Competencies and objectives

 

Course context for academic year 2025-26

Fundamentos Matemáticos de la Ingeniería 1 es una asignatura básica de 9 créditos, impartida en el 1er curso (1er semestre) del Grado en Ingeniería Aeroespacial. En ella, se tratan los contenidos principales del Cálculo Diferencial e Integral, en una y varias variables, necesarios en la formación de los futuros ingenieros/as. En este sentido, la asignatura se centra en dos bloques fundamentales. En el primer bloque, se abordan las funciones de una variable: límites, derivabilidad, cálculo de extremos, integración y ciertas ecuaciones diferenciales de 1er orden y 2º orden. En el segundo bloque, se desarrollan los conceptos sobre funciones de varias variables: límites, continuidad, diferenciabilidad, cálculo de extremos, extremos condicionados, integración múltiple, curvas y superficies en el espacio y operadores diferenciales.

 

 

Learning outcomes / Course competencies (verified by ANECA in official undergraduate and Master’s degrees) for academic year 2025-26

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 derivability and integrability of functions of one variable.
  • Apply differential and integral calculus to problems of approximation, optimisation and the determination of areas.
  • Calculate the solutions of basic differential equations of first and second order with constant coefficients.
  • Calculate the limits, continuity, derivability, differentiability and multiple integration of functions of several variables.
  • Apply differential calculus in problems of approximation, free, conditional and absolute optimisation of functions of several variables and in the determination of areas, volumes and geometry of masses.
  • Develop the concepts of differential geometry of curves and surfaces in space.
  • Use the characteristic elements of the differential operators gradient, divergence and rotational and their properties.

 

 

Specific objectives stated by the academic staff for academic year 2025-26

No data

 

 

General

Code: 33803
Lecturer responsible:
Moreno Martínez, Laura
Credits ECTS: 9,00
Theoretical credits: 0,00
Practical credits: 3,60
Distance-base hours: 5,40

Departments involved

  • Dept: Applied Mathematics and Aerospace Engineering
    Area: Applied Mathematics
    Theoretical credits: 0
    Practical credits: 3,6
    This Dept. is responsible for the course.
    This Dept. is responsible for the final mark record.

Study programmes where this course is taught