Lesson List
Mathematical Logic
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
Truth Table Disjunction
00:00:00
Truth Table Implication
00:00:00
Truth Table Double Implication
00:00:00
Truth Table Negation
00:00:00
Duality
00:00:00
Negation of Conjunction
00:00:00
Negation of Disjunction
00:00:00
Negation of Implication
00:00:00
Negation of Double Implication
00:00:00
Negation of Negation
00:00:00
Converse, Inverse and Contrapositive
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
Conditional Law
00:00:00
Bi Conditional Law
00:00:00
Numerical (Level 1)
00:00:00
Numerical (Level 2)
00:00:00
Matrices
Algebra of Matrices (Addition, Subtraction, Scalar Multiplication)
00:00:00
Algebra of Matrices (Multiplication of Matrices)
00:00:00
Properties of Multiplication of Matrices
00:00:00
Inverse of a Matrix Introduction
00:00:00
Inverse of a Matrix by Transformation Method
00:00:00
Inverse of a Matrix Adjoint Method Part – 1
00:00:00
Inverse of a Matrix Adjoint Method Part – 2
00:00:00
Inverse of a Matrix Adjoint Method Part – 3
00:00:00
Trigonometric Functions
General Solutions of Trigonometry Functions Sin Theta
00:00:00
General Solutions of Trigonometry Functions Sin 2 Theta
00:00:00
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
Polar Coordinates Part – 1
00:00:00
Polar Coordinates Part -2
00:00:00
Sine Rule Theorem Part – 1
00:00:00
Sine Rule Theorem Part – 2
00:00:00
Cosine Rule Theorem
00:00:00
Projection Rule
00:00:00
Half Angle Formula Part – 1
00:00:00
Half Angle Formula Part – 2
00:00:00
Heron’s Formulae
00:00:00
Napier’s Analogy
00:00:00
Inverse Trigonometric Functions Sin-1
00:00:00
Inverse Trigonometric Functions Cos-1
00:00:00
Inverse Trigonometric Functions Tan-1
00:00:00
Inverse Trigonometric Functions Sec-1
00:00:00
Inverse Trigonometric Functions Cosec-1
00:00:00
Inverse Trigonometric Functions Cot-1
00:00:00
Properties of Inverse Trigonometry Functions 1
00:00:00
Properties of Inverse Trigonometric Functions 2
00:00:00
Properties of Inverse Trigonometric Functions 3
00:00:00
Properties of Inverse Trigonometric Functions 4
00:00:00
Properties of Inverse Trigonometric Functions 5
00:00:00
Properties of Inverse Trigonometric Functions 6
00:00:00
Properties of Inverse Trigonometric Functions 8
00:00:00
Properties of Inverse Trigonometric Functions 10
00:00:00
Properties of Inverse Trigonometric Functions 11
00:00:00
Properties of Inverse Trigonometric Functions 12
00:00:00
Properties of Inverse Trigonometric Functions 13
00:00:00
Vectors
Introduction
00:00:00
Distance Formula
00:00:00
Component of a Vector
00:00:00
Section Formula
00:00:00
Centroid, Orthocentre, Circumcentre
00:00:00
Algebra of Vector
00:00:00
Angle Between Two Lines
00:00:00
Scalar Product of Two Vectors
00:00:00
Scalar Triple Product
00:00:00
Properties of Scalar Product
00:00:00
Properties of Scalar Triple Product Part – 1
00:00:00
Properties of Scalar Triple Product Part – 2
00:00:00
Applications of Scalar Triple Product
00:00:00
Vector Product of Two Vectors
00:00:00
Properties of Vector Product
00:00:00
Vector Triple Product
00:00:00
Applications of Cross Product
00:00:00
Line & Plane
Skew Lines
00:00:00
Vector Equation of a Line Part – 1
00:00:00
Vector Equation of a Line Part – 2
00:00:00
Plane and Equation of Plane in Normal Form
00:00:00
Equation of a Plane Passing Through a Point and Parallel to Two Given Vector
00:00:00
Planes Bisecting Two Planes
00:00:00
Angle Between Two Planes and Parallel Planes
00:00:00
Distance of a Point From a Plane
00:00:00
Linear Programming
Convex Set
00:00:00
Graphical Solution of Two Variable Linear Programming Problem
00:00:00
Graph of Linear Inequation Part – 1
00:00:00
Graph of Linear Inequation Part – 2
00:00:00
Terms of Linear Programming
00:00:00
Numerical (Level 1)
00:00:00
Numerical (Level 2)
00:00:00
Numerical (Level 3)
00:00:00
Differentiation
Introduction
00:00:00
Derivative of Composite Function
00:00:00
Derivative of a Function and It’s Geometrical Meaning
00:00:00
Derivative of Some Standard Functions
00:00:00
Derivative of Implicit Function
00:00:00
Derivative of Type Xx
00:00:00
Derivative of Parametric Function
00:00:00
Higher Order Differentiation
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
Application of Derivatives
Tangent and Normal
00:00:00
Length of Tangent, Sub-Tangent, Normal and Sub-Normal
00:00:00
Derivatives as Rate of Change
00:00:00
Rolle’s Theorem
00:00:00
Lagrange’s Theorem
00:00:00
Monotonicity
00:00:00
Numerical (Level 1)
00:00:00
Numerical (Level 2)
00:00:00
Indefinite Integration
Indefinite Integration Formula – 1
00:00:00
Indefinite Integration Formula – 2
00:00:00
Indefinite Integration Formula – 3
00:00:00
Substitution Method Part – 1
00:00:00
Substitution Method Part – 2
00:00:00
Integrals of Some Trigonometric Function
00:00:00
Some Special Integrals Part – 1
00:00:00
Some Special Integrals Part – 2
00:00:00
Some Special Integrals Part – 3
00:00:00
Some special integrals part – 4
00:00:00
Some Special Integrals Part – 5
00:00:00
Some Special Integrals Part – 6
00:00:00
Integrals of Form
00:00:00
Integral of Type
00:00:00
Integrals of the Type – 1
00:00:00
Integrals of the Type – 2
00:00:00
Integrals of the Type I
00:00:00
Integral of Type I (Part II)
00:00:00
Integral of Type I (Part III)
00:00:00
Integrals of the Type II
00:00:00
Type III Part – 1
00:00:00
Type III Part – 2
00:00:00
Type IV
00:00:00
Integrals of the Type (One Example Solved)
00:00:00
Integration by Using Partial Fractions
00:00:00
Example of Partial Fractions Part-1
00:00:00
Example of Partial Fractions Part-2
00:00:00
Example of Partial Fractions Part-3
00:00:00
Integration of U.V
00:00:00
Proof of Integration of UV
00:00:00
Example of U.V Rule – Part – 1
00:00:00
Example of U.V Rule – Part – 2
00:00:00
Definite Integration
Introduction
00:00:00
Properties of Definite Integral
00:00:00
Properties of Definite Integration 1
00:00:00
Proof of Properties of Definite Integration
00:00:00
Proof of Properties of Definite Integration 2
00:00:00
Proof of Properties of Definite Integration 3
00:00:00
Examples of Properties of Definite Integral 1
00:00:00
Examples of Properties of Definite Integral 2
00:00:00
Examples of Properties of Definite Integral 3
00:00:00
Examples of Definite Integration 1
00:00:00
Examples of Definite Integration 2
00:00:00
Examples of Definite Integration 3
00:00:00
Some Important Shortcuts
00:00:00
Some Important Shortcuts Part II
00:00:00
Numericals on Definite Integration & Area Under Cover (Level – 1)
00:00:00
Numericals on Definite Integration & Area Under Cover (Level – 2)
00:00:00
Numericals on Definite Integration & Area Under Cover (Level – 3)
00:00:00
Application of Definite Integration
Area of Plane Regions
00:00:00
Area of Plane Regions Part II
00:00:00
Examples of Area of Plane Regions
00:00:00
Examples of Area of Plane Regions Part II
00:00:00
Numericals on Application of Definite Integration (Level – 1)
00:00:00
Differential Equation
Introduction
00:00:00
Differential Equations Definition
00:00:00
Method of Solving First Order, First Degree Differential Equations
00:00:00
Method of Solving First Order, First Degree Differential Equations 2
00:00:00
Method of Solving First Order, First Degree Differential Equations 3
00:00:00
Formation of Differential Equations
00:00:00
Solution of Differential Equation
00:00:00
Example of Homogeneous Differential Equations Part – 1
00:00:00
Example of Homogeneous Differential Equations Part – 2
00:00:00
Linear Differential Equations
00:00:00
Example of Linear Differential Equation Part – 1
00:00:00
Example of Linear Differential Equations Part – 2
00:00:00
Application of Differential Equations Part – 1
00:00:00
Application of Differential Equations Part – 2
00:00:00
Binomial Distribution
Binomial Coefficients
00:00:00
To Find Coefficients of Terms of Binomial Expansions
00:00:00
Binomial Theorem for Positive Integral Index
00:00:00
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Algebra of Matrices (Addition, Subtraction, Scalar Multiplication)
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