Universitat Politècnica de Catalunya · BarcelonaTech

Bachelor's degree in Industrial Electronics and Automatic Control Engineering

Manresa School of Engineering (EPSEM)

On the bachelor’s degree in Industrial Electronics and Automatic Control Engineering, you will acquire the knowledge needed to supervise and manage engineering projects in the fields of industrial electronics and automatic control: design and development of analogue, digital and power electronic systems and industrial control and automation systems. You will receive multidisciplinary training in the fields of analogue, digital and power electronics, systems modelling and simulation, automatic regulation and control techniques and their application in industrial automation, and the principles and applications of robotic systems, industrial informatics and communications.

This bachelor's degree is taught at Manresa School of Engineering. EPSEM
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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
Fees and grants
Approximate fees per academic year: €2,551 (€3,826 for non-EU residents). Consult the public fees system based on income (grants and payment options).
Official degree
Recorded in the Ministry of Education's degree register
Places
140
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.

First semester

  • Chemistry 6
  • Environmental Technologies and Sustainability 6
  • Introduction to Computing 6
  • Mathematics I 6
  • Physics I 6

Second semester

  • Graphic Expression 6
  • Materials Science and Technology 6
  • Mathematics II 6
  • Physics II 6
  • Statistics 6

Third semester

  • Business 6
  • Electrical Systems 6
  • Mathematics III 6
  • Mechanical Systems 6
  • Thermodynamics and Fluid Mechanics 6

Fourth semester

  • Chemical Systems 6
  • Electronic Systems 6
  • Engineering Skills 6
  • Industrial Control and Automation 6
  • Operations Management 6
  • Strength of Materials 6

Fifth semester

  • Advanced Programming 6
  • Analogue Electronics 6
  • Automatic Regulation 6
  • Business English 6
  • Circuit Analysis 6
  • Communication Systems 6
  • Construction Material Factories 6
  • Construction Materials 6
  • Data Management and Storage 6
  • Data Networks and the Internet 6
  • Decision Optimisation and Theory 6
  • Digital Electronics 6
  • Drillings Applied to Engeneering 6
  • Electronic Design Analog -Digital 6
  • Electronic Design Power Systems 6
  • Energy Resources 6
  • Fuels and Thermal Processes 6
  • Geotechnical Engineering 6
  • Graphical User Interfaces 6
  • Information Processing and Transmission 6
  • Innovation, People Management and Business Start-Up 6
  • Low-Level Programming: Industrial Applications of Microcontrollers 6
  • Maintenance Management 6
  • Nuclear Technology 6
  • Operating Systems 6
  • Prevention of Occupational Risks 6
  • Production Automation 6
  • Quality Management and Integrated Quality, Safety and Environmental Management Systems 6
  • Secret and Security in Information Coding 6

Sixth semester

  • Advanced Automation 6
  • Digital Systems 6
  • Electronic Instrumentation 6
  • Microcomputers 6
  • Power Electronics 6

Seventh semester

  • Industrial Informatics 6
  • Project Methodology, Management and Orientation 6

Eighth semester

  • Bachelor's Thesis 24
  • CompulsoryECTS
  • OptionalECTS
  • ProjectECTS
Professional opportunities
  • Drafting and supervision of projects involving automation and control installations and electronic drive regulation.
  • Design, installation and maintenance of electronic control, power and instrumentation systems.
  • Design and development of industrial informatics and process monitoring systems.
  • Design, management and maintenance of industrial equipment and installations.
  • Drafting of technical, advisory and feasibility reports.
  • Management, organisation, planning and quality control.
  • Teaching and research.
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Manresa School of Engineering (EPSEM) Manresa School of Engineering (EPSEM)
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