University Degree in Mathematical Engineering

Syllabus

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Competencies to be acquired by the student

First year

SUBJECT	TYPOLOGY	SEM	ECTS
Algebra 1	BT	SEM 1	6
Calculus 1	BT	SEM 1	6
Programming 1	BT	SEM 1	6
Fundamentals of Computing	OB	SEM 1	3
Logic and Critical Thinking	OB	SEM 1	3
Knowledge Management and People Skills	OB	1 and SEM 2	6
Algebra 2	OB	SEM 2	6
Calculus 2	OB	SEM 2	6
Discrete Mathematics *	BT	SEM 2	6
Mathematical and Computational Logic	BT	SEM 2	6
History of Science and Technology	OB	SEM 2	3
Integrating Project 1	OB	SEM 2	3
* Taught in English

DIPLOMA IN ARTIFICIAL INTELLIGENCE APPLIED TO ROBOTICS
*This diploma will be offered from the academic year 2022/23
SUBJECT	TYPOLOGY	SEM	ECTS
Robots and their Components	PW	SEM 1	4
Roboethics and User Psychology	PW	SEM 2	2

Second Year

SUBJECT	TYPOLOGY	SEM	ECTS
Anthropology and Social Responsibility	OB	SEM 3 and SEM 4	6
Data Structure and Algorithms	BT	SEM 3	6
Statistics 1	BT	SEM 3	6 6
Differential Equations	OB	SEM 3 and SEM 4	9
Enterprise and Digital Transformation	BT	SEM 3	6
Programming 2	BT	SEM 3	6
Databases	BT	SEM 4	6
Statistics 2	OB	SEM 4	6
Numerical Calculus 1	OB	SEM 4	6
Integrative Project 2	OB	SEM 4	3

DIPLOMA IN QUANTUM COMPUTING
SUBJECT	TYPOLOGY	SEM	ECTS
Mathematics for Quantum Computing 1	PW	SEM 3	4
Introduction to Quantum Mechanics	PW	SEM 4	2
Classic and Quantum Computing Models	PW	SEM 4	3

DIPLOMA IN ARTIFICIAL INTELLIGENCE APPLIED TO ROBOTICS
*This diploma will be offered from the academic year 2022/23
SUBJECT	TYPOLOGY	SEM	ECTS
Physics of the Environment	PW	SEM 3	3
Artificial Intelligence for Robots	PW	SEM 4	3

Third Year

SUBJECT	TYPOLOGY	SEM	ECTS
Horizons of Science and Technology	OB	SEM 5 and SEM 6	6
Modeling and Simulation 1	OB	SEM 4	6
Numerical Computation 2	OB	SEM 4	3
Machine Learning	OB	SEM 4	6
Computational Complexity	OB	SEM 4	3
Automata	OB	SEM 4	3
Operations Research	OB	SEM 4	6
Econometrics	OB	SEM 6	6
Data Mining	OB	SEM 6	6
Control Systems	OB	SEM 6	6
Cryptography	OB	SEM 6	6
Integrative Project 3	OB	SEM 6	3

DIPLOMA IN QUANTUM COMPUTING
SUBJECT	TYPOLOGY	SEM	ECTS
Mathematics for Quantum Computing 2	PW	SEM 4	3
Quantum Mechanics and Chemistry	PW	SEM 4	2
Quantum Computing	PW	SEM 6	4

DIPLOMA IN ARTIFICIAL INTELLIGENCE APPLIED TO ROBOTICS
*This diploma will be offered from the academic year 2022/23
SUBJECT	TYPOLOGY	SEM	ECTS
Autopilot and Navigation	PW	SEM 4	2
Vision	PW	SEM 4	2
Project: Autonomous Vehicle	PW	SEM 6	3.5

Fourth Year

SUBJECT	TYPOLOGY	SEM	ECTS
Ethics in the Digital Age	OB	SEM 7 and SEM 8	6
Planning and Management of Engineering Projects	OB	SEM 7	6
Legislation	OB	SEM 7	3
Processing Multimedia	OB	SEM 7	6
Biomathematics	OB	SEM 7	6
Data Visualization	OB	SEM 7	3
Internet of Things	OB	SEM 8	6
End of Degree Project	EDP	SEM 8	12
Internships	I.EXT	SEM 8	6
Electives	OPT	SEM 8	6

The student has to take 6 optional ECTS, choosing two of the following optionals:
SUBJECT	TYPOLOGY	ECTS	SEM
Cryptanalysis	OPT	3	SEM 8
Quantum Computing	OPT	3	SEM 8
Digital Marketing and Networks	OPT	3	SEM 8
Robotics	OPT	3	SEM 8
Engineering Graphics	OPT	3	SEM 8
Deep Learning	OPT	3	SEM 8
Big Data	OPT
Modeling and Simulation 2	OPT	3	SEM 8
Complementary Training Activities 1	OPT	3	SEM 8
Complementary Training Activities 2	OPT	3	SEM 8
From the list of optionals that make up the syllabus, students will be able to choose among the courses offered by the University each academic year, which will be published in the Syllabus book for enrolment. Likewise, the University, once the enrolment period is over, reserves the right to open these optional courses depending on the number of students enrolled.

DIPLOMA IN QUANTUM COMPUTING
SUBJECT	TYPOLOGY	SEM	ECTS
Quantum Programming and Applications	PW	SEM 7	6
Quantum Computers	PW	SEM 8	3

DIPLOMA IN ARTIFICIAL INTELLIGENCE APPLIED TO ROBOTICS
*This diploma will be offered from the academic year 2022/23
SUBJECT	TYPOLOGY	SEM	ECTS
Robotics in Healthcare	PW	SEM 7	3,5
Project: Exoskeleton and Orthotics	PW	SEM 8	4

Syllabus structure

Description of modules/subjects	Download
Credit distribution	Download

Competencies to be acquired by the student

Competencias to be acquired by students

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Mathematical Engineering subjects and syllabus