Titular Professors
Professors
Basic Mathematics.
The Learning outcomes of this subject are:
RA.01 Know how to discuss and solve linear systems, operate in a vector space and know how to work on a practical level with the concepts of dependence and linear independence, linear applications.
RA.02 Know how to use analytical and numerical tools to analyze real functions of one variable, with applications in scientific and technical questions.
RA.03 Learn to assess the degree of uncertainty in complex or non-deterministic phenomena, and to identify optimal solutions taking this uncertainty into account.
Linear systems.
Vector spaces.
Linear maps.
Functions.
Derivability.
Integration.
Probability.
Tools of mathematical support.
D1. Theoretical classes
Theory presentation by the teacher for the student to acquire knowledge. The teacher can provide support material and the student takes notes and / or completes support materials. The student can intervene either to resolve doubts and / or to answer the questions posed by the teacher.
D2. Problem classes and exercises
It involves solving problems and / or making decisions using the knowledge learned in theory. The teacher can invite the student to participate in class in order to assess the acquisition and / or interpretation of the concepts presented.
D3. Laboratory practices
Problem solving and / or decision making using the knowledge learned in theory. Specific equipment is used, such as a computer, or other materials from a laboratory or workshop.
Exams (50%)
Exercises, problems and practices (35%)
Participation in class (10%)
Portfolio (5%)
In ordinary call, the final grade of the course is calculated according to the expression:
NFinal = 0.50 * Nexamens + 0.35 * Nepp + 0.1 * Nparticipacio + 0.05 * Nportafoli
In order to apply this average, Nexamens must be equal to or greater than 3.5. Otherwise, the subject is not passed.
i. The exam mark (Nexamens) is obtained as 40% of the mark of the checkpoint (Npcontrol) and 60% of the mark of the final exam of the semester (Nexamenf). The mark of each of the exams must be equal to or greater than 3.5. So:
Nexamens = 0.4 * Npcontrol + 0.6 * Nexamens
Or
Nexamens = Nexamenf (whichever is better)
ii. If the exam mark (Nexamens) is not approved in the ordinary call (end of semester 2), then in July (extraordinary call) there is a retake exam (Nex_rec), in which case the exam mark is equal to the mark obtained in this retake.
Nexamens = Nex_rec
The final grade (NFinal) in July will be the best among:
NFinal = Nexamens
or
NFinal = 0.55 * Nexamens + 0.3 * Nepp + 0.1 * Nparticipacio + 0.05 * Nportafoli
2) The grade of Exercises, problems and practices (Nepp) will come from practical exercises (the practices) that will be carried out in groups of 2 or 3 people with Matlab.
3) Each Matlab practice will have a deadline.
Algebra:
"Álgebra lineal"; Stanley l. Grossman, José Job Flores Godoy; Séptima edición; McGrawHill, 2012
Álgebra Lineal para estudiantes de ingeniería y ciencias, Juan Carlos Del Valle Sotelo,
McGraw-Hill, 2012
Algebra lineal y sus aplicaciones, David C. Lay, Addison Wesley
Calculus:
Fonaments bàsics de matemàtiques. Professors de ciències bàsiques. Enginyeria i Arquitectura La Salle. 2009.
Cálculo I. Teoría y problemas. Alfonsa García et al. Editorial GLACSA, 1994
Cálculo superior, M. Spiegel, Schaum, McGraw-Hill.
Calculus demystified, S. G. Krantz, , McGraw-Hill.
Probability:
L. Vicent, R. Villalbí, "Probabilitat", edited by La Salle