| Center |
| Faculty of Mathematics |
| Departament |
| Mathematical Analysis |
| Lecturers in charge |
| G8348 - ANTONIO GALBIS VERDU |
| Met. Docent |
| Theorical and practical sessions. |
| Met. Avaluació |
| Two exams of theoretical and practical character. |
| Bibliografia |
| APOSTOL, T.M. "Análisis Matemático". Reverté (1977). BOMBAL, F.; RODRÍGUEZ, L.; VERA, G. ?Problemas de Análisis Matemático? Editorial AC ( 1987). BURGOS, J. de "Cálculo infinitesimal de varias variables" McGraw-Hill (1995) MARSDEN, J.E.; TROMBA, A.J. "Cálculo vectorial" Addison-Wesley Ib. (1991). MAZÓN, J.M. "Cálculo Diferencial : Teoría y Problemas ". McGraw-Hill (1997). PAO, K.; SOON, F. "Cálculo vectorial. Problemas resueltos" Addison-Wesley Ib. (1993). WEIR, A. "Lebesgue integration and Measure" Cambridge Univ. Press (1975). |
| Continguts |
| DIFFERENTIAL CALCULUS: Limits and continuity. The differential. The chain rule. The mean value theorem. Higher derivatives. Functions of class Cq. Taylor?s formula. Local extrema. The inverse and implicit mapping theorems. Constrained extrema. MÚLTIPLE INTEGRATION: Integrable Functions. Basic convergence theorems. Fubini?s theorem. Measurable functions and sets. The change of variables formula. Integrals depending on a parameter. |
| Objetius |
| To introduce the student in the Differential and Integral Calculus of functions of several real variables. Calculus is developed for functions defined between finite dimensional Euclideans spaces. The second part of the course is devoted to studying of the Lebesgue integral |
| URL de Fitxa |