Physics and Mathematics at Spanish high school level (recommended)

LEARNING OUTCOMES CB1: 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. CB3: Students have the ability to gather and interpret relevant data (usually within their field of study) in order to make judgements which include reflection on relevant social, scientific or ethical issues. CGB2: Understanding and mastery of the basic concepts of fields and waves and electromagnetism, electric circuit theory, electronic circuits, physical princi- ples of semiconductors and logic families, electronic and photonic devices, and their application to the resolution of engineering problems. CG2: Be able to generate new ideas (creativity), to anticipate new situations, to adapt to new situations, working in a team and interact with others, but at the same time be able to work autonomously. RA1.1: Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes. RA2.1: Ability to analyse complex engineering products, processes and systems in their field of study; to select and apply relevant methods from established analytical, computational and experimental methods; to correctly interpret the outcomes of such analyses. RA4.3: Laboratory/workshop skills and ability to design and conduct experimental investigations, interpret data and draw conclusions in their field of study. RA6.1: Ability to gather and interpret relevant data and handle complexity within their field of study, to inform judgements that include reflection on relevant social and ethical issues. OBJECTIVES Apply the concepts of electrostatics and magnetostatics to electric current. Understand physical electronics and its application to semiconductor devices. Understand circuits and their basic components.

RA1.1: Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes. RA6.1: Ability to gather and interpret relevant data and handle complexity within their field of study, to inform judgements that include reflection on relevant social and ethical issues. CB1: 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. CB3: Students have the ability to gather and interpret relevant data (usually within their field of study) in order to make judgements which include reflection on relevant social, scientific or ethical issues. CGB2: Understanding and mastery of the basic concepts of fields and waves and electromagnetism, electric circuit theory, electronic circuits, physical principles of semiconductors and logic families, electronic and photonic devices, and their application to the resolution of engineering problems.

1. Coulomb's Law. Electric field: Electric charge. Interaction between electric charges. Electric field. Principle of superposition. Electric field lines. 2. Gauss's Law: Continuous charge distributions. Charge densities. Electric flux. Gauss's Law. Application of Gauss's law to the calculation of electric fields. 3. Electric potential: Electrostatic work and electrostatic potential energy. Concept of electric potential. Potential created by a point charge. Principle of superposition. Potential due to a system of point charges. 4. Conductors and dielectrics: Behavior of conductive and insulating materials within an electric field. Conductors in electrostatic equilibrium. Definition of a capacitor. Capacitance of a capacitor. Calculation of the capacitance of a paralel-plate capacitor. Association of capacitors. Energy stored in a capacitor. Capacitors with dielectrics. 5. Electric current: Movement of charge in metals. Direct current. Current intensity and density. Ohm's Law. Electrical resistivity and conductivity. Power dissipated in a conductor. Joule's Law. Energy in a circuit. Electromotive force. 7. Magnetic forces and magnetic fields: Definition of a magnetic field. Lorentz force. Motion of a charged particle in a magnetic field. Applications. Magnetic force on current-carrying wires. Electric currents as sources of magnetic fields. Ampere's law. 8. Magnetic induction. Faraday's law: Magnetic flux through a circuit. Induced emf and Faraday's law. Direction of induced current in a circuit. Lenz's law. Examples. Inductance of a circuit. Inductance as a circuit element. RL circuits. Magnetic energy. 9. Elements of alternating current circuit theory. Phasor description: Alternating current generators. Alternating current in circuits with resistors. Frequency and phase. Power. RMS values. Alternating current in RL and RC circuits. Inductive and capacitive reactance. Review of complex numbers. Phasors. Phasor relationships in R, L, and C circuits. Impedance. Series RLC circuit. Resonance. Power of an RLC circuit. The transformer. 10. Structure of matter: atoms and solids: Energy levels in solids. Conduction and valence bands. Conductors, insulators, and semiconductors. Charge carriers in semiconductors: electrons and holes. Intrinsic and extrinsic semiconductors. 11. Physical electronics: Semiconductor devices: The PN junction. Semiconductor diodes. Forward and reverse biasing. Field-effect transistors: The MOSFET transistor. Applications.

- Lectures explaining the necessary theoretical concepts (2.2 ECTS) - Small-group problem-solving classes (2.5 ECTS) The objective of these sessions is to develop the following skills: - Understanding the statement of a problem (e.g., by drawing a diagram summarizing the main data of the statement) - Identifying the physical phenomenon and physical laws involved in the statement. - Developing strategies for problem-solving (e.g., dividing the problem into smaller "subproblems") - Being rigorous and careful in the use of mathematics necessary for problem-solving. - Be able to analyze whether the result obtained is reasonable (does the result make sense? Are the dimensions of the calculated physical magnitudes consistent?) - Laboratory sessions (0.8 ECTS) The main skills to be developed in this activity are: - Understanding that physics is an experimental science and that the laws presented theoretically in lectures can be reproduced in the laboratory. - Using scientific instrumentation and learning to be careful when handling scientific instruments. - Learning to carefully and rigorously acquire experimental data. - Learning the fundamentals of experimental data processing. - Writing a report reflecting the results of the experiment. - Critically analyzing the quality of the results obtained (has the intended objective of the experiment been achieved?) - Individual midterm exams (0.5 ECTS) - Tutoring sessions: one 1hour session per week for the large group and one 1hour session per week for the small group. - Final exam. In this course, students must not use artificial intelligence tools to complete assignments or exercises proposed by the professor. In the event that a student's use of AI leads to academic fraud by falsifying the results of an exam or assignment required to certify academic performance, the provisions of the Regulations of the Carlos III University of Madrid, partially implementing Law 3/2022, of February 24, on university coexistence, will apply.