What are you looking for?
EC1: Train for the resolution of mathematical problems that may arise in engineering. Ability to apply knowledge about: linear algebra; geometry; differential geometry; differential and integral calculus; differential equations and partial derivatives; numerical methods; numerical algorithm; statistics and optimization.
CT2: That students have the ability to work as members of an interdisciplinary team either as another member, or performing management tasks in order to contribute to developing projects with pragmatism and a sense of responsibility, assuming commitments taking into account the available resources.
It is an introductory course in linear algebra and differential calculus with the purpose of leveling students' mathematical knowledge and laying a firm methodological basis for developing the calculations needed in engineering.
Tecnocampus will provide teachers and students with the digital tools needed to carry out the course, as well as guides and recommendations that facilitate adaptation to the non-contact mode, if necessary.
The classroom (physical or virtual) is a safe space, free of sexist, racist, homophobic, transphobic and discriminatory attitudes, either towards students or towards teachers. We trust that together we can create a safe space where we can make mistakes and learn without having to suffer prejudice from others.
Topic 1: Vector spaces
Coordinate systems
Euclidean vector space
Generalization of the vector concept
Linear dependence of vectors. Bases
Values and vectors of a square matrix
Topic 2: Systems of linear equations
Operations with matrices
Gauss and Gauss-Jordan method
Definition and properties of determinants
Cramer's rule
Topic 3: Real functions
Definition and graphics
Function transformation
Examples of functions
Limit of a function
Continuity of a function
Topic 4: Derivation of real functions
Definition of derivative
Basic rules of derivation
Concepts associated with the second derivative
Indeterminate forms of limits (Rule of the Hospital)
Topic 5: Sequences and series
Concept of succession
Limit of a succession
Series
Power series
Polynomial approximation of functions
-First (partial) individual exam: 35%
- Second (final) individual exam: 35%
-Individual questions: 30%
If in the partial exam (algebra) the grade was equal to or higher than 4,5, you can choose to take the whole final exam or just the second part (analysis). If the first part grade was lower than 4,5, the final exam will be 70% of the grade and the entire subject will be evaluated.
During the course, individual questions will be assessed (minimum 2 per student) that will represent 30% of the final grade (oral exam type)
If in the final exam the grade is not higher than 4,5, you will have to go to the recovery exam, regardless of the other grades of the course.
The maximum grade that can be obtained in the recovery exam will be 8.
It will not be possible to recover the part of the individual questions.
Course notes (available on the virtual campus)
Steiner, Erich. Mathematics for applied sciences. Ed. Reverté (Barcelona, 2003) ISBN: 84-291-5159-1
M. Krasnov et al. Higher mathematics course for engineers. Ed. look (1990)
Lay, David C; Murrieta Murrieta, Jesús Elmer. Linear algebra and its applications. Ed. Pearson (3rd ed), 2007. (https://dokumen.tips/download/link/algebra-lineal-y-sus-aplicaciones-3ra-edicion-david-c-lay-56327c66f18ec.html)