Métodos Quantitativos em Engenharia

Code:

EC5195

Acronym:

MQE

Instance: 2006/2007 - 1S

Active?	Yes
Responsible unit:	Mathematics Division
Course/CS Responsible:	Civil Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
LEC	0	Plano de estudos de transição para 2006/07	5	5	5	-
MIEC	1	Plano de estudos de transição para 2006/07	5	-	5	-

Teaching language

Portuguese

Objectives

To transmite solid knowledge for application of quantitative methods at specialization level or at the professional activity
levels, giving the student a set of mathematical tools needed
to deal with some engeneering problems. To educate him
for an easy translation into a mathematical reasoning in the analysis of problems and in an adequate formulation of these.

Program

Numerical resolution of Differential Equations:
1. Ordinary Differential Equations:
Initial Value Problems (P.V.I.); One-step methods;
Multiple-step methos (Adams-Bashforth, Adams-Multon, Predictor-corrector); Runge-Kutta methods; Stability and instability, Stiffness, Gear's method (BDF Backward-Difference-Formulae);
Boundary values problems; Classical methods.
2. Partial Differential Equations: explicit methods;
stability; implicit methods; semi-direct methods.

Statistical techniques:
1. Typology of variables and data organization. Brief notions
of sampling theory. Dealing with different types of data.
2. Monte Carlo simulation. The principles of simulation.
Simulating samples under different kinds of probabilistic lows. Simulation of stochastic systems.
3. Multilinear regression.
4. Time series (tendency, parameter estimation, simulation)
5. Queues.
6. Brief notion of probabilistic fiability.

Teaching methods and learning activities

Subject essentialy supported by learning methods together with practical developpements. The intuitive setlement of notions is encouraged as well as the computational ability.
Subjects are presented during theoretical classes using
case studies and looking for applications in the optional areas of the student.
During other classes the student is tutored in the application of the knowledge he aquired in selected problems.
The use of the software (MATLAB) is encouraged as a working tool, mainly in the execution of the proposed practical projects.

Evaluation Type

Distributed evaluation without final exam

Eligibility for exams

see school regulations

Calculation formula of final grade

see school regulations