Numerical Methods

Code:

EIC0021

Acronym:

MNUM

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2006/2007 - 2S

Active?	Yes
Web Page:	http://moodle.fe.up.pt/course/view.php?id=461
Responsible unit:	Mining Engineering Department
Course/CS Responsible:	Master in Informatics and Computing Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
LEIC	0	Plano de estudos de transição para 2006/07	2	-	5	56	135
MIEIC	121	Syllabus since 2006/2007	2	-	5	56	135
		Plano de estudos de transição para 2006/07	2	-	5	56	135

Teaching language

Portuguese

Objectives

The course aims at providing the student with solid numerical methods foundations. It is topic oriented, covering error analysis, algebraic and differential equation and systems solving, definite integration, non-linear optimization and curve fitting.
The student should be able to:
- identify numerical problems, choosing and implementing the right solution method, after doing numerical experimentation;
- understand numerical methods in the context of engineering, working on examples from engineering practice;
- criticise results, from the methodological, implementation and problem context points of view.

Program

- Number representation;
- Error analysis;
- Roots of equations;
- Systems of non linear equations;
- Systems of linear equations;
- Numerical integration;
- Ordinary Differential equations;
- Single and multi-variable unconstrained optimization;
- Curve fitting;
- Polinomial interpolation.

Mandatory literature

Madureira, C.; Soeiro de Carvalho, J.; Vila,C; “Análise Numérica um curso para a Licenciatura em Engenharia Informática e de Computadores da FEUP”,, 2003

Complementary Bibliography

Chapra, Steven C.; Numerical Methods for Engineers. ISBN: 0-07-079984-9
Conte, S. D.; Elementary numerical analysis. ISBN: 0-07-012447-7
Dahlquist, Germund; Numerical Methods. ISBN: 0-13-627315-7

Teaching methods and learning activities

Classes are computer based, using packages like Maxima, MatLab and Excel. As an extra work, students implement computer solutions with their choice programming language.

Software

Maxima
Matlab 6 R12.1
Folha de cálculo
Linguagem de programação

keywords

Physical sciences > Mathematics > Applied mathematics > Numerical analysis

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Subject Classes	Participação presencial	56,00
Group assignment	Trabalho escrito	14,00
First assesment test	Exame	1,00		2008-03-21
Second assesment test	Exame	1,00		2007-05-02
Third assesment test	Exame	1,00		2007-05-30
	Total:	-	0,00

Amount of time allocated to each course unit

Description	Type	Time (hours)	End date
Self study	Estudo autónomo	42
Assesment test preparation	Estudo autónomo	15
	Total:	57,00

Eligibility for exams

Students do three assesment tests and a group assignment.
They must also comply with the school rules.

Calculation formula of final grade

The final grade is
N = 0.2*T1 + 0.25*T2 + 0.3 * T3 + 0.25 *TG
NF=k*N , 0.9 ≤ k ≤ 1.1

Examinations or Special Assignments

Group assignement

Special assessment (TE, DA, ...)

Special students can either make normal evaluation or do a global examination.

Classification improvement

Special global examination.