ECTS credits ECTS credits: 6
ECTS Hours Rules/Memories Student's work ECTS: 99 Hours of tutorials: 3 Expository Class: 24 Interactive Classroom: 24 Total: 150
Use languages Spanish, Galician
Type: Ordinary Degree Subject RD 1393/2007 - 822/2021
Center Faculty of Business Administration and Management
Call: First Semester
Teaching: Sin Docencia (En Extinción)
Enrolment: No Matriculable (Sólo Planes en Extinción)
With this program it is introducing the student to the basics of matrix Algebra and differential calculus of one and several variables, in order to provide it with the necessary instruments for the development of those subjects that have a quantitative.
I LINEAR ALGEBRA
Theme I: VECTOR SPACES
1. The vector space Rn.
2. Dependence on linear independence.
3. Basis and dimension.
Theme II: MATRICES AND LINEAR APPLICATIONS
1. Review of the algebra of matrices: basic definitions.
2. Matrix operations. Range and inverse of a matrix.
3. Definition of linear application.
4. Matrix associated to a linear application.
Theme III: DETERMINANTS.
1. Fundamental concepts. Properties.
2. Inverse matrix . Calculation.
Theme IV: SYSTEMS OF LINEAR EQUATIONS.
1. Introduction.
2. Cramer system.
3. Homogeneous systems.
4. General case.
II. CALCULATING DIFFERENTIAL
Theme V: EUCLIDEAN SPACE n-DIMENSIONAL
1. Domestic product, standard and Euclidean distance.
2. Topological notions in Rn and R.
3. Sequences of real numbers. Limits.
Theme VI: REAL FUNCTIONS OF A REAL VARIABLE : LIMITS AND CONTINUITY.
1. Real functions of a real variable.
2. Concept of limit of a function.
3. Operations with limits and calculation of limits.
4. Continuity of a function.
5. Specific theorems of real functions of real variable.
Theme VII: REAL FUNCTIONS OF A REAL VARIABLE DIFFERENTIABLE.
1. Derived from a function at a point. Geometric interpretation of the derivative.
2. Calculation of derivatives. Rules of derivation.
3. Concept of the differential of a function at a point.
4. Concerning derivable functions theorems: Rolle, Value Means, L' Hôpital's Rule.
5. Successive derivatives. Functions of class n (Cn) Taylor Formula.
6. Study of the curve of a function: growth, decrease, ends, concavity, convexity and turning points.
Basic and additional bibliography:
- Alegre Escolano, P. e outros (1995), Matemáticas empresariales. Ed. AC
- Arya, Larner; Matemáticas Aplicadas a la Administración y a la Economía. Ed. Prentice-Hall.
- Caballero, R.. e outros (1993). Métodos matemáticos para la Economía. Ed. McGraw-Hill.
- Camacho, E. e outros (2005). Fundamentos de Cálculo para Economía y Empresa. Ed. Delta.
- Chiang, A.C. (1987). Métodos fundamentales de Economía matemática. Ed. McGraw-Hill.
- Jarne, G.; Perz-Grasa, I.; Minguillón, E.(1997): Matemáticas para la Economía. Álgebra Lineal y Cálculo Diferencial. Editorial McGraw-Hill.
- López Cachero, M. (1994). Curso básico de matemáticas para la economía y dirección de empresas II. Ejercicios. Ed. Pirámide.
- Pallas,J; Miranda, F; Ramos, A.; De Miguel, J.C.(2003): Manual de Álgebra Lineal. Tórculo Edicións.
- Sydsaeter, K. e Hammond, P. (1998), Matemáticas para el análisis económico. Ed. Prentice-Hall.
In the following books will have a good and extensive selection of solved problems of linear algebra and differential calculus
-Arvesú, Marcellán, Sánchez; Problemas resueltos de Álgebra Lineal. Ed. Thomson.
-García, Ruiz, Saiz; Álgebra. Teoría y Ejercicios. Ed. Paraninfo.
- Calvo, Escribano, Fernández y otros; Problemas resueltos de Matemáticas aplicadas a la Economía y la Empresa. Ed, AC.
-Basics of mathematics to the economy: A virtual and open text. http://eco-mat.ccee.uma.es/libro/libro.htm
Basic and general:
CB1 - That students have demonstrated to possess and understand knowledge in an area of study that part of the base of the
general secondary education, and is often found at a level that, although it is supported by advanced textbooks, includes also
some aspects that involve knowledge from the forefront of their field of study
CB2 - Students know how to apply their knowledge to their work or vocation in a professional manner and possess the competencies that are often shown through the preparation and defense of arguments and the resolution of problems within their field of study
CB3- Students to have the ability to gather and interpret relevant data (typically within their field of study) to issue judgements that include a reflection on issues of such social, scientific or ethical
CB4 - Students can pass information , ideas, problems and solutions to an audience both specialized and not-specialized
CB5 - Students have developed those learning skills needed to undertake further studies in with a high degree of autonomy
CG5 - Own general knowledge and learning skills necessary to continue studying and to undertake studies specialized in different areas of the company and other related areas , with a high degree of autonomy.
Cross:
CT1 - - Analysis and synthesis
CT6 - - Resolution of problems.
CT9 -- Autonomy in learning
Specific:
C1 - Fundamentals of linear algebra, differential and integral calculus, mathematical optimization and financial operations
Math
D8 - Derive relevant information impossible to recognize by non-professional data
D9 - Usually using communications and information technology in all of their professional performance
D10 - Professional criteria based on the management of technical instruments applied to the analysis of problems
This subject has no assigned teaching because it is a dying curriculum. Students must prepare the subject autonomously, being guided by the teaching staff during the hours allocated for tutorials, which will serve to resolve doubts and solve problems they face in the teaching-learning process.
The evaluation system will consist of a final content test in which the learning results will be assessed. It will represent 100% of the grade.
In cases of fraudulent completion of exercises or tests, the provisions of the "Regulations for the evaluation of academic performance of students and the review of qualifications" will apply.
The subject has 6 ECTS which are equivalent to 150 hours.
As general advice for learning and overcoming this subject:
-We consider that a minimum of 15 hours per week of personal work is needed to assimilate the contents of the subject and to do exercises; although this will depend largely on the abilities and prior knowledge of each student.
- It is advisable to work on the subject and understand the contents little by little.
-You must learn to differentiate what is actually study and memorization from what is assimilation and understanding of the subject. To master concepts and definitions, it is not enough to learn them by heart, but rather it is necessary to delve deeper into their meaning by carrying out the corresponding personal work.
- The topics that make up the different blocks are closely related to each other and it is necessary for learning to be progressive, which means understanding previous concepts in order to study new ones.
- If the student has difficulty with the mathematical formalization of the concepts, it is advisable that he first try to understand them intuitively so that he can later become familiar with their mathematical expression.
- This subject, and especially those new concepts that involve more difficulty, should be studied with pen and paper. We consider it essential, for an ideal assimilation of the subject and the development of intuition, to know how to write correctly in mathematical language and to represent geometrically, to the extent possible, all those concepts and situations that are formulated. Geometrically visualizing any new concept will be of great help to your understanding and improves your logical reasoning ability.
The course material will be available to students on the virtual campus.
Modesta Campo Andión
- Department
- Quantitative Economy
- Area
- Quantitative Economics (USC-specific)
- Phone
- 982824411
- Category
- Professor: University School Lecturer
| 01.19.2026 09:00-12:00 | Grupo de examen | Main Hall |
| 06.16.2026 09:00-12:00 | Grupo de examen | Main Hall |