Name: LINEAR ALGEBRA AND NUMERICAL METHODS
Code: 504101002
Type: Basic
ECTS: 6
Length of subject: Per term
Semester and course: 1st Year - First term
Speciality:
Language: English
Mode of study: On-site class
[CB1 ]. Students are required to show they possess and understand knowledge in an area of study that starts from the base of general secondary education, and that they are at a level which includes aspects that imply knowledge coming from the forefront of their field of study.
[CB2 ]. Students are required to be able to apply their knowledge to their job or vocation in a professional manner, and to possess the skills that are usually demonstrated through the elaboration and defense of arguments and the resolution of problems within their area of study.
[CG3 ]. Knowledge of basic subjects and technologies which enables the student to learn new methods and technologies, and gives them great versatility to adapt to new situations
[B1 ]. Specific of basic training: Ability to solve mathematical problems that may arise in engineering. Ability to apply knowledge about: linear algebra; geometry; differential geometry; differential and integral calculation; differential equations and partial derivatives; numerical methods; numerical algorithm; statistics and optimization.
No tiene requisitos previos.
[TR1 ]. Spoken and written effective communication
Al finalizar el programa formativo, el estudiante debe ser capaz de:
Trabajar con espacios vectoriales, aplicaciones lineales y productos escalares.
Resolver de manera computacional problemas fundamentales de Álgebra Lineal, Cálculo y Programación lineal.
Espacios Vectoriales. Matrices y determinantes. Aplicaciones lineales. Diagonalización. Elementos de Geometría. Programación lineal. Resolución Numérica de Ecuaciones y Sistemas. Interpolación e Integración Numérica.
Linear Algebra
LA1: Vector spaces
LA2: Geometry basics
LA3: Linear maps
LA4: Diagonalization
Numerical Methods
Solving linear systems
Solving non linear equations and systems
Numerical quadrature
Curve fitting
Linear programming
Linear programming
Numerical Methods
NM1: Software NM2: Computer arithmetic NM3: Direct methods for solving linear systems NM4: Solving non linear equations NM5: Solving non linear systems NM6: Constructing numerical quadrature rules NM7: The behaviour of the numerical quadrature rules NM8: Polynomial interpolation NM9: Fourier series
Linear Programming
LP: Linear programming
Promoting the continuous improvement of working and study conditions of the entire university community is one the basic principles and goals of the Universidad Politécnica de Cartagena. Such commitment to prevention and the responsibilities arising from it concern all realms of the university: governing bodies, management team, teaching and research staff, administrative and service staff and students. The UPCT Service of Occupational Hazards (Servicio de Prevención de Riesgos Laborales de la UPCT) has published a "Risk Prevention Manual for new students" (Manual de acogida al estudiante en materia de prevención de riesgos), which may be downloaded from the e-learning platform ("Aula Virtual"), with instructions and recommendations on how to act properly, from the point of view of prevention (safety, ergonomics, etc.), when developing any type of activity at the University. You will also find recommendations on how to proceed in an emergency or if an incident occurs. Particularly when carrying out training practices in laboratories, workshops or field work, you must follow all your teacher's instructions, because he/she is the person responsible for your safety and health during practice performance. Feel free to ask any questions you may have and do not put your safety or that of your classmates at risk.
Personal study (group or individual)
60
0
Preparation of assignments and exercises (includes time for bibliographic consultation and documentation)
60
0
Theory class
30
100
Problem solving and case study class
7
100
Practical class in laboratory
18
100
Performance of evaluation tests (duration of exams and other evaluation tests in the classroom)
5
100
Written and/or oral exams (assessment of theoretic and applied content and/or laboratory practice)
Two control exams. The 1st one (LA1-LA2; NM3-NM4-NM5) has a maximum score of 40%. The 2nd one (LA3-LA4; NM6-NM7-NM8; LP) has a maximum score of 40%.
No examination eliminates subject matter.
80 %
Laboratory reports, proposed problems, simulations, case studies, cooperative learning activities, portfolios, oral presentations, supervised internship reports, self-assessment and co-assessment, etc.
Some assignments with a maximum score of 15%, and a written basic control about Matrices, Determinants and Linear Systems of Equations with a maximum score of 5%
20 %
Observation tables to assess the performance of activities (including laboratory practices) which have no required written documentation
0 %
Written and/or oral exams (assessment of theoretic and applied content and/or laboratory practice)
A written exam (LA1-LA2-LA3-LA4; NM3-NM4-NM5-NM6-NM7-NM8; LP) with a maximun score of 80%.
80 %
Laboratory reports, proposed problems, simulations, case studies, cooperative learning activities, portfolios, oral presentations, supervised internship reports, self-assessment and co-assessment, etc.
Optional problems to improve the mark of the assignments and basic control in the ongoing evaluation system. These optional problems must be solved in the final written exam.
20 %
The ongoing evaluation will consist of several assignments (at home) and written controls (in class), including 2 big controls:
- First control: The contents are LA1, LA2, NM3, NM4 and NM5. It will take place in the middle of the term and the maximum mark is 40%
- Second control: The contents are LA3, LA4, NM6, NM7, NM8 and LP. It will take place at the end of the term and the maximum mark is 40% as well.
Students who do not pass the subject in the ongoing evaluation must sit for both big controls in the final exam.
Author: Krasnov, M., Correa Rodríguez, Jairo
Title: Curso de matemáticas superiores
Editorial: URSS
Publication Date: 2003
ISBN: 9785354004546
Author: Krasnov, M.
Title: Curso de matemáticas superiores para ingenieros
Editorial: Mir
Publication Date: 1994
ISBN: 8480410531
Author: Faires, J. Douglas
Title: Métodos numéricos
Editorial: Thomson
Publication Date: 2004
ISBN: 8497322800
Author: Kincaid, David
Title: Análisis numérico: las matemáticas del cálculo científico
Editorial: Addison-Wesley Iberoamericana
Publication Date: 1994
ISBN: 0201601303
Author: Burgos Román, Juan de
Title: Algebra lineal y geometría cartesiana
Editorial: Mc Graw Hill
Publication Date: 2006
ISBN: 9788448149000
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