1. General information
Course:
LINEAR ALGEBRA I
Code:
38504
Type:
BASIC
ECTS credits:
6
Degree:
423 - UNDERGRADUATE DEGREE IN MATHEMATICS
Academic year:
2023-24
Center:
603 - E.T.S. CIVIL ENGINEERS OF CR
Group(s):
20
Year:
1
Duration:
First semester
Main language:
Spanish
Second language:
English
Use of additional languages:
English Friendly:
Y
Web site:
Bilingual:
N
Lecturer:
ROSA EVA PRUNEDA GONZALEZ
- Group(s):
20
Building/Office
Department
Phone number
Email
Office hours
Politecnico 2-D33
MATEMÁTICAS
3292
rosa.pruneda@uclm.es
Tuesday and Thursday from 16:00 to 18:00.
From Monday to Thursday from 11:30 to 12:00.
2. Pre-Requisites
To achieve the learning objectives of the subject, knowledge and skills are required, which are assumed to be guaranteed in the prior education before accessing the University. Specifically, basic knowledge of geometry and trigonometry, elementary mathematical operations (powers, logarithms, fractions), polynomials, matrices, differentiation, integration, and fundamentals of graphical representation of functions are necessary.
Regarding basic skills in handling instruments, basic computer skills are required: accessing computers, file management, directories, etc.
3. Justification in the curriculum, relation to other subjects and to the profession
This subject covers the study of linear systems of equations, matrix calculus, diagonalization, determinants, vector spaces, and linear transformations. These concepts are fundamental in modeling many real-world problems and are necessary for other scientific or technological disciplines. The contents of this subject are essential for more advanced courses such as Linear Algebra II, Differential Equations, and Functional Analysis, among others.
4. Degree competences achieved in this course
| Course competences | |
|---|---|
| Code | Description |
| INFO-2023 | |
5. Objectives or Learning Outcomes
| Course learning outcomes | |
|---|---|
| Description | |
| Additional outcomes | |
| Not established. |
6. Units / Contents
-
Unit 1: Complex numbers.
-
Unit 2: Matrices and systems of linear equations.
-
Unit 3: Determinants.
-
Unit 4: Vector spaces.
-
Unit 5: Linear transformations.
-
Unit 6: Diagonalization.
7. Activities, Units/Modules and Methodology
| Training Activity | Methodology | Related Competences (only degrees before RD 822/2021) | ECTS | Hours | As | Com | Description | |
| Class Attendance (theory) [ON-SITE] | Lectures | INFO-2023 | 1.44 | 36 | N | N | ||
| Problem solving and/or case studies [ON-SITE] | Combination of methods | INFO-2023 | 0.6 | 15 | N | N | ||
| Computer room practice [ON-SITE] | Practical or hands-on activities | INFO-2023 | 0.16 | 4 | Y | N | ||
| Final test [ON-SITE] | Assessment tests | INFO-2023 | 0.12 | 3 | Y | Y | ||
| Progress test [ON-SITE] | Assessment tests | INFO-2023 | 0.08 | 2 | Y | N | ||
| Study and Exam Preparation [OFF-SITE] | Combination of methods | INFO-2023 | 3.6 | 90 | N | N | ||
| Total: | 6 | 150 | ||||||
| Total credits of in-class work: 2.4 | Total class time hours: 60 | |||||||
| Total credits of out of class work: 3.6 | Total hours of out of class work: 90 | |||||||
As: Assessable training activity Com: Training activity of compulsory overcoming (It will be essential to overcome both continuous and non-continuous assessment).
8. Evaluation criteria and Grading System
| Evaluation System | Continuous assessment | Non-continuous evaluation * | Description |
| Final test | 70.00% | 90.00% | Exam in ordinary or extraordinary session. |
| Progress Tests | 20.00% | 0.00% | Progress tests proposed throughout the course. |
| Assessment of activities done in the computer labs | 10.00% | 10.00% | Computer-based test. |
| Total: | 100.00% | 100.00% |
According to art. 4 of the UCLM Student Evaluation Regulations, it must be provided to students who cannot regularly attend face-to-face training activities the passing of the subject, having the right (art. 12.2) to be globally graded, in 2 annual calls per subject , an ordinary and an extraordinary one (evaluating 100% of the competences).
Evaluation criteria for the final exam:
-
Continuous assessment:The evaluation is carried out through a final assessment, which consists of an exam (70% of the grade), progress tests conducted during the course (20% of the grade), and computer-based practical assignments conducted during the course (10% of the grade). A minimum grade of 4 out of 10 is required in the final exam for the overall assessment. The grades for the exam, progress tests, and/or computer-based practical assignments that are equal to or greater than 4 out of 10 are retained for the extraordinary assessment.
-
Non-continuous evaluation:The student must complete a comprehensive assessment that includes all the course content and competencies (90% of the grade) and computer-based practical assignments (10% of the grade). To pass the course, a minimum grade of 5 out of 10 must be obtained, which will account for 100% of the final grade.
By default, students are enrolled in the continuous assessment system.
Specifications for the resit/retake exam:
The same criteria as in the Ordinary assessment apply. The grades for the progress tests can be recovered through the exam, and the grades for the computer-based practical assignments can be recovered through a computer-based test.
Specifications for the second resit / retake exam:
The student must take a comprehensive test that will include all the content and competencies of the course. To pass the subject, a minimum grade of 5 out of 10 must be obtained, which will account for 100% of their final grade.
9. Assignments, course calendar and important dates
| Not related to the syllabus/contents | |
|---|---|
| Hours | hours |
| Unit 1 (de 6): Complex numbers. | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 5 |
| Problem solving and/or case studies [PRESENCIAL][Combination of methods] | 2 |
| Computer room practice [PRESENCIAL][Practical or hands-on activities] | 1.4 |
| Final test [PRESENCIAL][Assessment tests] | .5 |
| Progress test [PRESENCIAL][Assessment tests] | .2 |
| Study and Exam Preparation [AUTÓNOMA][Combination of methods] | 15 |
| Unit 2 (de 6): Matrices and systems of linear equations. | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 9 |
| Problem solving and/or case studies [PRESENCIAL][Combination of methods] | 5 |
| Computer room practice [PRESENCIAL][Practical or hands-on activities] | .84 |
| Final test [PRESENCIAL][Assessment tests] | .5 |
| Progress test [PRESENCIAL][Assessment tests] | .5 |
| Study and Exam Preparation [AUTÓNOMA][Combination of methods] | 15 |
| Unit 3 (de 6): Determinants. | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 6 |
| Problem solving and/or case studies [PRESENCIAL][Combination of methods] | 3 |
| Computer room practice [PRESENCIAL][Practical or hands-on activities] | .5 |
| Final test [PRESENCIAL][Assessment tests] | .5 |
| Progress test [PRESENCIAL][Assessment tests] | .5 |
| Study and Exam Preparation [AUTÓNOMA][Combination of methods] | 15 |
| Unit 4 (de 6): Vector spaces. | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 5 |
| Problem solving and/or case studies [PRESENCIAL][Combination of methods] | 1.5 |
| Computer room practice [PRESENCIAL][Practical or hands-on activities] | .42 |
| Final test [PRESENCIAL][Assessment tests] | .5 |
| Progress test [PRESENCIAL][Assessment tests] | .3 |
| Study and Exam Preparation [AUTÓNOMA][Combination of methods] | 15 |
| Unit 5 (de 6): Linear transformations. | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 6 |
| Problem solving and/or case studies [PRESENCIAL][Combination of methods] | 2.3 |
| Computer room practice [PRESENCIAL][Practical or hands-on activities] | .42 |
| Final test [PRESENCIAL][Assessment tests] | .5 |
| Progress test [PRESENCIAL][Assessment tests] | .2 |
| Study and Exam Preparation [AUTÓNOMA][Combination of methods] | 15 |
| Unit 6 (de 6): Diagonalization. | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 5 |
| Problem solving and/or case studies [PRESENCIAL][Combination of methods] | 1.2 |
| Computer room practice [PRESENCIAL][Practical or hands-on activities] | .42 |
| Final test [PRESENCIAL][Assessment tests] | .5 |
| Progress test [PRESENCIAL][Assessment tests] | .3 |
| Study and Exam Preparation [AUTÓNOMA][Combination of methods] | 15 |
| Global activity | |
|---|---|
| Activities | hours |
10. Bibliography and Sources
