Lesson List
Sets
Sets Introduction and Definition
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Representing a Set
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Types of Sets Part-1
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Types of sets Part-2
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Subsets Part -1 & Power Sets
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Subsets Part-1
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Laws of Algebra of Sets Part – 1
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Laws of Algebra of Sets Part – 2
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Some Important Results Part – 1
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Some Important Results Part – 2
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Operations on Sets Part – 1
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Operations on Sets Part – 2
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Operations on Sets Part – 3
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De Morgan’s Law
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Cartesian Product of Sets
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Some Results of Cartesian Product of Sets
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Numericals Level – 1
00:00:00
Relations & Functions
Relations
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Inverse of a Relations
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Types of Relations Part – 1
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Reflexive Relations Part – 2
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Symmetric and Transitive Relations Part – 3
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Examples of Relations
00:00:00
Function Introduction
00:00:00
Definition and Number of Functions
00:00:00
Types of Interval
00:00:00
Types of Function 1-1 Function
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Types of Function Many One Function
00:00:00
Types of Function Onto and Into Function
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Types of Function Onto and Into Function Part – 2
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Types of Functions Part – 1
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Types of Functions Part – 2
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Types of Functions Part – 3
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Types of Functions Part – 4
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Types of Functions Part – 5
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Types of Functions Part – 6
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Domain of a Function Part – 1
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Domain of a Function Part – 2
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Types of Functions Part – 7
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Range of a Function
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Properties of Logarithmic Function
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Properties of Greatest Integer Functions
00:00:00
Composite Functions
00:00:00
Properties of Composite Function
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Inverse Function
00:00:00
Properties of Inverse Function
00:00:00
Function Numerical (Level 1)
00:00:00
Function Numerical (Level 2)
00:00:00
Function Numerical (Level 3)
00:00:00
Trigonometric Functions
Graph of Tan Function
00:00:00
Graph of Cot Function
00:00:00
Summary of Graphs of Trigonometric Function
00:00:00
Tan(A+B)
00:00:00
Tan(A-B)
00:00:00
Cot(A+B)
00:00:00
Cot(A-B)
00:00:00
Compound Angle Formula
00:00:00
Compound Angle Formula – 2
00:00:00
Compound Angle Formula – 3
00:00:00
Compound Angle Formula – 4
00:00:00
Allied Angle Formula Introduction
00:00:00
Allied Angle Formula Part-1
00:00:00
Allied Angle Formula Part-2
00:00:00
Allied Angle Formula Part-3
00:00:00
Allied Angle Formula Part-4
00:00:00
Triple Angle Formula Sin 3 Theta
00:00:00
Triple Angle Formula Cos 3 Theta
00:00:00
Triple Angle Formula Tan 3 Theta
00:00:00
Triple Angle Formula Summary
00:00:00
Factorization and Defactorization Formula Part – 1
00:00:00
Factorization and Defactorization Formula Part – 2
00:00:00
Factorization and Defactorization Formula Part – 3
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Factorization and Defactorization Formula Part – 4
00:00:00
Factorization and Defactorization Formula Part – 5
00:00:00
Trigonometry Functions of Angles of a Triangle Part-1
00:00:00
Trigonometry Functions of Angles of a Triangle Part-2
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General Solutions of Trigonometry Functions Sin Theta
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General Solutions of Trigonometry Functions Sin 2 Theta
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General Solutions of Trigonometry Functions Cos Theta
00:00:00
General Solutions of Trigonometry Functions Cos 2 Theta
00:00:00
General Solutions of Trigonometry Functions Tan Theta
00:00:00
General Solutions of Trigonometry Functions Tan 2 Theta
00:00:00
Cosine Rule Theorem
00:00:00
Projection Rule
00:00:00
Sine Rule Theorem Part – 1
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Sin Rule Theorem Part – 2
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Half Angle Formula Part – 1
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Half Angle Formula Part – 2
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Trigonometry / Polar Co-ordinates Part – 1
00:00:00
Heron’s Formulae
00:00:00
Napier’s Analogy
00:00:00
Trigonometric Function (Using Fundamental Identities)
00:00:00
Trigonometry Functions (When x, y Given)
00:00:00
Polar Coordinates Part – 1
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Polar Coordinates Part – 2
00:00:00
Numerical (Level 1)
00:00:00
Principle of Mathematical Induction
Introduction
00:00:00
First Principle of Mathematical Induction
00:00:00
Numericals Level – 1
00:00:00
Numericals Level – 2
00:00:00
Numericals Level – 3
00:00:00
Complex Numbers and Quadratic Equations
Complex Number Introduction
00:00:00
Definition
00:00:00
Integral Powers of Iota (I)
00:00:00
Equality of Complex Numbers
00:00:00
Addition and Subtraction of Complex Numbers
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Multiplication of Complex Numbers
00:00:00
Division of Complex Numbers
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Reciprocal of a Complex Number
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Conjugate of a Complex Numbers
00:00:00
Square Root of a Complex Number
00:00:00
Modulus of a Complex Numbers
00:00:00
Polar Form of a Complex Numbers
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Argument (Amplitude) of a Complex Number 1
00:00:00
Argument (Amplitude) of a Complex Number 2
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Euler’s (Exponential) Form of a Complex Number
00:00:00
Multiplication and Division in Euler’s (Exponential) Form
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De Moivre’s Theorem
00:00:00
Cube Roots of Unity
00:00:00
Quadratic Equation Introduction
00:00:00
Polynomial Equation
00:00:00
Roots of Quadratic Equations
00:00:00
Relation Between Roots & Coefficients
00:00:00
Nature of Roots
00:00:00
Position of Roots of a Quadratic Equation Part – 1
00:00:00
Position of Roots of a Quadratic Equation Part – 2
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Position of Roots of a Quadratic Equation Part – 3
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Relation Between the Roots of a Polynomial Equation of Degree N
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Quadratic Expression Part – 1
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Quadratic Expression Part – 2
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Quadratic Expression Part – 3
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Quadratic Inequations
00:00:00
Some Important Results
00:00:00
Complex Number Numericals Level – 1
00:00:00
Complex Number Numericals Level – 2
00:00:00
Complex Number Numericals Level – 3
00:00:00
Quadratic Equation Numericals Level – 1
00:00:00
Quadratic Equation Numericals Level – 2
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Quadratic Equation Numericals Level – 3
00:00:00
Linear Inequalities
Terms of Linear Programming
00:00:00
Graph of Linear Inequation Part – 1
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Graph of Linear Inequation Part – 2
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Graphical Solution of Two Variable Linear Programming Problem
00:00:00
Convex Set
00:00:00
Numericals Level – 1
00:00:00
Numericals Level – 2
00:00:00
Numericals Level – 3
00:00:00
Permutations and Combinations
Introduction
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Permutations (No of Arrangements)
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Algorithm (Example)
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Permutation of Alike Objects
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Combination (No of Selection) Part 1
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Combination (No of selection) Part 2
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Some Formulas of Combination
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Principles of Counting
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Numericals Level – 1
00:00:00
Binomial Theorem
Binomial Coefficients
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To Find Coefficients of Terms of Binomial Expansions
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Binomial Theorem for Positive Integral Index
00:00:00
Reducing the Binomial First Term to Unity
00:00:00
Pascal’s Triangles
00:00:00
General Term to Expand Powers of Binomials
00:00:00
Middle Term(s) of Binomial Expansions
00:00:00
In a New Form
00:00:00
In a New Form (Where N is a Fraction)
00:00:00
In a New Form (Where N is Not a Positive Integer)
00:00:00
Application
00:00:00
Numericals (Level 1)
00:00:00
Numericals (Level 2)
00:00:00
Numericals (Level 3)
00:00:00
Sequence and Series
Introduction
00:00:00
Arithmetic Progression
00:00:00
Sum of n Terms
00:00:00
Types of Means (Arithmetic Mean)
00:00:00
Geometric Progressions
00:00:00
Geometric Progressions (Sum of n Terms)
00:00:00
Geometric Progressions (Sum of Infinite Terms)
00:00:00
Geometric Progressions (Property of Sum of n Terms)
00:00:00
Types of Means (Geometric Mean)
00:00:00
Expressing Recurring Decimals as Rational Numbers
00:00:00
Arithmetic-Geometric Progressions (AGP)
00:00:00
Sum of n Terms of AGP
00:00:00
Sum to Infinity of AGP
00:00:00
Harmonic Progressions
00:00:00
Types of Means (Harmonic Mean)
00:00:00
Relation Between AM GM & HM
00:00:00
AM, GM & HM (If x = y)
00:00:00
Sum of First n Natural Numbers
00:00:00
Sum of Squares of First n Natural Numbers
00:00:00
Sum of Cubes of First n Natural Numbers
00:00:00
Numericals Level – 1
00:00:00
Numericals Level – 2
00:00:00
Straight Lines
Angle of Inclination
00:00:00
Slope of Line
00:00:00
Angle Between Intersecting Lines
00:00:00
Slope of Perpendicular Lines
00:00:00
Equations of a Straight Line Point Slope Form
00:00:00
Equations of a Straight Line Two Point Form
00:00:00
Equations of a Straight Line Slope Intercept Form
00:00:00
Equations of a Straight Line Double Intercept Form
00:00:00
Equations of a Straight Line Normal Form
00:00:00
Equation of a Straight Line General Form
00:00:00
Distance of Line From Origin
00:00:00
Distance of a Point from a Given Line Part – 1
00:00:00
Distance Between Two Parallel Lines
00:00:00
Locus Part 1
00:00:00
Locus Part 2
00:00:00
Numericals Level – 1
00:00:00
Numericals Level – 2
00:00:00
Conic Sections
Equation of Tangent (General Circle)
00:00:00
General Form of Equation of a Circle
00:00:00
Equation of Tangent (Standard Circle)
00:00:00
Equation of a Standard Circle
00:00:00
Equation of Circle – Center Radius Form
00:00:00
Equation of a Diameter Form
00:00:00
Parametric Equation of Circle
00:00:00
Standard Equation of Parabola
00:00:00
Basic Terms for a Standard Parabola
00:00:00
Focal Distance of a Standard Parabola
00:00:00
Foucs – Directrix Property
00:00:00
Standard Parabola & Left Handed Parabola
00:00:00
Upward Parabola & Downward Parabola
00:00:00
Latus Rectum of a Standard Parabola
00:00:00
Sum of Focal Distance of Any Point on Ellipse
00:00:00
Standard Equation of an Ellipse
00:00:00
Standard Equation of an Vertical Ellipse
00:00:00
Other Terms of an Vertical Ellipse
00:00:00
Standard Equation of a Hyperbola
00:00:00
Some Basic Terms of a Hyperbola (Horizontal Transverse Axis)
00:00:00
Some Basic Terms of a Hyperbola (Vertical Transverse Axis)
00:00:00
Some More Conditions for a Hyperbola
00:00:00
Circle Numericals Level – 1
00:00:00
Circle Numericals Level – 2
00:00:00
Circle Numericals Level – 3
00:00:00
Conic Section Numericals Level – 1
00:00:00
Conic Section Numericals Level – 2
00:00:00
Introduction to Three Dimensional Geometry
Distance Formula
00:00:00
Section Formula
00:00:00
Centroid Formula
00:00:00
Vector Equation of a Line Part – 1
00:00:00
Vector Equation of a Line Part – 2
00:00:00
Angle Between Two Vectors
00:00:00
Angle Between Two Lines
00:00:00
Perpendicular From a Point to a Line
00:00:00
Skew Lines
00:00:00
To Check Whether the Given Lines are Intersecting
00:00:00
To Check Whether the Given Lines are Intersecting and Find Point of Intersection – II
00:00:00
Reflection or Image of a Points in a Straight Line
00:00:00
Plane and Equation of Plane in Normal Form
00:00:00
Transformation of General Form to Normal Form
00:00:00
Equation of Sphere in Diametric Form
00:00:00
Equation of Plane Passing Through a Given Point and Intercept Form
00:00:00
Condition for a Line to Lie in Plane
00:00:00
Condition for Lines to Be Intersecting and Equation of Their Plane
00:00:00
Equation of Plane Passing Through Two Points and Parallel to Given Vector
00:00:00
Equation of a Plane Passing Through a Point and Parallel to Two Given Vector
00:00:00
Family of Planes
00:00:00
Angle Between Two Planes and Parallel Planes
00:00:00
Equation of Plane Passing Through Three Points
00:00:00
Distance of a Point From a Plane
00:00:00
Distance Between Parallel Planes
00:00:00
Planes Bisecting Two Planes
00:00:00
Image of Point in Plane
00:00:00
Equation of Sphere
00:00:00
Equation of Sphere Through 4 Points
00:00:00
Some Formulas to Remember Part 1
00:00:00
Some Formulas to Remember Part 2
00:00:00
Numerical (Level 1)
00:00:00
Numerical (Level 2)
00:00:00
Numerical (Level 3)
00:00:00
Limits and Derivatives
Limits Introduction
00:00:00
Existence of Limit
00:00:00
Algebra of Limits Part 1
00:00:00
Algebra of Limits Part 2
00:00:00
Some Important Result of Limits Part 1
00:00:00
Some Important Result of Limits Part 2
00:00:00
Some Important Result of Limits Part 3
00:00:00
Some Important Result of Limits Part 4
00:00:00
Derivatives Introduction
00:00:00
Derivative of a Function and It’s Geometrical Meaning
00:00:00
Derivative of Some Standard Functions by Using First Principle
00:00:00
Derivative of Some Standard Functions
00:00:00
Properties of Derivatives
00:00:00
Derivative of Composite Function
00:00:00
Derivative of Implicit Function
00:00:00
Derivative of Parametric Function
00:00:00
Higher Order Differentiation
00:00:00
Derivative of Type Xx
00:00:00
Derivative of nth Order of Some Standard Functions
00:00:00
Derivative of nth Order of Some Standard Functions Part II
00:00:00
Differentiation of Determinants
00:00:00
Numericals Level – 1
00:00:00
Mathematical Reasoning
Introduction
00:00:00
Connectives – AND and OR
00:00:00
Connectives – If and Then
00:00:00
Connectives – IF and ONLY IF and NEGATION
00:00:00
Truth Table Conjunction
00:00:00
Negation of Conjunction
00:00:00
Truth Table Disjunction
00:00:00
Negation of Disjunction
00:00:00
Truth Table Implication
00:00:00
Negation of Implication
00:00:00
Truth Table Double Implication
00:00:00
Negation of Double Implication
00:00:00
Truth Table Negation
00:00:00
Negation of Negation
00:00:00
Conditional Law
00:00:00
Converse, Inverse and Contrapositive
00:00:00
Bi Conditional Law
00:00:00
Algebra of Statements Indements Law
00:00:00
Algebra of statements Associative Law
00:00:00
Algebra of statements Distributive Law
00:00:00
De Morgan’s Law
00:00:00
Identity Law
00:00:00
Complement Law
00:00:00
Absorption Law
00:00:00
Involution Law
00:00:00
Duality
00:00:00
Numerical (Level 1)
00:00:00
Numerical (Level 2)
00:00:00
Statistics
Types of Data
00:00:00
Formula for Mean
00:00:00
Standard Deviation Part – 1
00:00:00
Standard Deviation Part – 2
00:00:00
Deciles and Percentiles
00:00:00
Quartile and Quartile Deviation
00:00:00
Solved Example for Standard Deviation
00:00:00
Median
00:00:00
Example for Median
00:00:00
Probability
Introduction
00:00:00
Definition of Probability
00:00:00
Basic Concepts
00:00:00
Types of Events
00:00:00
Brief Description About Coin
00:00:00
Brief Description About Die
00:00:00
Brief Description About Cards
00:00:00
Addition Theorem of Probability Part – 1
00:00:00
Addition Theorem of Probability Part – 2
00:00:00
Numerical (Level 1)
00:00:00
Numerical (Level 2)
00:00:00
Numerical (Level 3)
00:00:00
Go to Course Home
Sets Introduction and Definition
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