Mathematics and Reality (in English)

DESCRIPTION 

The aim is to provide the student with a theoretical and practical knowledge of some aspects of mathematics whose presence in pre-university teaching is usually scarce, null, or of a purely formal approach, but which contribute to improving not only the mathematical culture in general but also the capacity to understand and solve a great diversity of real problems and modern technical applications of mathematics. Emphasis will be made on a practical approach involving numerical computations and programming as means for exploring the proposed topics.

GENERAL SKILLS 

• Knowledge of essential aspects of the formation of the mathematical corpus.

• Oral and written communication in English.

• Self-study and autonomous work.

• Ability to search for contents.

• Identification of the mathematical structure of problems in everyday life.

SPECIFIC SKILLS

• Ability to analyze from a mathematical point of view the problems of daily life.

• Ability to solve mathematical problems related to everyday life.

• Mathematical modelling of situations.

• Recognition of the role and importance of mathematics in human activity.

• Recognition of the relevance of mathematics in human activity.

• Knowledge of the role of relevant personalities of the mathematical world and their contribution.

OBJECTIVES 

• To know the fundamental role of geometry as a support for mathematical development.

• To identify the contributions of great mathematicians with their historical context.

• To understand the importance of logical foundations and the inconsistency of any complex system.

• To understand the rudiments of encrypted message transmission.

• To understand basic techniques used in machine learning and artificial intelligence.

• To understand the advantages and difficulties of voting and allotment systems in democratic systems.

• To appreciate the connection of mathematics with artistic expression.

• To identify and learn to correct the most common errors in daily mathematics in the field of economics.

• To understand the flaws of common statistical and probabilistic language.

• To stimulate critical thinking, overall vision and the search for alternative solutions to problems of mental challenge.