Algebra

This chapter covers topics such as Intervals, Subsets, Venn Diagram Operations on Sets, Cardinal Number and Types of Sets.

This chapter covers topics such as Types of Functions, Graphs of Functions, Algebraic Operations on Functions, Classification of Functions, Real Valued and Piece Functions & Domain, Codomain and Range of a Relation.

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 discuss the algebra of two complex numbers. It explores square roots of a negative real number and identities of complex numbers. Argand plane and polar representation are also explained.

This chapter deals with the concept of quadratic equations. We will learn about zero product rule and steps for solving the equations. It also explains how to solve word problems based on quadratic equations.

This chapter covers topics like inequalities involving absolute values, linear inequalities in two variables, system of inequalities, inequalities involving quadratic and rational expressions, etc.

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.

This chapter explains the concept of probability. It discusses the terms related to probability such as sample space, event, random experiment, etc., and problems based on them.

This chapter covers topics such as Basic Logical Connectives, Implications and Truth Values of the Statement, Converse, Inverse and Contrapositive, Validating Statements, Truth Table for Conditional and Negation of Compound Statements.