Ficha

Versión en español

Course: 2024/2025

Calculus

(13866)

Bachelor in Computer Science and Engineering (Plan: 489 - Estudio: 218)

Coordinating teacher: CARRETERO CERRAJERO, MANUEL

Department assigned to the subject: Mathematics Department

Type: Basic Core

ECTS Credits: 6.0 ECTS

Course: 1º

Semester: 1º

Branch of knowledge: Engineering and Architecture

Requirements (Subjects that are assumed to be known)

In terms of technical and educational matters, students are recommended to have knowledge of mathematics and physics, with the foundation of a LOGSE (Law on the General Organization of the Educational System) secondary school diploma or the equivalent.

Objectives

The students should acquire the mathematical background needed to understand and apply new concepts and technical advances related to Computer Science and its practical applications.

Skills and learning outcomes

Link to document

¿	Understand the concept of a function of a real variable, as well as its limits, continuity, differentiability and integrability.
¿	Calculate integrals and improper integrals and apply them to various problems.

Description of contents: programme

1. Real numbers. 2. Sequences and series of real numbers. 3. Continuous functions. 4. Derivative. 5. Theorems about differentiable functions. 6. Taylor Expansions. 7. Applications of the Derivative. 8. Riemann Integral and Techniques of Integration. 9. Improper Integrals. 10. Applications of Integration.

Learning activities and methodology

Theory (3 credits). Problem sessions working individually and in groups 3 credits).

Assessment System

% end-of-term-examination 60
% of continuous assessment (assigments, laboratory, practicals...) 40

Calendar of Continuous assessment

We follow a continuous-assessment system (40%) plus a final exam (60%):

  a) The continuous-assessment part consists in two mid-term exams that will be held in regular class hours, according to the current regulations.These mid-term tests allow the students to modify their own learning strategies, if necessary. 

  b) The final exam will be held at the end of the semester, and allows to assess globally the knowledge of the course topics, skills, and capabilities adquired by the students. 


There is an resit exam in June for those students who did not obtain the required end-of-semester mark. This resit exam has a maximum mark of 10, and the June final mark is given by max (EE, 0.6 EE + 0.4 EC), where EE (resp. CA) is the resit-exam (resp. continuous-assessment) mark.

Extraordinary call: regulations

Basic Bibliography

D. Pestana, J. M. Rodríguez, E. Romera, E. Touris, V. Álvarez, A. Portilla. CURSO PRÁCTICO DE CÁLCULO Y PRECÁLCULO. Ariel Ciencia. 2000
Juan de Burgos Román. CÁLCULO INFINITESIMAL DE UNA VARIABLE. McGraw-Hill Interamericana de España, SL. 2008
Salas/ Hille / Etgen. Calculus : one and several variables. Wiley. 10th ed.

Additional Bibliography

James Stewart. Calculus. Thomson Brooks/Cole cop.. 2009, 6th ed.
Juan de Burgos Román. FUNCIONES DE UNA VARIABLE. LÍMITES, CONTINUIDAD Y DERIVADAS. 80 PROBLEMAS ÚTILES. García Maroto Editores, Madrid . 2006
Juan de Burgos Román. CÁLCULO INTEGRAL (UNA Y VARIAS VARIABLES). 70 PROBLEMAS ÚTILES. García Maroto editores, Madrid. 2007
Larson / Hostetler / Edwards . Calculus : with analytic geometry. Boston etc. : Houghton-Mifflin . 2006, 8th ed.

The course syllabus may change due academic events or other reasons.