Curriculum

Universitat Politècnica de Catalunya · BarcelonaTech

Bachelor's degree in Aerospace Technology Engineering + master's degree in Aerospace Engineering. Sequential academic programme (PARS): Aerospace Engineer

Terrassa School of Industrial, Aerospace and Audiovisual Engineering (ESEIAAT)

Duration
4 years
Study load
240 ECTS credits (including the bachelor's thesis). One credit is equivalent to a study load of 25-30 hours.
Delivery
Face-to-face
Timetables
The degree is taught in the mornings. Subjects may be repeated the following semester in the afternoons.
Language of instruction

Check the language of instruction for each subject (and timetable) in the course guide in the curriculum.

Information on language use in the classroom and students’ language rights.

Fees and grants
Approximate fees per academic year: €1,107 (€2,553 for non-EU residents). Consult the public fees system based on income (grants and payment options).
Location
Terrassa School of Industrial, Aerospace and Audiovisual Engineering (ESEIAAT)
Official degree
Recorded in the Ministry of Education's degree register
Places
60
Registration and enrolment
What are the requirements to enrol in a bachelor's degree course?
Legalisation of foreign documents
All documents issued in non-EU countries must be legalised and bear the corresponding apostille.
Subjects ECTS credits Type
First semester

Algebra

Algebra

6 Compulsory

Business

Business

6 Compulsory

Calculus I

Calculus I

6 Compulsory

Fundamentals of Programming

Fundamentals of Programming

6 Compulsory

Physics I

Physics I

6 Compulsory
Second semester

Airspace, Air Navigation and Infrastructure

Airspace, Air Navigation and Infrastructure

4.5 Compulsory

Calculus II

Calculus II

6 Compulsory

Chemistry

Chemistry

6 Compulsory

Graphic Expression

Graphic Expression

7.5 Compulsory

Physics II

Physics II

6 Compulsory
Third semester

Aerospace Vehicles

Aerospace Vehicles

6 Compulsory

Further Mathematics

Further Mathematics

6 Compulsory

Physics III

Physics III

6 Compulsory

Statistics

Statistics

6 Compulsory

Thermodynamics

Thermodynamics

6 Compulsory
Fourth semester

Electrical Circuits

Electrical Circuits

6 Compulsory

Fluid Mechanics

Fluid Mechanics

7.5 Compulsory

Materials Science

Materials Science

7.5 Compulsory

Mechanics

Mechanics

4.5 Compulsory

Propulsion Systems

Propulsion Systems

4.5 Compulsory
Fifth semester

Aerodynamics

Aerodynamics

6 Compulsory

Automatic Control

Automatic Control

4.5 Compulsory

Electronic Circuits

Electronic Circuits

6 Compulsory

Mechanics II

Mechanics II

6 Compulsory

Structural Theory

Structural Theory

7.5 Compulsory
Sixth semester

Advanced Fluid Mechanics

Advanced Fluid Mechanics

3 Optional

Advanced Programming Oriented Towards Goals

Advanced Programming Oriented Towards Goals

3 Optional

Aerospace Structures

Aerospace Structures

7.5 Compulsory

Air Pollution and Treatment Technologies

Air Pollution and Treatment Technologies

6 Optional

Airport Process Rethinking

Airport Process Rethinking

3 Optional

Applied UAV Control

Applied UAV Control

3 Optional

Autonomous Vehicle Programming

Autonomous Vehicle Programming

3 Optional

Aviation Meteorology 

Aviation Meteorology 

3 Optional

Avionics

Avionics

4.5 Compulsory

Basic Robotics

Basic Robotics

6 Optional

Big Data Tools and Applications

Big Data Tools and Applications

3 Optional

Bim for Engineers

Bim for Engineers

3 Optional

Building Energy Certification

Building Energy Certification

3 Optional

Control and Guidance of Mobile Robots

Control and Guidance of Mobile Robots

6 Optional

Creative Lab

Creative Lab

6 Optional

Creative Programming with Processing

Creative Programming with Processing

3 Optional

Critical Thinking for 3D Printing

Critical Thinking for 3D Printing

6 Optional

Design, Build and Test Unmanned Aircraft

Design, Build and Test Unmanned Aircraft

3 Optional

Electromobility and Electrical Aircraft Systems

Electromobility and Electrical Aircraft Systems

3 Optional

Embedded Systems Programming

Embedded Systems Programming

3 Optional

Energy Storage and Conversion Application

Energy Storage and Conversion Application

3 Optional

Experimental Aerodynamics

Experimental Aerodynamics

3 Optional

Experimental Labs in Fluids

Experimental Labs in Fluids

3 Optional

Flight Mechanics

Flight Mechanics

6 Compulsory

Flight Simulation for Aeronautical Engineering

Flight Simulation for Aeronautical Engineering

3 Optional

Fundamentals of Cubesat Mission Design

Fundamentals of Cubesat Mission Design

3 Optional

Gas Dynamics and Heat and Mass Transfer

Gas Dynamics and Heat and Mass Transfer

6 Compulsory

High Performance Computing for Aerospace Engineering

High Performance Computing for Aerospace Engineering

3 Optional

Highly Automated Production Systems

Highly Automated Production Systems

3 Optional

Hospital Engineering

Hospital Engineering

6 Optional

Initiation to Paper and Graphic Industrial Tecnologies

Initiation to Paper and Graphic Industrial Tecnologies

6 Optional

Introduction to Big Data

Introduction to Big Data

3 Optional

Introduction to Cubesats

Introduction to Cubesats

3 Optional

Introduction to Dynamical Systems and Ergodic Theory

Introduction to Dynamical Systems and Ergodic Theory

3 Optional

Introduction to Forensic Expert for Technique Dispute Resolution

Introduction to Forensic Expert for Technique Dispute Resolution

3 Optional

Introduction to Lean Construction

Introduction to Lean Construction

3 Optional

Introduction to Object-Oriented Programming

Introduction to Object-Oriented Programming

3 Optional

Introduction to Rockets

Introduction to Rockets

3 Optional

Key Factors for the Professional Success

Key Factors for the Professional Success

3 Optional

Leadership and Professional Development in Engineering

Leadership and Professional Development in Engineering

3 Optional

Lean Construction and Circular Economy Basics

Lean Construction and Circular Economy Basics

3 Optional

Mobile Programming

Mobile Programming

6 Optional

Modelisation, Complexity and Sustainability

Modelisation, Complexity and Sustainability

6 Optional

Numerical Methods for Engineers

Numerical Methods for Engineers

6 Optional

Numerical Tools in Machine Learning for Aeronautical Engineering

Numerical Tools in Machine Learning for Aeronautical Engineering

3 Optional

Planning, Simulation and Supervision of Industrial Processes

Planning, Simulation and Supervision of Industrial Processes

6 Optional

Polymers in Engineering

Polymers in Engineering

6 Optional

Professional Communication for Engineers Through Virtual Reality

Professional Communication for Engineers Through Virtual Reality

3 Optional

Programming of Mobiles Android

Programming of Mobiles Android

6 Optional

Propulsion

Propulsion

6 Compulsory

Robotic Exploration of the Solar System

Robotic Exploration of the Solar System

3 Optional

Robotics and Automation

Robotics and Automation

3 Optional

Safety Robotics and Automation for Industry 4.0

Safety Robotics and Automation for Industry 4.0

3 Optional

Surface Chemistry for Industrial Applications Design

Surface Chemistry for Industrial Applications Design

3 Optional

Technology, Society and Globalization: the Sustainability Challenge in the XXIth Century

Technology, Society and Globalization: the Sustainability Challenge in the XXIth Century

6 Optional

Towards a New Cockpit Generation Commercial Aircraft

Towards a New Cockpit Generation Commercial Aircraft

3 Optional

Turbulence in Aerospace Science and Engineering

Turbulence in Aerospace Science and Engineering

3 Optional

Uav Generative Design

Uav Generative Design

6 Optional

Validating and Communicating Innovative Ideas

Validating and Communicating Innovative Ideas

6 Optional

Vibroacoustics

Vibroacoustics

3 Optional

Web Applications

Web Applications

3 Optional
Seventh semester

Aircraft Design

Aircraft Design

6 Compulsory

Airport Engineering

Airport Engineering

7.5 Compulsory

Computational Aerospace Engineering

Computational Aerospace Engineering

4.5 Compulsory

Projects

Projects

6 Compulsory

Space Engineering

Space Engineering

6 Compulsory
Eighth semester

Advanced Control Systems

Advanced Control Systems

3 Optional

Agrivoltaics: Photovoltaic Solar Energy for Sustainable Development

Agrivoltaics: Photovoltaic Solar Energy for Sustainable Development

3 Optional

Alternative Propulsion Vehicles

Alternative Propulsion Vehicles

3 Optional

An Introduction to Space Systems

An Introduction to Space Systems

3 Optional

Analysis of Thermal and Fluid Dynamics Issues in Industrial And/Or Aeronautical Systems and Equipment

Analysis of Thermal and Fluid Dynamics Issues in Industrial And/Or Aeronautical Systems and Equipment

3 Optional

Application of Matlab-Octave to Thermal Engineering Problems

Application of Matlab-Octave to Thermal Engineering Problems

3 Optional

Application of Open-Source Cfd to Engineering Problems

Application of Open-Source Cfd to Engineering Problems

3 Optional

Automobile Electronics

Automobile Electronics

3 Optional

BIM Management

BIM Management

3 Optional

Characterization Techniques for Metallic Alloys

Characterization Techniques for Metallic Alloys

3 Optional

Decision Criteria - Engineer as Employee or Engineer as Entrepreneur

Decision Criteria - Engineer as Employee or Engineer as Entrepreneur

3 Optional

Digitalization Applied to Energy Systems

Digitalization Applied to Energy Systems

3 Optional

Electrical Project Design with Eplan

Electrical Project Design with Eplan

3 Optional

Energy Efficiency Systems

Energy Efficiency Systems

3 Optional

Engines and Powertrains

Engines and Powertrains

3 Optional

Experimental Design

Experimental Design

3 Optional

Finite Elements in Structural Analysis

Finite Elements in Structural Analysis

3 Optional

Fluid Dynamic Technologies in Vehicles

Fluid Dynamic Technologies in Vehicles

3 Optional

Fluid Mechanics II

Fluid Mechanics II

3 Optional

Fundamentals of Robotics

Fundamentals of Robotics

3 Optional

Greening the Built Environment

Greening the Built Environment

3 Optional

Hydrogen’S Future: Technologies and Applications

Hydrogen’S Future: Technologies and Applications

3 Optional

Industrial Organic Chemistry

Industrial Organic Chemistry

3 Optional

Information and Communication Technology

Information and Communication Technology

3 Optional

Innovation and Creativity: Tools for Engineering

Innovation and Creativity: Tools for Engineering

3 Optional

Introduction to Reverse Engineering

Introduction to Reverse Engineering

3 Optional

Introduction to Robotics and Automation

Introduction to Robotics and Automation

3 Optional

Introduction to Sailplanes

Introduction to Sailplanes

3 Optional

Knowledge of Aerospace Companies and Professional Practice

Knowledge of Aerospace Companies and Professional Practice

3 Optional

Lasers and Photonic Technologies for Engineering

Lasers and Photonic Technologies for Engineering

3 Optional

Learning From Mechanical Failure in Engineering

Learning From Mechanical Failure in Engineering

3 Optional

Lightweight Materials for Engineering Applications

Lightweight Materials for Engineering Applications

3 Optional

Lignocellulosic Biorefineries

Lignocellulosic Biorefineries

3 Optional

Materials Characterization and Surface Engineering

Materials Characterization and Surface Engineering

3 Optional

Materials Chemistry

Materials Chemistry

3 Optional

Materials Engineering: Learning From Disasters

Materials Engineering: Learning From Disasters

3 Optional

Mathematical Models in Engineering

Mathematical Models in Engineering

3 Optional

Mathematics and Computing Engineering

Mathematics and Computing Engineering

3 Optional

Mechanical Design and Manufacturing

Mechanical Design and Manufacturing

3 Optional

Mechanics of Robotic Manipulation

Mechanics of Robotic Manipulation

3 Optional

Motorbikes Design and Secrets

Motorbikes Design and Secrets

3 Optional

Nonlinear Systems, Chaos and Control in Engineering

Nonlinear Systems, Chaos and Control in Engineering

3 Optional

Numerical Optimization with Applications in Machine Learning and Aeronautical Engineering

Numerical Optimization with Applications in Machine Learning and Aeronautical Engineering

3 Optional

Optimization of Industrial Processes

Optimization of Industrial Processes

3 Optional

Plug-In Hybrid Electric Vehicles. Concept, Design and Project of Electric Propulsion Systems

Plug-In Hybrid Electric Vehicles. Concept, Design and Project of Electric Propulsion Systems

3 Optional

Professional Communication for Engineers Through Virtual Reality II

Professional Communication for Engineers Through Virtual Reality II

3 Optional

Real-Time Programming and Database Systems

Real-Time Programming and Database Systems

3 Optional

Spoken Academic and Professional Skills

Spoken Academic and Professional Skills

3 Optional

Sustainable Manufacturing Technologies

Sustainable Manufacturing Technologies

3 Optional

Technological Projects I

Technological Projects I

6 Optional

Technological Projects II

Technological Projects II

6 Optional

Telemetry and Smart Electronics Projects

Telemetry and Smart Electronics Projects

3 Optional

Thermodynamics of Materials

Thermodynamics of Materials

3 Optional

Uav Fundamentals & Operations

Uav Fundamentals & Operations

3 Optional

Uav Guidance & Autonomous Control

Uav Guidance & Autonomous Control

3 Optional

Uav Hardware & Programming

Uav Hardware & Programming

3 Optional

Uav Research & Development

Uav Research & Development

3 Optional

Uav Research & Development Project

Uav Research & Development Project

3 Optional

Uav Sensors & Applications

Uav Sensors & Applications

3 Optional

Unit Operation in Engineering

Unit Operation in Engineering

3 Optional

Vehicle Dynamics

Vehicle Dynamics

3 Optional

Wind Turbines Design

Wind Turbines Design

3 Optional

Written Academic Skills for Engineering

Written Academic Skills for Engineering

3 Optional

Bachelor's Thesis

Bachelor's Thesis

12 Project
Professional opportunities
  • Design, manufacture, maintenance and operation of aerospace vehicles (aircraft and spacecraft) and aeronautical engineering works.
  • Planning, construction and management of airport infrastructure.
  • Control and supervision of ground facilities, airport terminals, signalling systems and structures used in air navigation.
  • Management of aeronautical companies.
  • Management of environmental and security projects related to relevant areas of expertise.
  • Teaching and research.
With other Catalan universities
  • Bachelor's degree in Aerospace Technology Engineering + Master's degree in Aeronautical Engineering + Bachelor's degree in Business Administration and Management (UOC)
  • Bachelor's degree in Aerospace Technology Engineering + Master's degree in Aeronautical Engineering + Bachelor's degree in Economics (UOC)
Further information on this website

Within the framework of the courses offered by the Interdisciplinary Higher Education Centre (CFIS)
You can also take an interdisciplinary double degree coordinated by the CFIS at two UPC schools.

Further information on the CFIS website

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