Sets Introduction and Definition

Lesson List

Sets Relations & Functions

Complex Numbers

Introduction00:00:00

Definition00:00:00

Integral Powers of Iota (I)00:00:00

Equality of Complex Numbers00:00:00

Addition and Subtraction of Complex Numbers00:00:00

Multiplication of Complex Numbers00:00:00

Division of Complex Numbers00:00:00

Reciprocal of a Complex Number00:00:00

Conjugate of a Complex Numbers00:00:00

Square Root of a Complex Number00:00:00

Modulus of a Complex Numbers00:00:00

Polar Form of a Complex Numbers00:00:00

Argument (Amplitude) of a Complex Number 100:00:00

Argument (Amplitude) of a Complex Number 200:00:00

Euler’s (Exponential) Form of a Complex Number00:00:00

Multiplication and Division in Euler’s (Exponential) Form00:00:00

De Moivre’s Theorem00:00:00

Cube Roots of Unity00:00:00

Numericals (Level 1)00:00:00

Numericals (Level 2)00:00:00

Numericals (Level 3)00:00:00

Quadratic Equations

Matrices

Determinants

Permutations & Combination

Principles of Mathematical Induction

Binomial Theorem and Its Simple Applications

Limits

Continuity & Differentiability

Integral Calculus and Application of Integrals

Differentiation

Application of Derivatives

Differential Equations

Circle

Conic Section

Standard Equation of Parabola00:00:00

Basic Terms for a Standard Parabola00:00:00

Focal Distance of a Standard Parabola00:00:00

Foucs – Directrix Property00:00:00

Standard Parabola & Left Handed Parabola00:00:00

Upward Parabola & Downward Parabola00:00:00

Latus Rectum of a Standard Parabola00:00:00

Sum of Focal Distance of Any Point on Ellipse00:00:00

Standard Equation of an Ellipse00:00:00

Standard Equation of an Vertical Ellipse00:00:00

Other Terms of an Vertical Ellipse00:00:00

Standard Equation of a Hyperbola00:00:00

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 Hyperbola00:00:00

Numericals (Level 1)00:00:00

Numericals (Level 2)00:00:00

Straight Lines

Locus Part 100:00:00

Locus Part 200:00:00

Angle of Inclination00:00:00

Slope of Line00:00:00

Angle Between Intersecting Lines00:00:00

Slope of Perpendicular Lines00:00:00

Equations of a Straight Line Point Slope Form00:00:00

Equations of a Straight Line Two Point Form00:00:00

Equations of a Straight Line Slope Intercept Form00:00:00

Equations of a Straight Line Double Intercept Form00:00:00

Equations of a Straight Line Normal Form00:00:00

Equation of a Straight Line General Form00:00:00

Distance of Line from Origin00:00:00

Distance of a Point from a Given Line Part -100:00:00

Distance Between Two Parallel Lines00:00:00

Numericals (Level 1)00:00:00

Numericals (Level 2)00:00:00

Three Dimensional Geometry

Vector Algebra

Introduction00:00:00

Algebra of Vector00:00:00

Some Useful Identities00:00:00

Properties of Vector Addition and Multiplication00:00:00

Component of a Vector00:00:00

Section Formula00:00:00

Incentre Formula00:00:00

Proof of Incentre Formula00:00:00

Centroid, Orthocentre, Circumcentre00:00:00

Scalar Product of Two Vectors00:00:00

Properties of Scalar Product00:00:00

Scalar Triple Product00:00:00

Properties of Scalar Triple Product Part – 100:00:00

Properties of Scalar Triple Product Part – 200:00:00

Applications of Scalar Triple Product00:00:00

Vector Product of Two Vectors00:00:00

Properties of Vector Product00:00:00

Vector Triple Product00:00:00

Applications of Cross Product00:00:00

Reciprocal System of Vectors and Properties00:00:00

Numerical (Level 1)00:00:00

Numerical (Level 2)00:00:00

Numerical (Level 3)00:00:00

Statistics

Probability

Sequence & Series

Introduction00:00:00

Arithmetic Progression00:00:00

Sum of n Terms00:00:00

Types of Means (Arithmetic Mean)00:00:00

Geometric Progressions00:00:00

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 Mean (Geometric Mean)00:00:00

Expressing Recurring Decimals as Rational Numbers00:00:00

Arithmetic-Geometric Progressions (AGP)00:00:00

Sum of n Terms of AGP00:00:00

Sum to Infinity of AGP00:00:00

Harmonic Progressions00:00:00

Types of Means (Harmonic Mean)00:00:00

Relation Between AM GM & HM00:00:00

AM, GM & HM (If x = y)00:00:00

Sum of First n Natural Numbers00:00:00

Sum of Squares of First n Natural Numbers00:00:00

Sum of Cubes of First n Natural Numbers00:00:00

Numerical (Level 1)00:00:00

Numerical (Level 2)00:00:00

Trigonometric Functions

Inverse Trigonometric Functions

Inverse Trigonometric Functions Sin-100:00:00

Inverse Trigonometric Functions Cos-100:00:00

Inverse Trigonometric Functions Tan-100:00:00

Inverse Trigonometric Functions Sec-100:00:00

Inverse Trigonometric Functions Cosec-100:00:00

Inverse Trigonometric Functions Cot-100:00:00

Properties of Inverse Trigonometry Functions 100:00:00

Properties of Inverse Trigonometric Functions 200:00:00

Properties of Inverse Trigonometric Functions 300:00:00

Properties of Inverse Trigonometric Functions 400:00:00

Properties of Inverse Trigonometric Functions 500:00:00

Properties of Inverse Trigonometric Functions 600:00:00

Properties of Inverse Trigonometric Functions 800:00:00

Properties of Inverse Trigonometric Functions 1000:00:00

Properties of Inverse Trigonometric Functions 1100:00:00

Properties of Inverse Trigonometric Functions 1200:00:00

Properties of Inverse Trigonometric Functions 1300:00:00

Numerical (Level 1)00:00:00

Numerical (Level 2)00:00:00

Mathematical Reasoning

Linear Inequalities

Sets Introduction and Definition

Sets Relations & Functions

Sets Introduction and Definition00:00:00

Representing a Set00:00:00

Types of Sets Part-100:00:00

Types of Sets Part-200:00:00

Subsets Part -1 & Power Sets00:00:00

Subsets Part-100:00:00

Laws of Algebra of Sets Part – 100:00:00

Laws of Algebra of Sets Part – 200:00:00

Some Important Results Part – 100:00:00

Some Important Results Part – 200:00:00

Operations on Sets Part – 100:00:00

Operations on Sets Part – 200:00:00

Operations on Sets Part – 300:00:00

De Morgan’s Law00:00:00

Cartesian Product of Sets00:00:00

Some Results of Cartesian Product of Sets00:00:00

Relations00:00:00

Inverse of a Relations00:00:00

Types of Relations Part – 100:00:00

Reflexive Relations Part – 200:00:00

Symmetric and Transitive Relations Part – 300:00:00

Examples of Relations00:00:00

Function Introduction00:00:00

Definition and Number of Functions00:00:00

Types of Interval00:00:00

Types of Function 1-1 Function00:00:00

Types of Function Many One Function00:00:00

Types of Function Onto and Into Function00:00:00

Types of Function Onto and Into Function Part – 200:00:00

Domain of a Function Part – 100:00:00

Domain of a Function Part – 200:00:00

Range of a Function00:00:00

Types of Functions Part – 1 (Constant & Identity Function)00:00:00

Types of Functions Part – 2 (Polynomial & Rational Function)00:00:00

Types of Functions Part – 3 (Absolute Value Function)00:00:00

Types of Functions Part – 4 (Greatest Integer Function)00:00:00

Types of Functions Part – 5 (Functional Part Function)00:00:00

Types of Functions Part – 6 (Even & Odd Function)00:00:00

Types of Functions Part – 7 (Equal & Real Functions)00:00:00

Properties of Logarithmic Function00:00:00

Properties of Greatest Integer Functions00:00:00

Composite Functions00:00:00

Properties of Composite Function00:00:00

Inverse Function00:00:00

Properties of Inverse Function00:00:00

Function Numerical (Level 1)00:00:00

Function Numerical (Level 2)00:00:00

Function Numerical (Level 3)00:00:00

Complex Numbers

Introduction00:00:00

Definition00:00:00

Integral Powers of Iota (I)00:00:00

Equality of Complex Numbers00:00:00

Addition and Subtraction of Complex Numbers00:00:00

Multiplication of Complex Numbers00:00:00

Division of Complex Numbers00:00:00

Reciprocal of a Complex Number00:00:00

Conjugate of a Complex Numbers00:00:00

Square Root of a Complex Number00:00:00

Modulus of a Complex Numbers00:00:00

Polar Form of a Complex Numbers00:00:00

Argument (Amplitude) of a Complex Number 100:00:00

Argument (Amplitude) of a Complex Number 200:00:00

Euler’s (Exponential) Form of a Complex Number00:00:00

Multiplication and Division in Euler’s (Exponential) Form00:00:00

De Moivre’s Theorem00:00:00

Cube Roots of Unity00:00:00

Numericals (Level 1)00:00:00

Numericals (Level 2)00:00:00

Numericals (Level 3)00:00:00

Quadratic Equations

Introduction00:00:00

Polynomial Equation00:00:00

Roots of Quadratic Equations00:00:00

Relation Between Roots & Coefficients00:00:00

Nature of Roots00:00:00

Position of Roots of a Quadratic Equation Part – 100:00:00

Position of Roots of a Quadratic Equation Part – 200:00:00

Position of Roots of a Quadratic Equation Part – 300:00:00