Checking date: 22/04/2024


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:
Semester:

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

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


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.