Competencies and objectives
Course context for academic year 2024-25
El objetivo de la Geometría Diferencial y también de esta asignatura es el de aproximar objetos diferenciables por objetos lineales, más fáciles de estudiar con las técnicas del Álgebra Lineal. Se adapta así a los objetos curvados las técnicas del Análisis real de una y varias variables, para acabar obteniendo información sobre la “forma” de los objetos.
La visualización es muy importante para la Geometría. Esta asignatura facilita al estudiante el interpretar las ecuaciones y en general las fórmulas como objetos visibles, y recíprocamente, estudiar los problemas geométricos de los objetos que vemos por medio de métodos analíticos. Esta asignatura proporciona pues al estudiante un “diccionario” entre dos “idiomas”: el de las cosas que vemos y el más abstracto de los números y las fórmulas.
Se presentarán también aplicaciones prácticas de la Geometría a la Ingeniería, a la Arquitectura, a la Física considerando también las nuevas tecnologías: GPS, antenas parabólicas, Diseño asistido por ordenador (CAD), telecomunicaciones, ...
Para una correcta comprensión de la misma el estudiante necesita muchas nociones de otras asignaturas del primer año: Álgebra Lineal I, Análisis de una variable real I, Álgebra Lineal II, Análisis de una variable real II, Análisis real de varias variables I, Topología básica, Geometría Lineal, y Análisis real de varias variables II.
A su vez los contenidos de esta asignatura serán útiles para otras asignaturas del Grado: Topología avanzada y Teoría global de superficies.
Course content (verified by ANECA in official undergraduate and Master’s degrees) for academic year 2024-25
Specific Competences (CE)
- CE1 : Understand and use mathematical language. Acquire the capacity to enunciate propositions in different fields of Mathematics, to construct demonstrations and transmit the mathematical knowledge acquired.
- CE10 : Communicate, both orally and in writing, mathematical knowledge, procedures, results and ideas.
- CE2 : Understand rigorous demonstrations of certain classical theorems in different fields of Mathematics.
- CE3 : Assimilate the definition of a new mathematical object in terms of others already known and be able to use said object in different contexts.
- CE5 : Propose, analyse, validate and interpret models of simple real-life situations, using the most appropriate mathematical tools for the purpose.
- CE6 : Solve mathematical problems using basic calculus skills and other techniques, planning their resolution according to the tools available and any time and resource restriction.
Specific Generic UA Competences
- CGUA1 : Understand scientific English.
- CGUA2 : Possess computer skills relevant to the field of study.
- CGUA3 : Acquire or possess basic Information and Communications Technology skills and correctly manage the information gathered.
Generic Degree Course Competences
- CG1 : Develop the capacity for analysis, synthesis and critical reasoning.
- CG2 : Show the capacity for effective and efficient management/direction: entrepreneurial spirit, initiative, creativity, organisation, planning, control, decision making and negotiation.
- CG3 : Solve problems effectively.
- CG4 : Show capacity for teamwork.
- CG5 : Commitment to ethics, the values of equality and social responsibility as a citizen and professional.
- CG6 : Self-learning.
- CG7 : Show the capacity to adapt to new situations.
- CG9 : Show the ability to transmit information, ideas, problems and solutions to both specialist and non-specialist audiences.
Learning outcomes (Training objectives)
No data
Specific objectives stated by the academic staff for academic year 2024-25
No data
General
Code:
25029
Lecturer responsible:
Teruel Carretero, Jose Luis
Credits ECTS:
6,00
Theoretical credits:
1,32
Practical credits:
1,08
Distance-base hours:
3,60
Departments involved
-
Dept:
APPLIED PHYSICS
Area: APPLIED PHYSICS
Theoretical credits: 0
Practical credits: 0 -
Dept:
FOUNDATIONS OF ECONOMIC ANALYSIS
Area: APPLIED ECONOMICS
Theoretical credits: 0
Practical credits: 0 -
Dept:
APPLIED MATHEMATICS
Area: APPLIED MATHEMATICS
Theoretical credits: 0
Practical credits: 0 -
Dept:
MATHEMATICS
Area: GEOMETRY AND TOPOLOGY
Theoretical credits: 1,32
Practical credits: 1,08
This Dept. is responsible for the course.
This Dept. is responsible for the final mark record.
Study programmes where this course is taught
-
DOUBLE DEGREE IN PHYSICS AND MATHEMATICS
Course type: COMPULSORY (Year: 2)
-
DEGREE IN MATHEMATICS
Course type: COMPULSORY (Year: 2)