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Universidad Simón Bolívar
Preparadurías de Matemáticas
CLASES DE PREPARADURIAS COMPLETA:
MATEMÁTICAS 1
TRIMESTRE
SEPTIEMBRE – DICIEMBRE 2011
Profesor asignado: Valera, um!erto"
Previo:
Septiembre Di!iembre "##$, Profesor asignado: Monte%&ma' Aida
Preparador:
Mig&e( )&%m*n
In#eniería Mecánica $%&
Sartene'as( Septiem!re )$*)
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TEMARIO+
Prepa del: ,iernes -#./."#11
• +esi#ualdades con valor a!soluto"• +emostraciones Primer Parte
• Rectas circun-erencias"
Prepa del: ,iernes $ 1# "#11
• .unciones /+ominio, ran#o, composición, #ra-icación, inversa0
• Recta circun-erencia
Prepa del: L&nes 1# 1# "#11 REPASO PRIMER PARCIAL
• Recta, circun-erencia• +esi#ualdad
• .unciones
• +emostraciones
Prepa del: ,iernes "1 1# "#11
• 1imites de -unciones continuas
• Indeterminación
• 1imites por de-inición"
• 1imites al in-inito
• 1imites tri#onom2tricos"
Prepa del: ,iernes "0 1# "#11
• Más e'ercicios de límites"
• Teorema de Valor intermedio
• 3ontinuidad de -unciones"
• +erivada por propiedades
Prepa del: ,iernes 11 "#11
• 4síntotas"
• 3ontinuidad di-erencia!ilidad
• +erivada por re#las
• +erivada por de-inición"
• Más e'ercicios de límites"
• 4plicación de derivada /re#la tan#ente0
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Prepa del: REPASO SE)U2DO PARCIAL+
• 3ontinuidad discontinuidad de -unciones"
• 4plicación de la derivada /Recta tan#ente0
• Teorema de valor intermedio"
• 1imites
Prepa del: ,iernes 11 11 "#11
• +erivación implícita
• Re#la de derivadas
• +erivada de orden superior
• Má5imos mínimos" 3riterio de primera derivada"
• Valores críticos
• 6ra-icación de -unciones"
Prepa del: ,iernes 10 11 "#11
• Má5imos mínimos de -unciones
• 6ra-icación
• 7ptimi8ación /Pro!lemas de má5imos mínimos0
• Prepa del: ,iernes "3 11 "#11
• Teorema de rolle
• Teorema de valor medio"
• 6ra-icación de -unciones"
• 7ptimi8ación" /Pro!lemas de má5imos mínimos0
Prepa del: ,iernes 3 1" "#11 REPASO TERCER PARCIAL+
• +erivada /má5imos mínimos0
• +erivada /re#la de la cadena0"
• 1imite /19optial0
• +erivación implícita
• 6ra-icación"
• 7ptimi8ación"
Preparado por: Mi#uel 6u8mán
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