Educational guide
IDENTIFYING DATA 2024_25
Subject NUMERICAL METHODS IN MECHANICAL ENGINEERING Code 00708016
Study programme
0708 - GRADO EN INGENIERÍA MECÁNICA
Descriptors Credit. Type Year Period
6 Compulsory Second Second
Language
Castellano
Ingles
Prerequisites
Department MATEMATICAS
Coordinador
GARCÍA FERNÁNDEZ , ROSA MARTA
E-mail rmgarf@unileon.es
emmazn@unileon.es
Lecturers
GARCÍA FERNÁNDEZ , ROSA MARTA
MAZCUÑÁN NAVARRO , EVA MARÍA
Web http://
General description
Tribunales de Revisión
Tribunal titular
Cargo Departamento Profesor
Presidente MATEMATICAS GOMEZ PEREZ , JAVIER
Secretario MATEMATICAS ARANA SUAREZ , MARIA VICTORIA
Vocal QUIROS CARRETERO , ALICIA
Tribunal suplente
Cargo Departamento Profesor
Presidente MATEMATICAS SUSPERREGUI LESACA , JULIAN JOSE
Secretario MATEMATICAS SAEZ SCHWEDT , ANDRES
Vocal MATEMATICAS VEGA CASIELLES , SUSANA

Competencias
Code  
A18145
B5634
B5635
B5643
B5644
B5646
C1 CMECES1 That students have demonstrated possession and understanding of knowledge in an area of study that is based on general secondary education, and is usually found at a level that, although supported by advanced textbooks, also includes some aspects that involve knowledge from the cutting edge of their field of study
C2 CMECES2 That students know how to apply their knowledge to their work or vocation in a professional manner and possess the skills that are usually demonstrated through the development and defense of arguments and the resolution of problems within their area of study.
C4 CMECES4 That students can transmit information, ideas, problems and solutions to both a specialised and non-specialised audience
C5 CMECES5 That students have developed those learning skills necessary to undertake further studies with a high degree of autonomy

Learning aims
Competences
A18145
B5634
B5635
B5643
B5644
B5646
C1
C2
C4
C5

Contents
Topic Sub-topic
Block A: Fundamentals of Numerical Calculus Topic 1 - Introduction to Numerical Calculus
1.1 Introduction to approximate problem-solving.
1.2 Initiation to the study of error.
1.3 Norms.
1.4 Use of Computational Tools.

Topic 2 - Numerical Solution of Linear Equation Systems
2.1 Conditioning of systems.
2.2 Direct methods.
2.3 Iterative methods.
2.4 Applications.

Topic 3 - Numerical Solution of Differential Equations
3.1 Numerical solving methods for ordinary differential equations: initial value problems and boundary value problems.
3.2 Numerical solution of partial differential equations.
3.3 Applications.
Block B: Finite Element Method Topic 4- Introduction to the Finite Element Method
4.1 General Concepts.
4.2 Implementation with MATLAB.
4.3 Applications of the Finite Element Method: Deformation of beams and plates. Linear elasticity problems. Acoustic problems. Thermal problems.

Planning
Methodologies  ::  Tests
  Class hours Hours outside the classroom Total hours
Lecture 20 30 50
 
Problem solving, classroom exercises 19 28.5 47.5
Practicals using information and communication technologies (ICTs) in computer rooms 10 15 25
 
Personal tuition 7 10.5 17.5
 
Practical tests 10 0 10
 
(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students.

Methodologies
Methodologies   ::  
  Description
Lecture Theoretical classes, where the professor presents the content through lectures. The use of a blackboard, projector, and other materials available on the web will be made.
Problem solving, classroom exercises Practical classes in which problems will be solved using the Matlab tool.
Practicals using information and communication technologies (ICTs) in computer rooms Execution of 4 computer lab practices proposed by the professor. The tool used will be Matlab.
Personal tuition By appointment via email or in person. Individual or group tutoring sessions will be conducted to address any doubts that may arise related to understanding concepts or the development and resolution of assignments proposed by the professor.

Personalized attention
 
Practical tests
Description
Appointment requests will be required for individual or group tutoring sessions, which will take place in room 317 of the School of Engineering. These sessions aim to address any doubts related to the understanding of concepts or the completion and resolution of assignments proposed by the professor.

Assessment
  Description Qualification
Practicals using information and communication technologies (ICTs) in computer rooms Submission of the practice report in the computer lab. They will account for 20% of the grade.
Practical tests Two evaluation assessments will be conducted to assess mastery of both theoretical and operational knowledge of the subject. These assessments will account for 80% of the grade. These assessments will account for 80% of the grade.
 
Other comments and second call

1. Nature of the subject: The role of the subject in the degree program is predominantly practical, with a predominance of practical classes where concepts and techniques developed in theoretical classes with computational implementations are applied. Emphasis will be placed on understanding theoretical concepts to apply them confidently in the formulation, resolution, and interpretation of problems.

2. Recommendations for autonomous work: For autonomous student work, the following guidelines are recommended:

  • The subject bibliography provides invaluable material for study.
  • Prior to theoretical classes, work on the bibliography and resources indicated by the professor to facilitate active student participation.
  • Similarly, prior to practical classes, attempt to solve exercises or questions previously posed by the professor. 
3. Evaluation system:

Constant review of each student's work and assessment tests will be the mechanism for controlling and monitoring student learning. This evaluation will be summative, and the subject is passed by obtaining at least 5 points and at least 2.5 points in each evaluation control.

The student's work will be monitored through:

  • Two evaluation controls, consisting of written tests with a maximum of 8 points each.
  • Submission of practical exercises carried out in the computer lab, with a maximum of 2 points each.

During the tests, handling any material other than what the instructor specifies is not allowed. The possession and use of mobile and/or electronic devices are strictly prohibited during the tests. Merely possessing such devices, as well as unauthorized notes, books, folders, or various materials during evaluation tests, will result in immediate removal from the exam, expulsion, and a failing grade. The incident will be reported to the Academic Authority of the Center for further action as outlined in the Guidelines for Action in Cases of Plagiarism, Copying, or Fraud in Exams or Evaluation Tests, approved by the Permanent Commission of the Government Council on January 29, 2015.

4. Second Call: Students who fail the first call (June) will have the right to a second call (July), consisting of a practical exam covering the entire subject worth between zero and ten points. To pass, at least five points must be obtained. 

5. Extraordinary Call in December: This option is available to students who have a pending subject and/or the TFG to complete their studies. It will consist of a practical exam in which at least five points must be obtained to pass. The same regulations regarding handling of materials and electronic devices apply during tests.


Sources of information
Access to Recommended Bibliography in the Catalog ULE

Basic Sanz- Serna, J. M., Diez lecciones de cálculo numérico, Universidad de Valladolid. Secretariado de publicaciones, 2010
Zienkiewicz, O.C., Taylor, R. L., El método de los elementos finitos, CIMNE, 2004
, http://www3.unileon.es/ce/eii/, , Acceso a la Web de la Escuela
, https://agora.unileon.es/login/index.php, , Acceso a la plataforma Moodle
, https://buc-ule.alma.exlibrisgroup.com/leganto/readinglist/lists/2835574250005772, , Lista de lectura. LEGANTO
Chaves E. W. V., Minguez R. , Mecánica computacional en la Ingeniería con aplicaciones en Matlab, Universidad de Castilla – La Mancha, 2010
Burden, R.L. , Faires, J.D., Métodos Numéricos, Thomson, 2004
Mathews J.H, Fink K. D. , Métodos numéricos con MATLAB, Prentice Hall, 2000
Quintela, P., Métodos Numéricos en Ingeniería, Tórculo Ediciones , 2001
Chapra, S.C., Canale, R.P. , Métodos Numéricos para Ingenieros, Mc-Graw Hill, 2006
Cordero Barbero A., Hueso Pagoaga J.L.,Martinez Molada E., Torregrosa Sánchez J.R. , Problemas resueltos de Métodos Numéricos., Thomson, Madrid., 2006

Complementary


Recommendations


Subjects that it is recommended to have taken before
LINEAR ALGEBRA AND GEOMETRY / 00708001
DIFFERENTIAL AND INTEGRAL CALCULUS / 00708002
ENGINEERING MATHEMATICS / 00708012
 
Other comments
If a student does not participate in any of the evaluation tests, they will receive a zero score for that test, which will be taken into account to calculate the average grade. Once the date for a written partial test is set, it cannot be changed, and any student who does not attend will receive a zero grade.