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Plan De Estudios 2007 33 7.1 Universidad Mayor de San Andres´ Facultad de Ciencias Puras y Naturales Carrera de Matematica´ PLAN ACADEMICO´ 2007 Licenciatura en Matem´atica Mag´ıster Scientiarum en Matem´atica Mag´ısterScientiarum en Educaci´onde la Matem´aticaSuperior Aprobado por Resoluci´onHCU 499/06 La Paz{Bolivia 2007 Preparado por: Mgr. Porfirio Su~naguaS. Revisado por: Lic. Santiago Conde Honorable Consejo de Carrera (Comisi´on:Desarrollo Curricular) AGRADECIMIENTOS En las Asambleas Docentes Estudiantiles de la Carrera de Matem´aticaa fines de la Gesti´on2004, se ha analizado y evaluado el desarrollo del Plan 2002, la misma que dado lugar a una nueva reformulaci´oncon el objetivo de alcanzar el nivel de Maestr´ıaen Matem´atica como grado terminal de la Carrera. Para este efecto, la Direcci´onde la Carrera ha organizado una comisi´onpara preparar el Documento de acuerdo a la nueva filosof´ıaaprobada en las citadas asambleas, que b´asicamente establece cuatro a~nospara la Licenciatura y mas dos a~nospara la Maestr´ıaconforme a las ´ultimaspol´ıticasadoptadas por el HCU en II/2004. Por lo que se tiene especial agradecimiento a toda la comunidad de la Carrera, en especial al Director de Carrera Dr. Ramiro Lafuente, al Director Acad´emicoLic. Santiago Conde, y todos los docentes y estudiantes que fueron directa participantes para trabajar en este documento. La redacci´oncorresponde al Mgr. Porfirio Su~naguaSalgado y la revisi´ona los miembros del HCC de Matem´atica.El dise~node las materias fue aporte de los docentes: Mgr. Porfirio Su~nagua,Lic. Santiago Conde, Lic. Luis Tordoya, Msc. Miguel Yucra, Msc. Efrain Cruz, Lic. Mario Paz, Lic. Marcelo Machicao, Msc. Ernesto Cup´e,Lic. Oscar Bobarin, c.Dr. Javier Guachalla. Enero del 2007 Ramiro Lafuente R. i ii A Los Profesores y Estudiantes de la Carrera de Matem´atica ´Indice general I El Desarrollo Curricular de la Carrera de Matem´atica 1 1. Introducci´on 3 1.1. An´alisisAcad´emico . .3 1.2. Retrospectiva de Licenciatura en Matem´atica . .4 1.3. Descripci´onde Temas . .4 2. Historia de la Carrera de Matem´atica 5 2.1. Creaci´on. .5 2.2. Desarrollo Curricular . .5 2.2.1. Curricula 1967, 1974, 1976 y 1983 . .6 2.2.2. Curricula 1994: Resoluci´onHCU 057/96 . .7 2.2.3. Curricula 2002: Resoluci´onHCU 168/2003 . .7 3. Evaluaci´onde la Curricula 1994 y 2002 9 3.1. An´alisisFODA . .9 3.1.1. Fortalezas . 10 3.1.2. Oportunidades . 10 3.1.3. Debilidades . 10 3.1.4. Amenazas . 11 3.2. An´alisisdel Perfil Profesional . 11 3.3. An´alisisde Objetivos . 11 3.4. Necesidad de reformulaci´ondel Plan 2002 . 12 4. Estructura de la Carrera de Matem´atica 13 4.1. Organigrama . 13 4.1.1. Composici´ondel HCC . 13 4.1.2. Composici´ondel Comit´eEjecutivo: . 14 4.2. Actividades fundamentales . 14 4.2.1. Acad´emica. 14 4.2.2. Investigaci´on . 14 4.2.3. Interacci´onSocial . 15 4.3. Recursos e Infraestructura . 15 4.4. Instituto de Investigaci´onMatem´atica:Resoluci´onHCU 272/01 . 15 iii iv ´INDICE GENERAL II Nuevo Dise~noCurricular de la Carrera de Matem´atica 17 5. Dise~node la Licenciatura en Matem´atica 19 5.1. Dise~noCurricular . 19 5.2. Modelizaci´on . 20 5.2.1. Definici´ondel Problema . 20 5.2.2. Esquema Inicial . 20 5.2.3. Inserci´onde Recursos Te´oricos . 20 5.2.4. El Modelo . 20 5.2.5. Desarrollo . 20 5.2.6. Contrastaci´on . 21 5.2.7. Replanteo . 21 5.2.8. Nueva Contrastaci´on . 21 5.3. Enculturaci´onde la Ciencia . 21 5.4. Formaci´on Profesional . 21 5.5. Perfil Profesional . 22 6. El Proceso de Formaci´onProfesional 23 6.1. Problemas Profesionales . 23 6.2. Dise~noy Desarrollo Curricular . 24 6.3. Filosof´ıay Objeto de la Profesi´on . 24 6.3.1. Objeto y alcances del Trabajo . 25 6.3.2. Modos de Actuaci´on . 25 6.3.3. Campos de Acci´on . 25 6.3.4. Esferas de Actuaci´on . 25 6.4. Objetivos de la formaci´onProfesional . 26 6.5. Dise~node Areas´ y de Asignaturas . 27 6.6. Estructura por Ciclos . 28 6.6.1. Ciclo B´asico. 28 6.6.2. Ciclo Intermedio . 29 6.6.3. Ciclo de Orientaci´on . 29 6.7. Areas de Estudios en el nuevo Programa . 30 6.8. Aplicar la Matem´atica . 31 7. Estructura del Plan de Estudios 2007 33 7.1. Areas Troncales . 33 7.1.1. Introducci´on. 33 7.1.2. El Area´ de Algebra´ . 33 7.1.3. El Area´ de An´alisis. 34 7.1.4. El Area´ de Geometr´ıay Topolog´ıa . 35 7.1.5. El Area´ de Matem´aticaAplicada . 35 7.1.6. Laboratorios de Computaci´on . 37 7.1.7. Educaci´onMatem´atica. 37 7.2. Ciclos Acad´emicos . 37 7.2.1. Ciclo B´asico:Primero a Cuarto Semestre . 37 ´INDICE GENERAL v 7.2.2. Ciclo Intermedio: Quinto al Sexto Semestre . 37 7.2.3. Ciclo de Orientaci´on:S´eptimoy Octavo Semestre . 38 7.3. Estructura de Siglas . 38 7.4. Materias Electivas . 39 7.5. Materias Optativas . 39 7.6. Materias de Servicios a Matem´atica. 40 7.6.1. Servicios de F´ısica . 40 7.6.2. Servicios de Estad´ıstica. 41 7.6.3. Servicios de Inform´atica . 41 7.7. Carga Horaria del Plan de Estudios (cr´editos) . 42 7.7.1. Horas Te´oricas . 42 7.7.2. Horas Pr´acticas. 42 7.7.3. Horas Laboratorio . 42 7.8. Pensum Semestral de Licenciatura . 43 7.9. Malla Curricular . 43 7.10. Flexibilidad del Plan de Estudio: Pre{Requisitos . 46 7.11. Evaluaci´onen las Materias . 47 7.11.1. Ex´amenesParciales . 47 7.11.2. Examen Final . 47 7.11.3. Pr´acticas. 47 7.11.4. Examen de Recuperaci´on. 48 7.12. Caracterizaci´onde las Materias . 48 7.12.1. Materias de Especialidad . 48 7.12.2. Materias de Servicios . 48 7.13. Carga Horaria Acad´emicadel Docente . 48 8. R´egimenEstudiantil 49 8.1. Modalidad de Ingreso . 49 8.1.1. Curso Prefacultativo . 49 8.1.2. Liberaci´ondel Curso Prefacultativo . 49 8.2. Modalidad de Graduaci´on . 50 8.2.1. Introducci´on. 50 8.2.2. Objetivos . 50 8.2.3. Formato del Proyecto de Grado . 51 8.2.4. Revisi´ondel Proyecto de Grado . 52 8.3. Egreso: Culminaci´onde Materias . 53 8.4. Colaci´onde Grado . 53 8.5. T´ıtuloProfesional . 53 9. Convalidaciones 55 9.1. Cambio al Plan Reformulado . 55 9.2. Alumnos de otras Carreras . 56 9.3. Tabla de Convalidaciones . 56 vi ´INDICE GENERAL 10.Requerimiento Funcional 59 10.1. Recursos Humanos . ..
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