TecnoCampus Foundation
eCampus
University Business
eCampus

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General information

Subject type: Basic

Coordinator: Monica Juliana Oviedo León

Trimester: Second term

Credits: 6

Teaching staff: 

Jose Ignacio Monreal Galán
Josep Maynou Terri 

Teaching languages

  • Catalan
  • Spanish

Check the schedules of the different groups to know the language of teaching classes. Although the material can be in any of the three languages.

Skills

Basic skills

  • CB1. That students have demonstrated knowledge and understanding in a field of study that is based on general secondary education, and is usually found at a level that, while supported by advanced textbooks, also includes some aspects. involving knowledge from the forefront of their field of study.

  • CB3. That students have the ability to gather and interpret relevant data (usually within their area of ​​study) to make judgments that include reflection on relevant social, scientific, or ethical issues.

  • CB5. That students have developed those learning skills necessary to undertake further studies with a high degree of autonomy.

Specific skills

  • CE15. Gather and interpret meaningful data to make judgments that include reflection on relevant business issues and be able to prepare a document that allows for the transmission of information or an innovative business proposal.

  • CE3. Identify the qualitative and quantitative tools of analysis and diagnosis for market research.

General competencies

  • CG1. Be able to work in a team, actively participate in tasks and negotiate in the face of dissenting opinions until reaching consensus positions, thus acquiring the ability to learn together with other team members and create new knowledge.

Transversal competences

  • CT5. Develop tasks applying the knowledge acquired with flexibility and creativity and adapting them to new contexts and situations.

Description

The subject of "Mathematics for Marketing" is conceived as an introductory subject of basic training for the student, as shown by its location in the first year. The course will work on the use of mathematical language and the acquisition of working methods that are especially suitable and useful to formalize business situations.

In particular, the subject develops the fundamental aspects of mathematical calculation in a variable (with optimization), in this sense, it is an instrumental subject that provides mathematical tools that are used, mainly in marketing contexts.

In addition it is necessary to emphasize, by the formative character of this subject, that the logical-deductive reasoning is promoted.

Contents

Block 0. Preliminaries.

  • The sets of numbers
  • Solving equations and inequalities

Block 1. Real functions of a real variable.

  • Definition, types and properties

Expressions of a function: explicit form and implicit form

  • Graph of a function
  • Domain and Path of a Function
  • Operations with functions: Sum, Product by a scalar, Product and Quotient
  • Composition. Properties. Identity Function and Reverse Function
  • Study of some elementary functions
    • Polynomial functions
    • Rational Functions
    • Functions with Radicals
    • Exponential Functions
    • Logarithmic Functions

Block 2. Differential calculus with functions of a variable.

  • Derived from a function at a point: definition
  • Geometric interpretation of the derivative
  • Angular Points
  • Derivative and continuity theorem
  • Derived function
  • Function derived from elementary functions (Table of derivatives)
  • Derivative of operations: sum, product to scale, product, quotient
  • Derivative of the composition: Rule of the chain
  • Successive derivatives
  • Derivative applications
  • Calculation of the tangent line at a point
  • Limits: Definition, Lateral limits, Infinite limits: Vertical asymptotes, Limits at infinity: Horizontal asymptotes, Graphical representation of limits, Hôpital's rule, Calculation of limits. Uncertainties
  • Continuity: Definition and equivalent definitions, Types of discontinuity: avoidable, jump and asymptotic, Continuity problems, Calculation of the asymptotes of a function: horizontal, vertical and oblique.
  • Intervals of growth and degrowth of a function
  • Calculation of extremes (maximums and minimums)
  • Concavity, convexity and inflection points
  • Analysis of a function
  • Optimization. Highs and lows with marketing applications

 

Evaluation system

The final mark will be the weighted arithmetic average of the grades of the assessment activities carried out in the quarter.

- Two exams, one partial P and an end F, with a respective weight in the final mark of 10% and 60%.

- Continuous evaluation activities (A): 30%

Therefore the final note is obtained by applying the formula:

Note = 0,1 P + 0,6 F+0,3 A

The grade of the final exam is required F is greater than or equal to 4 out of 10 to pass the subject, and the final grade must be greater than or equal to 5 points out of 10.

In the recovery period of the second term the student will be able to be examined of the end (F). The continuous assessment notes (A) and the partial P they are not recoverable in any case and no grade will be saved from one academic year to another.

REFERENCES

Basic

HAEUSSLER, JR., ERNEST, F., RICHARS D. PAUL, RICHARD J. WOOD (2015): Mathematics for administration and economics. Thirteenth edition. Ed Pearson.

Complementary

ROSSER, M., LIS, P. (2016): Basic Mathematics for economists. Third edition. Routledge Ed.

GARCÍA PINEDA, P., NÚÑEZ DEL PRADO, JA, SEBASTIÁN GÓMEZ, A. (2007): Introduction to university mathematics. Ed. Thomson.

LÓPEZ, M. VEGAS, A. (2005): Basic course of mathematics for the economy and the direction of companies. Vol I and II. Ed Pyramid.

BITTINGER, MARVIN, L. (2002): Calculus for economic-administrative sciences. Seventh education. Ed Pearson.

LARSON, HOSTETLER, EDWARDS (2006): Calculus. Eighth edition. Mc Graw-Hill.