mathematics

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

Algebra covers chapters such as Permutation and Combination, Complex Numbers, Binomial Theorem, Sequence and Series, Linear Programming, Mathematical Reasoning, Mathematical Induction, Matrices and Determinants and, Theory of Equation

Algebra

Trigonometry covers chapters such as Inverse Trigonometric Functions, Heights and Distances, Trigonometric Ratios and Identities and, Trigonometric Equations and Inequations

Trigonometry

Coordinate Geometry covers chapters such as Circle, Ellipse, Parabola, Hyperbola and, Straight Line

Coordinate Geometry

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

Differential Calculus

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 covers chapters such as Probability and Statistics

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

Tangent to Standard Parabola in Slope Form

Tangents to a Circle From an External Point

Volume of a Prism Using Scalar Triple Product

Tangent to the Ellipse at a Given Point

Tangent to a Standard Parabola at a Given Point

Family of Straight Lines: Example

Pair of Lines Parallel to the Pair of Lines

Graphing Quadratic Function: Standard Form

Graphing Quadratic Function: Vertex Form

Counter Example Method for Validity of a Statement

Using Algebraic Expressions - Rules

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)

n- Geometric Means Between Two Numbers

Mathematical Induction: Illustration

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

Definition and Equation of a Circle

Angle Between Two Lines

Conditions for Two Lines to Be Parallel

Finding N Arithmetic Means Between Two Numbers

Arithmetic Mean

Roots of Quadratic Equation: Illustration

Convert Degree Into Radian & Radian Into Degree

Relation Between Radian and Degree

Systems for Measurement of Angles

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

Nature of the Roots: Illustration 1

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

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

Three Dimensional Geometry

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

Indefinite Integration

This chapter covers the topic of First Principle of Mathematical Induction.

Mathematical Induction

This chapter covers topics such as Logical Connectives, Quantifiers and Negations, Basics of Mathematical Reasoning, Conditional Statements, Validity of a Statement, and Algebra of Statements.

Mathematical Reasoning

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

Fundamentals of Mathematics

This chapter covers topics such as Trigonometric Equations and Trigonometric Inequations.

Trigonometric Equations and Inequations

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

Probability

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

Differential Equation

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

Area under Curves

This chapter covers topics such as Algebraic Equations of Higher Degree, Quadratic Equation and its Solutions, Location of Roots, Range and Graph of Quadratic Expressions, Common Roots, Algebraic Expressions, Equations and Identities, etc.

Theory of Equation

This chapter covers topics such as Tangent and Normal to an Ellipse, Pair of Tangents, Chord of Contact and Chord with Midpoint of an Ellipse, Basics of Ellipse, Properties of Ellipse, and Interaction between Ellipse and a Line.

Ellipse

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 Binomial Theorem for Positive Integral Index, Properties of Binomial Coefficients, Series involving Binomial Coefficients, Multinomial Theorem, General Term, Middle Term and Greatest Term in Binomial Expansion, etc.

Binomial Theorem

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

Set Theory and Relations

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

Definite Integration

This chapter covers topics such as Trigonometric Identities, Trigonometric Functions and Properties, Conditional Identities, Range of Trigonometric Expressions, Basics of Trigonometry, Trigonometric Series, etc.

Trigonometric Ratios and Identities

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

Continuity and Differentiability

This chapter covers topics such as Pair of Tangents, Chord of Contact and Chord with Midpoint of a Parabola, Basics of Parabola, Interaction between Parabola and a Line, Basics of Conic Section, Interaction between Two Conics, etc.

Parabola

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

Differential Coefficient

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 Tangent and Normal, Derivative as Rate of Change, Mean Value Theorems, Monotonicity, Interaction between Two Curves, Maxima and Minima, etc.

Application of Derivatives

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

Matrices and Determinants

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

Inverse Trigonometric Functions

This chapter covers topics such as Properties of Hyperbola, Asymptotes of Hyperbola, Chord of Contact and Chord with Midpoint of a Hyperbola, Tangent and Normal to a Hyperbola, Basics of Hyperbola, Interaction between Hyperbola and a Line, etc.

Hyperbola

This chapter covers the topic of Heights and Distances.

Heights and Distances

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

Vector Algebra

This chapter covers topics such as Transformation of Axes, Equation of a Straight Line in Various Forms, Straight Line and a Point, Basics of 2D Coordinate Geometry, Pair of Straight Lines, Family of Straight Lines, Angle Bisectors, etc.

Straight Line

This chapter covers topics such as Fundamental Principles of Counting, Combination, Circular Permutation, Inclusion-Exclusion Principle, Division and Distribution of Objects, and Permutation.

Permutation and Combination

This chapter covers topics such as Algebra of Complex Numbers, Properties of Conjugate, Modulus and Argument of Complex Numbers, De Moivre's Theorem, Basics of Complex Numbers, Geometry of Complex Numbers, Roots of Unity, etc.

Complex Numbers

This chapter covers topics such as Measures of Central Tendency, Measures of Dispersion, and Basics of Statistics.

Statistics

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

Limits

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

Functions

This chapter covers topics such as Arithmetic Progression, A.M., G.M., H.M. and Their Relations, Arithmetico-Geometric Progression, Basics of Sequence and Series, Harmonic Progression, Geometric Progression, Miscellaneous Series, etc.

Sequence and Series

This chapter covers topics such as Interaction between Circle and a Line, Circle and a Point, Basics of Circle, Family of Circles, Pair of Tangents, Chord of Contact and Chord with Midpoint of a Circle, Coaxial System of Circles, etc.

Circle

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