### Cálculo III - Engenharia Civil - Sem Ramos - Especialidades

7.5
ECTS / Credit Units
 Year: 2 / 1º Semestre Plan: 2012/13 Scientific Area: MAT Level: Intermédio

### Semestral Hour Load

 Theorical: 48.00 Theorical-Pratical: 32.00 Pratical and Laboratorial: Fieldwork: Seminar: Internship: Tutorial:
 Assigned Internship Hours: Assigned Projects Hours: Assigned Fieldwork Hours: Assigned Study Hours: Assigned Evaluation Hours: Others:

### Degree having this Course

Degree - Branch Degree Plan Year
Engenharia Electrónica e Telecomunicações - Sem Ramos - Especialidades 2014/15
Engenharia Civil - Sem Ramos - Especialidades 2012/13

### Teaching Staff

Nelli Aleksandrova

Responsibilities:
Regência
Responsável pelas Pautas
Ensino teórico
Ensino teórico-prático

## Course Information

### Course Objectivs

1 Stimulate and develop thinking skills, rigor, deduction and abstraction. Provide students with the basic calculation techniques to be used as tools in mathematical disciplines later.

2 Study the fundamentals of the theory of series to several real variables, with corresponding applications to real world problems appropriate to the various areas of knowledge.

3 Studying the foundations of the theory of differential equations and the corresponding applications to real world problems appropriate to the various areas of knowledge.

4 Generalize the results of real analysis to complex space, in particular the concepts of limit, continuity, differentiability and integrability.

### Evaluation Criteria

Classification Type: Quantitative (0-20)
Evaluation Model: A
Evaluation Methodology: Held two frequencies (tests) to solve individually during the regular season. Thus, the student may evaluate their performance and change strategies if necessary. In the complimenatary season - the complete exam. The importance of this examination, beyond the objectives of evaluation focuses on students' ability to relate different parts of the subject.

### Main Bibliography

Barreira, L. (2009). Análise Complexa e Equações Diferenciais. IST Press.
Boyce, W. E. and DiPrima, R. C. (1992). Elementary Differential Equations and Boundary Value Problems, 5th Edition. Jonh Wiley & Sons.
Campos Ferreira, J. (1993). Introdução à Análise Matemática, 4ª Edição. Ed. Fundação Calouste Gulbenkian.
Braun, M. (1993). Differential Equations and Their Applications. Springer.
Hoffman, M. J. and Marsden, J. E. (1987). Basic Complex Analysis. W. H. Freeman and Company.
Rudin, W. (1976). Principles of Mathematical Analysis. McGraw-Hill.
Tiernet, J. A. (1989). Differential Equations. Wm. C. Brown Publishers.
Wylie, I. C. R. and Barrett, L. C. (1982). Advanced Engineering Mathematics, 5th Ed.. McGraw-Hill International Editions.

### Other Biographical Sources / Support Documents

Rudin, W. (1974). Real and Complex Analysis, 2nd edition. McGraw-Hill Book Company.