Checking date: 21/02/2025


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.
Learning Outcomes
RA1.1: Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes. RA2.1: Ability to analyse complex engineering products, processes and systems in their field of study; to select and apply relevant methods from established analytical, computational and experimental methods; to correctly interpret the outcomes of such analyses. CB1: Students have demonstrated possession and understanding of knowledge in an area of study that builds on the foundation of general secondary education, and is usually at a level that, while relying on advanced textbooks, also includes some aspects that involve knowledge from the cutting edge of their field of study.
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.