TecnoCampus Foundation
eCampus
University Business
eCampus

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General information

Subject type: Basic

Coordinator: Joan Triadó Aymerich

Trimester: First term

Credits: 6

Teaching staff: 

Moses Burset Albareda

Teaching languages

  • Catalan

Skills

Specific skills

  • 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.

Transversal competences

  • 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.

Description

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.


 

Contents

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
 

Evaluation system

-First (partial) individual exam: 35%
- Second (final) individual exam: 35%
-Individual questions in class: 30%

If in the partial exam (algebra) the grade was equal to or higher than 4, you can choose to take the whole final exam or just the second part (analysis). If the first part grade was lower than 4, the final exam will be 70% of the grade and the entire subject will be evaluated.

During all classes, individual questions will be asked and evaluated (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, you will have to go to the recovery exam.

The maximum grade that can be obtained in the recovery exam will be 8.
 

REFERENCES

Basic

Course notes (available on the virtual campus)

Steiner, Erich. Mathematics for applied sciences. Ed. Reverté (Barcelona, ​​2003) ISBN: 84-291-5159-1

Complementary

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)