Hello friend, I am Alaka working as professor in the department of mathematics of Jadavpur University.
I welcome you to MOOC in mathematics.
In this program I am going to teach you the paper Partial Differential Equation.
The study of partial differential equation is important because it has applications in
engineering and science field.
The partial differential equation is used to manifest different phenomena which are
seen in our daily life.
The examples of such phenomena are propagation of waves, dissipations of heat and other phenomenas
which are observed in hydro dynamics, electro static and electrodynamics etcetera.
Now, I am going to the point, who are eligible or who can join this course.
As a prerequisite we are expecting that a candidate having undergraduate degree with
mathematics as a paper can join this course because the knowledge of ordinary differential
equation and special functions are necessary to join this course.
Now, let me tell about the course structure in my paper.
The entire paper is divided into ten chapters and each chapter is divided into few modules.
Again each module is divided into two or three parts, each is of duration ten to twelve minutes.
Now I shall give you a briefly the course content in this paper.
In chapter one, I shall give a basic idea about the partial differential equation.
In chapter two, I shall teach you first order partial differential equation, then I shall
move in discussing a general second order partial differential equation in chapter three,
chapter four, five and six are devoted in discussing elliptic, parabolic and hyperbolic
partial differential equations, in chapter seven, eight, nine we shall discuss integral
transform method, Green’s function method and Eigen function method to find solution
of a PDE.
Finally, in chapter ten we shall discuss with non-linear partial differential equation.
The total duration of this course is thirty five to forty hours including participation
in the discussion forum, working on assignments and all other activities.
You can learn the entire course in fifteen weeks.
Out of this fifteen weeks the eighth week and the fifteenth week are assigned revision
and assignment work.
Now, I am going to the question what are the learning outcomes of this course?
In completion of this course, firstly the learner will have a basic idea partial differential
equation, secondly they can attempt the question related to partial differential equation in
any competitive examination like CSR, NEET, GATE, SLATE etcetera.
I hope all of you will enjoy this course, have a good day.