Degree | Type | Year | Semester |
---|---|---|---|
2500097 Physics | FB | 1 | 1 |
Although this subject has no special prerequisites, it is recommended to have a clear understanding of the contents of mathematics in high school.
The objectives of the subject will be obtained indirectly in the following way:
1. Learning the language of mathematics formalized in set theory (without entering into the foundations).
2. Learning to manipulate basic algebraic structures: groups, rings, fields, vector spaces; and also homomorphisms between these structures.
3. Learning the techniques of matrix manipulation, computing determinants, the arithmetic of polynomials, the calculation of their roots, and their applications in the study of linear Algebra.
And all this accompanied by the development of logical reasoning, which is expected by teaching the demonstrations of many of the theorems of the course.
Annotation: Within the schedule set by the centre or degree programme, 15 minutes of one class will be reserved for students to evaluate their lecturers and their courses or modules through questionnaires.
Title | Hours | ECTS | Learning Outcomes |
---|---|---|---|
Type: Directed | |||
Problem class | 21 | 0.84 | 10 |
Theory lessons | 29 | 1.16 | 2, 5, 10 |
Type: Autonomous | |||
Problem handouts | 20 | 0.8 | 10, 7 |
Problem solving | 50 | 2 | 1, 3, 4, 5, 6, 9, 13, 11, 8 |
Study of the theory | 21 | 0.84 | 10 |
40% of the mark of the first partial exam P1,
45% of the mark of the second partial exam P2 and
15% of the mark from problems handaouts E.
In other words that is,
Final Mark = 0.15 * E + 0.4 * P1 + 0.45 * P2
In order to pass the subject, the student must obtain a final grade of more than 5 and must have a mark of the first partial and second partial exams greater than 3 (out of 10).
In case the student does not pass the subject with the previous evaluations, or wants to improve the note (renouncing the one already obtained), he can attend a second chance examination, in which the two partials will be evaluated together.
In order to be able to submit to this exam, the student must have previously submitted to the partial tests.
A student will be considered not presented if he does not appear in any of the partial tests.
The dates of the different evaluation tests or the deadlines for the delivery of problems will be announced properly.
Title | Weighting | Hours | ECTS | Learning Outcomes |
---|---|---|---|---|
First partial exam | 40% | 2 | 0.08 | 2, 5, 6, 10, 7, 9, 12, 8 |
Problem handouts | 15% | 1 | 0.04 | 1, 4, 6, 13, 12, 11, 8 |
Second chance examination | 85% | 3 | 0.12 | 1, 2, 3, 4, 5, 6, 10, 7, 9, 13, 11, 8 |
Second partial exam | 45% | 3 | 0.12 | 1, 2, 3, 4, 5, 6, 10, 7, 9, 13, 11, 8 |
In addition to the books that are suggested below, the Faculty of Science has an exceptional bibliographical fund where students can find multiple texts that cover and complement the contents of the subject.
Main books.
F. Cedó i A. Reventós, Geometria plana i àlgebra lineal, Manuals de la UAB, 39, 2004.
J. Dorronsoro y E. Hernández, Números, grupos y anillos, Addison-Wesley/ Universidad Autónoma de Madrid, Madrid, 1996.
E. Hernández, Álgebra Lineal y Geometría, Addison-Wesley, 2012.
A. Kostrikin and Y. Manin, Linear Algebra and Geometry, Gordon and Breach Science Publishers, Amsterdam, 1989.
L. Merino y E. Santos, Álgebra Lineal con métodos elementales, Ediciones paraninfo, 2006.
E. Nart, Notes d'àlgebra lineal, Materials de la UAB, 130
Books for problem solving
F. Cedó i V. Gisin, Àlgebra Bàsica, Manuals de la UAB, 1997.
J. García Lapresta, M. Panero, J. Martínez, J. Rincón y C. Palmero, Tests de Álgebra lineal, Editorial AC, Madrid, 1992.
J. Rojo y I. Martín, Ejercicios y Problemas de Álgebra Lineal, Mc. Graw-Hill, Madrid 1994.
We will use the system ACME in order to practice and evaluate student's deliveries.