Description
This course is devoted to provide direct engineering mathematical application tools. We give elementary techniques for numerical analysis.
Type Subject
Optativa
Semester
Second
Credits
5.00
Previous Knowledge

Previous knowledge on multiple variable analysis and elementary numerical analysis is assumed.

Objectives

Students are expected to acquire and develop the following habilities:
1. Basic general knowledge on the subject.
2. Capacity to analyse specific problems and synthesise acquired knowledge.
3. Specific problem solving.
4. Team work.
5. Capacity to apply knowledge on practical situation.
6. Capacity to learn and broaden knowledge.
7. Ability to work autonomously.

Contents

1. Numerical errors
2. Interpolation
3. Function aproximation
4. Numerical integration
5. Solving ordinary differential equations
6. Optimisation methods.

Methodology

The basic teaching method is through traditonal classroom lessons where the theoretical fundamentals are developed and a few examples given.

A problem collection, including solved and unsolved exercises, is available to complete the class material. Many examples and problems are presented as real problems in electrical engineering. In this way, students face real situations and learn how to link the theoretical fundamentals to specific problems fulfilling so objective 7.

A homework problem, consisting in one real electrical engineering problem, is assigned. This problem is to be solved by applying the theoretical fundamentals given in class, as well as some recommended self study topics. Homework can be done in group (fulfilling objectives 4, 5 and 6) though an individual paper with limited extension must be presented for the exam.

Tutorial session, on homework, subject study or carreer, are offered.

Students following the semi-presential path get their classroom lessons from the digital session of the study guide in the virtual campus, as well as in presential meetings for tutoring and doubts. Students participate in class through forums in the virtual campus.

Evaluation

Evaluation methods are the following:

A. Exams
C. Quizzes
D. Homework
J. Classroom participation

Each exam contains

A. A theory question (2 points)
B. A question on the homework problem (2 points)
C. An 8 question quizz with 4 possible answers (4 points)
D. A problem, posed as a real electrical engineering problem (2 points)

Class participation is used to upper round students marks.

Evaluation Criteria

-Objective 1 is evaluated using all four methods, [A,C,D,J].
-Objective 2 is evaluated through the answer form of the theory question and the homework paper [A,D].
-Objective 3 is evaluated throught the exam problem and the homework results [A,D].

Basic Bibliography

G.M.Phillips, P.J.Taylor, Theory and Applications of Numerical Analysis, Academic Press (1996).

Additional Material

A. W.H.Press et. al., Numerical Recipes in C, Cambridge University Press.
B. A.Aubanell, A.Benseny, A. A.Delshams, Eines bàsiques de càlcul numèric, Manuals de la UAB (1991).
C. C.Bonet, et al., Càlcul numèric, Edicions UPC (1996).
D. R.L.Burden, J.D.Faires, Anàlisis Numèrico Grup editorial Iberoamericana (1985).
E. C.Früberg, Introducción al análisis numérico, Vicens Universidad (1977).
F. D.Kincaid, W.Cheney, Análisis numérico Addison-Wesley Iberoamericana (1994).
G. G.Dahlquist, Numerical methods Prentice-Hall (1974).