| Center |
| Faculty of Mathematics |
| Departament |
| Mathematical Analysis |
| Lecturers in charge |
| H2304 - JOSEP MARTINEZ CENTELLES |
| Met. Docent |
| The theoretical part will be developed by the professor. The goal of the practical one is the solution by the students of exercises motivated by the theory of the course, these exercises will be proposed by the professor. |
| Met. Avaluació |
| One exam will take place at each time scheduled that will consist of a theoretical part and a practical one. |
| Bibliografia |
| F del Castillo, Análisis Matemático II, Ed. Alhambra(1980) W.Fleming, Functions of Several Variables, Ed., Springer (1977) Lanson, Hostetler, Edwards, Calculus, Heath and Company, 1994 J. Marsden y A. Tromba. Cálculo Vectorial, Ed. Addison Wesley Longman. (1998) M.Spivak, Cálculo en variedades, Ed. Reverté (1979) |
| Continguts |
| 1. - LENGTH. GREEN'S THEOREM. K-AREA IN Rn. 2. - DIFFERENTIABLE MANIFOLDS. INTEGRATION OF FUNCTIONS. 3. - EXTERIOR ALGEBRA. K-FORMS. 4. - ORIENTED MANIFOLDS. INTEGRATION OF FORMS. 5. - STOKES' THEOREM. |
| Objetius |
| The goal of this course is to provide the student of the essential knowledge and experience to deal with path and surface integrals of (scalar and vector) functions, paying attention to the applications to Physics and other fields. |
| URL de Fitxa |