Introduction – Types of Relations – Types of Functions – Composition of Functions and Invertible Function.

Introduction – Basic Concepts – Properties of Inverse Trigonometric Functions.

Introduction – Matrix – Types of Matrices – Operations on Matrices – Transpose of a Matrix – Symmetric and Skew Symmetric Matrices – Invertible Matrices.

Introduction – Determinant – Area of a Triangle – Minors and Cofactors – Adjoint and Inverse of a Matrix – Applications of Determinants and Matrices.

Introduction – Continuity – Differentiability – Exponential and Logarithmic Functions – Logarithmic Differentiation – Derivatives of Functions in Parametric Forms – Second Order Derivative.

Introduction – Rate of Change of Quantities – Increasing and Decreasing Functions – Maxima and Minima.

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.

Introduction – Area under Simple Curves.

Introduction – Basic Concepts – General and Particular Solutions of a Differential Equation – Methods of Solving First Order, First Degree Differential Equations.

Introduction – Some Basic Concepts – Types of Vectors – Addition of Vectors – Multiplication of a Vector by a Scalar – Product of Two Vectors.

Introduction – Direction Cosines and Direction Ratios of a Line – Equation of a Line in Space – Angle between Two Lines – Shortest Distance between Two Lines.

Introduction – Linear Programming Problem and its Mathematical Formulation.

Introduction – Conditional Probability – Multiplication Theorem on Probability – Independent Events – Bayes’ Theorem.