Section - A

This chapter discusses relations and functions. It explains relations on a set. It covers different types of functions, the composition of functions and invertible functions. Furthermore, it explains the concepts of binary operations.

This chapter talks about inverse trigonometric functions. We will learn to reduce a trigonometric function into a bijective function. Graphs of these are explained here. We will also understand the properties of inverse trigonometric functions.

This chapter provides knowledge of matrices. Types of matrices are described here. We will learn scalar multiple of matrix and multiplication of matrices, transpose of a matrix. It explains determinants, adjoint, and inverse and rank of a matrix.

This chapter teaches us how determinants are used for solving linear equations. The determinant is a function of the entries of a square matrix. It helps in characterizing some properties of the matrix and the linear map represented by a matrix.

This chapter tells us about real functions. It deals with graphs of trigonometric functions and continuous functions. We will also study the algebra of continuous function and relation between continuity and differentiability.

This chapter describes different types of indeterminate forms such as subtraction of ??? from ??? and multiplication of 0 and ???. It also explains the L????Hopital????s rule via solved examples.

This chapter delves deep into the applications of derivatives. Errors and approximations, geometrical interpretation of the derivative, equation of tangent, and normal to a curve are featured here. It also details increasing and decreasing functions.