| Center |
| Faculty of Physics |
| Departament |
| Astronomy and Astrophysics |
| Lecturers in charge |
| Sin datos cargados |
| Met. Docent |
| See attached file. |
| Met. Avaluació |
| See attached file. |
| Bibliografia |
| S.K. Stein, Cálculo y Geometría analítica. Ed Reverté 1984. J. Rey Pastor, P. Pi Calleja, C.A. Trejo, Análisis Matemático (tres volúmenes) 1972. M. Krasnov, A. Kiseliov, G. Makarenko, E. Shikin, Curso de Matemáticas Superiores). Ed Mir 1994 A. J. Marsden, A. Weinstein, Calculus (3 vol.) Springer-Verlag, I 1989, II 1996, III 1998 N. Piskunov, Cálculo diferencial e integral. Ed Montaner y Simón S.A. Barcelona 1970 K.F. Riley, M.P. Hobson, D.J. Bence, Mathematical Methods for Physics and Engineering, Cambridge University Press 2000. T.M. Apostol, Calculus. Ed Reverté 1991 Puig Adam, Cálculo Integral. Ed Biblioteca Matemática 1970. B. Demidovich, Problemas y Ejercicios de Análisis Matemático. Ed Mir |
| Continguts |
| I. Successions and series. 1. From natural to real numbers. Successions of real numbers. 2. Numerical series. Power series. Taylor series. II. Functions: general concepts and derivation. 3. Limits and continuity. Curves geometry in two and three dimensions. 4. Partial derivatives, Gradient of a scalar field, Direction derivative, Differentiability 5. Jacobian matrix and Jacobian. Homogeneous functions. Inverse function. Implicit functions. Surfaces in three dimensions 6. Taylor formula for n-variable functions. Critical points. Maxima and minima. Constrains extremal points. III. Integral calculus. 7. Integration. Geometric and physical applications. Integration of functions of n-variables. Multiple integration. 8. Curvilinear integrals. Green, Stokes and Gauss-Ostrogradski theorems. |
| Objetius |
| The student will achieve both a theoretical and practical knowledge of the main aspects of differential and integral calculus. Ideas, concepts, and main results will be presented with a physical motivation in mind. Emphasis will be given on the applicability of the issues discussed along the course on specific aspects related with the degree in Physics. |
| URL de Fitxa |