mathematics

This subject covers units such as trigonometry, statistics, algebra, coordinate geometry, differential calculus, integral calculus and, three dimensional geometry

Algebra covers chapters such as Matrices and Determinants, Sets, Relations and Functions, Basic Algebra, Introduction to Probability Theory, Combinatorics and Mathematical Induction and, Binomial Theorem, Sequences and Series

Algebra

Trigonometry contains chapter Trigonometry

Trigonometry

Differential Calculus covers chapters such as Differential Calculus-Limits and Continuity and Differential Calculus-Differentiability and Methods of Differentiation

Differential Calculus

Integral Calculus contains chapter Integral Calculus

Integral Calculus

Coordinate Geometry contains chapter Two Dimensional Analytical Geometry

Coordinate Geometry

Three Dimensional Geometry contains chapter Vector Algebra-1

Three Dimensional Geometry

Statistics covers chapters such as Measures of Central Tendency, Measures of Dispersion, Probability Distributions, Classification and Tabulation of Data, Mathematical Methods and, Diagrammatic and Graphical Representation of Data

Statistics

Statistics Standard 11

Mathematics Standard 11 Vol II

Mathematics Standard 11 Vol I

Golden MATHEMATICS CLASS 11

Mathematics Textbook for Class 11

Pair of Lines Parallel to the Pair of Lines

Section Formula in Three-Dimensional Space

Deriving the Multinomial Theorem

Derivative of Functions in Parametric Form

Derivatives of Exponential and Logarithmic Functions

Measures of Dispersion

Mean Deviation of Grouped Data

Value of Determinant (Cofactor Expansion)

Examples of Area of Triangles

Examples of Properties of Triangles

Napier's Analogy

The Projection Formula

Cosine Rule

Sine Rule

Examples on Logarithms

Working Rules for Logarithms

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

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

Angle Between Two Lines

Arithmetic Mean

Convert Degree Into Radian & Radian Into Degree

Relation Between Radian and Degree

Systems for Measurement of Angles

The Reciprocal Function

Concept of a Function

Cartesian Product of Sets

Symmetric Difference of Sets

Universal Set and Subsets

Power Set of a Set

Representing Rational Numbers on a Number Line

Introduction to Data Handling

Organising Data and Frequency of Data

Basics of Data

Illustration on Binomial Distribution

Binomial Distribution Problem

Example on Binomial Distribution

Bernoulli Trials and Binomial Distribution

Results Related to Mathematical Expectation

Mean, Variance and S.D. of Random Variable

Probability Distribution of a Random Variable

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

Direction Cosine and Direction Ratio

Cross Product

Scalar Product of Vectors: Illustration

Properties of Scalar Product

Scalar Product

The Centroid of a Triangle

Vector Joining Two Points

Multiplication of Vectors by Scalars: Properties

Multiplication of a Vector With a Scalar

Examples on Addition of Vectors

Addition of Vectors

Unit Vector in the Direction of a Given Vector

Unit Vector and Linear Combination of Vectors

Direction Cosine

Position Vector

Definition of Vector and its Magnitude

Standard Form of Indefinite Integral - 3

Standard Form of Indefinite Integral - 2

Standard Form of Indefinite Integral

Integration by Parts: Illustration

Integration by Parts

Method of Partial Fractions

Proper and Improper Rational Functions

Indefinite Integral Illustration

Integration of Trigonometric Form

Integrals of Different Forms

Integrals With Trigonometric Substitutions

Standard Indefinite Integrals

Indefinite Integrals: Illustration

Properties of Indefinite Integrals

Concept of Integration

Higher Order Derivative

Derivative of Composite Functions - Chain Rule

Continuity Theorem

Derivative at a Point

Continuity Over an Interval

Sarrus Method for Expansion of Determinant

Expansion of Determinant (Order 2 and 3)

Addition of Matrices

This chapter covers topics like Introduction to Binomial, Exponential and Logarithmic Series, Introduction to Elementary Calculus, and Permutations and Combinations.

Mathematical Methods

This chapter covers topics like Continuous Distributions, Discrete Distributions, and Fitting of Binomial, Poisson and Normal Distributions.

Probability Distributions

This chapter covers topics like Distribution Function and its Properties, Joint and Marginal Probability Mass Function, Mathematical Expectation, Moments, and Random Variables.

Random Variables and Mathematical Expectation

This chapter covers topics like Axioms of Probability, Conditional Probability and Independent Events, Definitions of Probability, and Multiplication Theorem on Probability.

Elementary Probability Theory

This chapter covers topics like Absolute Measures, Box Plot, Moments, Relative Measures, and Skewness and Kurtosis.

This chapter covers the topic of Various Measures of Central Tendency in detail.

Measures of Central Tendency

This chapter covers topics like Rules for Constructing Diagrams and Types of Diagrams, and Types of Graphs.

Diagrammatic and Graphical Representation of Data

This chapter covers topics like Classification of Data and Types of Classification, Frequency Distribution, Stem and Leaf Plot, and Tabulation.

Classification and Tabulation of Data

This chapter covers topics like Data Collection Process with Primary and Secondary Data, Population and Census Data, Sampling and Non-sampling Errors, and Sampling Method.

Collection of Data and Sampling Methods

This chapter covers topics like Big Data and Types of Data, Introduction to Statistics, Measurement Scales, and Scope and Application of Statistics.

Scope of Statistics and Types of Data

This chapter covers topics like Basic Definitions and Finite Sample Space, Bayes' Theorem, Conditional Probability, Finite Sample Space, Probability, Some Basic Theorems on Probability, and Total Probability of an Event.

Introduction to Probability Theory

This chapter covers topics like Methods of Integration by partial fraction, Methods of Integration by parts, Methods of Integration by Substitution, Newton-Leibnitz Integral and Basic Rules of Integration, etc.

This chapter covers topics like Differentiability and Continuity, Differentiation Rules, and The Concept of Derivative.

Differential Calculus-Differentiability and Methods of Differentiation

This chapter covers topics like Continuity, and Limits.

Differential Calculus-Limits and Continuity

This chapter covers topics like Determinants and Matrices.

Matrices and Determinants

This chapter covers topics like Locus of a Point, Pair of Straight Lines, and Straight Lines.

Two Dimensional Analytical Geometry

This chapter covers topics like Binomial Theorem, Finite Sequences, Finite Series, and Infinite Sequences and Series.

Binomial Theorem, Sequences and Series

This chapter covers topics like Combinations, Fundamental Principles of Counting, Mathematical Induction, and Permutations.

Combinatorics and Mathematical Induction

This chapter covers topics like Introduction to Trigonometry and Radian Measurement of Angle, Inverse Trigonometric Functions, Trigonometric Equations, Trigonometric Functions and their Properties and Trigonometric Identities, etc.

This chapter covers topics like Absolute Value, Exponents and Radicals, Linear Inequalities, Logarithms, Polynomial Functions, Quadratic Functions and Inequalities, Rational Functions, and Real Number System.

Basic Algebra

This chapter covers topics like Cartesian Product and Relations, Functions, and Sets.

Sets, Relations and Functions

This chapter covers topics such as Representation of a Vector and Types of Vectors, Algebra of Vectors and Position Vector, Resolution of Vectors and Direction Cosines and Direction Ratios etc.

Vector Algebra

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