired

At the end of the unit the student should be able to:
- Handle real functions of a real variable, including derivation and sketch graphs.

Teaching Procedures

Contents are presented in lectures following a methodology exhibition.
Where necessary texts are available for deeper matters. Practice sheets are provided to the student to solve, assisted during lessons TP.


I. Real functions of a real variable
1. Functions, their graphs and symmetries
2. Limits and continuity
3. The derivative
4. Derivation rules
5. Chain rule
6. Higher order derivatives
7. optimization
8. Sketch graphs
II. trigonometric functions
1. Definition and graphs
2. Equalities most important
3. derivation

Evaluation Type

Continuous assessment is based on two written tests lasting one hour each, provided that the student have an attendance of more than 70%.

Teaching Resources

The teaching resources are the books listed in the bibliography, as well as exercise sheets and texts
These last two features will be available on Moodle.



Main Bibliography

Author Hughes-Hallett; Gleason; Lock; Flath et all
Title Cálculo Aplicado
Edition 4ª edição
Place Rio de Janeiro
Editor LTC - Livros técnicos e Científicos Editora, Ltd
Year 2012
Author Larson,R., Hostetler,R. e Edwards,B
Title Cálculo com Aplicações
Edition 4ª edição
Place Rio de Janeiro
Editor LTC - Livros Técnicos e Científicos Editora, Ltda
Year 2002
Author Lang,S
Title Short Calculus
Edition 1ª edição
Place New York
Editor Springer
Year 2001

Complementary Bibliography

Author J. Campos Ferreira
Title Introdução à Análise Matemática
Edition 3ª edição
Place Porto
Editor Fundação Calouste Gulbenkian
Year 1990
Author Erwin Kreyszig
Title Advanced Engineering Mathematics
Edition 11ª edição
Place Londres
Editor Jonh Wiley and Sons
Year 2011