Educational guide | ||||||||||||||||||||||||||||||||||||||||
IDENTIFYING DATA | 2023_24 | |||||||||||||||||||||||||||||||||||||||
Subject | ALGEBRA | Code | 00809001 | |||||||||||||||||||||||||||||||||||||
Study programme |
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Descriptors | Credit. | Type | Year | Period | ||||||||||||||||||||||||||||||||||||
6 | Basic Training | First | First |
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Language |
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Prerequisites | ||||||||||||||||||||||||||||||||||||||||
Department | MATEMATICAS |
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Coordinador |
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asuac@unileon.es rsans@unileon.es |
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Lecturers |
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Web | http:// | |||||||||||||||||||||||||||||||||||||||
General description | ||||||||||||||||||||||||||||||||||||||||
Tribunales de Revisión |
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Competencias |
Code | |
A16279 | |
A16280 | |
A16281 | |
A16282 | |
A16283 | |
A16284 | |
A16285 | |
A16286 | |
B5121 | |
B5122 | |
B5125 | |
B5131 | |
B5132 | |
B5134 | |
B5141 | |
B5142 | |
C1 | CMECES1 That students have demonstrated possession and understanding of knowledge in an area of study that is based on general secondary education, and is usually found at a level that, although supported by advanced textbooks, also includes some aspects that involve knowledge from the cutting edge of their field of study |
C4 | CMECES4 That students can transmit information, ideas, problems and solutions to both a specialised and non-specialised audience |
C5 | CMECES5 That students have developed those learning skills necessary to undertake further studies with a high degree of autonomy |
Learning aims |
Competences | |||
A16279 A16280 |
B5121 B5134 |
C1 |
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A16279 A16281 |
B5132 B5141 |
C5 |
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A16279 A16282 |
B5121 B5134 |
C1 |
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A16279 A16283 |
B5121 B5134 |
C1 |
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A16279 A16284 |
B5132 B5141 |
C5 |
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A16279 A16285 |
B5132 B5141 |
C5 |
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A16279 A16286 |
B5121 B5134 |
C1 |
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C4 |
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B5122 |
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B5125 |
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B5131 |
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B5142 |
Contents |
Topic | Sub-topic |
Block I. Linear systems and matrices | Chapter 1. Matrices and determinants Chapter 2. Linear systems |
Block II. Vector Spaces | Chapter 3. Vector spaces Chapter 4. Linear maps |
Block III. Matrix diagonalization | Chapter 5. Matrix diagonalization |
Block IV. Affine and euclidean geometry | Chapter 6. Affine geometry Chapter 7. Euclidean geometry |
Block V. Differential geometry | Chapter 8. Differential geometry |
Planning |
Methodologies :: Tests | |||||||||
Class hours | Hours outside the classroom | Total hours | |||||||
Problem solving, classroom exercises | 24 | 24 | 48 | ||||||
Personal tuition | 0 | 3 | 3 | ||||||
Practicals using information and communication technologies (ICTs) in computer rooms | 6 | 12 | 18 | ||||||
Lecture | 24 | 48 | 72 | ||||||
Mixed tests | 6 | 3 | 9 | ||||||
(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students. |
Methodologies |
Description | |
Problem solving, classroom exercises | |
Personal tuition | |
Practicals using information and communication technologies (ICTs) in computer rooms | |
Lecture |
Personalized attention |
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Assessment |
Description | Qualification | ||
Problem solving, classroom exercises | 5% | ||
Lecture | 5% | ||
Practicals using information and communication technologies (ICTs) in computer rooms | 20% | ||
Mixed tests | 70% | ||
Other comments and second call | |||
There will be continuous assessment. The student will pass the course if he/she scores at least 5 out of 10 points. It is required a score of at leat 40% in each of the assessment items. To this aim, the professor will take into account the continuous work of the students and their results in the tests and practical exams, to see how the competences are acquired by the student. In particular, the assessment takes into account:
During the tests the student is not allowed to use any material, unless the professor explicitly allows it. It is forbidden to use cell phones or any other electronic devices while doing the tests. If a student has notes, books or any other material or device not allowed during the tests, the student will not be able to finish the test and will be expelled from the test and will not pass the exam. Moreover, the Academic Authorities will be informed, so that the normative on Plagiarism and Fraud can be applied. Second call.Those students not passing the course on the first call. They will have an exam that could be divided in two parts. The tests passed in the first call could be taken into account for the grade of the second call. To pass the course in the second call the student needs to score at least 5 out of 10 points. |
Sources of information |
Access to Recommended Bibliography in the Catalog ULE |
Basic |
G. Strang, Linear algebra and its applications, Thomson, 2006 J. de Burgos, Álgebra lineal, McGraw Hill, 1994 L.M. Merino y E. Santos, Álgebra lineal con métodos elementales, Thomson, 2007 M. Carriegos y R. Santamaría, Geometría 201, ULE, 2005 L.A. Cordero, M. Fernández y A. Gray, Geometría diferencial de curvas y superficies con Mathematica, Addison-Wesley, 1995 M. Carriegos, A. de Francisco y R. Santamaría, Matemáticas básicas instrumentales, ULE, 2006 A. de la Villa, Problemas de Álgebra, CLAGSA. Madrid, 2010 |
Complementary | |
Recommendations |
Subjects that are recommended to be taken simultaneously | ||
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Other comments | |
Once the date of a test is agreed, they cannot be changed. If a student does not attend a test, a score of zero will be assigned and taken into account to compute the global grade. It is recommended that the students have taken mathematics at "Segundo de Bachillerato" level. |