Course: 2024/2025

Calculus

(13866)

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.

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

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.