Titular Professors
Elementary calculus.
Students attending this course have to achieve the following skills and knowledge:
1. Capacity for analysis and synthesis.
2. Basic general knowledge on the subject under study.
3. Solve problems successfully in physics.
4. Capacity to apply knowledge into practice.
5. Comprehension and domain over basic concepts about mechanic general laws, fields and waves, electromagnetism and its application for solving engineering problems.
1. Vector analysis.
1.1- Scalars and vectors.
1.2- Elementary vector algebra.
1.3- Vector space. Base and components.
1.4- Scalar product.
1.5- Vector product.
1.6- Derivative of a vector with respect to a parameter.
2. Basic mechanics. Newtons laws. Aplications.
2.1- Newtons laws.
2.2- Examples of forces.
2.3- Work and energy.
2.4- Energy conservation.
2.5- Rigid solid.
3. Simple harmonic oscillator.
3.1- Hookes law. Elastic potential energy.
3.2- Simple harmonic movement. Equation of movement.
3.3- Energy of the harmonic oscillator.
3.4- Oscillations around an equilibrium point.
3.5- Analogy with LC circuit.
3.6- Springs association.
4. Damped oscillations
4.1- Friction in a fluid.
4.2- Equation of the damped oscillator. Solutions.
4.3- Energy.
4.4- Analogy with RLC circuit.
5. Field theory.
5.1- Scalar and vectori fields.
5.2- Equipotencial surfaces and field lines.
5.3- Differential operations: gradient, divergency, rotational and laplacian.
5.4- Flow of a vector field through a surface.
5.5- Circulation of a vector field along a curve.
5.6- Gauss and Stokes theorems.
6. Electric field.
6.1. Electric charge and Coulombs law.
6.2- Electric field.
6.3- Gauss law.
6.4- Examples of electric fields.
7. Electric potential energy and potential.
7.1- Conservation of the electric field.
7.2- Electric potential.
7.3- Work and potential electric energy.
7.4- Laplace and Poissons equations.
7.5- Integral and differential relations between electric field and electric potential.
7.6- Examples of electric potential calculation.
8. Conductors and capacitors. Capacity.
8.1- Conductors and insulators.
8.2- Capacitors.
9. Magnetic field.
9.1- Force and magnetic field.
9.2- Magnetic field created by a charge in movement.
9.3- Lorentz force.
9.4- Aplications to research.
9.5- Force on a current thread due to an external magnetic field.
9.6- Magnetic field created by currents. Biot-Savarts law.
9.7- Amperes law. Flow of a magnetic field on a surface.
9.8- Maxwells equations.
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The course´s methodology is based on magisterial classes, problem classes and the flipped classroom.
During the magisterial classes the teacher develops the different aspects of the subject and solves problems related with them. Each part has associated a set of problems that are solved on the blackboard in order to show the student the right procedures and methods needed to successfully work out and understand their solution. Additional homework is also proposed and discussed the day after. Other sessions are reserved to present problems that the student must try to solve there, taking part on the discussion involved.
To improve the student´s achievement level, the students may have personalized tutorial sessions with the professor. They may ask questions related to the subject´s themes or any other aspect related with it (study methods, review additional problems, etc.)
A set of solved problems, taken from exams of previous years, is also available. Each problem is discussed in detail and every aspect analyzed in depth, as the main goal was to write a practical guide of study.
The course has two different but complementary parts, consisting in theoretical and practical lessons. Practice is meant to serve as a complement to help the student understand the formal aspects of the subject. Both theoretical and practical parts are evaluated together in order to determine whether the student is able to use formal theoretical knowledge to find proper solutions to real life problems of physics.
Students are evaluated through
- Exams.
- Exercices done at class.
- Homework.
- Presentations and participation in class.
Global Evaluation System
- The two semesters of the subject have to be passed separately.
- The grade of each semester will be calculated taking into account the highest of:
a) The 70% of the exam´s grade (Ex_Grade) plus the 30% of the continuous evaluation (CE_Grade) only if the exam´s grade (Ex_Grade) is higher than 3,5.
b) The exam´s grade (Ex_Grade).
- Exceptionally, the semester's grade can be equal to the continuous assessmen score (CE_Grade), including midterm, if the student has done all activities and the score is equal or above 5 for all of them. In this case, there is no need to do the exam of January/June.
- The exams done in the midterm can release the contents evaluated at the ordinary call exam if the score obtained is at least five (5).
- Students who have failed the ordinary exam must take the extraordinary exams of the failed semesters. In this case, the final grade of each semester will be the best grade obtained with the following calculus:
a) The 70% of the recovery exam´s grade plus the 30% of the correspondent semester´s continuous evaluation only if the recovery exam´s grade is equal to or higher than 3,5.
b) 100% of the recovery exam.
Continuous Evaluation System
- There will be a minim of four grades per semester. Evaluation activities can be such as:
- Results of the quizzes done in class or through the eStudy.
- Hand in proposed exercises to be solved in class.
- Hand in proposed exercises to be solved at home.
- Participation in forums and activities and the eStudy.
- Attendance, attitude and participation in class.
- Works proposed by the professor aimed to amplify and deepen in the knowledge acquired in class.
- Others.
- The continuous evaluation grade will be published twice per semester (once in the mid-term so it can be an orientation, and at the end of the course, the definitive grade). The grade consist in a numeric grade over 10.
Objective 1
Students must demonstrate to have a fundamental knowledge of the subject.
Objective 2
Students must demonstrate the ability to recognize and analyze the essential points of any problem related to the subject.
Objective 3
Students should be able to pose, develop and solve specific problems related to the field of physics.
[1] Paul A. Tipler, Gene Mosca, Física para la ciencia y la tecnología, Ed. Reverté, 6ª ed. 2010
[2] Froilán Maraña, Apunts de Física, Enginyeria i Arquitectura La Salle 2001
[1] Simón Ramo, John R. Whinnery, Theodore Van Duzer, Campos y Ondas: Aplicaciones a las comunicaciones electrónicas, Ed. Pirámide, 1974
[2] Reitz, Milford y Christy, Fundamentos de la Teoría Electromagnética, Ed. Hispanoamericana, 1969
[3] Richard P. Feynman, Física, Ed. Bilingua, 1964
[4] Paul A. Tipler, Física, Ed. Reverté