Algebra

In this chapter, we will learn the different types of sets, subsets and their representation. It consists of operations and complement of a set along with Venn diagram and practice problems.

In this chapter, we will discuss about relations, some functions and their graphs. It also explains the algebra of real function along with the cartesian product of sets.

In this chapter, we will discuss the principle of mathematical induction. It is used to prove statements related to integers and other mathematical concepts. The concept of motivation with illustration is also explained with exercises.

In this chapter, we will learn about the algebra of two complex numbers in terms of addition, multiplication and division. It consists of the square roots of a negative real number and the identities of complex numbers.

In this chapter, we will learn about algebraic solutions of linear inequalities in one and two variables. The solution and graphical representation of linear inequalities are also explained here in detail.

In this chapter, we will learn the mathematical concepts related to the fundamental principle of counting of permutation and combinations. Derivation of related formulas are also given here.

In this chapter, we will learn about the binomial theorem for positive integers and for some special cases. It also deals with Pascal's triangle and general and midterm used in binomial theorems.

In this chapter, we will learn about sequences and series. The general terms of arithmetic and geometric progression is discussed. It also explains the relationship between arithmetic and geometric progression.

In this chapter, we will learn the different mathematical concepts of probability. It consists of occurrence and algebra of different types of events. We will also get to learn about the axiomatic approach to probability.