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

NCERT Exemplar Mathematics - Class 11

Golden MATHEMATICS CLASS 11

Mathematics Textbook for Class 11

Validating Statements Using Direct Method

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

Intervals and Subsets of Real Numbers

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

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

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

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

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

Theorem on Limits

Limit of Polynomial & Rational Functions

This chapter covers the topic of Relations among Sides and Angles of a Triangle.

Properties of Triangle

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

Mathematical Induction

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

Permutation and Combination

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

Relations and Functions

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

Straight Lines

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

Linear Inequalities

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

Trigonometric Functions

This chapter covers topics such as Derivatives of Polynomials and Trigonometric Functions, Algebra of Derivative of Functions, Limits of Polynomials and Rational Functions, Introduction to Limits, Limits of Trigonometric Functions, etc.

Limits and Derivatives

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

Sequences and Series

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

Probability

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

Conic Sections

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

Sets

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

Binomial Theorem

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

Introduction to Three Dimensional Geometry

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

Statistics

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

Complex Numbers and Quadratic Equations

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

Mathematical Reasoning

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