Algebra

This chapter provides knowledge about the principles of mathematical induction. Here, students will understand various principles of mathematical induction in detail. Solved examples and illustrations are also included for their better understanding.

The chapter discusses complex numbers and quadratic equations. Complex numbers, purely real and purely imaginary numbers are discussed here. We will also understand the conjugate, equality, product, modules, and sum and difference of complex numbers.

This chapter sheds light on linear inequations in one variable. The solution set of a linear inequation is explained here. Graphs of linear inequations in one variable and the method of drawing the graph are also illustrated here.

This chapter gives exposure to linear inequations in two variables. We will understand linear inequations and simultaneous inequations here. Graph of a linear inequation is also given here along with pictures.

This chapter explores permutations and combinations. The factorial and fundamental principles of counting are discussed here. Simple, practical problems on permutations and practical problems on combinations are also detailed.

This chapter focuses on the binomial theorem. Binomial theorem for nonnegative integers and positive integral index, deductions and some observations in binomial expansions are given. We will also understand the binomial theorem for a rational index.

This chapter talks about sequence and series. We will learn about arithmetic progression and word problems of arithmetic progressions here. Arithmetic mean, geometrical progression, and some special series are also highlighted.