Mathematics

Algebra covers chapters such as Sets, Permutations and Combinations, Binomial Theorem, Sequences and Series, Relations and Functions, Mathematical Reasoning, Principle of Mathematical Induction and, Linear Inequalities

Algebra

Trigonometry contains chapter Trigonometric Functions

Trigonometry

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

Coordinate Geometry

Differential Calculus contains chapter Limit and Differentiation

Differential Calculus

Statistics and Probability covers chapters such as Probability and Statistics

Statistics and Probability

Bureau's Higher Secondary Elements of Mathematics Vol.1

Golden MATHEMATICS CLASS 11

Mathematics Textbook for Class 11

Tangent to Standard Parabola in Slope Form

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

Implications of Conditional Statements

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

Relations

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

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

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

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

Tangent and Chord for Concentric Circles

Tangent as Perpendicular to Radius: Illustration

Tangent as Perpendicular to the Radius

Nature of the Roots: Illustration 1

Proper and Improper Rational Functions

Equation of a Tangent: Illustration

Derivative at a Point

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

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

Left-hand and Right-hand Limit

Basics of Limits

Definition of the Limit

Distance Formula in 3D: Illustration

Distance Formula in 3D

Coordinates of a Point in Space

Coordinate Axes and Coordinate Planes in 3D

Rectangular Hyperbola

Standard Equation of a Hyperbola

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

Probability

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

Statistics

This chapter covers topics, such as, Introduction to Derivatives, Algebra of Derivatives, Limits of Trigonometric Functions & Limits of Exponential and Logarithmic Functions etc.

Limit and Differentiation

This chapter covers topics, such as, Distance Formula and Section Formula in 3D & Introduction to 3D Geometry etc.

Introduction to Three - dimensional Geometry

This chapter covers topics, such as, Basics of Hyperbola, Basics of Circle, Interaction between Hyperbola and a Line & Coaxial System of Circles etc.

Conic Sections

This chapter covers topics, such as, Slope of a Line, Point and a Line, Pair of Straight Lines & Transformation of Axes etc.

Straight Lines

This chapter covers topics, such as, Arithmetic Progression, Relation between A.M., Harmonic Progression & Harmonic Mean etc.

Sequences and Series

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

Binomial Theorem

This chapter covers topics, such as, Permutation, Fundamental Principle of Counting, Combination, Geometrical Application of Permutation and Combination, Circular Permutation & Factors and Divisors etc.

Permutations and Combinations

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, Algebra of Complex Numbers, Basics of Complex Numbers, Geometry of Complex Numbers & Triangle Inequality etc.

Complex Numbers and Quadratic Equations

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

Principle of Mathematical Induction

This chapter covers topics, such as, Trigonometric Functions and Properties, Trigonometric Equations, Half-Angle Formula and the Area of a Triangle & Circum-radius of a Triangle etc.

Trigonometric Functions

This chapter covers topics, such as, Relations, Cartesian Products of Sets, Basics of Functions, Domain and Range of Functions, Algebra of Real Valued Functions, Types of Functions, Even and Odd Functions & Periodic Functions etc.

Relations and Functions

This chapter covers topics, such as, Types of Sets, Subsets, Cardinality of Finite Sets, Sets and their Representations & Operations on Sets and Venn Diagrams etc.

Sets

This chapter covers topics, such as, Statements, Connectives and Compound Statements, Negation of a Statement, Quantifiers, Validity of Statements & Conditional Statements etc.

Mathematical Reasoning

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