Numerical Methods

Code:

L.EEC014

Acronym:

MN

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2022/2023 - 1S

Active?	Yes
Responsible unit:	Department of Electrical and Computer Engineering
Course/CS Responsible:	Bachelor in Electrical and Computer Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L.EEC	256	Syllabus	2	-	4,5	39	121,5

Teaching language

Portuguese
Obs.: As aulas teóricas decorrerão em 2 turnos, por indisponibilidade de salas com capacidade para todos os estudantes. 10 turmas TP

Objectives

Provide a comprehensive range of fundamental knowledge in numerical methods.
To provide students with the ability to carefully apply numerical methods to solve engineering problems, which requires an understanding of the fundamentals of the methods and knowledge of how to apply the methods using computational applications.

By the end of this course, students will have acquired a solid base of technical knowledge in the field of numerical methods. They will have developed the ability, given a situation, to know how to choose the method(s) to be applied and how to adapt to the problem in question, using the various tools studied during the semester, including determining the estimates of the associated errors and conditions of stopping iterative methods to obtain the imposed precision.

Learning outcomes and competences

After attending this course the student will have acquired a solid technical base of numerical methods. Developed will be the capacity of, given a specific situation, knowing which method(s) to apply and how to adapt the various tools, studied during the semester, to the problem at hand, including knowing the number of iterations needed to achieve a pre-established precision.

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

Algebra and Calculus 1 and 2

Program

1. Absolute error and relative error. Error propagation. Truncation error in infinite series.

2. Iterative methods for nonlinear equations.

3. Iterative methods for systems of nonlinear equations.

4. Direct and iterative methods for systems of linear equations.

5. Function approximation: least squares.

6. Poliynomial interpolation.

8. Numerical integration.

9. Numerical integration of differential equations and systems of differential equations

Mandatory literature

A. Matos; Apontamentos de Análise Numérica, 2005

Complementary Bibliography

W. Cheney, R. Kincaid; Numerical Mathematics and Computing, Brooks Cole
Burden, Richard L.; Numerical analysis. ISBN: 0-53491-585-X
Conte, S. D.; Elementary numerical analysis. ISBN: 0-07-012447-7
Young, T., & Mohlenkamp, M. J.; Introduction to numerical methods and Matlab programming for engineers. (http://www.ohiouniversityfaculty.com/youngt/IntNumMeth/book.pdf)

Teaching methods and learning activities

Theoretical lessons (T): Explanation of the programmatic themes illustrated by examples that allow to clarify the concepts and results presented. Proposal of a list of problems to be solved before the theoretical-practical classes.

Theoretical-practical classes: Discussion of any questions the students may have had while solving  problems from the list proposed at T- classes. This includes discssion of codes used. Numerical methods will be implemented computationally with rare exceptions. Computational tools used during all the semester: Matlabor Octave and Excel. 

Evaluation will require the use of such computational tools.

Software

Octave
Excel
Matlab

keywords

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

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Designation	Weight (%)
Exame	70,00
Teste	30,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	82,50
Frequência das aulas	39,00
Total:	121,50

Eligibility for exams

Students enrolled  for the 1st time in the course:To be entotled to  access to the final examination the student must not exceed the maximum allowed number of absences to the TP classes  

Students with previous enrollment in the course are exempt from attending the  TP  classes and should NOT register in any TP class . However, any marks obtained in previous years are not considered this year.

Calculation formula of final grade

The final grade (N) will be based on the grade obtained in the semester one test (T1) and in the final exam (E):
N = max(E, 0.3 * T1 + 0.7 * E).
A global minimum of 9.5 has to be obtained.
The different component grades are on a 0 to 20 scale.

Examinations or Special Assignments

See Special Evaluation.

Internship work/project

None

Special assessment (TE, DA, ...)

A student who enjoys a special status is allowed to any of the tests or  may choose to take only  the final exam.

 

Classification improvement

Per written exam, as established by the program rules.

Observations

Student consulting hours:
Consult the respective teacher homepage. NOTE: Please send an email to make the appointment, particularly if it is for a time outside the published hours.