|
|||||
View general information Description The subject within the syllabus as a whole Professional fields to which it applies Prior knowledge Information prior to enrolment Learning objectives and results Content View the UOC learning resources used in the subject Additional information on bibliography and information sources Methodology Guidelines on assessment at the UOC View assessment model Continuous assessment Final assessment | |||||
This is the course plan for the first semester of the academic year 2024/2025. To check whether the course is being run this semester, go to the Virtual Campus section More UOC / The University / Programmes of study section on Campus. Once teaching starts, you'll be able to find it in the classroom. The course plan may be subject to change. | |||||
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 |
|||||
|
|||||
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 |
|||||
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. The UOC reserves the right to request that students identify themselves and/or provide evidence of the authorship of their work, throughout the assessment process, and by the means the UOC specifies (synchronous or asynchronous). For this purpose, the UOC may require students to use a microphone, webcam or other devices during the assessment process, and to make sure that they are working correctly. The checking of students' knowledge to verify authorship of their work will under no circumstances constitute a second assessment. |
|||||
Weighting of marks
Option to pass the course: Continuous assessment + Pr
Final course mark = Continuous Final (FC)= Continuous assessment+Pr Continuous assessment = 70% Pr = 30% Minimum marks: · Pr = 4 · Continuous assessment = 5 If the Pr mark is below the minimum required, the mark obtained from the formula will either be the same as the Pr mark or in other cases it may be determined by the assessment model. |
|||||
Continuous assessment consists of three practices (30% + 40% + 30%) 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 a Final Practice (Pr), according to the weighting indicated above. |