Algebra

This chapter deals with complex numbers. Here, students will understand complex numbers as an ordered pair of real numbers and fundamental operations. They will also learn about modulus and amplitude of complex numbers, along with Argand diagrams.

This chapter emphasises De Moivre's theorem. We will study De Moivre's theorem for integral and rational indices here. We will also study how to compute nth roots of unity and their geometrical interpretations through illustrations.

This chapter elaborates on quadratic expressions and equations in one variable. It also discusses the sign of quadratic expressions, change in signs, and maximum and minimum values along with quadratic inequations.

This chapter elaborates the theory of equations. The relation between the roots and the coefficient in an equation is discussed here. It also talks about solving an equation when two or more of its roots are connected by certain relations.

This chapter focuses on permutations and combinations. It elucidates the fundamental principle of counting - linear and circular permutations. Combinations - definitions and certain theorems are also covered here.

From this chapter, the students will learn about binomial theorem. Here, they will study about this theorem for positive integral index and rational index. Also, they will be introduced to trinomial expansion here.

This chapter delves deep into partial fractions. We will study partial fractions containing non-repeated linear factors, repeated linear factors, and irreducible factors. We will also explore the rules of partial functions here.