General information

Subject type: Basic

Coordinator: Ana Beatriz Pérez Zapata

Trimester: Third term

Credits: 6

Teaching staff: 

Rosa Herrero Antón

Teaching languages

  • Catalan


Basic skills
  • B1_That students have demonstrated knowledge and understanding in a field of study that is based on general secondary education, and is accustomed to finding at a level that, although with the support of advanced textbooks, also include some aspects that involve knowledge from the forefront of your field of study


  • B3_Students have the ability to gather and interpret relevant data (usually within their area of ​​study), to make judgments that include reflection on relevant social, scientific or ethical issues


  • B4_That students can convey information, ideas, problems and solutions to both specialized and non-specialized audiences


Specific skills
  • EFB1_Ability to solve mathematical problems that may arise in engineering. Ability to apply knowledge about: linear algebra, differential and integral calculus, numerical methods, numerical algorithms, statistics and optimization


Transversal competences
  • T1_That students know a third language, which will be preferably English, with an adequate level of oral and written form, according to the needs of the graduates in each degree



The course reviews and expands the knowledge that students already have in high school about functions, derivation and integration of functions, series and numerical methods.


Topic 1. Real functions of a real variable

  1. Generalities
  2. Limit and continuity of a function
  3. Bisection method for root calculation

Topic 2. Derivation of real functions of a real variable

  1. The derivative
  2. Basic rules of derivation
  3. Newton's method for calculating roots
  4. Function ends
  5. Growth and degrowth of functions
  6. Concavity and convexity of functions. Turning points
  7. Representation of functions
  8. Indeterminate forms of limits. Hospital Rule

Topic 3. Successions and series

  1. successions
  2. Series
  3. Series of powers. Polynomial approximation of functions

Topic 4. Integration of functions

  1. Indefinite integral.
  2. Integral defined
  3. Numerical integration

Evaluation system

75% Exams. At least a 4 must be obtained in each partial, and the arithmetic average of the partials must be at least 5.

15% exercises done in class individually. Non-recoverable activity.

10% presentation on the board of exercises in groups. Non-recoverable activity.




Smith, Robert T; Minton, Roland B. (2003) Calculus. 2nd ed. McGraw Hill

Tan, Soo T. (2011) Calculus: Early Transcendentals. Brooks / Cole.