mathematics

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

Algebra covers chapters such as Discrete Mathematics, Complex Numbers, Probability Distributions, Theory of Equations and, Application of Matrices and Determinants

Algebra

Trigonometry contains chapter Inverse Trigonometric Functions

Trigonometry

Coordinate Geometry covers chapters such as Applications of Vector Algebra and Two Dimensional Analytical Geometry-II

Coordinate Geometry

Differential Calculus covers chapters such as Applications of Differential Calculus and Differential and Partial Derivatives

Differential Calculus

Integral Calculus covers chapters such as Ordinary Differential Equations and Applications of Integration

Integral Calculus

Statistics covers chapters such as Project Work, Regression Analysis, Index Numbers, Correlation Analysis, Time Series and Forecasting, Tests Based on Sampling Distributions-II and, Tests Based on Sampling Distributions-I

Statistics

Mathematics Crash Course (Based on Revised Syllabus-2023)

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS

Statistics Standard 12

Mathematics Standard 12 Vol II

Mathematics Standard 12 Vol I

MATHEMATICS PART II Textbook for Class XII

MATHEMATICS PART I Textbook for Class XII

Volume of a Prism Using Scalar Triple Product

Solving System of Linear Equations using Matrices

Distance Between Two Parallel Lines in 3D

Distance of a Point From a Plane

Biconditional Statements and Their Negations

Formation of Differential Equations

Finding Inverse by Elementary Transformations

Elementary Operations or Transformations of a Matrix

Properties of Binary Operations

Binary Operations and Operation Tables

Minor and Cofactor of Elements of a Determinant

Properties of ITF: Illustration-3

Properties of ITF: Illustration-2

Properties of ITF: Illustration-1

Properties of Inverse Trigonometric Functions

Principal Value of ITF: Illustrations 2

The Inverse of Cot Function

Reflection of a Graph of tanx on the Line y=x

Graph of cos⁻¹ x

Graph of sin⁻¹ x

The Inverse of Sine Function

Definition and Equation of a Circle

Roots of Quadratic Equation: Illustration

Geometrical Meaning of the Zeroes of a Polynomial

Introduction to Polynomials

Illustration on Binomial Distribution

Probability Distribution: Illustration

Probability Distribution: Example

Illustration on Probability Distribution

Results Related to Mathematical Expectation

Mean, Variance and S.D. of Random Variable

Probability Distribution of a Random Variable

Random Variable and Probability Distribution

Introduction to Random Variable

Angle Between a Line and a Plane

Angle Between Two Planes: Illustration

Angle Between Two Planes

Skew Lines

Line and a Plane

Equation of Plane Making Intercepts on Axes

Equation of a Plane: Illustration

Cartesian Equation of the Plane

Plane and Its Equation

Straight Line in 3D: Illustration

Equation of a Line With Two Points

Angle Between Two Lines

Equation of a Line in Vector Form

Definition of Vector and its Magnitude

Application of Differential Equations: Illustration

Linear Differential Equation: Illustration

Homogeneous Differential Equations

Solutions of a Differential Equation: Illustration

Solutions of a Differential Equation

Order and the Degree of Differential Equations

Area Enclosed by a Curve and a Line: Illustration

Area Under Curve: Illustration

Properties of Definite Integral

Integral as Limit of a Sum - Illustration

Limit of Sum

Definite Integral as the Limit of Sum: Proof

Definite Integration as the Limit of a Sum

Increasing Functions

Rate of Change of Function: Example

Rate of Change of a Function Illustration

Approximation

Equation of a Tangent: Illustration

Slope of Tangent at a Point

Global Maxima and Minima

Second Derivative Test for Maxima and Minima

Critical Points and First Derivative Test

Example of Mean Value Theorem

Mean Value Theorem

Rolle's Theorem

Adjoint of a Matrix

Principal Value of ITF: Illustration 1

Disjunction of Two Statements

Conjunction of Two Statements

Negation of a Statement

Mathematical Statement

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

Introduction to a Parabola and Related Terms

Equation of a Circle and Position of a Point

Conic Sections

Problem on Polar Form of a Complex Number

Representation of a Complex Number

This chapter covers topics like Designing a Project and Work Plan and Questionnaire Development Process, and Feature of Project Report.

Project Work

This chapter covers topics like Official Statistics, and Vital Statistics.

Vital Statistics and Official Statistics

This chapter covers topics like Definition and Components of Time Series, Forecasting, and Measurements of Components.

Time Series and Forecasting

This chapter covers topics like Consumer Price Index Numbers, Methods of Constructing Index Numbers, Types and Uses of Index Numbers, and Weighted Index Numbers.

Index Numbers

This chapter covers topics like Method of Least Squares, Properties of Regression Coefficients and Difference Between Correlation and Regression, Types of Regression and Uses, and Why Are There Two Regression Lines?.

Regression Analysis

This chapter covers topics like Correlation and Scatter Diagram, Karl Pearson's Correlation Coefficient, Spearman's Rank Correlation Coefficient, and Yule's Coefficient of Association.

Correlation Analysis

This chapter covers the topic of F-Distributions and Its Applications in detail.

Tests Based on Sampling Distributions-II

This chapter covers topics like Chi-Square Distribution and Its Applications and Student's T-Distribution, and its Applications.

Tests Based on Sampling Distributions-I

This chapter covers topics like Introduction to Parameter and Statistic and Sampling Distribution, Null Hypothesis and Alternative Hypothesis, and Standard Error.

Tests of Significance – Basic Concepts and Large Sample Tests

This chapter covers topics like Binary Operations, and Mathematical Logic.

Discrete Mathematics

This chapter covers topics like Continuous Distributions, Mathematical Expectation, Random Variable, Theoretical Distributions: Some Special Discrete Distributions, and Types of Random Variable.

Probability Distributions

This chapter covers topics like Differential Equations and Classification, Formation of Differential Equations and Solution of Differential Equations, and Applications.

Ordinary Differential Equations

This chapter covers topics like Bernoulli's Formula and Reduction Formulas, Definite Integral as a Limit of a Sum, Evaluation of Bounded Plane Area by Integration, Fundamental Theorems of Integral Calculus and their Applications, Gamma Integral, etc.

Applications of Integration

This chapter covers topics like Functions of Several Variables, Limit and Continuity of Functions of Two Variables, Linear Approximation and Differential of a Function of Several Variables, Linear Approximations and Differentials, etc.

Differential and Partial Derivatives

This chapter covers topics like Applications of First Derivative, Applications of Second Derivative, Indeterminate Forms, Introduction to Differential Calculus, Mean Value Theorem, Series Expansions, etc.

Applications of Differential Calculus

This chapter covers topics like Different Forms of Equation of a Plane and Related Concepts, Different Forms of Equation of a Straight Line and Related Concepts, Introduction to Vectors, and Triple Product.

Applications of Vector Algebra

This chapter covers topics like Circle, and Conic Sections.

Two Dimensional Analytical Geometry-II

This chapter covers topics like Different Inverse Trigonometric Functions with Principal values and Graphs, and Properties of Inverse Trigonometric Functions.

Inverse Trigonometric Functions

This chapter covers topics like Basics of Polynomial Equations and its Formation, Descartes Rule, and Polynomial Equations with No Additional Information.

Theory of Equations

This chapter covers topics like Basic Algebraic Properties of Complex Numbers and Properties of Conjugate and Modulus, De Moivre's Theorem and its Applications, Geometry and Locus of Complex Numbers, Introduction to Complex Numbers and Polar, etc.

Complex Numbers

This chapter covers topics like Elementary Transformations of a Matrix, Inverse of a Matrix, and Solving System of Linear Equations.

Application of Matrices and Determinants

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