{"id":82,"date":"2014-02-25T10:01:16","date_gmt":"2014-02-25T10:01:16","guid":{"rendered":"http:\/\/halley.uis.edu.co\/clases\/lnunez\/?page_id=82"},"modified":"2015-03-05T10:34:57","modified_gmt":"2015-03-05T10:34:57","slug":"matematicas-avanzadas","status":"publish","type":"page","link":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/?page_id=82","title":{"rendered":"Matem\u00e1ticas Avanzadas 2014A"},"content":{"rendered":"
    \n
  1. Objetivos del Curso<\/strong>\n
      \n
    1. Ampliar\u00a0 el conocimiento del lenguaje matem\u00e1tico y f\u00edsico\u00a0 para la construcci\u00f3n de\u00a0 modelos matem\u00e1ticos<\/li>\n
    2. Elaborar\u00a0 modelos\u00a0trav\u00e9s de Ecuaciones Diferenciales, Ecuaciones en Derivadas Parciales (PDE), Ecuaciones en Diferencias,\u00a0 con el objetivo de\u00a0 comprender y explicar los procesos y fen\u00f3menos \u201cf\u00edsicos\u201d.<\/li>\n
    3. Estudiar las implicaciones de estos modelos a trav\u00e9s de m\u00e9todos anal\u00edticos, num\u00e9ricos y cualitativos<\/li>\n<\/ol>\n<\/li>\n
    4. Evaluaci\u00f3n<\/strong>\n
        \n
      1. Dos ex\u00e1menes 40\n
      2. 10 tareas 60\n<\/ol>\n<\/li>\n<\/ol>\n

        Cronograma del Curso<\/strong><\/p>\n

          \n
        1. Semana 1:\n
            \n
          1. Un M\u00ednimo de Espacios de Hilbert\n
              \n
            1. Espacios vectoriales o espacios lineales<\/a>\u00a0(2.1.2, 2.1.3, 2.2, 2.3, 2.4, 2.5 )<\/li>\n
            2. Formas diferenciales y Espacios vectoriales duales<\/a> (3.1)<\/li>\n<\/ol>\n<\/li>\n
            3. Tarea 1 (Entrega 4Marzo)<\/a><\/li>\n
            4. Lecturas
              \n              Agarwal, Mayank, Nikunj Jain, Mr Manish Kumar, and Himanshu Agrawal. 2010. \u201cFace Recognition Using Eigen Faces and Artificial Neural Network<\/strong>.\u201d International Journal of Computer Theory and Engineering<\/em> 2<\/strong> (4): 1793\u20138201.<\/a><\/li>\n
            5. C\u00f3digos\n
                \n
              1. Bases Funcionales pdf<\/a>\u00a0zip<\/a><\/li>\n<\/ol>\n<\/li>\n
              2. Bibliograf\u00eda<\/li>\n<\/ol>\n<\/li>\n
              3. Semana 2:\n
                  \n
                1. Operadores Lineales<\/span><\/a>\u00a0(4.1, 4.2)<\/span><\/li>\n
                2. Tarea 2 (Entrega 11marzo)<\/span><\/a><\/span><\/li>\n<\/ol>\n<\/li>\n
                3. Semana 3<\/span>\n
                    \n
                  1. Autovalores y Autovectores<\/li>\n
                  2. Tarea 3 Entrega (25 Marzo)<\/a><\/li>\n
                  3. C\u00f3digos: Matrices de Pauli pdf<\/a> gzip<\/a><\/li>\n<\/ol>\n<\/li>\n
                  4. Semana 4Semana 5 Discusi\u00f3n de Operadores Lineales<\/span>\n
                      \n
                    1. Series\u00a0de Series<\/a>\n
                        \n
                      1. Series de n\u00fameros y potencias<\/li>\n
                      2. Series y Espacios de Hilbert<\/li>\n<\/ol>\n<\/li>\n
                      3. Tarea 4<\/li>\n
                      4. Lectura:\u00a0Gomes, Jonas, and Luiz Velho. 1995. \u201cAbstraction Paradigms for Computer Graphics<\/a>.<\/a>\u201d The Visual Computer 11 (5). Springer: 227\u201339.<\/li>\n<\/ol>\n<\/li>\n
                      5. <\/li>\n
                      6. Semana 5<\/span>\n
                          \n
                        1. Evaluaci\u00f3n<\/a><\/li>\n
                        2. Un m\u00ednimo de Series de Fourier\n
                            \n
                          1. Entender 7.5.1, 7.5.2, 7.5.3<\/li>\n
                          2. Leer 7.5.4, 7.5.5<\/li>\n<\/ol>\n<\/li>\n
                          3. Ecuaciones diferenciales ordinarias<\/a>\u00a0(actualizado al 27Mayo)\n
                              \n
                            1. Entender: 8.2.2, 8.2.3, 8.3.1. 8.3.2<\/li>\n
                            2. Leer: 8.1, 8.2.1<\/li>\n<\/ol>\n<\/li>\n
                            3. Tarea 4\u00a0(22Abr)<\/span><\/span><\/span><\/a>,<\/span> Tarea 5<\/a>\u00a0(22Abr)<\/span><\/a><\/span><\/li>\n<\/ol>\n<\/li>\n
                            4. Semana 6<\/span>\n
                                \n
                              1. Soluci\u00f3n de ecuaciones diferenciales num\u00e9ricas y simulaciones\n
                                  \n
                                1. Entender:\u00a08.4.1,\u00a08.4.2,\u00a08.5<\/li>\n
                                2. Leer:\u00a0\u00a08.4.3<\/li>\n<\/ol>\n<\/li>\n
                                3. Ecuaciones diferenciales ordinarias de Orden superior\n
                                    \n
                                  1. Entender:\u00a08.6,\u00a08.7, \u00a08.8 y 8.9<\/li>\n
                                  2. Leer:\u00a0\u00a08.10<\/li>\n<\/ol>\n<\/li>\n
                                  3. Tarea 6<\/a> (30Abril)<\/span><\/li>\n<\/ol>\n<\/li>\n
                                  4. Semana 7<\/span>\n
                                      \n
                                    1. Soluci\u00f3n por series de Ecuaciones Diferenciales\n
                                        \n
                                      1. Entender 8.12, 8.13, 8.14<\/li>\n
                                      2. Leer 8.15<\/li>\n<\/ol>\n<\/li>\n
                                      3. M\u00e9todo de Frobenious\n
                                          \n
                                        1. Entender. 8.16, 8.17, 8.18<\/li>\n
                                        2. Leer: 8.19<\/li>\n<\/ol>\n<\/li>\n
                                        3. Tarea 7<\/a> (7Mayo)<\/li>\n<\/ol>\n<\/li>\n
                                        4. Semana 8<\/span>\n
                                            \n
                                          1. Ecuaciones Diferenciales autoadjuntas<\/span>\n
                                              \n
                                            1. Entender: 8.22.1, 8.22.2<\/span><\/li>\n
                                            2. Leer: 8.21<\/span><\/li>\n<\/ol>\n<\/li>\n
                                            3. Tarea<\/span><\/a><\/span> 8<\/a> (14Mayo<\/span>)<\/span><\/li>\n<\/ol>\n<\/li>\n
                                            4. Semana 9\n
                                                \n
                                              1. Condiciones de Frontera\n
                                                  \n
                                                1. Entender: 8.22.3, 8.22.4<\/li>\n<\/ol>\n<\/li>\n
                                                2. Tarea 9<\/a> (21Mayo<\/span>)<\/li>\n<\/ol>\n<\/li>\n
                                                3. Semana 12\n
                                                    \n
                                                  1. Funciones de Green\n
                                                      \n
                                                    1. Entender 8.22.5<\/li>\n<\/ol>\n<\/li>\n
                                                    2. Tarea (No hubo)<\/li>\n<\/ol>\n<\/li>\n
                                                    3. Semana 10\n
                                                        \n
                                                      1. Ecuaciones Diferenciales en Derivadas Parciales\n
                                                          \n
                                                        1. Siete ejemplos y un destino zip<\/a> pdf<\/a><\/li>\n
                                                        2. Entender \u00a0Capt 12 Fourier Solutions of Partial Differential Equations de\u00a0ELEMENTARY DIFFERENTIAL EQUATIONS WITH BOUNDARY VALUE PROBLEMS, \u00a0William F. Trench (2013)<\/a><\/li>\n
                                                        3. <\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

                                                          \u00a0<\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

                                                          Objetivos del Curso Ampliar\u00a0 el conocimiento del lenguaje matem\u00e1tico y f\u00edsico\u00a0 para la construcci\u00f3n de\u00a0 modelos matem\u00e1ticos Elaborar\u00a0 modelos\u00a0trav\u00e9s de Ecuaciones Diferenciales, Ecuaciones en Derivadas Parciales (PDE), Ecuaciones en Diferencias,\u00a0 con el objetivo de\u00a0 comprender y explicar los procesos y … Sigue leyendo →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":429,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"class_list":["post-82","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=\/wp\/v2\/pages\/82","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=82"}],"version-history":[{"count":71,"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=\/wp\/v2\/pages\/82\/revisions"}],"predecessor-version":[{"id":191,"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=\/wp\/v2\/pages\/82\/revisions\/191"}],"up":[{"embeddable":true,"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=\/wp\/v2\/pages\/429"}],"wp:attachment":[{"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=82"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}