Fundamental Engineering Courses
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 DMA-SAP-431 Applied Linear Algebra
 Introductory course emphasizing techniques of linear algebra with applications to engineering; topics include matrix operations, determinants, linear equations, vector spaces, linear transformations, eigenvalues and eigenvectors, inner products and norms, orthogonality, equilibrium, and linear dynamical systems.
This subject was pre-approved by Univ. of Illinois-UC as an equivalent to MATH 415
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4 h/week (6 ECTS)
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 DIE-SAP-212 Electricity and Magnetism
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4 h/week (6 ECTS)
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DIM-SAP-353 Engineering Fluid Mechanics
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4 h/week (6 ECTS)
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DOI-SAP-303 Engineering Statistics
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4 h/week (6 ECTS)
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 DIM-SAP-336 Engineering Thermodynamics
Engineering Thermodynamics is concerned with energy transformation and utilization. The key of the subject is the analysis of any energy process, determining the variation of the thermophysical properties of the fluids involved and applying energy, entropy and exergy balances. Basic air-conditioning processes are also studied. Examples and study cases about heat to mechanical/electric power conversion are analysed.
This subject was pre-approved by Univ. of Illinois-UC as an equivalent to ME 300
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4 h/week (6 ECTS)
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DIM-SAP-336 Engineering Economy
EThis course introduces the student to the basic concepts of corporate finance, and some elements of Capital Projects, developing further those aspects which are more relevant to engineering.
The course gets deep into the fundamentals of financial management and capital budgeting, by using skills and techniques previously learnt in engineering school.
During the course, students will learn about the time value of money, how to interpret and analyze financial statements, to forecast cash flows, to valuate investment projects, to compromise between risk and return, to make complex economic projections, to prepare budgets and to manage the net‐ working capital, among other relevant issues.
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4 h/week (6 ECTS)
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DIM-SAP-346 Environmental Engineering and Sustainability
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4 h/week (6 ECTS)
(4.8 ects Theory + 1.2 ects Lab)
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DIM-SAP-167 General Chemistry
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5 h/week (7.5 ECTS)
(4.5 ects Theory + 3 ects Lab)
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DMA-SAP-230 Introduction to Differential Equations
Techniques and applications of ordinary differential equations, including Fourier series and boundary value problems, linear systems of differential equations, and an introduction to partial differential equations. Covers a typical math 2xx course plus linear systems. Intended for engineering majors and other who require a working knowledge of differential equations.
This subject was pre-approved by Univ. of Illinois-UC as an equivalent to MATH 286
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4 h/week (6 ECTS)
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DIM-SAP-233 Introduction to Dynamics
Students who successfully complete this course will be able to:
* develop strategies to analyze the dynamics of particles and rigid bodies
* apply the laws of dynamics to analyze and interpret the dynamics of particles and rigid bodies
* use the computer to analyze the motions of particles and rigid bodies of open-ended problems
This subject was pre-approved by Univ. of Illinois-UC as an equivalent to TAM 212
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4 h/week (6 ECTS)
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DIM-SAP-211 Introduction to Statics
This subject was pre-approved by Univ. of Illinois-UC as an equivalent to ECE 205 (theory) + ECE 206 (lab)
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4 h/week (6 ECTS)
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DEA-SAP-235 Introduction to Electric and Electronic Circuits
The goals are to impart the fundamental principles of electric circuits, semiconductor devices, and electronic circuits that constitute the foundation for preparing a non-major to take follow-on courses involving electric and electronic circuits.
This subject was pre-approved by Univ. of Illinois-UC as an equivalent to ECE 205 (theory) + ECE 206 (lab)
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5 h/week (7.5 ECTS)
(3h Theory + 2h Lab)
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DIM-SAP-337 Introduction to Materials and their Applications
The course introduces the student to the following topics: Structure of materials, chemical composition, phase transformations, corrosion and mechanical properties of metals, the failure of materials, ceramics, polymers and related materials. Methodologies for material selection in engineering applications is also emphasized. In addition to lectures the students will attend one fifty minute demonstration/recitation session per week. These sessions are required are intended to demonstrate the concepts covered in the lectures.
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4 h/week (6 ECTS)
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DMA-SAP-241 Multivariable Calculus
The most important topics of this course are Vectors and coordinate geometry in 3-space; vector functions and curves; partial differentiation; applications to partial derivatives; multiple integration. The ideas of the vector calculus apply to numerous areas of human knowledge such as engineering, physics, pure mathematics, biology, and many others. Mathematical software will be used during the lectures.
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4 h/week (6 ECTS)
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DMA-SAP-437 Numerical Analysis
The target of this course is to provide a description about of the most important numerical methods to approximate solutions of linear systems, nonlinear equations and nonlinear systems of equations, to optimize and interpolate functions, to approximate integrals and solutions of initial value problems and boundary value problems for ODEs and PDEs. In each numerical method the algorithm, accuracy, conditioning, stability and rate of convergence will be analyzed and the implementation with the software Matlab will be carried out.
This subject was pre-approved by Univ. of Illinois-UC as an equivalent to CS 450
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4 h/week (6 ECTS)
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DIM-SAP-239 Principles of Molecular Cell Biology and Biotechnology
This course deals with the biology of cells of higher organisms, their structure and function; and processes operating in cells, such as transcription, protein biogenesis, cell adhesion, cell proliferation, cell communication and differentiation. Experimentation with eukaryotic cells, as well as biology data analysis and introduction to scientific communication are also introduced.
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45h Theory + 30h Lab (7.5 ECTS)
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DIM-SAP-231 Thermal Physics
First and second laws of thermodynamics including kinetic theory of gases, heat capacity, heat engines, introduction to entropy and statistical mechanics, and introduction to application of free energy and Boltzmann factor. A calculus-based approach for majors in engineering, mathematics, physics and chemistry.
This subject was pre-approved by Univ. of Illinois-UC as an equivalent to PHYS 213
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4 h/week (3 ECTS)
(2 months)
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DIM-SAP-232 Quantum Physics
Interference and diffraction, photons and matter waves, the Bohr atom, uncertainty principle, and wave mechanics. A calculus-based course for majors in engineering, mathematics, physics, and chemistry.
This subject was pre-approved by Univ. of Illinois-UC as an equivalent to PHYS 214
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4 h/week (3 ECTS)
(2 months)
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DTC-SAP-234 Introduction to Python Programming
This course introduces students to the fundamentals of Python programming, covering essential concepts and techniques for effective coding and problem-solving. Designed for beginners, it builds a solid foundation in programming, from basic syntax and data manipulation to structured programming and debugging skills.
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4 h/week (6 ECTS)
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DTC-SAP-374 Introduction to Algorithms and Models of Computation
This course provides a comprehensive introduction to the core concepts of algorithms and computational theory. The curriculum covers a wide range of topics, from basic algorithm design and analysis to the study of formal languages and computational complexity.
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4 h/week (6 ECTS)
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DTC-SAP-333 Machine Learning and Artificial Intelligence with Python
This introductory course provides students with a hands-on foundation in artificial intelligence (AI) and machine learning (ML), offering a practical, beginner-friendly path to understanding and creating their first AI models. Students will explore essential AI and ML concepts, develop skills in Python programming for AI, and gain experience in popular AI domains such as Natural Language Processing (NLP) and Computer Vision.
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4 h/week (6 ECTS)
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Spanish Culture and Language Courses
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TEO-SAP-123 Christianity and World Religions
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2 h/week (3 ECTS)
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IIM-SAP-121 Español para alumnos de intercambio A1
Standard Spanish course for Exchange Students course, Level A1.
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3 h/week (5 ECTS)
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IIM-SAP-122 Español para alumnos de intercambio A2
Standard Spanish course for Exchange Students course, Level A2.
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3 h/week (5 ECTS)
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IIM-SAP-123 Español para alumnos de intercambio B1
Standard Spanish course for Exchange Students course, Level B1.
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3 h/week (5 ECTS)
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IIM-SAP-124 Español para alumnos de intercambio B2
Standard Spanish course for Exchange Students course, Level B2.
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3 h/week (5 ECTS)
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IIM-SAP-125 Español para alumnos de intercambio C1
Standard Spanish course for Exchange Students course, Level C1.
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3 h/week (5 ECTS)
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DOI-SAP-130 Spanish Culture through Films
The course has been designed to provide students with an overview of recent Spanish culture as depicted in several movies. It also aims at providing students with an understanding of culture as a site for the construction of meaning and identity.
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4 h/week (6 ECTS)
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IIM-SAP-140 Spanish Culture
A language is always linked to its culture. The objective of this subject is to assist students to become familiar with the reality of the country in which they are living: its history and its present.
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2 h/week (3 ECTS)
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Elective courses on Engineering Technologies
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DIM-OPT-436 3D Engineering Design with Dynamic Simulation
At the end of the season, the students will be able to apply fundamental engineering design principles and procedures, to design and optimize parts and assemblies using CAD/CAM/CAE technology, and to implement rapid prototyping and reverse engineering complete processes.
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2 h/week (3 ECTS)
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DEA-OPT-438 Aerospace Electronics
This course provides an overview of the electronic systems and equipment found in spacecraft developments such as power, data handling, and instrumentation. The course also intends as well to provide an overview on cost impacts derived from design and development activities. A visit to SENER facilities is included, to provide an overview of the development facilities (assembly and testing) but as well to have a working day on a true environment with dedicated engineering support from experts in the area.
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2 h/week (3 ECTS)
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DEA-OPT-431 Automotive Electronics
An overview of the electronic systems found in automotive designs including critical systems, navigation, sensoring, interfacing, safety systems and communication systems. The course also reviews trends in automotive electronics as well as issues (such as production techniques, cost, reliability and systems integration) that are driving the automotive industry.
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2 h/week (3 ECTS)
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DIM-OPT-433 Automotive Engines
Basic Engine design: components and systems. Basic thermodynamics. Otto, Diesel, Atkinson and Miller cycles. Engine performance modeling and prediction. Link between ground vehicle and engines. Aerodynamic Drag, grading resistance and rolling resistance. Exhaust Emissions (tail pipe).Hybrid and Electric vehicles.
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2 h/week (3 ECTS)
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DIE-OPT-437 The Challenge of Future Electricity Systems
At the end of the course the students will be able to analyze from an integrated perspective, building from the engineering background, all new challenges of the electric power systems: integration of renewable, activation of demand side, etc.
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2 h/week (3 ECTS)
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DOI-OPT-439 Circular economy and eco-industry
This course will introduce key concepts on circular economy and eco-industry, and provide an opportunity for hands-on learning on these topics. Classes will combine theoretical pills, case studies, tools and techniques for idea generation and business model design, and team work on a project. The team project will indeed be the cornerstone of the course: students will work on innovative solutions for the circular economy taking into account technical considerations, business model design, and supply chain design.
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2 h/week (3 ECTS)
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DIE-OPT-434 Energy Economics: Primary Sources, Electric Power Systems and Market
The course presents an interdisciplinary perspective of the energy sector, with a special focus on the electric power sector, linking the engineering, economic, legal and environmental viewpoints.
The course reviews the whole electricity supply value chain, from the analysis of the key primary energy sources to the description of the main electricity activities and the different regimes in which they operate, with a special focus on the review of the fundamentals needed to approach the market designs currently implemented worldwide.
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2 h/week (3 ECTS)
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DOI-OPT-445 Introduction to Entrepreneurship
This course has been created as a training that allows students to learn how to develop business models with new, more agile methodologies. This is the Business Design & Lean Startup course. Classes will combine theoretical pills, case studies, tools and techniques for idea generation and business model design, and team work on a project. The team project will indeed be the cornerstone of the course.
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2 h/week (3 ECTS)
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DIM-OPT-423 Metrology
This course is an introduction to metrology. It gives an overview on uncertainty calculations and focus on dimensional and geometrical metrology focus on GPS standardization.
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2 h/week (3 ECTS)
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DIM-OPT-432 Nanotechnology
The new frontiers of materials, chemical and biological research. Oriented to give the basic principles of nanotechnology and nanomaterials, without requiring quantum physics knowledge, and to swipe through the applications and the future possibilities in the field.
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2 h/week (3 ECTS)
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XXX-SAP-491 Research Project I (100h)
Research projects with ICAI professors, offered each year (availability varies).
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(4 ECTS) |
XXX-SAP-492 Research Project II (100h)
Research projects with ICAI professors, offered each year (availability varies).
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(4 ECTS) |
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(*) 2 hours/week of lecture and laboratory classes during one semester correspond to 3 ECTS (European Credits).
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