| 1 | Chapter 1: Relations and Functions | Introduction, Types of Relations, Types of Functions, Composition of Functions and Invertible Function. |
| 2 | Chapter 2: Inverse Trigonometric Functions | Introduction, Basic Concepts, Properties of Inverse Trigonometric Functions. |
| 3 | Chapter 3: Matrices | Introduction, Matrix, Types of Matrices, Operations on Matrices, Transpose of a Matrix, Symmetric and Skew Symmetric Matrices, Invertible Matrices. |
| 4 | Chapter 4: Determinants | Introduction, Determinant, Area of a Triangle, Minors and Cofactors, Adjoint and Inverse of a Matrix, Applications of Determinants and Matrices. |
| 5 | Chapter 5: Continuity and Differentiability | Introduction, Continuity, Differentiability, Exponential and Logarithmic Functions, Logarithmic Differentiation, Derivatives of Functions in Parametric Forms, Second Order Derivative. |
| 6 | Chapter 6: Application of Derivatives | Introduction, Rate of Change of Quantities, Increasing and Decreasing Functions, Maxima and Minima. |
| 7 | Chapter 7: Integrals | Introduction, Integration as an Inverse Process of Differentiation, Methods of Integration, Integrals of Some Particular Functions, Integration by Partial Fractions, Integration by Parts, Definite Integral, Fundamental Theorem of Calculus, Evaluation of Definite Integrals by Substitution, Some Properties of Definite Integrals. |
| 8 | Chapter 8: Application of Integrals | Introduction, Area under Simple Curves. |
| 9 | Chapter 9: Differential Equations | Introduction, Basic Concepts, General and Particular Solutions of a Differential Equation, Methods of Solving First Order, First Degree Differential Equations. |
| 10 | Chapter 10: Vector Algebra | Introduction, Some Basic Concepts, Types of Vectors, Addition of Vectors, Multiplication of a Vector by a Scalar, Product of Two Vectors. |
| 11 | Chapter 11: Three-Dimensional Geometry | Introduction, Direction Cosines and Direction Ratios of a Line, Equation of a Line in Space, Angle between Two Lines, Shortest Distance between Two Lines. |
| 12 | Chapter 12: Linear Programming | Introduction, Linear Programming Problem and its Mathematical Formulation. |
| 13 | Chapter 13: Probability | Introduction, Conditional Probability, Multiplication Rule of Probability, Independent Events, Bayes’ Theorem. |
