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Matemáticas - 2º de Bachillerato Matemáticas 2º de Bachillerato La asignatura de Matemáticas es una materia de tipo Troncal que se estudia en 2º de Bachillerato y está dirigida a los alumnos de la modalidad de Ciencias .
En esta sección encontrarás todo el contenido de la materia , el programa de la asignatura , los bloques y los temas del contenido correspondiente al temario de Matemáticas . También puedes consultar en el siguiente enlace los libros más recomendados de Matemáticas para 2º de Bachillerato .
Descripción de la asignatura Matemáticas - 2º de Bachillerato Qué se estudia en Matemáticas II La materia de Matemáticas II en 2º de Bachillerato, se presenta dentro de la modalidad de Ciencias como una continuación de la asignatura
Matemáticas I de 1º de Bachillerato . La materia, te ayudará a comprender mejor algunos de los conceptos de otras asignaturas de la modalidad como química, física, Dibujo técnico o Biología en las que las matemáticas son una herramienta básica.
La primera parte de la asignatura está dedicada al Álgebra lineal y en ella aprenderás conceptos y herramientas relacionadas con las matrices y los determinantes ; Resolución, cálculo de inversas y operaciones con matrices. El bloque de Geometría está dedicado principalmente al estudio de los vectores , producto escalar, ecuaciones recta-plano y resolución de problemas de distancias, ángulos, áreas y volúmenes. En el bloque de Análisis , adquirirás conceptos relacionados con los límites , asíntotas y continuidad de funciones. Aprenderás a calcular funciones derivadas y sus aplicaciones y terminarás aprendiendo herramientas y sistemas para el cálculo de funciones integrales o primitivas. Materiales de apoyo y refuerzo Matemáticas - 2º de Bachillerato Materiales recomendados para Matemáticas II Puede resultar de gran ayuda para el estudio y superación de la asignatura alguno de estos libros de Matemáticas II recomendados para 2º de Bachillerato. En ellos encontrarás las explicaciones completas de los contenidos del temario de Matemáticas II así como multitud de ejercicios cuestiones y problemas resueltos paso a paso.
Para la preparación de las Pruebas de Evaluación para el Acceso a la Universidad Selectividad PEBAU EvAU pueden resultar de gran ayuda estos libros de preparación selectividad Matemáticas II
Recuerda que para poder resolver muchos problemas y ejercicios de esta asignatura, será necesario que utilices una calculadora científica. Si no tienes, es el momento de conseguir una. En este enlace puedes encontrar una de las calculadoras científicas más recomendadas en los institutos que además te servirá para las Pruebas de Acceso a la Universidad y los estudios universitarios de Grado.
Contenidos y temario de Matemáticas - 2º de Bachillerato Matrices Estudio de matrices. Clasificación de matrices. Dimensiones y tipos de matrices. Operaciones con matrices. Suma. Producto por un número. Producto de matrices. Cálculo de la Matriz Inversa. Cálculo de la Matriz transpuesta. Método de Gauss-Jordan. Cómo se calcula el rango de una matriz. Resolución de problemas mediante operaciones y propiedades de las matrices. Determinantes Definición y tipos de determinantes. Propiedades de los determinantes. Cálculo de determinantes. Representación matricial de un sistema de ecuaciones lineales. Resolución de problemas relacionados. Geometría Vectores en el espacio. Dependencia e independencia lineal. Producto escalar. Producto vectorial. Producto mixto. Significado e interpretación geométrica de vectores y operaciones. Angulo de dos vectores. Ecuaciones de la recta y el plano en el espacio. Resolución de problemas de posiciones relativas entre rectas y planos. Resolución de problemas métricos relacionados con el cálculo de: .Ángulos. Distancias. Áreas. Volúmenes. Análisis. Límites Concepto y cálculo de límites. Limites infinitos y en el infinito. .Cálculo e interpretación de asíntotas. Estudios de continuidad de una función. Continuidad en un punto. Continuidad en un intervalo. Tipos de discontinuidad. Interpretación geométrica y física del concepto de derivada de una función en un punto. Derivadas Cálculo de funciones derivadas. Derivada de la suma. Derivada del producto. Derivada del cociente de funciones. Derivada de la función compuesta. Aplicación de la derivada. Propiedades locales de una función. Problemas de optimización. Estudio gráfico. Integrales Introducción al concepto de integral definida a partir del cálculo de áreas encerradas bajo una curva. Teorema fundamental del cálculo. Aplicaciones de la regla de Barrow. Cálculo de integrales inmediatas. Técnicas elementales para el cálculo de primitivas. Sistema de integración por partes. Integración mediante cambio de variable. Integración mediante descomposición en fracciones simples. Aplicación al cálculo de áreas de regiones planas. Todo el Bachillerato en un clic