Algebra

In this chapter, we will discuss determinants and matrices, their various types and properties. Concepts such as properties and applications of determinants and various operations related to matrices are explained for better understanding.

This chapter deals with the concept of probability. Different topics such as conditional probability, Bayes' theorem, multiplication theorem, etc., are also discussed here.

This chapter deals with the concept of complex numbers and their mathematical operations on them. We will understand the geometrical representation, polar and exponential form of complex numbers. It also discusses the De Moivres Theorem.

This chapter talks about sequences and series. It explains arithmetic, geometric, and harmonic progression with their means. It also describes how to find the sum of infinite terms of geometric progressions and arithmetico-geometric progressions.

This chapter covers fundamental principles of counting, the concepts of permutations and combinations, and the properties of permutations and combinations. It also talks about circular permutations.

In this chapter, we will study various methods of induction and binomial theorem. It explains the binomial theorem for positive and negative integral index with their general term. Further, it discusses the binomial coefficients.

This chapter discusses the representation of a set, types of a set, number of elements in a set, and operations on sets. It also briefs on the ordered pair, the Cartesian product of sets, identity relation, and types of relations.