The Complex Numbers were invented for purely mathematical reasons, just like the Reals, and were intended to make things neat and tidy in solving equations.It turns out that they are very cool things to have for 'measuring' such things as periodic waveforms. Also, the functions which arise between them are very useful for talking about solutions of some Partial Differential Equations. In this course, you will begin by practicing the basic concepts of Complex Analysis including some preliminaries such as Complex numbers system, Complex numbers in Polar coordinate and operations with Complex numbers. Also this course will cover some topics such as Complex functions and their graphs, analytic functions and elementary functions. Then you will move onto more advanced topics such as Complex Integrals and series. It is required for student to attend 2 theoretical lecture in a week and also attend the discussion session to discuss the questions and solve previously submitted coursework. Furthermore, self study and solving coursework and extra question from the textbooks is always required at home to fully understand the lecture. | Course details
Entry level skillsThe student must be able to read various provided sources in English and write short essays and participate in class discussions. The student must be able to solve real integrals using various techniques of integration and general knowledge of Real Analysis. In addition he/she should have knowledge of transformation between cartesian and polar coordinate, Sequences and Series. |