Mathematics

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 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 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

Mean Deviation, Its Merits, and Demerits

Quartile Deviation

Relations

Coefficient of Variation

Measures of Dispersion

Range of a Data Set

Mean Deviation of Ungrouped Data

Variance - Properties, Merits and Demerits

Standard Deviation - Properties, Merits and Demerits

Variance and SD for Grouped Frequency Distribution

Mean Deviation of Grouped Data

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

The Intersection in Set Operations

The Union in Set Operations

Venn Diagrams

Subsets and Equal Sets

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

Sample Space

Disjunction of Two Statements

Conjunction of Two Statements

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

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

Left-hand and Right-hand Limit

Basics of Limits

Definition of the Limit

Distance Formula in 3D

Coordinates of a Point in Space

Coordinate Axes and Coordinate Planes in 3D

Rectangular Hyperbola

Standard Equation of a Hyperbola

Latus Rectum of a Hyperbola

Definition of Hyperbola and Associated Terms

Introduction to Hyperbola

Illustrations on the Standard Equation of Ellipse

Latus Rectum of an Ellipse

Terms Associated With an Ellipse

Different Terms Associated With the Ellipse

Definition and Equation of an Ellipse

Introduction to the Ellipse

Parametric Equation of a Parabola: An Illustration

Latus Rectum of a Parabola

Different Forms of a Parabola

In this chapter, we will learn about the different trigonometric functions and their signs. It also explains the relation between radian and degree along with notational convention, domain and range of trigonometric functions.

Trigonometric Functions

In this chapter, we will learn the mathematical concepts of statistics related to mean, variance and standard deviation. Analysis of frequency is also explained in detail here.

Statistics

This chapter explains the reasoning used in mathematics in terms of converting new statements from old and special word phrases. Validation of statement and implication of the sentences are also described here.

Mathematical Reasoning

This chapter deals with mathematical concepts related to limits and its derivatives. The limits of trigonometric functions and derivatives of polynomials and trigonometric functions are also explained here.

Limits and Derivatives

In this chapter, we learn about straight lines. It explains slope, angle, and collinearity of three points. The conditions for parallelism and perpendicularity of lines are also discussed here.

Straight Lines

In this chapter, we will get an introduction to three-dimensional geometry. It contains coordinate axes, coordinate planes and distance between two points. Section formula is also described here in detail.

Introduction to Three Dimensional Geometry

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 the different types of sets, subsets and their representation. It consists of operations and complement of a set along with Venn diagram and practice problems.

Sets

In this chapter, we will learn about sequences and series. The general terms of arithmetic and geometric progression is discussed. It also explains the relationship between arithmetic and geometric progression.

Sequences and Series

In this chapter, we will discuss about relations, some functions and their graphs. It also explains the algebra of real function along with the cartesian product of sets.

Relations and Functions

In this chapter, we will learn the different mathematical concepts of probability. It consists of occurrence and algebra of different types of events. We will also get to learn about the axiomatic approach to probability.

Probability

In this chapter, we will learn the mathematical concepts related to the fundamental principle of counting of permutation and combinations. Derivation of related formulas are also given here.

Permutation and Combination

In this chapter, we will discuss the principle of mathematical induction. It is used to prove statements related to integers and other mathematical concepts. The concept of motivation with illustration is also explained with exercises.

Mathematical Induction

In this chapter, we will learn about algebraic solutions of linear inequalities in one and two variables. The solution and graphical representation of linear inequalities are also explained here in detail.

Linear Inequalities

In this chapter, we will learn about the algebra of two complex numbers in terms of addition, multiplication and division. It consists of the square roots of a negative real number and the identities of complex numbers.

Complex Numbers and Quadratic Equations

In this chapter, we will learn about the binomial theorem for positive integers and for some special cases. It also deals with Pascal's triangle and general and midterm used in binomial theorems.

Binomial Theorem

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