Lecture_ 01. Introduction to Sets

Chapter_ SetsLecture_ 02. Types of Sets

Lecture_ 03. Operations on Sets

Lecture_ 01. Introduction to Relations

Lecture_ 02. Types of Relations

Chapter_ FunctionLecture_ 01. Value of the Function

Lecture_ 02. Domain, Co-domain & Range of the Function

Lecture_ 03. Constant & Identity Functions

Lecture_ 04. Signum Function

Lecture_ 05. Exponential & Logarithmic Functions

Lecture_ 06. Absolute Value Function

Lecture_ 07. Greatest Integer Function

Lecture_ 08. Fractional Part Function

Lecture_ 09. Polynomial Function

Lecture_ 10. Algebraic & Rational Functions

Lecture_ 11. Algebraic Operations on Function

Lecture_ 12. Range of a Function

Lecture_ 13. Applications of Functional Rule

Lecture_ 14. Equal or Identical Functions

Lecture_ 15. Homogeneous Function

Lecture_ 16. Bounded, Implicit & Explicit Functions

Lecture_ 17. Classification of Functions

Lecture_ 18. Composite Functions

Lecture_ 19. Inverse of a Function

Lecture_ 20. Odd & Even Functions

Lecture_ 21. Periodic Functions

Chapter_ Permutation & CombinationLecture_ 01. Factorial

Lecture_ 02. Formation of Numbers

Lecture_ 03. Permutation and Combination

Lecture_ 04. Selection of 'r' things out of 'n' different things

Lecture_ 05. Permutation of Things which are all Different

Lecture_ 06. Formation of Groups and their Distribution

Lecture_ 07. Combination of Things which are not all Different DOWNLOAD

Lecture_ 08. Number of Divisors and their Sum

Lecture_ 09. Permutation of Alike Objects Taken All or Some at a Time

Lecture_ 10. Rank of the Word

Lecture_ 11. Circular Permutation_ When Objects are Different or Alike

Lecture_ 12. Geometric Problems

Lecture_ 13. Principle of Inclusion and Exclusion

Lecture_ 14. Summation of Numbers

Lecture_ 15. Distribution of Alike Objects

Lecture_ 16. Derangement

Chapter_ Binomial TheoremLecture_ 01. Introduction to Binomial Theorem

Lecture_ 02. Expansion of Binomial Theorem

Lecture_ 03. mth-term from the End

Chapter_ Binomial TheoremLecture_ 04. Coefficient of x to the power m in the Expansion

Lecture_ 05. Middle Term in the Expansion DOWNLOAD BY @daityaji

Lecture_ 06. Number of Terms in the Expansion

Lecture_ 07. Numerically Greatest Term

Lecture_ 08. Properties of Binomial Cofficient - Type 1

Lecture_ 09. Properties of Binomial Cofficient - Type 2

Lecture_ 10. Properties of Binomial Cofficient - Type 3

Lecture_ 11. Properties of Binomial Cofficient - Type 4

Lecture_ 12. Sum of Coefficients in an Expansion

Lecture_ 13. Applications of Binomial Theorem

Lecture_ 14. Multinomial Theorem

Lecture_ 15. Binomial Theorem for Negative & Fractional Index DOWNLOAD

Lecture_ 01. Introduction to Sequence, Series and Progression

Lecture_ 02. Introduction to Arithmetic Progression - General Term

Lecture_ 03. Summation of Arithmetic Progression

Lecture_ 04. Properties of Arithmetic Progressio

Lecture_ 05. Arithmetic Mean

Lecture_ 06. General Term of Geometric Progression

Lecture_ 07. Summation of Geometric Progression

Lecture_ 08. Properties of Geometric Progression

Lecture_ 09. Geometric Mean

Lecture_ 10. General Term of Harmonic Progression

Lecture_ 11. Harmonic Mean

Lecture_ 12. Relation Between A.M., G.M. & H.M.

Lecture_ 13. Arithmetico - Geometric Progression

Lecture_ 14. Special Sequence - Sigma Notation

Lecture_ 15. Special Sequence - Method of Difference

Lecture_ 16. Special Sequence - Splitting the Terms

Lecture_ 01. Mathematical Contribution of a Fly

Lecture_ 02. Coordinate System & Distance Formula

Lecture_ 03. Section Formula

Lecture_ 04. Centers of a Triangle - Centroid, Incentre & Excentre

Lecture_ 05. Centers of a Triangle - Orthocentre & Circumcentre

Lecture_ 06. Area of Triangle

Chapter_ Straight LineLecture_ 01. Introduction to Straight Line

Lecture_ 02. Standard Forms of Equations of Straight Lines - Slope, Intercept Form

Lecture_ 03. Standard Forms of Equations of Straight Lines - One Point, Two Point Form

Lecture_ 04. Standard Forms of Equations of Straight Lines - Normal, Parametric, General Form

Lecture_ 05. Point and Line

Lecture_ 06. Length of the Perpendicular from a Point on a Line

Lecture_ 07. Angle between two Straight Lines

Lecture_ 08. Equation of Lines - Parallel & Perpendicular to a given line

Lecture_ 09. Equation of Straight Lines Equally Inclined to a given line

Lecture_ 10. Family of Straight Lines

Lecture_ 11. Concurrency of Straight Lines

Lecture_ 12. Angle Bisectors

Lecture_ 13. Optics

Lecture_ 14. Transformation of Axes

Lecture_ 15. Pair of Straight Lines

Lecture_ 16. General Equation of Second Degree representing a Pair of Straight Lines

Lecture_ 17. Homogenisation

Lecture_ 01. Center - Radius Form of a Circle

Lecture_ 02. General Form of a Circle

Lecture_ 03. Intercept Form of a Circle

Chapter_ CircleLecture_ 04. Diametric Form of a Circle

Lecture_ 05. Parametric Equations of the Circle

Lecture_ 06. Point & Circle

Lecture_ 07. Line & Circle

Lecture_ 08. Tangents from an External Point

Lecture_ 09. Chord of Contact

Lecture_ 10. Pair of Tangents to the Circle

Lecture_ 11. Problems Based on Pair of Tangents to the Circle

Lecture_ 12. Chord with Mid-Point

Lecture_ 13. Director Circle

Lecture_ 14. Chord of a Circle

Lecture_ 15. Normal to the Circle

Lecture_ 16. Radical Axis

Lecture_ 17. Family of Circles

Lecture_ 18. Family of Circles - Special Case

Lecture_ 19. Coaxial System of Circles

Lecture_ 20. Intersection of Circles

Lecture_ 01. Standard Parabola - Part 1

Lecture_ 02. Standard Parabola - Part 2

Lecture_ 03. Shifted parabola - Part 1

Lecture_ 04. Shifted parabola - Part 2

Lecture_ 05. Shifted parabola - Part 3

Lecture_ 06. Point and Parabola

Lecture_ 07. Parametric Coordinates of a Parabola

Lecture_ 08. Chord joining two points of a Parabola - Part 1

Lecture_ 09. Chord joining two points of a Parabola - Part 2

Lecture_ 10. Length of Chord of Parabola

Lecture_ 11. Tangents to Parabola - Slope Form

Lecture_ 12. Tangents to Parabola - Cartesian, Parametric Form

Lecture_ 13. Pair of Tangents to Parabola

Lecture_ 14. Normals to Parabola - Cartesian, Parametric Form

Lecture_ 15. Normals to Parabola - Slope Form

Lecture_ 16. Common Tangent

Lecture_ 17. Subtangent & Subnormal

Lecture_ 18. Chord with given Mid-Point

Lecture_ 19. Diameter of Parabola

Chapter_ HyperbolaLecture_ 01. Standard Hyperbola

Lecture_ 02. Hyperbola at a Glance

Lecture_ 03. Other Forms of Hyperbola

Lecture_ 04. Auxilliary Circle and Eccentricity of Hyperbola

Lecture_ 05. Point and Hyperbola

Lecture_ 06. Tangents to Hyperbola - Slope Form

Lecture_ 07. Tangents to Hyperbola - Parametric Form

Lecture_ 08. Tangents to Hyperbola - Cartesian Form and Chords

Lecture_ 09. Normals to Hyperbola

Lecture_ 10. Pair of Tangents & Chord with given Mid-Point

Lecture_ 11. Asymptotes

Chapter_ EllipseLecture_ 01. Standard Ellipse

Lecture_ 02. Ellipse at a Glance

Lecture_ 03. Problems on Standard Ellipse

Lecture_ 04. Other Forms of Ellipse

Lecture_ 05. Auxilliary Circle and Eccentricity of Ellipse

Lecture_ 06. Point and Ellipse

Lecture_ 07. Tangent to Ellipse - Slope Form

Lecture_ 08. Tangent to Ellipse - Cartesian Form

Lecture_ 09. Tangent to Ellipse - Parametric Form

Lecture_ 10. Normals to Ellipse

Lecture_ 11. Pair of Tangents to Ellipse

Lecture : 01. Introduction to Logarithms

Lecture : 02. Basics of Logarithms

Lecture : 03. Properties of Logarithm - Part 1

Lecture : 04. Properties of Logarithm - Part 2

Lecture : 05. Solving Logarithmic Equations

Lecture : 06. Graph of Logarithmic Functions

Lecture : 07. Antilogarithm

Lecture : 01. Polynomials

Lecture : 02. Quadratic Equations and Nature of Roots

Lecture : 03. Formation of Quadratic Equations

Lecture : 04. Symmetric Function of Root

Lecture_ 05. Roots Under Special Conditions

Lecture_ 06. Identities

Lecture_ 07. Condition for Common Roots

Lecture_ 08. Introduction to Quadratic Graphs

Lecture_ 09. Inequalities

Lecture_ 10. Maximum and Minimum Values of Quadratic and Rational Functions

Lecture_ 11. Location of Roots

Lecture_ 12. Transformation of Quadratic Equations

Lecture_ 13. Theory of Equations

Lecture_ 14. Quadratic Expressions in Two Variables

Lecture_ 15. Modulus Function

Lecture_ 16. Inequalities Involving Modulus Function

Lecture_ 17. Logarithmic Inequalities

Chapter_ Complex NumberLecture_ 01. Complex Number

Lecture_ 02. Algebra of Complex Number

Lecture_ 03. Conjugate of Complex Number

Lecture_ 04. Modulus of Complex Number

Lecture_ 05. Argument of Complex Number

Lecture_ 06. Polar Form

Lecture_ 07. Cartesian & Vector Form

Lecture_ 08. De-Moivre's Theorem

Lecture_ 09. Cube Roots of Unity

Lecture_ 10. nth Roots of Unity

Lecture_ 11. Geometry

Lecture_ 12. Rotation

Lecture_ 13. Equation of Straight Line

Lecture_ 14. Geometry Conic Section

Lecture_ 15. Locus

Lecture_ 01. Introduction to Trigonometry

Lecture_ 02. Trigonometric Ratios

Lecture_ 03. Real Definition of Trigonometric Ratios

Lecture_ 04. Trigonometric Ratios of Allied Angles

Lecture_ 05. Trigonometric Graphs

Lecture_ 06. Trigonometric Ratios of Compound Angles

Lecture_ 07. Transformation Formulae - Sum to Product

Lecture_ 08. Transformation Formulae - Product to Sum

Lecture_ 09. Tangent Formula

Lecture_ 10. Trigonometric Ratios of Multiple & Submultiple Angles

Lecture_ 11. Trigonometric Ratios for some Standard Angles

Lecture_ 12. Trigonometric Ratios of the Sum of More Than Two Angles

Lecture_ 13. Trigonometric Identities in a Triangle (Conditional Identities)

Lecture_ 14. Application of Trigonometry in Maximising & Minimising - Type I

Lecture_ 15. Application of Trigonometry in Maximising & Minimising - Type II, III

Lecture_ 16. Application of Trigonometry in Maximising & Minimising - Type IV, V & VI

Lecture_ 17. Summation of Trigonometric Series

Lecture_ 01. Introduction to Trigonometric Equations (1)

Lecture_ 02. General Solution of Trigonometric Equations - Part 1 (1)

Lecture_ 03. General Solution of Trigonometric Equations - Part 2

Lecture_ 04. Strategies for Solving Trigonometric Equations - 1. Factorization 2. Reducing

Lecture_ 05. Strategies for Solving Trigonometric Equations - 3. Introducing an Auxiliary Argume

Lecture_ 06. Strategies for Solving Trigonometric Equations - 4. Transforming Sum to P

Lecture_ 07. Strategies for Solving Trigonometric Equations - 6. By Change of Variable_ Subs

Lecture_ 08. Strategies for Solving Trigonometric Equations - 7. By Boundness 8. By Squaring 9. Sy

Lecture_ 01. Properties & Solution of Triangle

Lecture_ 02. Sine Rule

Lecture_ 03. Cosine Rule

Lecture_ 04. Projection Formula

Lecture_ 05. Tangent Rule

Lecture_ 06. Half Angle Formulae

Lecture_ 07. m-n Theorem

Lecture_ 08. Circumcircle

Lecture_ 09. Incircle

Lecture_ 10. Excircles

Lecture_ 01. Measure of Central Tendency - Arithemetic Mean

Lecture_ 02. Properties of Arithemetic Mean

Lecture_ 03. Measure of Central Tendency - Weighted Mean & Combined Mean

Lecture_ 04. Harmonic Mean and Geometric Mean

Lecture_ 05. Measure of Central Tendency - Median

Lecture_ 06. Measure of Central Tendency - Mode

Lecture_ 07. Measures of Dispersion - Range and Mean Deviation

Lecture_ 08. Measures of Dispersion - Variance and Standard Deviation

Lecture_ 01. Subjective Approach to Induction

Lecture_ 02. Logical Operator _ Conditional and Bi-conditiona

Lecture_ 01. Domain, Range & Graphs of arc sinx

Lecture_ 02. Domain, Range & Graphs of arc cosx

Lecture_ 03. Domain, Range & Graphs of arc tanx

Lecture_ 04. Domain, Range & Graphs of arc cotx

Lecture_ 05. Domain, Range & Graphs of arc secx & arc cosecx

Lecture_ 06. Properties of Inverse Trigonometric Functions _ 1

Lecture_ 08. Properties of Inverse Trigonometric Functions _ 4

Lecture_ 07. Properties of Inverse Trigonometric Functions _ 2 & 3

Lecture_ 08. Properties of Inverse Trigonometric Functions _ 4

Lecture_ 09. Properties of Inverse Trigonometric Functions _ 5

Lecture_ 10. Properties of Inverse Trigonometric Functions _ 6 & 7

Lecture_ 11. Properties of Inverse Trigonometric Functions _ 8

Lecture_ 12. Simplification & Transformation of Inverse Functions by Elementary Substitution

Lecture_ 13. Equations Involving Inverse Trigonometric Functions

Lecture_ 14. Simultaneous In-equations Involving ITF

Lecture_ 01. Concept of Limit

Lecture_ 02. Existence of Limit

Lecture_ 03. 0_0 Form - Factorisation

Lecture_ 04. 0_0 Form - Rationalization

Lecture_ 05. 0_0 Form - Standardization

Lecture_ 06. Infinity by Infinity Form

Lecture_ 07. (Zero into Infinity) and (Infinity into Infinity) Form

Lecture_ 08. Limit of Trigonometric Functions - Part 1

Lecture_ 09. Limit of Trigonometric Functions - Part 2

Lecture_ 10. Limit Using Series Expansion

Lecture_ 11. Limit of Exponential Functions

Lecture_ 12. Limit of Logarithmic Functions

Lecture_ 13. One to the power Infinity Form

Lecture_ 14. Built in Limit

Lecture_ 15. Application of Limit in Geometry

Lecture_ 16. Limit of Composite Functions

Lecture_ 17. L'Hospital Rule

Lecture_ 18. (Zero to the power Zero) & (Infinity to the power Infinity) Form

Lecture_ 01. Concept of Continuity

Lecture_ 02. Formulative Definition

Lecture_ 03. Reasons & Types of Discontinuities

Lecture_ 04. Continuity in an Interval

Lecture_ 05. Continuity of Functions defined by Functional Rule

Lecture_ 06. Continuity of Composite Functions

Lecture_ 07. Intermediate Value Theorem (IMVT)

Lecture_ 08. Important Points about Continuity

Lecture_ 01. Concept of Derivative

Lecture_ 02. Existence of Derivative

Lecture_ 03. Derivability & Continuity

Lecture_ 04. Algebra of Differentiability

Lecture_ 05. Important Concepts

Lecture_ 01. Derivative by First Principle

Lecture_ 02. Derivative of Standard Functions

Lecture_ 03. Theorems of Differentiation

Lecture_ 04. Chain Rule

Lecture_ 05. Logarithmic Differentiation

Lecture_ 06. Parametric Differentiation

Lecture_ 07. Derivative of One Function w.r.t. Another Function

Lecture_ 08. Derivative of Implicit Function

Lecture_ 09. Derivative of Infinite Series

Lecture_ 10. Derivative of Homogeneous Equation

Lecture_ 11. Derivative of Inverse Functions

Lecture_ 12. Derivatives of Inverse Trigonometric Functions

Lecture_ 13. Successive Differentiation

Lecture_ 14. L'Hospital Rule

Lecture_ 15. Derivative of Functions Expressed in the Determinant Form

Lecture_ 01. Nature of Function at a Point

Lecture_ 02. Increasing and Decreasing Nature of a Function over an Interval

Lecture_ 03. Problems based on Monotonicity of Function

Lecture_ 04. Greatest and Least Value of a Function

Lecture_ 05. Establishing Inequalities

Lecture_ 06. Rolle's Theorem

Lecture_ 07. Lagrange's Mean Value Theorem

Lecture_ 08. Introduction to Maxima & Minima

Lecture_ 09. Derivative Test For Ascertaining Maxima _Minima

Lecture_ 10. Special Points on a Given Curve

Lecture_ 11. Optimization Problems

Lecture_ 12. Maximum & Minimum Distance of a Fixed Point From a Given Curve

Lecture_ 13. Roots of a Cubic Equation

Lecture_ 14. Rate Measure

Lecture_ 15. Approximation

Lecture_ 16. Tangent and Normal at a Point

Lecture_ 17. Tangent and Normal in Parameric Form

Lecture_ 18. Equation of Tangent and Normal in Some Special Cases

Lecture_ 19. Angle Between Two Curves

Lecture_ 01. Elementary Integrals

Lecture_ 02. Integration by Substitution - Part 1

Lecture_ 03. Integration by Substitution - Part 2

Lecture_ 04. Integration by Substitution - Part 3

Lecture_ 05. Integration by Parts - General

Lecture_ 06. Integration by Parts - Some Special Formulae

Lecture_ 07. Integration by Parts - Classic Integrands

Lecture_ 08. Integration of Trigonometric Functions - Part 1

Lecture_ 09. Integration of Trigonometric Functions - Part 2

Lecture_ 10. Integration by Partial Fraction

Lecture_ 11. Integration of Algebraic Expressions

Lecture_ 12. Integrand Involving Even Powers of x

Lecture_ 13. Integration of Irrational Algebraic Expressions

Lecture_ 14. Reduction Formula

Lecture_ 01. Geometrical Interpretation of Definite Integration

Lecture_ 02. Evaluating Definite Integrals by Finding Antiderivatives

Lecture_ 03. Invalid Substitution

Lecture_ 04. Properties of Definite Integration-Property 1, 2 & 3

Lecture_ 05. Walli's Theorem

Lecture_ 06. Properties of Definite Integration-Property 4

Lecture_ 07. Properties of Definite Integration-Property 5

Lecture_ 08. Properties of Definite Integration-Property 6

Lecture_ 09. Properties of Definite Integration-Property 7

Lecture_ 10. Properties of Definite Integration-Property 8

Lecture_ 11. Derivative of Antiderivatives (Newton – Leibnitz Formula)

Lecture_ 12. Summation of Series using Definite Integration

Lecture_ 01. Introduction to Area Under Cur

Lecture_ 02. Area Between Two Curves

Lecture_ 03. Some Standard Areas

Lecture_ 04. Area Where the curve sketching is significant

Lecture_ 05. Areas Dealing with Inequalities

Lecture_ 06. Area by Shifting of Origin

Lecture_ 07. Area for Curves Represented Parametrically

Lecture_ 08. Area Enclosed by Inverse Function

Lecture_ 09. Determination of Unknown Parameters

Lecture_ 01. Order & Degree of Differential Equation

Lecture_ 02. Formation of Differential Equation

Lecture_ 03. Solution of Differential Equation

Lecture_ 04. Variable Seperable Form Differential Equation

Lecture_ 05. Equations Reducible to Variable Seperable Form

Lecture_ 06. Homogeneous Form Differential Equations

Lecture_ 07. Equations Reducible to Homogeneous Form

Lecture_ 08. Linear Differential Equation

Lecture_ 09. Differential Equations Reducible to linear Form

Lecture_ 10. Exact Differential Equation

Lecture_ 11. Miscellaneous Problems of Differential Equations

Lecture_ 12. Higher Order & Higher Degree Differential Equations

Lecture_ 01. Introduction to Matrices

Lecture_ 02. Types of Matrices

Lecture_ 03. Algebra of Matrices

Lecture_ 04. Multiplication of Matrices - Part-01

Lecture_ 05. Multiplication of Matrices - Part-02

Lecture_ 06. Matrix Polynomial

Lecture_ 07. Transpose of a Matrix

Lecture_ 08. Symmetric & Skew Symmetric Matrix

Lecture_ 08. Symmetric & Skew Symmetric Matrix

Lecture_ 07. Transpose of a Matrix

Lecture_ 09. Adjoint of a Matrix

Lecture_ 10. Inverse of a Matrix

Lecture_ 11. Elementary Operations (Transformation) of a Matrix

Lecture_ 12. Special Matrix

Chapter_ DeterminantLecture_ 01. Introduction to Determinants

Lecture_ 02. Minors and Cofactors

Lecture_ 03. Properties of Determinants - Part 1

Lecture_ 04. Properties of Determinants - Part 2

Lecture_ 05. Special Determinants

Lecture_ 06. Problems on Properties

Lecture_ 07. Factor Theorem

Lecture_ 08. Multiplication of Determinants

Lecture_ 09. Cramer's Rule _ System of Linear Equations

Chapter_ VectorLecture_ 01. General Definitions

Lecture_ 02. Vector Addition

Lecture_ 03. Geometry of Vectors

Lecture_ 04. Linear Combination of Vectors

Lecture_ 05. Test of Collinearity

Lecture_ 06. Scalar Product (Dot Product

Lecture_ 07. Vector Product (Cross Product)

Lecture_ 08. Vector Equation of a Line

Lecture_ 09. Vector Equation of the Angle Bisectors

Lecture_ 10. Fundamental Theorem in Plane

Lecture_ 11. Shortest Distance between Two Skew Lines

Lecture_ 12. Product of Three or More Vectors

Lecture_ 13. Vector Triple Product

Lecture_ 14. Scalar Product of Four Vectors

Lecture_ 15. Coplanarity of Four Points

Lecture_ 16. Reciprocal System of Vectors

Lecture_ 01. Distance Formula

Lecture_ 02. Section Formula

Lecture_ 03. Direction Cosines of a Vector_Line

Lecture_ 04. General Equation of a Plane

Lecture_ 05. Equation of a Plane Passing Through Three Given Points

Lecture_ 06. Intercept Form of a Plane

Lecture_ 07. Perpendicular Distance of a Point from a Plane

Lecture_ 08. Angle Between Two Planes

Lecture_ 09. Equation of the Bisector Planes

Lecture_ 10. Family of Planes

Lecture_ 11. Two Sides of a Plane

Lecture_ 12. Straight Lines

Lecture_ 13. Problems Based on Straight lines

Lecture_ 14. Angle Between a Line and a Plane

Lecture_ 15. General Equation of the Plane Containing a Line or Lines

Lecture_ 16. Shortest Distance Between Two Lines

Lecture_ 17. Unsymmetrical Form of Straight Line

Lecture_ 01. Basic Definitions Related to Probability

Lecture_ 02. Classical Definition of Probability

Lecture_ 03. Odds in Favour and Odds in Against

Lecture_ 05. Addition Theorem of Probability

Lecture_ 06. Conditional Probability

Lecture_ 07. Multiplication Theorem of Probability

Lecture_ 08. Dependent and Independent Events

Lecture_ 09. Probability Associated with Three Events

Lecture_ 10. Total Probability Theorem

Lecture_ 11. Bayes' Theorem

Lecture_ 12. Probabilities Through Stochastic Tree Diagram

Lecture_ 13. Mathematical Expectation

Lecture_ 14. Geometrical Probability

Lecture_ 15. Probability Distribution

Lecture_ 01. Introduction to Linear Programming Problems (LPP

Lecture_ 02. Basic Problems on LPP

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