This course will set up your base and fundamentals so that it will be helpful for you in order to fully understand advanced concepts, problems and applications if you pursue this course in future for higher studies. This course is a pre-requisite for many advanced topics such as complex analysis which will cover complex calculus , complex integration and differentiation , bilinear transformations, power series etc. Complex Number is usually a separate chapter. It appears to be a different concept requiring a new skillset to handle its concepts. But the fact is that Complex Number touches upon Algebra, Geometry, Trigonometry & Coordinate Geometry simultaneously. Doing this chapter will give you an integrated view of all these concepts together. Usually in the standard text books, the algebraic aspects of complex number is considered in detail. But if you thought Complex number is all about algebra, this course will open your eyes. It will show you how Algebra and Geometry are intertwined inside Complex number operations like addition, subtraction, multiplication and division. In this course we touch upon the Geometric aspects of Complex numbers more and take you deep into the subject. Starting easy, we go deeper and deeper and show you how to solve tough questions based on geometry . We encourage you to take the course and find what you were missing. There is geometric ramifications for each of the Complex numbers operations and once you cotton on to them and can use them back and forth, many difficult sounding problems of geometry can be solved by complex number easily.

I welcome you to this course not only to brush up on the concepts of Complex Numbers but to be able to go deeply and easily into the geometric aspects of Complex Numbers.