mathematics

This subject covers units such as trigonometry, algebra, coordinate geometry, differential calculus and, mathematical reasoning and statistics

Algebra covers chapters such as Sets, Probability, Permutation and Combination, Binomial Theorem, Sequences and Series, Relations and Functions, Mathematical Induction, Linear Inequalities and, Complex Numbers and Quadratic Equations

Algebra

Trigonometry covers chapters such as Trigonometric Functions and Properties of Triangle

Trigonometry

Coordinate Geometry covers chapters such as Straight Lines, Conic Sections and, Introduction to Three Dimensional Geometry

Coordinate Geometry

Differential Calculus contains chapter Limits and Derivatives

Differential Calculus

Mathematical Reasoning and Statistics covers chapters such as Statistics and Mathematical Reasoning

Mathematical Reasoning and Statistics

Senior Secondary School Mathematics FOR CLASS 11

MATHEMATICS Textbook for Class XI

MATHEMATICS for CLASS XI

NCERT Exemplar Mathematics - Class 11

Golden MATHEMATICS CLASS 11

Mathematics Textbook for Class 11

Validating Statements Using Direct Method

Counter Example Method for Validity of a Statement

General Term in a Multinomial Expansion

Applications of Section Formula

Implications of Conditional Statements

Biconditional Statements and Their Negations

Section Formula in Three-Dimensional Space

Number of Distinct Terms in a Multinomial Expansion

Deriving the Multinomial Theorem

Variance and Standard Deviation for Ungrouped Distribution

Mean Deviation About Mean and Median for Ungrouped Data

Discrete Frequency Stats: Mean, Variance, SD

Mean Deviation, Its Merits, and Demerits

Quartile Deviation

Relations

Coefficient of Variation

Measures of Dispersion

Mean Deviation of Ungrouped Data

Variance - Properties, Merits and Demerits

Standard Deviation - Properties, Merits and Demerits

Variance and SD for Grouped Frequency Distribution

Variance and SD of Continuous Distribution

Mean Deviation of Grouped Data

Exponents & Logarithms

Examples of Area of Triangles

Examples of Properties of Triangles

Napier's Analogy

The Projection Formula

Cosine Rule

Sine Rule

Properties of Triangles

Examples on Logarithms

Working Rules for Logarithms

The Mantissa of Log

Logarithm: Characteristic and Mantissa

n- Geometric Means Between Two Numbers

Mathematical Induction: Illustration

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

Range of a Function: Illustration

Domain, Co-Domain and Range of a Function

Concept 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

Equality of Ordered Pairs

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

Venn Diagrams

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 Probability of Events

Addition Theorem

Axiomatic Definition of Probability

Mutually Exclusive Events

Types of Events

Application of Probability Tree

Sample Space

Disjunction of Two Statements

Conjunction of Two Statements

Negation of a Statement

Mathematical Statement

Differentiation of Algebraic Functions - Example

Product and Quotient Rule of Differentiation

Addition and Subtraction Rule of Differentiation

Some More Standard Derivatives

Some Standard Derivatives: Proof

Some Standard Derivatives

Physical Interpretation of Derivative

First Principle of Differentiation

Definition of Derivative

Finding Limits Involving Trigonometric Functions

Standard Limits Involving Trigonometric Functions

Finding Limits Using Standard Limits

This chapter covers topics, such as, The Principle of Mathematical Induction etc.

Mathematical Induction

This chapter covers topics, such as, Hyperbola, Circle, Ellipse, Sections of a Cone & Parabola etc.

Conic Sections

This chapter covers topics, such as, Relations among Sides and Angles of a Triangle etc.

Properties of Triangle

This chapter covers topics, such as, Slope of a Line, Distance of a Point From a Line, Various Forms of the Equation of a Line, General Equation of a Line & Basics of 2D Coordinate Geometry etc.

Straight Lines

This chapter covers topics, such as, Derivatives of Polynomials and Trigonometric Functions, Algebra of Derivative of Functions, First Principle of Differentiation & Limits of Trigonometric Functions etc.

Limits and Derivatives

This chapter covers topics, such as, Permutations when All the Objects are Distinct, Fundamental Principle of Counting, Combinations, Factorial Notation, Permutations & Permutations when All the Objects are Not Distinct Objects etc.

Permutation and Combination

This chapter covers topics, such as, Solutions of Linear Inequalities in One Variable, Types of Inequalities & Solutions of Linear Inequalities in Two Variables etc.

Linear Inequalities

This chapter covers topics, such as, Introduction to Trigonometric Functions, Trigonometric Equations, Trigonometric Functions of Sum and Difference of Two Angles & Angles etc.

Trigonometric Functions

This chapter covers topics, such as, Statements, New Statements from Old, Logical Connectives and Quantifiers, Validating Statements & Implications etc.

Mathematical Reasoning

This chapter covers topics, such as, Distance Formula in 3D, Coordinate Axes and Coordinate Planes in 3D & Section Formula in 3D etc.

Introduction to Three Dimensional Geometry

This chapter covers topics, such as, Analysis of Frequency Distributions, Measures of Dispersion, Mean Deviation & Variance and Standard Deviation etc.

Statistics

This chapter covers topics, such as, Cartesian Products of Sets, Functions, Algebra of Real Functions, Special Functions and Their Graphs, Domain and Range of Functions, Relations & Logarithmic Function and Its Properties etc.

Relations and Functions

This chapter covers topics, such as, Random Experiments, Events & Axiomatic Approach to Probability etc.

Probability

This chapter covers topics, such as, General and Middle Terms, Binomial Theorem for Positive Integral Indices & Multinomial Theorem etc.

Binomial Theorem

This chapter covers topics, such as, Arithmetic Progression, Relationship Between Arithmetic Mean and Geometric Mean, Geometric Progression, Introduction to Sequences and Series, Arithmetic Mean, Sum to n Terms of Special Series & Geometric Mean etc.

Sequences and Series

This chapter covers topics, such as, Algebra of Complex Numbers, Complex Numbers, The Modulus and the Conjugate of a Complex Number, Argand Plane and Polar Representation & Quadratic Equations etc.

Complex Numbers and Quadratic Equations

This chapter covers topics, such as, Subsets, Practical Problems on Union and Intersection of Two Sets, Sets and Their Representations, Types of Sets, Complement of a Set, Operations on Sets, Difference of Sets & Venn Diagrams etc.

Sets

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