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C06 Understands the basic concepts of Mathematics.
Chapter 1: Functions. The real line. Real functions of one variable. Main functions in Analysis and Economy. Limits and continuity. Economic modelling by means of functions and limits.
Chapter 2. Differentiation of functions. The derivative, pointwise rate of change in economic modelling, geometric interpretation. Computations of derivatives. Derivative and shape preserving properties of a function. L'Hôpitâl theorem.
Chapter 3. Integration of functions. Primitive of a function, indefinite integral and its properties. Computation of primitives. Definite integral and its properties. Applications of the definite integral.
Chapter 4. Matrices. Data representation by means of matrices. Basic definitions and matrix operations. Matrix power and matrix iterative models. Rank of a matrix. Determinant. Inverse matrix.
Chapter 5. Systems of linear equations. Vectors. Classification of systems of linear equations. Parametric expression of the solution of a linear system. Cramer's Rule and Gauss Elimination. Linear subspace. Basis, coordinates and dimensión for linear subspaces.
Chapter 6. Matrix diagonalization. Diagonalization process: eigenvalues, eigenvectors and characteristic polynomial. Interpretation of eigenvalues and eigenvectors and tendence in iterative matrix models. Tendency study in matrix models.
Mathematical software for solving problems corresponding to the theoretical content of the course.
Teaching Methodologies
M1a: Large Group Instruction: This includes lectures, the presentation of theory and general examples, and conferences.
M2a: Small Group Instruction: This involves seminars, debates, practical activities, and clarification of doubts.
Training Activities
| Activities |
Hours |
Relative Weight (%) |
On-site/Synchronous Presence (%) |
| A1a. Large Group Activities |
100 |
67 |
30 |
| A2a. Small Group Activities |
50 |
33 |
30 |
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A1: Large Group Lectures: These sessions will cover the theoretical aspects of the course, along with general practical examples to aid in understanding the theory.
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A2: Practical Group Sessions:
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15 in-class hours will be dedicated to problem-solving, with a special emphasis on economic applications.
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Another 15 in-class hours will be spent in the computer lab, where exercises will be solved using Mathematica software by Wolfram Research.
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Assessment
| Aspect |
Criteria |
Instrument |
Weight |
| Attendance and/or Participation in On-site and/or Virtual Activities |
10% |
||
| Theoretical Concepts of the Subject |
60% |
||
| Completion of Assignments, Cases, or Exercises |
10% |
||
| Lab/Field/ICT Tool Practices |
20% |
Detailed Information
Detailed Breakdown of Grades:
-
First Aspect (0 to 1 point): Participation in activities proposed by the instructors throughout the semester.
-
Second Aspect (0 to 6 points): Written exam covering the theoretical and applied aspects of the subject. The contribution of this part to the final grade is contingent on scoring over 30% on the exam (i.e., obtaining more than 1.8 points if the exam is out of 6, or more than 3 points if the exam is out of 10). If this 30% minimum is not met, this part will contribute 0 points to the final grade. A continuous assessment system may also be offered to earn these 6 points throughout the semester.
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Third Aspect (0 to 1 point): Participation in short quizzes in the theory classroom and/or computer lab proposed by the instructors throughout the semester.
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Fourth Aspect (0 to 2 points): Exam in the computer lab. A continuous assessment system may also be offered to earn these 2 points throughout the semester.
The final grade is obtained by summing the scores from the four detailed sections above.
All grades, except for the 6-point theory exam, are retained across all exam calls within the same academic year. For the Fourth Aspect (computer lab exam), the score from the most recently taken exam will prevail.
Evaluation Systems
| Assessment System |
Minimum Weight (%) |
Maximum Weight (%) |
| S1a. Attendance in on-site and/or virtual activities |
0.0 |
40.0 |
| S2a. Participation in on-site and/or virtual activities |
0.0 |
40.0 |
| S3a. Exam on theoretical and practical concepts of the subject |
0.0 |
80.0 |
| S4a. Completion of assignments, cases, or practical exercises |
0.0 |
80.0 |
- Essential Mathematics For Economic Analysis . Autor: Sydsæter, Knut.. Editorial: Pearson Education Limited.(C. Biblioteca)
- Student Solutions Manual . Autor: Larson, Ron. Editorial: Cengage Learning.(C. Biblioteca)
- Calculus: Una Y Varias Variabless. L. Salas, Einar Hille. Autor: Salas, Saturnino L.. Editorial: Reverté.(C. Biblioteca)
- Matemáticas Para La Economía: Álgebra Lineal Y Cálculo Diferencial. Autor: Jarne Jarne, Gloria. Editorial: McGraw-Hill/Interamericana de España.(C. Biblioteca)
- Problemas Resueltos De Álgebra Lineal. Autor: Arvesú Carballo, Jorge.. Editorial: Thomson-Paraninfo.(C. Biblioteca)
- Álgebra Lineal Con Métodos Elementales . Autor: Merino González, Luis M.. Editorial: Paraninfo.(C. Biblioteca)
- Essential Mathematics For Economic Analysis . Autor: Sydsæter, Knut.. Editorial: Pearson Education Limited.(C. Biblioteca)
- Matemáticas Aplicadas A La Administración Y A La Economía . Autor: Arya, Jagdish C.. Editorial: Pearson Educación.(C. Biblioteca)
- Cálculo De Una Variable. Autor: Bradley, Gerald L.. Editorial: Prentice Hall.(C. Biblioteca)
- Álgebra Lineal: Sus Aplicaciones En Economía, Ingenierías Y Otras Ciencias . Autor: García Cabello, Julia.. Editorial: Delta.(C. Biblioteca)
- Matemáticas Para El Éxito Empresarial . Autor: Fedriani Martel, Eugenio M.. Editorial: Pirámide.(C. Biblioteca)
- Matemáticas Para Administración Y Economía [Recurso Electrónico] . Autor: Haeussler, Ernest F.. Editorial: Pearson Educación.(C. Biblioteca)
- Álgebra Lineal Y Aplicaciones . Autor: Arvesú Carballo, Jorge.. Editorial: Síntesis.(C. Biblioteca)
- Matemáticas Empresariales: Ejercicios Planteados Y Resueltos. Autor: Editorial Centro de Estudios Ramón Areces. Editorial: 84-8004-531-0.
- Cálculo Para Administración Y Dirección De Empresas . Autor: Ediciones Académicas. Editorial: 9788496062917.
- Curso Práctico De Álgebra Lineal Para Economía Y Administración Y Dirección De Empresas / . Autor: Prieto Sáez, Emilio.. Editorial: Editorial universitaria Ramón Areces.(C. Biblioteca)
- Temas De Álgebra Lineal Para Administración Y Dirección De Empresas. Autor: Alberto Augusto Álvarez López, Emilio Prieto Sáez. Editorial: UNED.(C. Biblioteca)
- Cálculo Para Empresarios Y Economistas: Matemáticas Ii: Grado De Ade / . Autor: Ediciones Académicas. Editorial: 9788492477531.
- Calculus : Metric Version . Autor: Larson, Ron. Editorial: Brooks/Cole, Cengage Learning.(C. Biblioteca)
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