Numerical Methods

Code:

EIC0021

Acronym:

MNUM

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2008/2009 - 2S

Active?	Yes
Web Page:	http://moodle.fe.up.pt/0809/course/view.php?id=1123
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
MIEIC	155	Syllabus since 2006/2007	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
Chapra, Steven; Canale, Raymond; Métodos Numéricos para Engenharia, McGraw-Hill, 2008. ISBN: 978-85-86804-87-8

Complementary Bibliography

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

Linguagem de Programação
The Mathworks - Matlab - Release 11.1
Folha de Cálculo
Maxima

keywords

Physical sciences > Mathematics > Applied mathematics > Engineering mathematics
Physical sciences > Mathematics > Applied mathematics > Numerical analysis

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	52,00
1st assessment test	Exame	1,00		2009-04-01
2nd assessment test	Exame	1,00		2009-05-20
1st call	Exame	2,00
2nd call	Exame	2,00
Homework	Trabalho escrito	14,00
	Total:	-	0,00

Amount of time allocated to each course unit

Description	Type	Time (hours)	End date
Autonomous Study	Estudo autónomo	70
Exam preparation	Estudo autónomo	25
	Total:	95,00

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

Students do two assessment tests (T1, T2), several homework problems (D) and one or two exams (N1, NR).
The frequency grade is

NF = k*(0.1 * D + 0.45 * T1+ 0.45 * T2)
k – performance factor in class (teacher's discretion); 0.9 ≤ k ≤ 1.1
Should NF exceed 100%, it will be truncated to that value.

Final grade is
N1 = 0.4* NF +0.6*NE

Where N1 – final grade; NF – frequency grade; NE – first call grade.

Students who don't achieve passing grade, have a 2nd call, whose grade will be final.

Grades over 18/20 will be subject to oral discussion.

Special assessment (TE, DA, ...)

Special students can either make normal evaluation or do a global exam, in special dates.

Classification improvement

Special global examination, simultaneous with 2nd call.