{"id":161,"date":"2012-10-06T20:47:02","date_gmt":"2012-10-07T01:47:02","guid":{"rendered":"https:\/\/www.uv.mx\/veracruz\/mic\/?p=161"},"modified":"2012-10-08T12:24:34","modified_gmt":"2012-10-08T17:24:34","slug":"matematicas-avanzada","status":"publish","type":"post","link":"https:\/\/www.uv.mx\/veracruz\/mic\/aspirantes\/matematicas-avanzada\/","title":{"rendered":"Matem\u00e1ticas Avanzada"},"content":{"rendered":"

Matem\u00e1ticas Avanzadas<\/span><\/strong><\/p>\n\n\n\n\n\n\n
Clave:<\/strong><\/td>\n<\/td>\n<\/tr>\n
Hrs.\/sem.<\/strong><\/td>\n3<\/td>\n<\/tr>\n
Cr\u00e9ditos<\/strong><\/td>\n6<\/td>\n<\/tr>\n
Prerrequisito<\/strong><\/td>\nLicenciatura<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Justificaci\u00f3n<\/strong><\/p>\n

El desarrollo de un postgrado en ingenier\u00eda conlleva la necesidad de tener herramientas matem\u00e1ticas necesarias para plantear y resolver problemas complejos cuya soluci\u00f3n no se puede obtener, con la suficiente precisi\u00f3n y certeza, con las bases matem\u00e1ticas que se dan a nivel de licenciatura en cualquier carrera de ingenier\u00eda.<\/p>\n

 <\/p>\n

Metodolog\u00eda de trabajo<\/strong><\/p>\n

El profesor impartir\u00e1 los diversos temas utilizando todo tipo de material did\u00e1ctico de apoyo: pizarr\u00f3n, proyector de acetatos, resolver\u00e1 los problemas necesarios en cada tema dejando como trabajo extra-clase problemas que el alumno desarrollar\u00e1.<\/p>\n

 <\/p>\n

Objetivo general<\/strong><\/p>\n

Se dar\u00e1n las t\u00e9cnicas necesarias para resolver ecuaciones diferenciales de orden superior con coeficientes constantes y variables, se aprender\u00e1n t\u00e9cnicas de soluci\u00f3n de ecuaciones diferenciales mediante la transformada de Laplace y se aprender\u00e1n los t\u00f3picos fundamentales del an\u00e1lisis de Fourier.<\/p>\n

 <\/p>\n

Evaluaci\u00f3n<\/strong><\/p>\n

La evaluaci\u00f3n ser\u00e1 de la manera siguiente:<\/p>\n

    \n
  • Dos Ex\u00e1menes parciales con un valor de 20 % cada uno<\/li>\n
  • Un examen final con valor de 40 %<\/li>\n
  • 20% Trabajos extra-clase.<\/li>\n<\/ul>\n

     <\/p>\n

    Programa elaborado por<\/strong>:<\/strong><\/p>\n

     <\/p>\n

    Dr. Evaristo Hern\u00e1ndez Marceliz, Dr. Ricardo Galv\u00e1n Mart\u00ednez, Dr. Ricardo Orozco Cruz, Dr. Enrique Mart\u00ednez, Dr. Jos\u00e9 Luis Ram\u00edrez Reyes.<\/p>\n

     <\/p>\n

     <\/p>\n

     <\/p>\n

     <\/p>\n

    TEMARIO<\/strong><\/p>\n

      \n
    • Introducci\u00f3n a las ecuaciones diferenciales<\/li>\n
    • Ecuaciones diferenciales de orden superior con coeficientes constantes<\/li>\n
    • Soluci\u00f3n de ecuaciones diferenciales de orden superior mediante series de potencias<\/li>\n
    • Sistemas de ecuaciones diferenciales lineales<\/li>\n
    • Transformada de Laplace<\/li>\n
    • Series e integrales de Fourier<\/li>\n
    • Ecuaciones diferenciales parciales<\/li>\n<\/ul>\n

      <\/h3>\n

      BIBLIOGRAF\u00cdA<\/strong><\/p>\n

        \n
      • David Betounes, Differential equations: Theory and applications with maple (With Cd-ROM) Springer Verlag; ISBN: 0387951407, March 15, 2001<\/li>\n
      • Rafel Jose, Jr Iorio, Valeria De Magalhaes Lorio, Fourier Analysis and partial differential Equations, Cambridge Univ Pr (Short); ISBN: 052162116X, March 15, 2001<\/li>\n
      • David Gilbarg, Neil S, Elliptic partial differential equations of second order (Classics in Mathematics). Trudinger Reprint edition, Springer Verlag; ISBN: 3540411607, March 2001<\/li>\n
      • Kenneth Eriksson, Donald Estep, Peter Hansbo, Advanced computational differential equations, Claes Johnson, Cambridge Univ Pr (Short); ISBN: 0521563135, February 15, 2001<\/li>\n
      • Warren S. Wright, A first course in differential equations with modeling applications (Student Solutions Manual for Zill’S) 7th edition Pws Pub Co; ISBN: 0534380018, February 2001<\/li>\n
      • Howard Anton, William F. Trench, Elementary differential equations with boundary value problems, 1st edition Brooks\/Cole Pub Co; ISBN: 0534263283, January 15, 2001<\/li>\n
      • Guillermo Sapiro, Geometric partial differential equations and image analysis Cambridge Univ. Pr (Short); ISBN: 0521790751, January 15, 2001)<\/li>\n
      • Lawrence Perko, Differential equations and dynamical systems (Texts in Applied Mathematics, 7), 3rd edition Springer Verlag; ISBN: 0387951164, January 2001<\/li>\n
      • P. S. Selvadurai Partial differential equations in mechanics 2: The biharmonic equation, Poisson’s equation,\u00a01st edition Vol 002 Springer Verlag; ISBN: 3540672842, January 2001<\/li>\n
      • Jon H. Davis, Differential equations with maple : An interactive approach,\u00a0Bk&Cd-Rom edition Birkhauser (Architectural); ISBN: 0817641815, January 2001.<\/li>\n
      • Martha L. Abell, James P. Braselton, Modern differential equations, Theory, applications And technology 2nd edition 2001 College Publishers; ISBN: 0030287049<\/li>\n
      • Michael D. Greenberg, Differential equations and linear algebra 1st edition Prentice Hall College Div; ISBN: 013011118X, December 15, 2000<\/li>\n
      • <\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"

        Matem\u00e1ticas Avanzadas Clave: Hrs.\/sem. 3 Cr\u00e9ditos 6 Prerrequisito Licenciatura Justificaci\u00f3n El desarrollo de un postgrado en ingenier\u00eda conlleva la necesidad de tener herramientas matem\u00e1ticas necesarias para plantear y resolver problemas complejos cuya soluci\u00f3n no se puede obtener, con la suficiente precisi\u00f3n y certeza, con las bases matem\u00e1ticas que se dan a nivel de licenciatura en […]<\/p>\n","protected":false},"author":60,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ventana_nueva":"","tipo_url":"","url":"","extracto":"","imagen_halign":"","imagen_valign":"","bg_size":"","text_hide":"","media_url":"","tipo_media":"","video_url":"","video_pos":"","video_youtube":"","footnotes":""},"categories":[16],"tags":[],"class_list":["post-161","post","type-post","status-publish","format-standard","hentry","category-aspirantes"],"_links":{"self":[{"href":"https:\/\/www.uv.mx\/veracruz\/mic\/wp-json\/wp\/v2\/posts\/161","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.uv.mx\/veracruz\/mic\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.uv.mx\/veracruz\/mic\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.uv.mx\/veracruz\/mic\/wp-json\/wp\/v2\/users\/60"}],"replies":[{"embeddable":true,"href":"https:\/\/www.uv.mx\/veracruz\/mic\/wp-json\/wp\/v2\/comments?post=161"}],"version-history":[{"count":0,"href":"https:\/\/www.uv.mx\/veracruz\/mic\/wp-json\/wp\/v2\/posts\/161\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.uv.mx\/veracruz\/mic\/wp-json\/wp\/v2\/media?parent=161"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.uv.mx\/veracruz\/mic\/wp-json\/wp\/v2\/categories?post=161"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.uv.mx\/veracruz\/mic\/wp-json\/wp\/v2\/tags?post=161"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}