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Course description
DISCRETE MATHEMATICS

## Competencies and objectives

#### Course context for academic year 2015-16

Discrete Mathematics is a basic course that provides students with the basic knowledge, both theoretical and empirical, to understand, analyse and solve discrete mathematical problems arising in their university and professional future.

There are many topics that can be classified within the field of Discrete Mathematics. For example, topics related to set theory, basic logic, proof techniques, the basics of counting, integer modular arithmetic, graphs, trees or discrete probability. Some of these topics can also be included within other disciplines or subjects. For example, concepts related to set theory can be part of Algebra, basic logic and proof techniques form part of Logic considered as a discipline, and discrete probability may be considered a discipline by itself. This has led us to consider in this subject concepts related to Graphs and Integer Modular Arithmetic.

#### Course content (verified by ANECA in official undergraduate and Master’s degrees)

General Competences (CG)

• CG1 : Capacity to resolve mathematical problems arising in engineering. Ability to apply knowledge of: linear algebra, differential and integral calculus, numerical methods, numerical algorithms, statistics and optimisation.
• CG3 : Capacity to understand and master the basic concepts of discrete mathematics, logic, algorithms and computational complexity and their application to solve problems related to engineering.

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#### Specific objectives stated by the academic staff for academic year 2015-16

• Acquire basic knowledge and techniques to be able to learn and develop new methods and technologies, as well as skills to face up with novel situations.
• Ability for solving problems with own initiative, informed decision making, autonomy and creativity. Ability to communicate knowledge, capabilities and skills related to Computer Engineer profession.
• Improve formal reasoning acquiring and improving mathematical knowledge.
• Create the habit of raising questions. Form the habit of formulating questions to develop problem-solving skills: Is there a solution to the problem? How many? What is the relationship among them? What would happen if certain aspects of the problem were changed?
• Know and understand basic concepts, results, methods, vocabulary and notation associated with Discrete Mathematics.
• Understand that although the content of the subject is mathematical, Discrete Mathematics has many applications in computer science. Hence it is important to motivate the subject with concrete problems and applications.

## General

Code: 34006
Lecturer responsible:
Credits ECTS: 6,00
Theoretical credits: 1,20
Practical credits: 1,20
Distance-base hours: 3,60

## Departments involved

• Dept: SCIENCE OF COMPUTING AND ARTIFICIAL INTELLIGENCE
Area: SCIENCE OF COMPUTING AND ARTIFICIAL INTELLIGENCE
Theoretical credits: 1,2
Practical credits: 1,2
This Dept. is responsible for the course.
This Dept. is responsible for the final mark record.