- Name of course: Mathematics I
- Academic year: 2009-10 Study year: 1st Trimester: 1st
- Degree: ECO/ADE/IE Course code:
- Number of ECTS credits: 5 Hours of dedication: 125
- Language of instruction: English
- Professors: Alejandra Cabañas, Gloria Garcia, Angel Gil, Diego Ruíz, Xavier Taixés, Ramon Villanova
1. Presentation of course
Maths I is conceived as an introductory course on basic concepts, hence it is located in the first trimester of the first year courses.
It is the first of a sequence of three mathematics courses to be taken during the first year. The student begins to acquire competences to tackle situations that require a formal mathematical treatment.
During the course, the use of mathematical language and the acquisition of an adequate working method are enforced, which are especially useful for the modelling of economic situations. In particular, the fundamental aspects of mathematical calculus for functions of one real variable (with optimization) and of linear algebra commonly used in economics are developed. Thus, it is a course that provides the basic mathematical tools to be used in modelling problems in economics and business.
2. Competences to be acquired
|
General Competences |
Specific Competences |
|
Instrumental 1. Ability to analyze and synthesise 2. Ability to organize and plan 3. General basic knowledge 4. Problem solving 5. Written and spoken capabilities Interpersonal 6. Criticism. Systemic 7. Research abilities 8. Learning capacities 9. Autonomous work 10. Ability to generate new ideas (creativity) Other 11. Written and oral communication abilities using specialized |
1. Model formalization for different settings through mathematical language. 2. Solutions of mathematical models. 3. Knowledge and applications of basic tools in mathematical analysis and linear algebra |
3. Content
Block 1. Functions of one real variable
Block 2. Differentiation
Block 3. Optimization
Block 4. Integration
Block 5. Linear algebra
Block 6. Simultaneous linear equations
4. Evaluation
The grading is based in the following three aspects.
-Tests to be taken during the "problem resolution seminars" (PRS). Three tests will be delivered during the course, with no previous warning, with a duration of 30 minutes. They will consist on two problems of the same kind as the ones studied during the SRP. Each test will count 5% of the final grading.
- Grading associated to the PRS. Participation in the seminars and the quality of individual problem lists delivered during the PRS will be considered. It counts 20% of the final grade.
-Final Exam. It is a comprehensive examination on all theoretical and practical aspects seen along the course. It counts 65% of the final grade. In order to pass the course, a minimum of 3.5 / 10 in this exam is required.
For the extraordinary September examination, grading will be computed as 80% for the September examination and 20% for the PRS grading obtained during the course.
5. References
Text book
SYDSAETER, K.; HAMMOND, P. J. Mathematics for Economic Analysis. Englewood Cliffs, N.J.: Prentice Hall, cop. 1995.
Other references
TAN, S. T. Matemáticas para Administración y Economía. International Thomson, 1998.
LARSON, R. E.; HOSTETLER, R. P.; EDWARDS, B. H. Cálculo y geometría analítica. Vol. 1. Madrid: McGraw-Hill, 1999. 6a. ed.
6. Methodology
Students are supposed to do the following weekly assignments:
· Individual reading of the scripts before the theoretical sessions.
· Attending theoretical sessions
· Personal study, solved problems, careful reading of the text book.
· Before attending PRS, answer MOODLE questionnaires (internet)
· Attending PRS and delivering the assigned problems.
· Comparing their solutions to problems with those published by the teaching staff.
7. Activities
Except for the two first weeks when there will not be PRS, activities will be as follows:
|
Week |
In room activity |
Out room activity |
|
Session 1: Theory (whole group) Session 2 : Theory (whole group) Session 3: Problem Resolution Seminars (PRS) (subgroups) |
- Individual reading of the scripts before the theoretical sessions - Hide quoted text[C1] - - Attending theoretical sessions - Personal study, solving problems, careful reading of the text book. - Before attending PRS, answer MOODLE questionnaires (internet) Attending PRS and delivering the assigned problems. - Comparing their problem solutions to those published by the teaching staff. |