Guías-E

1. General information

Course:

LINEAR ALGEBRA II

Code:

38505

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:

C2

Main language:

Second language:

Use of additional languages:

English Friendly:

Y

Web site:

Bilingual:

N

Lecturer: JAVIER SÁNCHEZ GONZÁLEZ - Group(s): 20

Building/Office

Department

Phone number

Email

Office hours

MATEMÁTICAS

Javier.SGonzalez@uclm.es

2. Pre-Requisites

These are those associated with standard subjects in a technological secondary school line, in addition to a certain degree of maturity in the contents of the mate subject Linear Algebra I.

3. Justification in the curriculum, relation to other subjects and to the profession

Linear Algebra is probably one of those basic disciplines that are at the foundation of all Mathematics and Science. Its concepts and results permeate methods in more advanced fields like Differential Equations or Functional Analysis to name two of the most representative. Its relevance is such that other areas cannot be dispensed with its support.

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: Linear functions and dual spaces
Unit 2: Endomorphisms and their structure
Unit 3: Bilinear and quadratic forms
Unit 4: Orthogonality
Unit 5: Euclidean vector spaces
Unit 6: Tensor Algebra

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		1.76	44	Y	N
Problem solving and/or case studies [ON-SITE]	Project/Problem Based Learning (PBL)		0.6	15	Y	N
Computer room practice [ON-SITE]	Practical or hands-on activities		0.04	1	Y	N
Study and Exam Preparation [OFF-SITE]	Self-study		3.6	90	Y	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%
Progress Tests	20.00%	0.00%
Assessment of problem solving and/or case studies	10.00%	10.00%
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:

These are precisely expressed in the evaluation method.
Non-continuous evaluation:

These are precisely expressed in the evaluation method.

Specifications for the resit/retake exam:

Treatment for the extraordinary evaluation is similar to the ordinary one.

Specifications for the second resit / retake exam:

Treatment for the extraordinary evaluation is similar to the ordinary one.

9. Assignments, course calendar and important dates

Not related to the syllabus/contents
Hours	hours
Class Attendance (theory) [PRESENCIAL][Lectures]	44
Problem solving and/or case studies [PRESENCIAL][Project/Problem Based Learning (PBL)]	15
Computer room practice [PRESENCIAL][Practical or hands-on activities]	1
Study and Exam Preparation [AUTÓNOMA][Self-study]	90

Global activity
Activities	hours

10. Bibliography and Sources

Author(s)	Title	Book/Journal	Citv	Publishing house	Year	Description
Juan de Burgos Román	Álgebra Lineal y Geometría Cartesiana	Libro		McGraw-Hill España	2013	Libro básico esencial y completo para las necesidades de esta materia.
K. Hoffman, R. Kunze	Linear Algebra	Libro	Englewood Cliffs, NJ, USA	Prentice Hall, Inc	1971	Texto esencial para esta materia.
M. Castellet, I. Llerena	Álgebra Lineal y Geometría	Libro	Barcelona	Reverté, UAB	2000	Referencia obligada para esta asignatura.