Mathematics

Trigonometry covers chapters such as Angle and its Measurement, Trigonometry - II and, Trigonometry - I

Trigonometry

Coordinate Geometry covers chapters such as Circle, Straight Line and, Conic sections

Coordinate Geometry

Mathematical Reasoning and Statistics contains chapter Measures of Dispersion

Mathematical Reasoning and Statistics

Algebra covers chapters such as Probability, Permutation and Combinations, Complex Numbers, Sequences and Series, Determinants and Matrices, Sets and Relations and, Method of Induction and Binomial Theorem

Algebra

Differential Calculus covers chapters such as Functions, Differentiation, Limits and, Continuity

Differential Calculus

Mathematics and Statistics (Arts & Science) Part 1

Mathematics and Statistics (Arts & Science) Part 2

Golden MATHEMATICS CLASS 11

Mathematics Textbook for Class 11

Tangent to Standard Parabola in Slope Form

Tangent to the Ellipse at a Given Point

Condition of Tangency of Line to a Hyperbola

Tangent to a Standard Parabola at a Given Point

Family of Straight Lines: Example

Variance and Standard Deviation for Ungrouped Distribution

Derivatives of Exponential and Logarithmic Functions

Mean Deviation About Mean and Median for Ungrouped Data

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

Mean Deviation of Grouped Data

Value of Determinant (Cofactor Expansion)

Properties of Determinants (Part 3)

Properties of Determinants (Part 2)

Properties of Determinants (Part 1)

Mathematical Induction: Illustration

Illustration on Properties of Determinant

Properties of Determinant (Part 4)

Special Types of Matrices

Inverse Function: Theorem

Inverse Function

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

Roots of Quadratic Equation: Illustration

Convert Degree Into Radian & Radian Into Degree

Relation Between Radian and Degree

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

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

Cardinality and Types of Sets

Notations for a Set

Tangents From an Exterior Point: Illustration

Trigonometric Identities

Nature of the Roots: Illustration 1

Concept of Symmetry and Reflection

Introduction to a Circle

Bayes' Theorem

Illustration on Conditional Probability

Problem on Conditional Probability

Continuity Theorem

Continuity Over an Interval

Sarrus Method for Expansion of Determinant

Expansion of Determinant (Order 2 and 3)

Multiplication of a Matrix by a Scalar

Properties of Matrix Addition

Addition of Matrices

Illustration on Equality of Matrices

Definition of Equality of Matrices

Types of Matrices

Matrices

Addition Theorem

Mutually Exclusive Events

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

In this chapter, we will learn about differentiation and its rules. It highlights the definition of derivative and differentiability. Further, it discusses the relations between continuity and differentiability.

Differentiation

This chapter explains continuity. It discusses the continuity of a function at a point, and continuity from the right and the left. It further highlights the properties of continuous functions and types of discontinuities.

Continuity

This chapter discusses the concept of limits. It explains the methods of factorization and rationalization. We will also understand the limits of exponential, logarithmic functions, and limit at infinity.

Limits

In this chapter, we will learn about functions. It explains the basic functions, their types, representation and graph. Further, it explains inverse functions and piece-wise defined functions.

Functions

This chapter discusses the representation of a set, types of a set, number of elements in a set, and operations on sets. It also briefs on the ordered pair, the Cartesian product of sets, identity relation, and types of relations.

Sets and Relations

In this chapter, we will study various methods of induction and binomial theorem. It explains the binomial theorem for positive and negative integral index with their general term. Further, it discusses the binomial coefficients.

Method of Induction and Binomial Theorem

This chapter covers fundamental principles of counting, the concepts of permutations and combinations, and the properties of permutations and combinations. It also talks about circular permutations.

Permutation and Combinations

This chapter talks about sequences and series. It explains arithmetic, geometric, and harmonic progression with their means. It also describes how to find the sum of infinite terms of geometric progressions and arithmetico-geometric progressions.

Sequences and Series

This chapter deals with the concept of complex numbers and their mathematical operations on them. We will understand the geometrical representation, polar and exponential form of complex numbers. It also discusses the De Moivres Theorem.

Complex Numbers

This chapter deals with the concept of probability. Different topics such as conditional probability, Bayes&#39; theorem, multiplication theorem, etc., are also discussed here.

Probability

This chapter helps us understand the concept of measures of dispersion that help to interpret the variability of data. It also covers both the types of dispersion, namely, absolute and relative, to make the concept more clear.

This chapter deals with the definitions of circle, parabola, ellipse, and hyperbola. Standard equations related to them and relationships among all the terms associated with ellipse are also discussed here.

Conic sections

In this chapter, we will learn about the circle and its components. It explores the properties of a chord and congruent chords. It also explains the method to construct the incircle and the circumcircle of a triangle.

Circle

This chapter is based on the straight line, which is the simplest geometric figure. It explains the various properties of the straight line, such as the inclination of a line, the slope of a line, equations of a line in standard form, etc.

Straight Line

In this chapter, we will discuss determinants and matrices, their various types and properties. Concepts such as properties and applications of determinants and various operations related to matrices are explained for better understanding.

Determinants and Matrices

This chapter introduces us to trigonometric functions of compound angles. It also covers trigonometric functions of sum and difference, allied angles, multiple angles and half angles through theorems and examples.

Trigonometry - II

The chapter deals with various trigonometric functions, such as functions with the help of a standard unit circle. It also explains the interrelation between trigonometric functions and several other functions with the help of theorems and graphs.

Trigonometry - I

In this chapter, the children are introduced to the concept of angles, such as directed angle, zero angle, straight angle, co-terminal angle, standard angle, and quadrant angle. It also explains their systems of measurement.

Angle and its Measurement

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