Integrals | Some Properties Of Definite Integrals lesson Plan and Notes :: Danielitte

Maths ( 104-12 )

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Relations And Functions

Introduction

Introduction
Notes PPT MCQs

Types Of Relations

Types Of Relations
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Types Of Functions

Types Of Functions
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Composition Of Functions And Invertible Functions

Composition Of Functions And Invertible Functions
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Binary Operations

Binary Operations
Notes PPT MCQs

Inverse Trigonometric Functions

Introduction

Introduction
Notes PPT MCQs

Basic Concepts

Basic Concepts
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Properties Of Inverse Trigonometric Functions

Properties Of Inverse Trigonometric Functions
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Examples
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Matrices

Introduction

Introduction
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Matrix

Matrix
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Order Of A Matrix
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Types Of Matrices

Types Of Matrices
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Equality Of Matrices
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Operation On Matrices

Addition Of Matrices
Notes PPT MCQs

Multiplication Of A Matrix By A Scalar
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Properties Of Matrix Addition
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Properties Of Scalar Multiplication Of A Matrix
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Multiplication Of Matrices
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Properties Of Multiplication Of Matrices
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Transpose Of A Matrix

Properties Of Transpose Of The Matrices
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Symmetric And Skew Symmetric Matrices

Symmetric And Skew Symmetric Matrices
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Elementary Operations Of A Matrix

Elementary Operations Of A Matrix
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Invertible Matrices

Invertible Matrices
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Inverse Of A Matrix By Elementary Operations
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Determinants

Introduction

Introduction
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Determinant

Determinant Of A Matrix Of Order One
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Determinant Of A Matrix Of Order Two
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Determinant Of A Matrix Of Order 3 X 3
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Properties Of Determinants

Properties Of Determinants
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Area Of A Triangle

Area Of A Triangle
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Minors And Cofactors

Minors And Cofactors
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Adjoint And Inverse Of A Matrix

Adjoint Of A Matrix
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Application Of Determinants And Matrices

Solution Of System Of Linear Equations Using Inverse Of A Matrix
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Continuity And Differentiability

Introduction

Introduction
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Continuity

Continuity
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Algebra Of Continuous Functions
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Differentiability

Differentiability
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Derivatives Of Composite Functions
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Derivatives Of Implicit Functions
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Derivatives Of Inverse Trigonometric Functions
Notes PPT MCQs

Exponent And Logarithmic Functions

Exponent And Logarithmic Functions
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Logarithmic Differentiation

Logarithmic Differentiation
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Derivatives Of Functions In Parametric Forms

Derivatives Of Functions In Parametric Forms
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Second Order Derivative

Second Order Derivative
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Mean Value Theorem

Mean Value Theorem
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Application Of Derivatives

Introduction

Introduction
Notes PPT MCQs

Rate Of Change Of Quantities

Rate Of Change Of Quantities
Notes PPT MCQs

Increasing And Decreasing Functions

Increasing And Decreasing Functions
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Tangents And Normals

Tangents And Normals
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Approximations

Approximations
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Maxima And Minima

Maxima And Minima
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Maximum And Minimum Values Of A Function In A Closed Interval
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Integrals

Introduction

Introduction
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Integration As An Inverse Process Of Differentiation

Integration As An Inverse Process Of Differentiation
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Geometrical Interpretation Of Indefinite Integral
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Some Properties Of Indefinite Integral
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Comparison Between Differentiation And Integration
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Methods Of Integration

Integration By Substitution
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Integration Using Trigonometric Identities
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Integrals Of Some Particular Functions

Integrals Of Some Particular Functions
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Integration By Partial Fractions

Integration By Partial Fractions
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Integration By Parts

Integration By Parts
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Integral Of The Type
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Integrals Of Some More Types
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Definite Integral

Definite Integral As The Limit Of Sum
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Fundamental Theorem Of Calculus

Area Function
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First Fundamental Theorem Of Integral Calculus
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Second Fundamental Theorem Of Integral Calculus
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Evaluation Of Definite Integrals By Substitution

Evaluation Of Definite Integrals By Substitution
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Some Properties Of Definite Integrals

Some Properties Of Definite Integrals
Notes PPT MCQs

Application Of Integrals

Introduction

Introduction
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Area Under Simple Curve

Area Under Simple Curve
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The Area Of The Region Bounded By A Curve And A Line
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Area Between Two Curves

Area Between Two Curves
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Differential Equations

Introduction

Introduction
Notes PPT MCQs

Basic Concepts

Basic Concepts
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Order Of A Differential Equation
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Degree Of Differential Equation
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Procedure To Form A Differential Equation That Will Represent A Given Family Of Curves
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General And Particular Solutions Of A Differential Equations

General And Particular Solutions Of A Differential Equations
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Formation Of A Differential Equation Whose General Solution Is Given

Formation Of A Differential Equation Whose General Solution Is Given
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Methods Of Solving First Order, First Degree Differential Equations

Differential Equation With Variable Separable
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Homogeneous Differential Equations
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Linear Differential Equations
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Vector Algebra

Introduction

Introduction
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Some Basic Concepts

Types of vectors
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Types Of Curves

Types Of Curves
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Addition Of Vectors

Addition Of Vectors
Notes PPT MCQs

Multiplication Of A Vector By A Scalar

Multiplication Of A Vector By A Scalar
Notes PPT MCQs

Vector joining two points
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Section Formula
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Section Formula
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Product Of Two Vectors

Scalar Product Of Two Vectors
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Projection Of A Vector On A Line
Notes PPT MCQs

Vector/cross product
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Three Dimensional Geometry

Introduction

Introduction
Notes PPT MCQs

Direction Cosines And Direction Ratios Of A Line

Direction Cosines And Direction Ratios Of A Line
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Relation Between The Direction Cosines Of A Line
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Direction Cosines Of A Line Passing Through Two Points
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Equation Of A Line Space

Equation Of A Line Through A Given Point And Parallel To A Given Vector
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Equation Of A Line Passing Through Two Given Points
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Angle Between Two Lines

Angle Between Two Lines
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Shortest Distance Between Two Lines

Shortest Distance Between Two Lines
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Distance Between Two Skew Lines
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Distance Between Two Parallel Lines
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Plane

Equation Of A Plane In Normal Form
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Equation Of A Plane Perpendicular To A Given Vector And Passing Through A Given Point
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Equation Of A Plane Passing Through Three Non Collinear Points
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Intercept Form Of The Equation Of A Plane
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Plane Passing Through The Intersection Of Two Given Planes
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Coplanarity Of Two Lines

Coplanarity Of Two Lines
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Angle Between Two Planes

Angle Between Two Planes
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Distance Of A Point From A Plane

Distance Of A Point From A Plane
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Angle Between A Line And A Plane

Angle Between A Line And A Plane
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Linear Programming

Introduction

Introduction
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Linear Programming Problem And Its Mathematical Formulation

Mathematical Formulation Of The Problem
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Graphical Method Of Solving Linear Programming Problems
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Different Types Of Linear Programming Problems

Different Types Of Linear Programming Problems
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Probability

Introduction

Introduction
Notes PPT MCQs

Conditional Probability

Conditional Probability
Notes PPT MCQs

Properties Of Conditional Probability
Notes PPT MCQs

Multiplication Theorem On Probability

Multiplication Theorem On Probability
Notes PPT MCQs

Independent Events

Independent Events
Notes PPT MCQs

Bayes' Theorem

Partition Of A Sample Space
Notes PPT MCQs

Theorem Of Total Probability
Notes PPT MCQs

Random Variables And Its Probability Distributions

Random Variables And Its Probability Distributions
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Probability Distribution Of A Random Variable
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Mean Of A Random Variable
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Variance Of A Random Variable
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Bernoulli Trials And Binomial Distribution

Bernoulli Trials
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Binomial Distribution
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Shape

Shape

Shape

Shape

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Some Properties Of Definite Integrals

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