This instrumental subject belongs to the first course of the degree and it is held during the second semester. The subject completes the learning of the mathematical concepts and technics started during the first semester, introducing several variables in the study of functions and differential calculus

The specific competences of this subject related with the results expected after learning this subject are:

-To understand the concepts and basic techniques of algebra and differential calculus, and their applications to the economic science.

-To use the deductive thinking in the process of justify the procedures and formulate logic arguments.

-To formalize thought mathematical models economic issues and situations.

Regarding the transversal competences, in this subject will be mainly developed the ability to analysis and synthesis.





The learning outcomes of the subject "Mathematics II" are:

- Management of basic concepts and techniques of algebra and differential calculus.

- Resolution of practical cases in which deductive reasoning is used in the justification of procedures and formulation of logical arguments.

-Formalization of quantifiable phenomena of the economic environment through mathematical models applied to economic and business science.



In addition, this subject will work on transversal competences:

-Capacity for analysis and synthesis

-Autonomous Learning

-Decision making and problem solving

1.- Functions of several variables

2.- Derivation

3.- Optimization of one variable

4.- Non conditioned optimization of several variables

5.-Optimization with restriction of equality

6.- Linear programming

7.- Integration of several variables

In the sessions the various topics that make up the subject will be developed. These will have a theoretical and practical character. In relation to the theoretical part, its objective is the introduction and justification of the concepts and results that are part of the subject's program, using for this an expository methodology and the active work by the students in the classrooms.

The compression and expansion of the contents of the subject is favored with the use of exercises, questions and tasks in which the concepts studied are applied to the economic and business world, thus deepening their assimilation and management, in the investigation on their use.

The "teaching case" method could also be used, in which the students must assume the role of the head of a company and make decisions in which they use the contents and competences of the subject.

In some sessions, self-learning and co-learning activities will be used, promoting teamwork and student participation in problem solving. Manipulative mathematics will also be promoted as a learning method.

Most of the exercises and tasks are designed to show the economic and business applications of mathematical technics, in order to enhance the utility of the subject and motivate its learning.

• Continuous Assessment System
• Final Assessment System
• Tools and qualification percentages:
  • Written test to be taken (%): 100

There will be a partial exam (30% of the grade), corresponding to the continuous assessment.



However, the student may choose to be evaluated with said continuous evaluation or may choose a final evaluation (100%)



A more extensive continuous evaluation can be offered to the students. The student guide published in egela will specify the tasks, deadlines, and exercises required to pass the subject through this continues assessment.



Failure to take the test set on the official exam date will automatically waive the call.

In the extraordinary call the student can choose to keep the marks that have been obtained during the course in the continuous evaluation (30%), and therefore, only examine the content and skills not passed.

The other option of the student in the extraordinary call is to sit on 100% of the grade.

Failure to take the test set on the official exam date will automatically waive the call.

The egela platform will be used as an information repository, where the necessary material for monitoring the subject will be published. It will also serve as communication with the students.

Basic bibliography

SYDSAETER, K.and HAMMOND, P. (2012) Essential mathematics for economic analysis. Pearson.



HOFFMAN, L. and BRADLEY, G. (2012): Calculus for Business, Economics and the Social and Life Sciences. McGraw-Hill.

In-depth bibliography

* CABALLERO, R. y otros: Matemáticas aplicadas a la Economía y a la Empresa. 380 ejercicios resueltos y comentados. Editorial Pirámide. Madrid 1993

* HOFFMAN, L. y BRADLEY, G.: Cálculo aplicado para Administración, Economía y Ciencias Sociales. Editorial McGraw-Hill. Bogotá 2004 (8ª edición)

* STEWART, J.: Cálculo (conceptos y contextos). Editorial Thomson. México D.F. 2006 (5ª edición)