### Matemática II para a Economia - Economia - Sem Ramos - Especialidades

6.0
ECTS / Credit Units
 Year: 1 / 2º Semestre Plan: 2015/16 Scientific Area: MAT Level: L1

 Theorical: 32.00 Theorical-Pratical: 48.00 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
Economia - Sem Ramos - Especialidades 2015/16

### Teaching Staff

Rafael Domingos Garanito Luís

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

## Course Information

### Course Objectivs

1 Calculate integrals of real functions of a real variable ,using anti derivation , the method of integration by parts , the variable change method , the simplification of rational functions, the simplification of trigonometric functions. Know how to calculate areas using the concept of integral. Know how to solve improper integrals and study their convergence..

2 To identify and solve various types of ordinary differential equations by variable separation methods , change of variable , variation of parameters , selection method to determine a particular solution .

3 Know how to solve linear differential 1st order equations.

4 Know how to solve some basic types of partial differential equations . Know how to use the method of separate functions.

### Evaluation Criteria

Classification Type: Quantitative (0-20)
Evaluation Methodology: Lectures, Problem solving and discussion sessions and presentation problems. Exercises. Study, research, problem solving. Two frequencies and a resource examination where the student can make an overall examination or just the part corresponding to one of the frequencies. There will not be minimum to achieve in each partial evaluation, but students will be encouraged by teachers to develop a study throughout the semester. Every week, the student attendance to answer questions, will be equal to half hours of weekly contact.

### Program Resume (get program detail)

1.  Constrained optimization****
2.  Primitives of real functions.
3.  Ordinary differential equations.
4.  Partial differential equations.

### Main Bibliography

Piskounov N. (1977). Cálculo Diferencial e Integral. Lopes da Silva.
Apostol Tom M. (1983). Cálculo. Reverté Ltda.
Boyce, W. E. and DiPrima, R. C. (1992). Elementary Differential Equations and Boundary Value Problems, 5th Edition. Jonh Wiley & Sons.
Braun, M. (1993). Differential Equations and Their Applications. Springer.
Tiernet, J. A. (1989). Differential Equations. Wm. C. Brown Publishers.
Phoebus J. Dhrymes (2013). Mathematics for Econometrics Phoebus J. Dhrymes Fourth Edition. Springer.

### Student Support

Wednesday, from 2 p.m. to 4:30pm, office number 2.110.