Numerical Methods
Keywords |
Classification |
Keyword |
OFICIAL |
Mathematics |
Instance: 2007/2008 - 2S
Cycles of Study/Courses
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
Folha de cálculo
Linguagem de programação
Maxima
Matlab 6 R12.1
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 |
|
|
Assessment preparation group work |
Teste |
24,00 |
|
|
Exam |
Exame |
3,00 |
|
|
|
Total: |
- |
0,00 |
|
Amount of time allocated to each course unit
Description |
Type |
Time (hours) |
End date |
Self study |
Estudo autónomo |
30 |
|
Exam preparation |
Estudo autónomo |
20 |
|
|
Total: |
50,00 |
|
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.