Introduction – Studi.live

Mathematical Logic

Introduction00:00:00

Connectives – AND and OR00:00:00

Connectives – If and Then00:00:00

Connectives – If and Only If and Negation00:00:00

Truth Table Conjunction00:00:00

Truth Table Disjunction00:00:00

Truth Table Implication00:00:00

Truth Table Double Implication00:00:00

Truth Table Negation00:00:00

Duality00:00:00

Negation of Conjunction00:00:00

Negation of Disjunction00:00:00

Negation of Implication00:00:00

Negation of Double Implication00:00:00

Negation of Negation00:00:00

Converse, Inverse and Contrapositive00:00:00

Algebra of Statements Indements Law00:00:00

Algebra of statements Associative Law00:00:00

Algebra of statements Distributive Law00:00:00

De Morgan’s Law00:00:00

Identity Law00:00:00

Complement Law00:00:00

Absorption Law00:00:00

Conditional Law00:00:00

Bi Conditional Law00:00:00

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 Matrices00:00:00

Inverse of a Matrix Introduction00:00:00

Inverse of a Matrix by Transformation Method00:00:00

Inverse of a Matrix Adjoint Method Part – 100:00:00

Inverse of a Matrix Adjoint Method Part – 200:00:00

Inverse of a Matrix Adjoint Method Part – 300:00:00

Trigonometric Functions

General Solutions of Trigonometry Functions Sin Theta00:00:00

General Solutions of Trigonometry Functions Sin 2 Theta00:00:00

General Solutions of Trigonometry Functions Cos Theta00:00:00

General Solutions of Trigonometry Functions Cos 2 Theta00:00:00

General Solutions of Trigonometry Functions Tan Theta00:00:00

General Solutions of Trigonometry Functions Tan 2 Theta00:00:00

Polar Coordinates Part – 100:00:00

Polar Coordinates Part -200:00:00

Sine Rule Theorem Part – 100:00:00

Sine Rule Theorem Part – 200:00:00

Cosine Rule Theorem00:00:00

Projection Rule00:00:00

Half Angle Formula Part – 100:00:00

Half Angle Formula Part – 200:00:00

Heron’s Formulae00:00:00

Napier’s Analogy00:00:00

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

Vectors

Introduction00:00:00

Distance Formula00:00:00

Component of a Vector00:00:00

Section Formula00:00:00

Centroid, Orthocentre, Circumcentre00:00:00

Algebra of Vector00:00:00

Angle Between Two Lines00:00:00

Scalar Product of Two Vectors00:00:00

Scalar Triple Product00:00:00

Properties of Scalar 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

Line & Plane

Skew Lines00:00:00

Vector Equation of a Line Part – 100:00:00

Vector Equation of a Line Part – 200:00:00

Plane and Equation of Plane in Normal Form00:00:00

Equation of a Plane Passing Through a Point and Parallel to Two Given Vector00:00:00

Planes Bisecting Two Planes00:00:00

Angle Between Two Planes and Parallel Planes00:00:00

Distance of a Point From a Plane00:00:00

Linear Programming

Convex Set00:00:00

Graphical Solution of Two Variable Linear Programming Problem00:00:00

Graph of Linear Inequation Part – 100:00:00

Graph of Linear Inequation Part – 200:00:00

Terms of Linear Programming00:00:00

Numerical (Level 1)00:00:00

Numerical (Level 2)00:00:00

Numerical (Level 3)00:00:00

Differentiation

Introduction00:00:00

Derivative of Composite Function00:00:00

Derivative of a Function and It’s Geometrical Meaning00:00:00

Derivative of Some Standard Functions00:00:00

Derivative of Implicit Function00:00:00

Derivative of Type Xx00:00:00

Derivative of Parametric Function00:00:00

Higher Order Differentiation00:00:00

Derivative of nth Order of Some Standard Functions00:00:00

Derivative of nth Order of Some Standard Functions Part II00:00:00

Application of Derivatives

Tangent and Normal00:00:00

Length of Tangent, Sub-Tangent, Normal and Sub-Normal00:00:00

Derivatives as Rate of Change00:00:00

Rolle’s Theorem00:00:00

Lagrange’s Theorem00:00:00

Monotonicity00:00:00

Numerical (Level 1)00:00:00

Numerical (Level 2)00:00:00

Indefinite Integration

Indefinite Integration Formula – 100:00:00

Indefinite Integration Formula – 200:00:00

Indefinite Integration Formula – 300:00:00

Substitution Method Part – 100:00:00

Substitution Method Part – 200:00:00

Integrals of Some Trigonometric Function00:00:00

Some Special Integrals Part – 100:00:00

Some Special Integrals Part – 200:00:00

Some Special Integrals Part – 300:00:00

Some special integrals part – 400:00:00

Some Special Integrals Part – 500:00:00

Some Special Integrals Part – 600:00:00

Integrals of Form00:00:00

Integral of Type00:00:00

Integrals of the Type – 100:00:00

Integrals of the Type – 200:00:00

Integrals of the Type I00:00:00

Integral of Type I (Part II)00:00:00

Integral of Type I (Part III)00:00:00

Integrals of the Type II00:00:00

Type III Part – 100:00:00

Type III Part – 200:00:00

Type IV00:00:00

Integrals of the Type (One Example Solved)00:00:00

Integration by Using Partial Fractions00:00:00

Example of Partial Fractions Part-100:00:00

Example of Partial Fractions Part-200:00:00

Example of Partial Fractions Part-300:00:00

Integration of U.V00:00:00

Proof of Integration of UV00:00:00

Example of U.V Rule – Part – 100:00:00

Example of U.V Rule – Part – 200:00:00

Definite Integration

Introduction00:00:00

Properties of Definite Integral00:00:00

Properties of Definite Integration 100:00:00

Proof of Properties of Definite Integration00:00:00

Proof of Properties of Definite Integration 200:00:00

Proof of Properties of Definite Integration 300:00:00

Examples of Properties of Definite Integral 100:00:00

Examples of Properties of Definite Integral 200:00:00

Examples of Properties of Definite Integral 300:00:00

Examples of Definite Integration 100:00:00

Examples of Definite Integration 200:00:00

Examples of Definite Integration 300:00:00

Some Important Shortcuts00:00:00

Some Important Shortcuts Part II00:00:00

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 Regions00:00:00

Area of Plane Regions Part II00:00:00

Examples of Area of Plane Regions00:00:00

Examples of Area of Plane Regions Part II00:00:00

Numericals on Application of Definite Integration (Level – 1)00:00:00

Differential Equation

Introduction00:00:00

Differential Equations Definition00:00:00

Method of Solving First Order, First Degree Differential Equations00:00:00

Method of Solving First Order, First Degree Differential Equations 200:00:00

Method of Solving First Order, First Degree Differential Equations 300:00:00

Formation of Differential Equations00:00:00

Solution of Differential Equation00:00:00

Example of Homogeneous Differential Equations Part – 100:00:00

Example of Homogeneous Differential Equations Part – 200:00:00

Linear Differential Equations00:00:00

Example of Linear Differential Equation Part – 100:00:00

Example of Linear Differential Equations Part – 200:00:00

Application of Differential Equations Part – 100:00:00

Application of Differential Equations Part – 200:00:00

Binomial Distribution

Binomial Coefficients00:00:00

To Find Coefficients of Terms of Binomial Expansions00:00:00

Binomial Theorem for Positive Integral Index00:00:00

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Introduction