| Numerical Methods in Engineering | Code: M0.504 Credits: 6 |
Numerical methods play an important role in modern science. The approximation of the surface of an airplane and the aerodynamic simulation of the behavior of the air around it require the use of numerical methods. Many graphics in the world of computer animation are the result of applying these methods in solving a physical model. Interpolation allows to fix the intermediate positions between an initial and a final state of a body, and the movement of its clothing is given as a numerical solution of differential equations. The treatment of the error of the solutions that are generated allows us to differentiate the error of the algorithm, from the error caused by the finite precision of computers. This course introduces the basic numerical methods applied to engineering and science, as well as the analysis of the approach that their solutions imply.
Any subject in the study plan that requires simulation or approximation of mathematical elements may be based on the ideas developed in this subject.
The simulation and numerical approximation required by any research and development activity has its first steps in the methods covered in this subject
Adequate level of English in order to read technical and scientific documentation in this language. Engineering level in mathematics and programming.
Prior knowledge: Adequate level of English in order to read technical and scientific documentation in this language. Engineering level in mathematics and programming.
Planned software: matlab, octave o scilab
- Know the concepts of error, stability and convergence of an algorithm
- Knows how to choose the appropriate algorithm for each situation.
- Knows how to apply the basic numerical techniques that appear in problems
scientific and engineering.
- Knows how to correctly interpret the results obtained with a numerical algorithm.
- Extracts the general meaning of texts that contain non-routine information
within a known scope.
- Use software for online communication: interactive tools (web, moodle,
blogs ..), email, forums, chat, video-conferences, tools
collaborative work
Computer errors and error propagation
Systems of linear equations
Interpolation by polynomials
Numerical differentiation
Numerical integration
Nonlinear equations
Ordinary differential equations
Applied Numerical Methods Using MATLAB. Won Y. Yang y otros . Editorial Wiley (2005).
Most topics will be worked for two weeks. In the first week, the student should study the theoretical part from the notes that will be provided, complemented with the bibliography. The second week will be of practical work, where you will have to solve some exercises or a practice using Matlab or Octave.
The assessment process is based on the student's personal work and presupposes authenticity of authorship and originality of the exercises completed.
Lack of authenticity of authorship or originality of assessment tests, copying or plagiarism, the fraudulent attempt to obtain a better academic result, collusion to copy or concealing or abetting copying, use of unauthorized material or devices during assessment, inter alia, are offences that may lead to serious academic or other sanctions.
Firstly, you will fail the course (D/0) if you commit any of these offences when completing activities defined as assessable in the course plan, including the final tests. Offences considered to be misconduct include, among others, the use of unauthorized material or devices during the tests, such as social media or internet search engines, or the copying of text from external sources (internet, class notes, books, articles, other students' essays or tests, etc.) without including the corresponding reference.
And secondly, the UOC's academic regulations state that any misconduct during assessment, in addition to leading to the student failing the course, may also lead to disciplinary procedures and sanctions.
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In order to pass the course, you must pass the continuous assessment and take a synthesis test. Your final mark for the course will be calculated as follows:
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Final course mark: Continuous assessment + ST
Continuous assessment = 60 %
ST = 40 %
Minimum marks:
ยท ST = 3,5
When the mark obtained in the cumulative test is below the minimums established for each formula, the final mark for the course will be the mark obtained in the cumulative test.
Continuous assessment consists of a four activities (30% + 25% + 25% + 20%) to have the final mark of continuous assessment (CA). Each of these activities concludes the topics discussed.
On this subject the final assessment is the result of weighing the Continuous Assessment (CA) and the Synthesis Test (ST), according to the weighting indicated above.