Competencies and objectives
Course context for academic year 2024-25
The subject "Mathematical Methods for Aerospace Engineering" is a basic training course in the Aerospace Engineering degree program. It is taught in the second semester of the first year.
This course provides the numerical calculation techniques and statistics and probability knowledge that an Aerospace Engineering student must know and master before delving into the subjects more directly related to Aerospace Engineering in later years.
Course competencies (verified by ANECA in official undergraduate and Master’s degrees) for academic year 2024-25
Transversal Competences
- CT02 : Utilizar de forma habitual las herramientas informáticas, así como las tecnologías de la información y las comunicaciones, en todo su desempeño profesional.
General Competences
- CG01 : Capacity for the design, development and management in the field of aeronautical engineering, in accordance with the knowledge acquired as established in section 5 of the order CIN/308/2009, of 9 February, aerospace vehicles, aerospace propulsion systems, aerospace materials, airport infrastructures, air navigation infrastructures and any space, traffic and air transport management system.
- CG02 : Planning, drafting, direction and management of projects, calculations and manufacturing in the field of aeronautical engineering, in accordance with the knowledge acquired in accordance with section 5 of order CIN/308/2009, of 9 February, aerospace vehicles, aerospace propulsion systems, aerospace materials, airport infrastructures, air navigation infrastructures and any space, traffic and air transport management system.
- CG03 : Installation, operation and maintenance in the field of aeronautical engineering, in accordance with the knowledge acquired as established in section 5 of the order CIN/308/2009, of 9 February, of aerospace vehicles, aerospace propulsion systems, aerospace materials, airport infrastructures, air navigation infrastructures and any space, traffic and air transport management system.
- CG04 : Verification and Certification in the field of aeronautical engineering, in accordance with the knowledge acquired as established in section 5 of order CIN/308/2009, of 9 February, on aerospace vehicles, aerospace propulsion systems, aerospace materials, airport infrastructures, aeronautical infrastructures and any space, traffic and air transport management system.
- CG05 : Ability to carry out activities of design, technical management, expertise, drafting of reports, opinions, and technical advice in tasks related to Aeronautical Technical Engineering, exercise of genuinely aerospace technical functions and positions.
- CG06 : Ability to participate in flight test programmes to collect data on take-off distances, climb rates, stall speeds, manoeuvrability and landing capabilities.
- CG07 : Capacity to analyse and assess the social and environmental impact of technical solutions.
Specific Competences
- CE01 : Ability to solve mathematical problems that may arise in engineering and aptitude to apply knowledge of: linear algebra; geometry; differential geometry; differential and integral calculus; differential equations and partial derivatives; numerical methods; numerical algorithms; statistics and optimisation.
Basic Competences
- CB1 : That students have demonstrated possession and understanding of knowledge in an area of study that builds on the foundation of general secondary education, and is usually at a level that, while relying on advanced textbooks, also includes some aspects that involve knowledge from the cutting edge of their field of study.
Learning outcomes (Training objectives)
- Use the language of Mathematics applied to the resolution of mathematical problems in Aerospace Engineering.
- Calculate the interpolating polynomial in its different forms, the numerical derivative and the numerical quadrature.
- Find the numerical solutions of a non-linear equation, of a non-linear system and of linear systems of equations.
- Apply Descriptive Statistics in the qualitative and quantitative description of a set of data.
- Use the concepts of probability, random variables and the basic techniques of statistical inference.
Specific objectives stated by the academic staff for academic year 2024-25
1. Understand the necessity and utility of numerical methods in aerospace engineering.
2. Have a comprehensive overview of numerical methods for design and calculation in aerospace engineering.
3. Compare the efficiency of different numerical methods.
4. Know the theoretical and practical convergence of the methods (consistency, stability, error analysis).
5. Be able to analyze and derive algorithms.
6. Acquire skills with calculators, computers, and software for solving problems using numerical methods.
7. Be proficient in the interpretation, representation, and presentation of numerical results. Know how to give the results the correct meaning within the context of the problem being solved, contrasting with other sources of information.
8. Understand the different objectives of statistical analysis: descriptive or inferential.
9. Distinguish between a statistical population and a sample from it.
10. Synthesize and describe a large amount of data by selecting the appropriate statistics for the type of variables and analyze the relationships between them.
11. Recognize the necessity and utility of Statistics as a tool in professional practice.
12. Understand the probabilistic basis of statistical inference.
13. Know how to estimate unknown parameters of a population from a sample.
14. Understand the principles and applications of statistical hypothesis testing.
15. Compare two populations based on their characteristic and unknown parameters.
16. Formulate real problems in statistical terms (parameter estimation, hypothesis testing, etc.) and apply statistical inference to solve them.
17. Know the general principles of the most common probabilistic models.
18. Possess skills in using tables, calculators, and statistical packages.
General
Code:
33808
Lecturer responsible:
Sayol España, Juan Manuel
Credits ECTS:
6,00
Theoretical credits:
0,00
Practical credits:
2,40
Distance-base hours:
3,60
Departments involved
-
Dept:
APPLIED MATHEMATICS
Area: APPLIED MATHEMATICS
Theoretical credits: 0
Practical credits: 2,4
This Dept. is responsible for the course.
This Dept. is responsible for the final mark record.
Study programmes where this course is taught
-
DEGREE IN AEROSPACE ENGINEERING
Course type: CORE (Year: 1)