| Chapter Name | Concept name |
| Sets, Relations, and Functions | Subsets, Proper Subset, Improper Subset, Intervals |
| Union of sets, Properties of union |
| Intersection of Set, Properties of Intersection |
| Cardinal number of some sets |
| Domain, Range of Relation |
| Complex Numbers and Quadratic Equations | Iota and powers of Iota |
| Complex number |
| Conjugate of complex numbers and their properties |
| Modulus of complex number and its Properties |
| Euler form of complex number |
| Matrices and Determinants | Matrices, order of matrices, row and column matrix |
| Multiplication of two matrices |
| Properties of matrix multiplication |
| Transpose of a matrix |
| Transpose conjugate of a matrix and properties |
| Permutations And Combinations | PERMUTATION AS AN ARRANGEMENT |
| APPLICATION OF PERMUTATION-I |
| GEOMETRICAL PERMUTATIONS |
| DIFFERENT CASES OF GEOMETRICAL ARRANGEMENTS |
| RANK OF A WORD IN A DICTIONARY |
| Binomial Theorem and its Simple Applications | Binomial Theorem and Expression of Binomial Theorem |
| Properties of Binomial Theorem and Binomial Coefficient (Part 1) |
| Properties of Binomial Theorem and Binomial Coefficient (Part 2) |
| Some Standard Expansions (Part 2) |
| General Term of Binomial Expansion |
| Sequences and Series | Sequences, Series and Progression |
| Arithmetic Progression |
| Important Properties of an AP -Part 1 |
| Important Properties of an AP -Part 2 |
| Sum of n terms of an AP |
| Limit, Continuity and Differentiability | Algebra of Limits |
| Limit of Indeterminate Form and Algebraic limit |
| Limit of Algebraic function |
| Algebraic Function of type ‘infinity (∞) |
| Trigonometric Limits |
| Integral Calculus | Integration as Reverse Process of Differentiation |
| Fundamental Formulae of Indefinite Integration (Trigonometric Functions) |
| Some Special Integration |
| Application of Special Integral Formula (Part 1) |
| Integration by Parts |
| Differential Equations | Differential Equation |
| Formation of Differential Equation and Solutions of a Differential Equation |
| Homogeneous Differential Equation |
| Linear Differential Equation |
| Bernoulli’s Equation |
| Co-ordinate Geometry | Coordinate Axes |
| Distance between two points |
| Section Formula |
| Centroid |
| Incentre |
| Three Dimensional Geometry | Introduction to 3D Coordinate System |
| Section Formula, Direction Cosines and Direction Ratio |
| Equations of a Line |
| Angle Between Two Intersecting Lines |
| Skew Lines |
| Shortest Distance between Two Lines |
| Vector Algebra | Types of Vectors |
| Direction Cosines and Direction Ratio |
| Component of vector and Vector Joining Two Points |
| Multiplication of a Vector by a Scalar |
| Section Formula |
| Statistics and Probability | Mean |
| Median |
| Mode |
| Dispersion (Range, Mean Deviation) |
| Dispersion (Variance and Standard Deviation) |
| Trigonometry | Trigonometric Ratio for Compound Angles (Part 1) |
| Measurement of Angle |
| Trigonometric Functions of Acute Angles |
| Trigonometric Identities |
| Trigonometric Ratio for Compound Angles (Some more Result) |
