Syllabus Syllabus - Semestral Semestr al 2018-I
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Aptitudes lógico - Matemático Aptitudes Comunicativas Aritmética Álgebra Geometría Trigonometría Estadística y probabilidades Física I-II Química I-II Biología Anatomía Lengua y literatura Ecología Historia del Perú Historia Universal Geografía Filosofía Psicología Educación Cívica Economía Inglés
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Syllabus Syllabus - Semestral Semestr al 2018-I
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problemas con ecuaciones lineales y cuadráticas, problemas con inecuaciones y ecuaciones diofánticas.
Prof.:............................................................
8ª SEMANA: EMANA: PROBLEMAS DE EDADES Problemas de edades con tiempos diferentes y con años de nacimiento.
1ª SEMANA: EMANA: RAZONAMIENTO LÓGICO Juegos de ingenio, certezas, máximos y mínimos, relaciones de tiempo y parentesco, distribuciones numéricas.
9ª SEM EMANA ANA:: PROBLEMAS DE CRONOMETRÍA Campanadas, tiempos transcurridos, adelantos, atrasos y ángulos en un reloj con manecillas.
2ª SEMANA: EMANA: RAZONAMIENTO ANALÍTICO Manejo de datos, verdades y mentiras, orden de información.
10ª SEMANA: PROBLEMAS DE FRACCIONES Relación parte-todo, variaciones sucesivas, fracción de fracción, reducción a la unidad, mezclas.
3ª SEM EMANA: ANA: LÓGICA PROPOSICIONAL Tablas de verdad, reconstrucciones, leyes lógicas, simplificación de esquemas. 4ª SEM EMANA: ANA: LÓGICA PROPOSICIONAL II Circuitos lógicos, compuertas lógicas, cuantificadores universal y existencial, lógica inferencial.
11ª SEMANA: TANTO POR CIENTO Relación parte-todo, aumentos y descuentos sucesivos, variación porcentual, aplicaciones comerciales, mezclas.
5ª SEM EMANA: ANA: RAZONAMIENTO RAZONAMIENTO INDUCTIVO Y DEDUCTIVO Inducción, deducción, cifras terminales, criptoaritmética, habilidad operativa.
12ª SEMANA: SUCESIONES, SERIES Y SUMATORIAS. Ley de formación, sucesiones notables, series notables, sumatorias y la notación sigma, series geométricas finitas e infinitas, sumas límites.
6ª SEM EMANA: ANA: OPERACIONES MATEMÁTICAS MATEMÁTICAS Operaciones binarias, operaciones con reglas explícita e implícita, propiedades de las operaciones.
13ª SEMANA: PSICOTÉCNICO Y RAZONAMIENTO ABSTRACTO Sucesiones numéricas y alfabéticas, sucesiones gráficas, analogías numéricas y gráficas, distribuciones gráficas o secuencias, semejanzas gráficas y aptitud
7ª SEMANA: EMANA: PROBLEMAS CON ECUACIONES E INECUACIONES Repres Rep resent entació aciónn litera literall mat matemát emática, ica, 2
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Syllabus Syllabus - Semestral Semestr al 2018-I
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espacial, envolvimiento geométrico (cubos) test de domino, test de comprensión mecánica, vistas y sólidos.
5ª SEM EMANA ANA:: Inclusión de enunciados. Campo semántico: Términos incluidos e implicancia.
14ª SEMANA: CONTEO DE FIGURA Y RECORRIDO EULERIANOS Métodos de conteo de figuras, trazos de figuras (recorridos Eulerianos).
6ª SEM EMANA: ANA: Estrategias de Comprensión de Lectura: Aproximación, síntesis. Exclusiones
Tema central, 7ª SEM EMANA: ANA: Macroestructura: Tema idea principal, título. Oraciones incompletas.
BIBLIOGRAFÍA: • Psicoté Psicotécnic cnico, o, Manu Manuel el Cove Coveñas ñas Naqui Naquiche che • Psicot Psicotéc écnic nico, o, Hugo Hugo Vera Vera Duart Duartee • Razona Razonamie miento nto Matemát Matemático ico,, Alejand Alejandro ro Torres Lozano • Razonam Razonamien iento to Mat Matemá emático tico,, Herná Hernánn Hernández • Razonam Razonamien iento to Mate Matemát mático, ico, Félix Félix Aucallanchi Velásquez • Razonami Razonamiento ento Mat Matemáti emático, co, Adolfo Adolfo Povis Povis
8ª SEMANA: EMANA: Nivel de comprensión literal. Denotación, connotación, significado contextual. 9ª SEM EMANA: ANA: Nivel de comprensión inferencial. Deducciones, inducciones, extrapolaciones, la ironía y el doble sentido.
crítico . Textos Textos argumen10ª SEMANA: Nivel crítico. tativos. Tesis, argumentos: tipos, contrargumentación.
Prof.:............................................................
11ª SEMANA: Superestructura. Superestructu ra. Texto Texto expositivo. Clases.
1ª SEMANA: EMANA: Elementos cohesivos y de coherencia: Referentes textuales. Campo semántico: Hiperonimia, hiponimia y cohiponimia.
12ª SEMANA: Textos narrativos y descriptivos. Propósito, características y tipos. 13ª SEMANA: Análisis de imágenes. Significados. Características y funciones. Tipos de imágenes: Carteles, afiches, propaganda, imágenes publicitarias, imágenes subliminales, propaganda política.
2ª SEMANA: EMANA: Marcadores textuales. Campo semántico: Homonimia. 3ª SEM EMANA: ANA: Oraciones eliminadas. Campo semántico: Paronimia.
discontinuos. La infografía. 14ª SEMANA: Textos discontinuos. BIBLIOGRAFÍA:
4ª SEM EMANA: ANA: Plan de redacción. Campo semántico: Sinonimia y antonimia.
• Boleti Boletines nes de de CEPRE CEPRE UNCP UNCP y otros otros CenCentros preuniversitarios preuniversitarios 2015 3
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Syllabus Syllabus - Semestral Semestr al 2018-I
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• Boletine Boletiness de difer diferente entess univer universida sidades des del del país. • Razona Razonamie miento nto Verb Verbal. al. Wilfre Wilfredo do González. • Propedéu Propedéutica tica de Razonami Razonamiento ento Verbal Verbal.. Academia ADUNI.
Newton, principio de Arquímedes, restos potenciales, principales criterios de divisibilidad. 6ª SEM EMANA: ANA: NÚMEROS PRIMOS Clasificación de los enteros positivos según su cantidad de divisores, descomposición canónica, estudio de los divisores de un número compuesto, propiedades.
Prof.:............................................................
7ª SEM EMANA: ANA: MCD - MCM Interpretación del MCD y MCM, teoremas. Métodos de cálculo, algoritmo de Euclides, propiedades, problemas razonados.
1ª SEMANA: EMANA: TEORÍA DE CONJUNTOS Determinación, clasificación, relación de pertenencia, relación entre conjuntos, operaciones entre conjuntos; diagrama de Venn Euler, Euler, Lewis Carroll y lineales. linea les.
8ª SEMANA: EMANA: NÚMEROS FRACCIONARIOS Fracción, clasificación, fracciones equivalentes, propiedades. Clasificación de los números decimales, determinación de la cantidad de cifras decimales exactas y periódicas, cálculo de la fracción generatriz.
2ª SEMANA: EMANA: NUMERACIÓN: NUMERACIÓN: Sistema Sistema de numeració numeración, n, base de un sistema de numeración, principios fundamentales, descomposición polinómica, conversión de sistemas. 3ª SEM EMANA: ANA: CONTEO DE NUMERALES: NUMERALES: Progresión aritmética, cantidad de cifras y paginación, conteo de números método combinatorio.
9ª SEM EMANA: ANA: POTENCIACIÓN Y RADICACIÓN Potenciación, teoremas fundamentales, cuadrado y cubo perfecto, carácteres de exclusión e inclusión; radicación, raíz cuadrada y cúbica por defecto y exceso, propiedades.
4ª SEM EMANA: ANA: CUATRO OPERACIONES: Adición, sumas notables; Sustracción, resta notable, complemento aritmético; multiplicación, casos y propiedades; división exacta e inexacta por defecto y por exceso, propiedades.
10ª SEMANA: RAZONES Y PROPORCIONES Razón aritmética y geométrica, proporciones aritméticas y geométricas, continuas y discretas; serie de razones geométricas equivalentes, propiedades. Promedios clases y propiedades.
5ª SEM EMANA: ANA: DIVISIBILIDAD Divisor y módulo, principios funda-mentales, operaciones con módulos, binomio de 4
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Syllabus Syllabus - Semestral Semestr al 2018-I
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• PROBLE PROBLEMA MAS S SELECT SELECTOS OS DE ARIT ARITMÉTICA. Carlos Pacheco Azaña. Editorial San Marcos. • ARITM ARITMÉTI ÉTICA CA RAZO RAZONAD NADA. A. Mari Mario o silva silva Santisteban. Colección GOÑI • MATE MATEMÁ MÁTI TICA CA 1000 1000 PROBLE PROBLEMA MAS. S. Marcos Medina, Consorcio Capricornio. • ARITMÉT ARITMÉTICA ICA Y ÁLGEBRA. ÁLGEBRA. Colección Colección algoritmo. • ARITMÉT ARITMÉTICA ICA CURSO CURSO COMP COMPLET LETO. O. L . Hidalgo y F. Vallenas. Colección SIGMA.
11ª SEMANA: PROPORCIONALIDAD Relación entre magnitudes directas e inversas, representación gráfica en el plano cartesiano, propiedades; reparto proporcional, regla de compañía. 12ª SEMANA: REGLA DE TRES Regla de tres simple, directa e inversa, regla de tres compuesta, fórmula general, regla del tanto por ciento. 13ª SEMANA: REGLA DE INTERÉS SIMPLE Y COMPUESTO - DESCUENTO Regla de interés, tiempo, tasa de interés, fórmulas usuales, propiedades; monto; interés compuesto, capitalizaciones. Cálculo del monto en interés compuesto. Descuento comercial y racional. Letra de cambio. Relación entre descuentos. Intercambio de letras y vencimiento común. Aplicaciones.
Prof.: ............................................................ 1ª SEMANA: EMANA: MONOMIO Y POLINOMIO • Grado Grado de un monom monomio io y de un polin polinomio omio.. • Valor numé numérico rico.. Valor Valores es numéri numéricos cos notables. • Poli Polino nomi mios os espe especia ciale les. s. 2ª SEMANA: EMANA: PRODUCTOS NOTABLES • Ide Identi ntidad dades es fun fundam dament entale ales. s. • Ide Ident ntida idades des con con condi condició ción. n.
14ª SEMANA: REGLA DE MEZCLA Regla de mezcla directa e inversa, precio preci o medio; mezcla alcohólica, pureza o grado de alcohol, grado medio, aleaciones y leyes.
3ª SEM EMANA: ANA: DIVISIÓN DE POLINOMIOS Y COCIENTES NOT NO TABLES • Mé Métod todos os de de Horne Hornerr y Ruf Ruffin fini.i. • Teo eore rema ma del del Res Resto to.. • Cocien Cocientes tes Nota Notable bles: s: propi propieda edades des y tértérmino de lugar "k".
BIBLIOGRAFÍA: • ARITMÉT ARITMÉTICA ICA 201 2011 1 LA ENCICLO-P ENCICLO-PEEDIA. Ediciones RUBIÑOS. • P RO RO BL BL E EM M AS AS DE DE AR AR IT IT MÉ MÉ TI TI CA CA Y COMO REOLVERLOS. Nueva colección RACSO. • ARITMÉT ARITMÉTICA. ICA. Oscar Oscar Farfán Farfán Alarcón. Alarcón. Editorial San Marcos. • ARITMÉT ARITMÉTICA ICA PARA POSTULAN POSTULANTES TES A INGENIERÍA. Hernán Hernández. EDISAF.
4ª SEM EMANA: ANA: FACTORIZACIÓN . • Factor Factor comú común: n: mono monomio mio,, polino polinomio mio,, agrupamientos. • Iden Identid tidade ades: s: TCP TCP.. Incomple Incompletos tos.. 5
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Syllabus Syllabus - Semestral Semestr al 2018-I
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• Aspa Aspa simple, simple, aspa aspa doble doble,, aspa aspa doble doble especial. • Evalua Evaluación ción o ddivis ivisore oress binómi binómicos. cos. • Arti Artififici cios os var varia iado dos. s.
• Desigualdad, definiciones, teoremas. • Inte Interval rvalos, os, clasificaci clasificación, ón, operacione operaciones. s. 10ª 10ª SEMANA SEMANA:: INECUACIONES • Inecuaciones de primer grado (numéricas y literales) • Ine Inecua cuacio ciones nes de de segund segundo o grado grado,, trinomio de segundo grado positivo positi vo y no negativo, teoremas. • Ine Inecua cuacion ciones es fracci fracciona onaria rias. s. • I n ec ec u ac ac i on on eess c on on f un un c io io n es es exponenciales e irracionales.
5ª SEM EMANA: ANA: ECUACIONES DE PRIMER GRADO Y SEGUNDO GRADO • Ecuación Ecuación linea lineal:l: forma forma ggener eneral. al. Discusión. Discusión. • Ecuac Ecuación ión de de segund segundo o gra grado: do: méto métodos dos de solución, naturaleza de sus raíces, propiedades, construcción. 6ª SEM EMANA: ANA: POTENCIACIÓN DE POLINOMIOS • Fact Factor oria ial:l: prop propied iedad ades es.. • Núm Número ero com combina binator torio: io: propied propiedade ades. s. • Bino Binomi mioo ddee Newt Newton on..
11ª SEMANA: VALOR ABSOLUTO • Defin efinic ició iónn. • Prop Propie ieda dade dess , teo teore rema mas. s. • Ecuac Ecuacion iones es co conn valor valor abso absolut luto, o, teo teorem remas. as. • Ine Inecua cuacio ciones nes con con valor valor absol absoluto uto , teoteoremas.
7ª SEM EMANA: ANA: MATRICES MATRICES Y DETERMINANTES • Def Defin inici ición, ón, orde ordenn de una una matriz matriz.. • Ig Igua ualda ldadd de ma matr tric ices es.. • Mat atri rice cess espe especi cial ales es.. • Oper Operac acion iones es con con mat matri rice ces. s. • Det Determ erminan inante te de orden orden dos dos y tres tres.. ProPropiedades fundamentales de los determinantes.
12ª 12ª SEMANA SEMANA:: FUNCIONES I • Par ordenado ordenado,, iguald igualdad ad de pares pares orde orde-nados, relación binaria, dominio y rango. • Funcio Funciones nes:: domini dominio o y rango rango de de una funfunción lineal , constante, constante, cuadrática, cuadrática, de una función fraccionaria, raíz cuadrada, valor absoluto. • Gráf Gráfic icas as , disc discus usió ión. n.
8ª SEMANA: EMANA: SISTEMA DE ECUACIONES LINEALES DE DOS Y TRES VARIABLES. • Con Condic dicion iones es de com compat patibi ibilid lidad ad e incompatibilidad. • Mét Métodos odos de soluci solución. ón. Int Interpr erpreta etación ción geométrica. • Propie opieda dade des. s.
13ª SEMANA: FUNCIONES II • Función inyectiva, función sobreyectiva, función biyectiva, funciones creciente y decreciente, función máximo entero, función inversa. • Gráficas
9ª SEM EMANA: ANA: DESIGUALDADES E INTERV IN TERVALOS ALOS 6
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Syllabus Syllabus - Semestral Semestr al 2018-I
14ª SEMANA: LOGARITMOS • Propi Propieda edades des,, sist sistema emas, s, cam cambio bioss de base. base. • Cologar Cologaritmo, itmo, anti antiloga logarit ritmo, mo, propieda propiedades. des. • Ecua Ecuaci cione oness loga logarí rítm tmic icas as.. • Gráfico Gráfico de fun función ción logarít logarítmica mica.. • Aplic Aplicac acion iones es al dom domini inio o y rango rango.. BIBLIOGRAFÍA: • ÁLGEBRA ÁLGEBRA Teoría eoría y P Probl roblemas: emas: Jorge Jorge Quijano Hiyo. • ÁLGE ÁLGEBR BRA A 5to 5to.. Pre Pre : Racso Racso Edit Editore oress • ÁLGEBRA ÁLGEBRA Teoría eoría y Problema Problemas: s: Jo José sé Martinez Eyzaguirre • ÁLGEBR ÁLGEBRA A Tomos I y II: Máx Máximo imo Billó Billón n B. • ÁLGEBRA ÁLGEBRA Teoría eoría y Probl Problemas: emas: Carlos Carlos Matos Torres. • ÁLGEBRA ÁLGEBRA Didáctica Didáctica Preunive Preuniversita rsitaria: ria: César Alva. • ÁLGE ÁLGEBRA BRA Cole Colecci cción ón Lumbre Lumbrera ras. s. • ÁLGEBR ÁLGEBRA A Colecció Colecciónn Espart Espartaco. aco.
Prof.:............................................................ 1ª SEM EMANA ANA SEGMENTOS • Recta Recta semir semirect ecta, a, rayo, rayo, segm segment ento, o, punpunto medio de un segmento, operaciones con segmentos.
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2ª SEM EMANA: ANA: TRIÁNGULOS I • Def Defini inició ción, n, clasifica clasificació ción, n, propieda propiedades des básicas, suma de ángulos internos, suma de ángulos externos, existencia existencia de un triángulo, líneas notables, altura mediana, mediatriz, bisectriz, ceviana, ángulo formado por líneas notables. 3ª SEM EMANA: ANA: TRIÁNGULOS II • Casos Casos de de congru congruenc encia, ia, teor teorema ema de de la bisectriz, teorema de mediatriz, teorema de los puntos medios, mediana relativa a la hipotenusa de un triángulo rectángulo. 4ª SEMANA: POLÍGONOS • Definición Definición,, clasificaci clasificación, ón, fórmulas, fórmulas, números de diagonales, suma de ángulos internos, externos, etc. 5ª SEMANA: CUADRILÁTEROS • Trapezoid rapezoides, es, trap trapecios ecios,, propie propiedade dadess en los trapecios, paralelogramos, clafisicación y propiedades. 6ª SEMANA: CIRCUNFERENCIAS I y II • Definici Definición, ón, elem elemento entos, s, propieda propiedades, des,
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Syllabus Syllabus - Semestral Semestr al 2018-I
7ª SEM EMANA: ANA: PUNTOS NOTABLES • Ortocent Ortocentro, ro, baricentr baricentro, o, incen incentro, tro, circuncentro, excentro y cevacentro, propiedades.
• Áreas Áreas de de region regiones es Curva Curvas: s: Círcu Círculo, lo, sector circular, segmento circular, cuadrante, corona circular, propiedades, longitud de la circunferencia, longitud del arco.
8O SEMANA: TEOREMA DE THALES • Lem Lema a de Thal Thales, es, teor teorema ema de de la bisect bisectriz riz,, teorema del incentro. SEMEJANZA DE TRIÁNGULOS: • Relaci Relación ón entre entre eleme elemento ntoss homólo homólogos gos,, casos de semejanza.
13° SEMANA: GEOMETRÍA DEL ESPACIO I • Criterios Criterios básicos: básicos: punto punto,, recta, recta, plano plano.. Determinación de un plano, ángulo entre recta y plano, ángulo entre dos rectas alabeadas, teorema de las tres perpendiculares. Diedro, medida del diedro. Poliedros regulares, tetraedro regular, hexaedro regular (cubo), octaedro regular, dodecaedro regular, icosaedro regular. Propiedades.
9O SEMANA: RELACIONES MÉTRICAS EN TRIÁNGULOS RECTÁNGULOS • Teo eore rema ma de de Pitá Pitágor goras. as. RELACIONES MÉTRICAS EN LA CIRCUNFERENCIA: • Teorema eorema de de Cuerd Cuerdas, as, secan secantes, tes, tangente y secante. 10º SEMANA: POLÍGONOS REGULARES • Elemen Elementos tos,, Polígo Polígonos nos regula regulares res notables: triángulo equilátero, cuadrado, hexágono regular, octágono regular, etc. 11° SEMANA: ÁREAS I • Áreas Áreas de regiones regiones triangula triangulares, res, fórmulas fórmulas y propiedades. Áreas de cuadriláteros,
14° SEMANA: GEOMETRÍA DEL ESPACIO II • Prismas, Prismas, defi definició nición, n, eleme elementos ntos,, fórmulas de superficie lateral, total y volumen, pirámides, definición elementos, formulas de áreas lateral, total y volumen. Esfera, superficie y volumen. BIBLIOGRAFÍA: • Editori Editorial al Cuzc Cuzcano: ano: Didy Ricra Ricra Osorio Osorio • GEOM GEOMET ETRÍA RÍA DE DE PRIME PRIMER R NIVEL NIVEL:: Ernesto Quispe R. • Folletos Folletos de Geom Geometr etría: ía: Luis Ubaldo Ubaldo Caballero
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Syllabus Syllabus - Semestral Semestr al 2018-I
Prof.:............................................................ 1º SEM EMANA: ANA: RAZONES TRIGONOMÉTRICAS • Razone Razoness trigon trigonomé ométr trica icass respect respectoo de un ángulo agudo. • Razone Razoness trigon trigonomé ométri tricas cas de de ángulo ánguloss notables. • Razone Razoness trigono trigonomét métrica ricass gráfica. gráfica. 2º SEM EMANA: ANA: RESOLUCIÓN DE TRIÁNGULOS RECTÁNGULOS • Razone Razoness trigon trigonomé ométri tricas cas de de ángulo ánguloss Complementarios. • Razone Razoness trigon trigonomé ométri tricas cas de de ángulo ánguloss Recíprocas. • Resoluci Resolución ón de de triáng triángulo ulo rectáng rectángulo ulo.. • Ángu Ángulo loss vert vertica icale les. s. 3º SEM EMANA: ANA: ELEMENTOS DE LA GEOMETRÍA ANALÍTICA • Radi Radioo vect vector or.. • Dista Distanci nciaa entr entree dos dos punto puntos. s. • Divisió Divisiónn deun segme segmento nto en en una una razón razóndada dada.. • Bari Baricen centr troo de un tri triáng ángulo ulo.. • Punto Punto med medio io de un seg segmen mento. to. 4º SEM EMANA: ANA: ECUACIÓN LA RECTA Y LA CIRCUNFERENCIA
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5º SEMANA: EMANA: R.T. DE ÁNGULOS DE CUALQUIER MAGNITUD • R.T. R.T. de un ángulo ángulo en posici posición ón normal normal.. • Ángu Ángulo lo cua cuadr dran anta tal. l. • Signo Signo de de la la razon razones es trig trigonom onométr étricas. icas. • Razone Razoness trigono trigonomét métric ricas as de ángul ángulos os cuadrantales. 6º SEM EMANA: ANA: REDUCCIÓN AL 1ER CUADRANTE • Red Reducc ucció iónn al 1er cua cuadra drante nte.. • Teo eore rema ma fund fundam amen enta tal.l. • Caso Casoss de de red reduc ucci ción ón.. • Ángulos Ángulos relacio relacionad nados os ent entre re sí. • Prop Propie ieda dade des. s. 7º SEM EMANA: ANA: CIRCUNFERENCIA TRIGONOMÉTRICA • Arco Arco en en pos posici ición ón no norma rmal.l. • Seno Seno y cosen cosenoo de un un arco arco en pos posici ición ón normal. • Variac ariación ión del seno seno.. • Variac ariación ión del cosen coseno. o. • Tang angente ente de un un arco arco en en posici posición ón normal. • Variac ariación ión de de la tang tangen ente te.. 8º SEMANA: EMANA: IDENTIDADES TRIGONOMÉTRICAS • Ide Identi ntidad dades es trigon trigonomé ométri tricas cas.. • Ide Identi ntidad dades es trigono trigonomét métri ricas cas fundafundamentales.
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9º SEM EMANA: ANA: IDENTIDADES TRIGONOMÉTRICAS DE ÁNGULOS COMPUESTOS • Seno Seno y cosen cosenoo de la suma suma o dife diferenc rencia ia de dos ángulos. • Tange angente nte y cotang cotangente ente de la suma o diferencia de dos ángulos. • Fórm Fórmul ulas as esp espec ecia iale les. s. • Propi opiedad edades es.. 10º SEMANA: IDENTIDADES TRIGONOMÉTRICAS DE ÁNGULOS MÚLTIPLES • Seno Seno y cosen cosenoo del del ángul ánguloo doble doble.. • Tang angent entee del áng ángulo ulo dobl doble. e. • Iden Identida tidades des auxi auxiliar liares es del del ángulo ángulo dobl doble. e. • Seno, Seno, co coseno seno y tange tangente nte del del án ángulo gulo mitad. mitad. • Fórm Fórmul ulas as rela relacio ciona nada das. s. 11º SEMANA: TRANSFORMACIONES TRIGONOMÉTRICAS. • Transform ransformacio aciones nes de de suma suma o dife diferenc rencia ia a producto. • Transfo ransforma rmacio ciones nes espec especial iales. es. • Propieda Propiedades des de transfor transformacio maciones nes con ángulos relacionados. • Transfor ransformaci macione oness de prod producto ucto a suma suma o diferencia. • Propi opiedad edades es.. 12º SEMANA:
Syllabus Syllabus - Semestral Semestr al 2018-I
13º SEMANA: FUNCIONES TRIGONOMÉTRICAS • Defin efinic ició iónn. • Graf Grafica icass de la func función ión sen seno, o, cosen cosenoo • Cálcul Cálculo o de de Rang Rangoo y Dom Domini inio. o. • Propi ropied edad ades es.. 14º SEMANA: ECUACIONES TRIGONOMÉTRICAS • Ecua Ecuaci ción ón trigo trigono nomé métr trica ica.. • Solucione Solucioness princip principales ales y/o elem element entales. ales. • Mé Métod todos os de resol resoluci ución ón.. • Propi ropied edad ades es.. BIBLIOGRAFÍA: • Trigonometría in Advance : A d r i a n Ynfanzon • Matem atemát átic ica a III III : Centro Centro Pre Pre UNMS UNMSM M • Trigo rigono nome metr tría ía : Jorge Jorge Quisp Quispee M. • Trigonometría Ni Nivel Pr Pre: E d i t o r i a l Racso (Juan Carlos Sandoval PeñaAdrianYnfanzon) • Trigonom rigonometr etría. ía. Intro Introducc ducción ión al al Cálculo: Cálculo: Editorial Lumbreras • O l iim m pi pi a da da N a ci ci o na na l E sc sc o la la r d e Matem atemát átic ica: a: Jorge Jorge Tipe Tipe Espino Espinoza za y Claudio Espinoza Choqquepura • Trigono Trigonometrí metría a (I - VII). VII). Recopilació Recopilaciónn de: Editorial Cuzcano • SeminariosCEPRE-UNI (R ub én
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Syllabus Syllabus - Semestral Semestr al 2018-I
Prof.:............................................................ 1º SEM EMANA: ANA: TABLAS DE DISTRIBUCIÓN DE FRECUENCIAS: Conceptos, aplicación, elaboración de tablas de distribución de frecuencias. 2º SEM EMANA: ANA: ANÁLISIS COMBINATORIO I Factorial de un número. Principio de la adición y multiplicación. 3º SEM EMANA: ANA: GRÁFICOS ESTADÍSTICOS: ESTADÍSTICOS: Diagramas de barras, Histogramas simples y escalonados, Ojivas, polígonos de frecuencias. 4º SEM EMANA: ANA: ANÁLISIS COMBINATORIO II Permutación lineal, permutación circular, circular, permutación con lugares fijos y permutación con repetición. 5º SEM EMANA: ANA: MEDIDAS DE TENDENCIA CENTRAL I Media Aritmética, Moda y la Mediana para datos no agrupados.
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8º SEMANA: EMANA: ANÁLISIS COMBINATORIO IV Permutaciones, combinaciones, combinación con repetición. 9º SEM EMANA: ANA: MEDIDAS DE DISPERSIÓN I Desviación Media, Varianza, Desviación Estándar y Coeficiente de variación para datos no agrupados. agrupados. 10º 10º SEMANA: SEMANA: PROBABILIDAD I Extracción de bolitas, cartas, y objetivos en general, con reposición y sin reposición. 11º SEMANA: MEDIDAS DE DISPERSIÓN II Desviación Media, Varianza, Desviación Estándar y Coeficiente de variación para datos no agrupados. 12º 12º SEMANA: SEMANA: PROBABILIDAD II Lanzar dados, monedas, probabilidad con complementos, probabilidad con conjuntos. 13º SEMANA: MEDIDAS DE POSICIÓN Cuantiles (Cuartiles, Deciles y Percentiles)
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• PROBABIL PROBABILIDAD IDAD Y ESTADÍS ESTADÍSTICA TICA PARA INGENIERÍA Y CIENCIAS. Editorial Printice Hall Hispanoamericana. • E ST STA DÍ DÍ S ST T IIC CA PA PA R A INVESTIGADORES. Editorial Reverte, España • DISEÑO DISEÑO Y ANÁLISI ANÁLISIS S DE EXPE EXPERIM RIMENENTOS. Editorial Limusa S.A. Mexico • PROBABI PROBABILIDA LIDADES DES.. Edito Editorial rial Cuzcano. Cuzcano.
Prof.:............................................................ 1º SEMANA: EMANA: ANÁLISIS VECTORIAL 2º SEMANA: EMANA: MRU-MRUV 3º SEMANA: EMANA: MOVIMIENTO VERTICAL DE CAÍDA
Syllabus Syllabus - Semestral Semestr al 2018-I
8º SEMANA: EMANA: DINÁMICA RECTILÍNEA 9º SEM EMANA: ANA: DINÁMICA CIRCUNFERENCIAL 10º SEMANA: TRABAJO Y POTENCIA MECÁNICA MECÁNICA 11º SEMANA: ENERGÍA MECÁNICA 12º SEMANA: CANTIDAD DE MOVIMIENTO (CHOQUES) 13º SEMANA: ESTÁTICA DE FLUIDOS (HIDROSTÁTICA) 14º SEMANA: MOVIMIENT MOVIMIENTO O ARMÓNICO ARMÓNICO SIMPLE SIMPLE (MAS) Y PÉNDULO PÉNDULO SIMPLE
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Syllabus Syllabus - Semestral Semestr al 2018-I
Prof.:............................................................ 1ª SEMANA: EMANA: CALORIMETRÍA Cambio de temperatura – Cambio de Fase 2ª SEMANA: EMANA: TERMODINÁMICA Procesos termodinámicos - 1ra y 2da Ley de la Termodinámica –Máquinas Térmicas– Ciclo de Carnot 3ª SEMANA: EMANA: ELECTROSTÁTICA I Fuerza Eléctrica 4ª SEM EMANA: ANA: ELECTROSTÁTICA II Campo Eléctrico 5ª SEM EMANA: ANA:
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9ª SEMANA: EMANA: CAPACITORES Capacidad Eléctrica –Energía - Asociación de Capacitores - Leyes L eyes de Kirchhoff 10ª SEMANA: MAGNETISMO Imanes – Ley de Coulomb – Campo Magnético 11ª SEMANA: ELECTROMAGNETISMO I Inducción Magnética 12ª SEMANA: ELECTROMAGNETISMO II Fuerza Magnética 13ª SEMANA: ELECTROMAGNETISMO III Inducción Electromagnética 14ª SEMANA:
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Prof.:............................................................ 1º SEMANA: EMANA: MATERIA y ENERGÍA • Materia • Divi Divisi sión ón y cla clasif sifica icaci ción ón • Prop Propied iedad ades es de la mat materi eriaa • Esta Estado doss de la mat mater eria ia • Ecua Ecuacio ciones nes de Einst Einstei einn • Rela Relatitivi vida dad d de de la la mas masaa 2º SEMANA: EMANA: ESTRUCTURAATÓMICA-RADIACTIVID ATÓMICA-RADIACTIVIDAD AD • Núcl Núcleo eo Atóm Atómic icoo • Prop Propied iedad ades es del del núcleo núcleo atóm atómico ico • Tipos ipos de Núcl Núclid idos os • Isótopo • Isóbaros • Isótonos • Radi Radiac acti tivi vida dadd
Syllabus Syllabus - Semestral Semestr al 2018-I
5º SEMANA: EMANA: ENLACE QUIMICO • Definic nición • Estruct Estructura ura o repr represen esentac tación ión Lew Lewis is • Enlace Enlacess intera interatóm tómicos icos iónico iónico • Enlace Enlace Covale Covalente nte (Norm (Normal al – dat dativo ivo – polar y apolar) • Enla Enlace cess múlt múltip iple less • Enla Enlace ce m met etál álic icoo • Fuerz Fuerzas as interm intermole olecul culare aress 6º SEM EMANA: ANA: NOMENCLATURA INORGÁNICAS I • Reglas Reglas para para dete determin rminar ar los núme números ros de oxidación • Formul Formulació aciónn y nomenc nomenclatu latura ra de óxidos óxidos básicos • Formul Formulació aciónn y nomenc nomenclat latura ura de de óxidos óxidos ácidos • Formulac Formulación ión y nome nomenclat nclatura ura óxid óxidos os dobles – peróxidos • Formula Formulación ción y nomenc nomenclatu latura ra Hidr Hidróxi óxidos dos
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Syllabus Syllabus - Semestral Semestr al 2018-I
• Reac Reacci ción ón de de co comb mbus usti tión ón • Mé Métod todos os de bala balance nce de de ecuaci ecuacione oness por Tanteo (simple inspección) • Reac Reacci cion ones es Redo Redoxx • Balan alance ceoo Red Redox ox • Tipos ipos de reacc reaccion iones es Redo Redoxx • Mét étod odoo del del Ión Ión el elec ectr trón ón 9º Semana emana:: UNIDADES QUÍMICAS DE MASA • Con Concep ceptos tos básic básicos os (Ma (Masa sa at atómi ómica ca Masa molecular, etc..) • La mol • Núme Número ro de Avog Avogad adro ro • Cond Condic icion iones es no norm rmal ales es 10º SEMANA: ESTADO ESTADO GASEOSO G ASEOSO • Conc Concep epto toss bá bási sico coss • Prop Propie ieda dade dess gene genera rale less • Variabl ariables es de esta estado do (P(P-V V y T) • Teoría eoría ciné cinétic ticaa mol molecu ecular lar • Ecuació Ecuaciónn gener general al de de los los gases gases ideal ideales es • Ecuació Ecuaciónn univers universal al de los los gases gases ideale ideales. s.
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• Mezc Mezcla la de de so solu luci cion ones es • Neut Neutra raliliza zaci ción ón 13º SEMANA: EQUILIBRIO QUÍMICO • Velocid elocidad ad de de una una reac reacció ción. n. • Factor Factores es que que modifi modifican can la ve veloci locidad dad de de una reacción. • Cons Consta tant ntee de equ equili ilibr brio io.. • Const Constant ante e de presi presión. ón. • Princ Principi ipioo de Le Chate Chatelie lier r 14º SEMANA: ÁCIDOS Y BASES • Gen Genera eralid lidade adess de los ácid ácidos os y base basess • Teo eoría ría de ácid ácidos os y base bases. s. • Teoría eoría de Bronsted Bronsted y Lowry Lowry.. • Teo eorí ríaa de Gilb Gilber ertt Lewis Lewis • Fuerza Fuerza relati relativa va ddee ácido ácidoss y bases bases • pH • pOH BIBLIOGRAFÍA: CHANG CHANG,, Raymond Raymond.. Química. Química. 111º 1º EdiEdi-
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Syllabus Syllabus - Semestral Semestr al 2018-I
• Hidrocar Hidrocarbur buros os alicícl alicíclicos icos:: Ciclo Ciclo alcano alcanos, s, ciclo alquenos y ciclo alquinos. Prof.:............................................................ 1ª SEMANA: EMANA: QUÍMICA ORGÁNICA • Def Defini inició ción. n. Teor Teoría ía Vitali Vitalista sta.. • Caracter Característi ísticas cas de compu compuesto estoss orgáni orgánicos. cos. • Formas Formas de ca carbo rbono: no: Natur Naturale aless y artifiartificiales. • Alotr Alotrop opía ía del carbo carbono no.. 2ª SEM EMANA: ANA: PROPIEDADES QUÍMICAS DEL CARBONO • Tetravale etravalencia, ncia, cova covalenci lencia, a, autosa autosatura tura-ción e hibridación. • Hibr Hibrid idac ació iónn sp; sp; sp2 y sp3. • Tipos ipos de enlac enlaces es y tipos tipos de de cadena cadenass carcarbonadas. • Tipos de carbono carbono y tipos tipos de fórmu fórmulas. las. 3ª SEM EMANA: ANA: HIDROCARBUROS SATU-
6ª SEMANA: EMANA: COMPUESTOS AROMÁTICOS • El benceno eno. • Con Condi dici cione oness de aromat aromatici icida dad. d. • Deriva Derivados dos ddel el be bencen nceno o por sust sustituc itución: ión: Monosustituidos, disustituidos y polisustituidos. • Derivado Derivadoss del del bence benceno no por por cond condensa ensación: ción: Naftaleno, antraceno, fenantreno, etc. • Comp Compues uestos tos aromáti aromáticos cos hete heterocí rocíclico clicos. s. 7ª SEMANA: EMANA: ALCOHOLES Y ÉTERES • Fórmulas Fórmulas gene generale raless y grupos grupos funci funcional onales. es. • Tipos Tipos de de alcohol alcoholes: es: Por la la ubicaci ubicación ón del del grupo hidroxilo, por el número de "–OH" y por el tipo de cadena carbonada. • Nome Nomencla nclatura tura IUPAC IUPAC y comú comúnn de alco alco-holes y éteres. • Propied Propiedades ades físicas físicas y quí química micass de alco alco--
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Syllabus Syllabus - Semestral Semestr al 2018-I
• Nomenc Nomenclat latura ura IUP IUPAC AC y com común. ún. • Orden Orden de priorid prioridad ad en en la nome nomencla nclatur turaa IUPAC. • Reaccion Reacciones es de de nneutr eutraliz alización ación (sales (sales ororgánicas) • Prop Propie ieda dade dess fís físic icas as.. 10ª SEMANA: ÉSTERES • Fórmula Fórmula gene general ral y grupo grupo func funciona ional.l. • R e ac ac c iioo n es es d e : E st st eerr i fifi c ac ac i ón ón e hidrólisis. • Nom Nomenc enclat latura ura IUP IUPAC AC y com común. ún.
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14ª SEMANA: ENERGÍA DE LOS COMBUSTIBLES • Petr Petról óleo eo y sus de deri riva vado dos. s. • Etapas Etapas de exp explot lotació aciónn del del petról petróleo. eo. • Fraccio Fraccionami namient entoo del del petró petróleo leo crudo. crudo. • Gas na natural. • Gas Gasol olina ina e índic índicee de octano octano.. • Técnic Técnicas as ppara ara elev elevar ar el índi índice. ce. • Impo Importa rtancia ncia del petró petróleo leo en el el Perú. Perú.
Prof.:
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5º SEM EMANA: ANA: CITOLOGÍA GENERAL Teoría Celular. Célula Procariótica y Eucariótica. Célula animal y vegetal. sistema de endomembranas y organelos citoplasmáticos. 6º SEM EMANA: ANA: METABOLISMO METABOLISMO CELULAR CE LULAR Fotosíntesis y respiración celular. Vía glicolítica. Ciclo de Krebs y cadena respiratoria. 7º SEM EMANA: ANA:
Syllabus Syllabus - Semestral Semestr al 2018-I
13º SEMANA: DESARROLLO EMBRIONARIO Tipos de fecundación. Desarrollo preembrionario. Capas germinativas. Desarrollo fetal. Trabajo de parto. 14º SEMANA: GENÉTICA GENERAL. LEYES DE MENDEL. Herencia monohíbrida y dihíbrida. Herencia intermedia, codominancia y herencia ligada al sexo. BIBLIOGRAFÍA:
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Syllabus Syllabus - Semestral Semestr al 2018-I
• Solomon, Solomon, E. E. P.; P.; B Berg, erg, L. R. y D. Martin Martin.. Biología. 5ta edición. Editorial McGrawHill Interamericana. Interamericana . México. 2001. • Valcarc alcarcel, el, L. L. Biolog Biología ía Com Compen pendio dio.. 2da edición. Editorial Tarea Asociación Gráfica Educativa. Lima. 2000. • Vasq asquez uez,, C. Biolog Biología. ía. Edito Editoria riall Prisma Prisma Editores. Lima. 1992. • Villee Villee,, C. A. A. Biolog Biología. ía. 7ma 7ma edición edición.. EdiEditorial Interamericana. México. 1978. • Welch, Welch, C.; Arnon, Arnon, D D.. I. I.;; Coc Cochra hran, n, H. M.; M.; Erk, F.; Fishleder, J.; Mayer, W. ; Pius, S. M. ; Shaver, J. R. y F. W. Smith. Cien-
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4º SEM EMANA: ANA: SISTEMA INMUNE I Enfermedades infectocontagiosas. mecanismos y vías de infección. Inmunidad Natural o innata. Sistema de Complemento. Inflamación. 5º SEM EMANA: ANA: SISTEMA INMUNE II Órganos linfoides primarios y secundarios. Inmunidad adquirida. Anticuerpos. Protocolo de Vacunación.
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11º SEMANA: SISTEMA REPRODUCTOR HUMANO MASCULINO • Testí estículo culos. s. Escroto Escroto.. Vías Vías espermát espermáticas. icas. Pene. 12º SEMANA: SIST SISTEM EMA A REPRODUCTO REPRODUCTOR R HUMANO HUMANO FEMENINO. Genitales externos. Genitales internos. Ovarios. Oviducto. Útero. Vagina. fisiología del Ciclo menstrual. 13º SEMANA:
Syllabus Syllabus - Semestral Semestr al 2018-I
• Yokoch okochi,i, Ch Ch.;.; Rohen Rohen,, J.W. J.W. y E. E. L. Weinreb. Weinreb. Atlas fotográfico de Anatomía del Cuerpo Humano. 3ra edición. Editorial McGrawMcGrawHill Interamericana. México. 1991.
Prof.:............................................................ 1ª SEMANA: EMANA: TEORÍA LINGÜÍSTICA Lingüística, definición, disciplinas
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Syllabus Syllabus - Semestral Semestr al 2018-I
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7ª SEM EMANA: ANA: CATEGORÍAS CATEGORÍAS GRAMATICALES GRAMATICALES II. II . Definición, clasificación, ejemplificación y aplicación. • Pronombre • Verbo
13ª SEMANA: LITERATURA PERUANA II Literatura de la República. Contexto, características, representantes y obras. Costumbrismo, Romanticismo, Realismo, Modernismo, generaciones.
8ª SEM EMANA: ANA: LITERATURA LITERATURA UNIVERSAL III I II Contexto histórico cultural, características, características, principales representantes. representantes. • Modernismo smo • Post Postmo mode dern rnis ismo mo • Vangua nguarrdism dismoo
14ª SEMANA: LITERATURA REGIONAL La versión oral. Historias, anécdotas, relatos, tradiciones, cuentos, leyendas, fábulas de la región Junín. La versión escrita. esc rita. BIBLIOGRAFÍA:
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Prof.:............................................................
Syllabus Syllabus - Semestral Semestr al 2018-I
REINO PROTISTA: Características generales. Clasificación e importancia. REINO FUNGI: Características generales. Clasificación e importancia.
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10º SEMANA: EL ENTORNO NA N ATURAL I BIOMAS: Definición, clasificación, características.
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• BRACK BRACK EGG EGG, Antoni Antonio. o. El El ambiente ambiente en que Vivimos; Edit. Salesiana, Lima Perú, 1975. • BRACK BRACK EGG EGG,, A Anton ntonio. io. Ecolog Ecología ía del del
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Prof.:............................................................
Syllabus Syllabus - Semestral Semestr al 2018-I
7ª SEM EMANA: ANA: AMÉRICA COLONIAL. Organización e importancia.
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Syllabus Syllabus - Semestral Semestr al 2018-I
14ª SEMANA: SIGLO XX: PERÚ CONTEMPORÁNEO. Economía política en el Perú actual.
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Prof.: ............................................................
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8º SEM EMANA: ANA: EUROPA FEUDAL II. Baja Edad Media.
Syllabus Syllabus - Semestral Semestr al 2018-I
BIBLIOGRAFÍA: • Álvar Álvarez ez Oses Oses,, José: José: "His "Histor toria ia de las las Civilizaciones y del Arte. • Bustón Bustón Thomas Thomas:: "Mijai "Mijaill Gorva Gorvachov chov""
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