mathematics

This subject covers units such as trigonometry, algebra, differential calculus, integral calculus, statistics and probability and, vectors and 3d geometry

Algebra covers chapters such as Linear Programming, Matrices and Determinants, Fundamentals of Mathematics, Set Theory and Relations and, Logarithm and its Applications

Algebra

Differential Calculus covers chapters such as Functions, Limits, Application of Derivatives, Continuity and Differentiability and, Differential Coefficient

Differential Calculus

Trigonometry contains chapter Inverse Trigonometric Functions

Trigonometry

Integral Calculus covers chapters such as Differential Equation, Definite Integration, Indefinite Integration and, Area under Curves

Integral Calculus

Vectors and 3D Geometry covers chapters such as Vector Algebra and Three Dimensional Geometry

Vectors and 3D Geometry

Statistics and Probability contains chapter Probability

Statistics and Probability

Skills in Mathematics Trigonometry for JEE Main & Advanced

Skills in Mathematics Play with Graphs for JEE Main & Advanced

Comprehensive Guide to KCET (UG) Mathematics. Other applicable Exams - JEE Main, BITSAT, AMUEEE, MHT-CET, SRM JEE, EAMCET, VITEEE & Other State Engg. Entrance Exams

The Elements of COORDINATE GEOMETRY Part 1 Cartesian Coordinates

Plane Trigonometry Part 1

Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced

Chapterwise/Topicwise Daily Practice Problems (DPP) Vectors and 3D Geometry JEE Main & Advanced

Chapterwise/Topicwise Daily Practice Problems (DPP) Calculus JEE Main & Advanced

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced

Chapterwise/Topicwise Daily Practice Problems (DPP) Coordinate Geometry JEE Main & Advanced

Understanding ISC Mathematics Class 12 Volume 2

Understanding ISC Mathematics Class 11 Volume 2

Understanding ISC Mathematics Class 11 Volume 1

Understanding ISC Mathematics Class 12 Volume 1

Golden MATHEMATICS CLASS 11

MATHEMATICS PART II Textbook for Class XII

MATHEMATICS PART I Textbook for Class XII

Mathematics Textbook for Class 11

Volume of a Prism Using Scalar Triple Product

The Shortest Distance Between Two Skew Lines

Properties of Binary Operations

Formulation of a Linear Programming Problem

Value of Determinant (Cofactor Expansion)

Minor and Cofactor of Elements of a Determinant

Exponents & Logarithms

Examples on Logarithms

The Mantissa of Log

Logarithm: Characteristic and Mantissa

Properties of Determinants (Part 3)

Properties of Determinants (Part 2)

Properties of Determinants (Part 1)

Illustration on Properties of Determinant

Properties of Determinant (Part 4)

Special Types of Matrices

Properties of ITF: Illustration-3

Properties of ITF: Illustration-2

Properties of ITF: Illustration-1

Properties of Inverse Trigonometric Functions

Principal Value of ITF: Illustrations 2

The Inverse of Cot Function

Reflection of a Graph of tanx on the Line y=x

Graph of cos⁻¹ x

Graph of sin⁻¹ x

The Inverse of Sine Function

Inverse Function: Theorem

Inverse Function

One-one and Onto of Composition of Functions

Composite Functions: Illustration

Composition of Functions: Theorem

Composition of Functions

Types of Functions

Modulus Function

The Reciprocal Function

Graphs of Linear Real-Valued Functions

Real-Valued Functions

Range of a Function: Illustration

Domain, Co-Domain and Range of a Function

Properties of Cartesian Product : Example

Example on Cartesian Product of Sets

Cartesian Product of Sets: Example

Cartesian Product of Two Sets: Illustration

Cartesian Product of Sets

Ordered Pairs

Verification: n(A∪B)=n(A)+n(B)-n(A∩B)

Complement of Set

Symmetric Difference of Sets

Difference of Sets

Distributive Law of Sets

Examples of De Morgan’s Law and Distributive Law

The Intersection in Set Operations

The Union in Set Operations

Subsets and Equal Sets

Number of Elements in Sets

Universal Set and Subsets

Power Set of a Set

Equivalent Sets

Finite and Infinite Sets

Empty Set

Cardinality and Types of Sets

Notations for a Set

Proportion

Illustration on Binomial Distribution

Binomial Distribution Problem

Example on Binomial Distribution

Bernoulli Trials and Binomial Distribution

Probability Distribution: Illustration

Probability Distribution: Example

Illustration on Probability Distribution

Results Related to Mathematical Expectation

Mean, Variance and S.D. of Random Variable

Probability Distribution of a Random Variable

Random Variable and Probability Distribution

Introduction to Random Variable

Bayes' Theorem

The Law of Total Probability

Illustration on Pairwise Independent Events

Independency of More Than Two Events

Illustration on Conditional Probability

Problem on Conditional Probability

Angle Between a Line and a Plane

Angle Between Two Planes: Illustration

Angle Between Two Planes

Skew Lines

Line and a Plane

Equation of Plane Making Intercepts on Axes

Equation of a Plane: Illustration

Cartesian Equation of the Plane

Plane and Its Equation

Straight Line in 3D: Illustration

Equation of a Line With Two Points

Cartesian Equation of the Line

Direction Cosine and Direction Ratio

Angle Between Two Lines

Cross Product

Scalar Product of Vectors: Illustration

Properties of Scalar Product

Scalar Product

The Centroid of a Triangle

This chapter covers topics, such as Basics of 3D Geometry, Interaction between a Line and a Plane, Interaction between Two Planes, Family of Planes, Equation of a Line in 3D, Equation of Plane, Plane and a Point, Line and a Point, Sphere, etc.

Three Dimensional Geometry

This chapter covers topics, such as Terminology and Formulation of Linear Programming Problems, and Solution of Linear Programming Problems.

Linear Programming

This chapter covers topics, such as Basics of Functions, Composite Functions, Periodic Functions, Transformation of Graphs, Types of Functions, Inverse Functions, and Even and Odd Functions.

Functions

This chapter covers topics, such as Dot Product of Two Vectors, Basics of Vectors, Geometrical Application of Vectors, Linearly Dependent and Independent Vectors, Cross Product of Two Vectors, Addition of Vectors, etc.

Vector Algebra

This chapter covers topics, such as Basics of Limits and Methods of Evaluation of Limits.

Limits

This chapter covers topics, such as Properties of Definite Integral, Newton Leibnitz's Theorem, Definite Integral as Limit of a Sum, Reduction Formulae for Definite Integration, Basics of Definite Integral, and Estimation of Definite Integral.

Definite Integration

This chapter covers topics, such as Algebra of Sets, Types of Sets, Subsets and Power Set, Basics of Sets, Basics of Relations, Types of Relations, and Binary Operations.

Set Theory and Relations

This chapter covers topics, such as Inverse of a Matrix, Special Types of Matrices, Basics of Matrices, Algebra of Matrices, Properties of Determinants, Eigenvalues and Characteristic Equation, Determinant of a Square Matrix, etc.

Matrices and Determinants

This chapter covers topics, such as Differentiability of a Function, Continuity of a Function, Properties of Continuous Functions, and Properties of Differentiable Functions.

Continuity and Differentiability

This chapter covers topics, such as Algebraic Inequalities, Partial Fractions, Ratio and Proportion, Exponential Series, Logarithmic Series, Surds and Indices, Number System, Variation.

Fundamentals of Mathematics

This chapter covers topics, such as Algebra of Probability, Total Probability and Bayes' Theorem, Conditional Probability, Basics of Probability, Bernoulli Trials and Binomial Distribution, and Probability Distribution of a Random Variate.

Probability

This chapter covers topics, such as Curve Tracing, Area under the Curve, and Area Bounded between Two Curves.

Area under Curves

This chapter covers topics, such as Methods of Integration, Integration of Irrational Functions, Reduction Formulae for Indefinite Integration, Integration Using Trigonometric Identities, Basics of Indefinite Integral, etc.

Indefinite Integration

This chapter covers topics, such as Methods of Differentiation, Basics of Differentiation, and Higher Order Derivatives.

Differential Coefficient

This chapter covers topics, such as Tangent and Normal, Monotonicity, Derivative as Rate of Change, Mean Value Theorems, Interaction between Two Curves, and Maxima and Minima.

Application of Derivatives

This chapter covers topics, such as Identities of Inverse Trigonometric Functions, Properties of Inverse Trigonometric Functions, Basics of Inverse Trigonometric Functions, and Inverse Trigonometric Equations and Inequalities.

Inverse Trigonometric Functions

This chapter covers topics, such as Basics of Logarithm, Properties of Logarithms, and Logarithmic Equations and Inequalities.

Logarithm and its Applications

This chapter covers topics, such as Variable Separable Form, Application of Differential Equations, Basics of Differential Equations, Homogeneous Differential Equations, Linear Differential Equations, and Exact Differential Equations.

Differential Equation

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