mathematics

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

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

Differential Calculus

Integral Calculus contains chapter Integration

Integral Calculus

Statistics and Probability contains chapter Statistics

Statistics and Probability

Trigonometry contains chapter Trigonometry and its Applications

Trigonometry

Arithmetic covers chapters such as Computing, Real Numbers, Modular Arithmetic and, Banking and Taxation

Arithmetic

Algebra covers chapters such as Permutations and Combinations, Quadratic Equations, Binomial Theorem, Sequence and Series, Partial Fractions, Linear Programming, Mathematical Reasoning, Mathematical Induction and, Matrices and Determinants

Algebra

Geometry covers chapters such as Circles, Constructions and, Surface Areas and Volumes

Geometry

THINK ABOVE AND BEYOND  MATHEMATICS PRACTICE BOOKS

IMO Olympiad Work Book 10

MATHEMATICS CLASS X

MATHEMATICS Textbook for Class X

Validating Statements Using Direct Method

Solving System of Linear Equations using Matrices

Counter Example Method for Validity of a Statement

Calculating GST, VAT and Sales Taxes

Implications of Conditional Statements

Biconditional Statements and Their Negations

Euclid's Division Lemma

Linear Programming: Manufacturing Problem

Variance and Standard Deviation for Ungrouped Distribution

Derivative of Functions in Parametric Form

Derivatives of Exponential and Logarithmic Functions

Discrete Frequency Stats: Mean, Variance, SD

Linear Programming: Diet Problem

Linear Programming Problem: Graphical Method

Formulation of a Linear Programming Problem

Minor and Cofactor of Elements of a Determinant

Properties of Determinants (Part 3)

Properties of Determinants (Part 2)

Properties of Determinants (Part 1)

n- Geometric Means Between Two Numbers

Mathematical Induction: Illustration

Illustration on Properties of Determinant

Properties of Determinant (Part 4)

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

Inverse Function: Theorem

Inverse Function

One-one and Onto of Composition of Functions

Composite Functions: Illustration

Composition of Functions: Theorem

Composition of Functions

Types of Functions

Finding N Arithmetic Means Between Two Numbers

Arithmetic Mean

Modulus Function

Graphs of Linear Real-Valued Functions

Real-Valued Functions

Range of a Function: Illustration

Concept of a Function

Volume of Frustum of a Cone

Tangents From an Exterior Point: Illustration

Tangent as Perpendicular to Radius: Illustration

HCF by Division Method

HCF and LCM

Finding HCF Using Prime Factorisation Method

Standard Form of Indefinite Integral - 3

Standard Form of Indefinite Integral - 2

Standard Form of Indefinite Integral

Integration by Parts: Illustration

Integration by Parts

Method of Partial Fractions

Integration of Trigonometric Form

Integrals of Different Forms

Integrals With Trigonometric Substitutions

Standard Indefinite Integrals

Indefinite Integrals: Illustration

Properties of Indefinite Integrals

Concept of Integration

Derivative of Composite Functions - Chain Rule

Adjoint of a Matrix

Sarrus Method for Expansion of Determinant

Expansion of Determinant (Order 2 and 3)

Principal Value of ITF: Illustration 1

Disjunction 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: Proof

Some Standard Derivatives

Physical Interpretation of Derivative

First Principle of Differentiation

Definition of Derivative

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

Sum of First n Natural Numbers

Sigma Notation For Sum of a Constant Upto n Times

Arithmetic Mean & Geometric Mean: Illustration

Introduction to Geometric Mean

Sum of n Terms of a GP When nᵗʰ Term is Given

Sum of First n Terms of a G.P.

Sum of First n Terms of a Geometric Progression

Geometric Progression

Arithmetic Progression

Introduction to Bounded Sequence

Finding nth Term When Sum of n Terms Is Given!

Definition of Series, Sum & nᵗʰ Term

Finding Terms of a Sequence

Definition of Sequence

Binomial Expansion: Illustration

This chapter covers topics such as Conditional Statements, Validity of a Statement, Logical Connectives, Quantifiers and Negations, Applications of Statements, Algebra of Statements and Basics of Statements.

Mathematical Reasoning

This chapter covers topics such as Basics of Functions, Composite Functions, Basics of Inverse Trigonometric Functions, Inverse Functions, Types of Functions, Even and Odd Functions, and Periodic Functions.

Functions

This chapter covers topics such as Recurring Deposit Accounts, Income Tax, Goods and Services Tax, and Instalments and its Applications.

Banking and Taxation

This chapter covers the topic of Decomposition of Partial Fractions.

Partial Fractions

This chapter covers topics such as Fundamental Principle of Counting, Combinations and Permutations.

Permutations and Combinations

The chapter covers topics such as Chance and Probability, Probability: An Experimental Approach and Probability: A Theoretical Approach etc.

Probability

This chapter covers the topic of Variance and Standard Deviation.

Statistics

This chapter covers topics such as System of Linear Equations, Determinant of a Square Matrix, Properties of Determinants, and Adjoint and Inverse of a Matrix.

Matrices and Determinants

This chapter covers topics such as Basics of Limits and Methods of Evaluation of Limits.

Limits

This chapter covers topics such as Division of a Line Segment, Construction of Tangents to a Circle and Construction of a Triangle.

Constructions

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

Mathematical Induction

This chapter covers topics such as Linear Congruence, Modular Addition and Multiplication and Basics of Modular Arithmetic.

Modular Arithmetic

This chapter covers topics such as Arithmetic Progression, Basics of Sequence and Series, Geometric Progression, Miscellaneous Series, A.M., G.M., H.M. and Their Relations, and Harmonic Progression.

Sequence and Series

This chapter covers topics such as Quadratic Inequalities and Algebraic Equations of Higher Degree.

Quadratic Equations

This chapter covers topics such as Frustum of a Cone, Surface Area of a Combination of Solids, Volume of a Combination of Solids, Conversion of Solid from One Shape to Another and Frustum of a Pyramid.

Surface Areas and Volumes

This chapter covers topics such as Terminology and Formulation of Linear Programming Problems and Solution of Linear Programming Problems.

Linear Programming

This chapter covers topics such as Integration of Rational Functions, Basics of Indefinite Integral, Methods of Integration and Integration of Irrational Functions.

Integration

This chapter covers topics such as Basics of Differentiation and Methods of Differentiation.

Differentiation

This chapter covers topics such as General Term and Middle Term in a Binomial Expansion and Binomial Theorem for Positive Integral Index.

Binomial Theorem

The chapter covers topics such as Similarity of Triangles, Criteria for Similarity of Triangles, Areas of Similar Triangles and Pythagoras Theorem etc.

Triangles

The chapter covers topics such as Trigonometric Ratios, Trigonometric Ratios of Some Specific Angles, Trigonometric Ratios of Complementary Angles and Trigonometric Identities etc.

Introduction to Trigonometry

This chapter covers topics such as Number of Tangents from a Point on a Circle, Interaction between Line and Circle, Common Tangents, Tangent to a Circle, and Alternate Segment and its Angles.

Circles

The chapter covers topics such as Section Formula, Area of a Triangle, Distance between Two Points and Special Points in a Triangle etc.

Coordinate Geometry

This chapter covers topics such as Constants and Variables, and Statements.

Computing

This chapter covers topics such as HCF AND LCM, Irrational Numbers, The Fundamental Theorem of Arithmetic and Euclid's Division Lemma.

Real Numbers

The chapter covers topics such as Trigonometric Ratios of Allied Angles, Graphs of Trigonometric Functions, Trigonometric Tables and Heights and Distances etc.

Application of Trigonometry

The chapter covers topics such as Solution of a Linear Equation, Graphical Method of Solution of a Pair of Linear Equations, Nature of Solutions of a Pair of Linear Equations and Equations Reducible to a Pair of Linear Equations in Two Variables etc.

Pair of Linear Equation in Two Variables

The chapter covers topics such as Area of Sectors and Segments of a Circle and Understanding Area of Plane Figures etc.

Area Related to circles

The chapter covers topics such as Zeros of a Polynomial, Remainder Theorem, Factorisation of Polynomials and Square Roots of Algebraic Expressions etc.

Polynomials

The chapter covers topics such as Sum of First n Terms of an AP, Introduction to Arithmetic Progressions and Number Patterns etc.

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