Numerical Methods
Keywords |
Classification |
Keyword |
OFICIAL |
Mathematics |
Instance: 2008/2009 - 2S
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.