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Hello friend, I am Alaka working as professor in the department of mathematics of Jadavpur University.

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I welcome you to MOOC in mathematics.

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In this program I am going to teach you the paper Partial Differential Equation.

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The study of partial differential equation is important because it has applications in

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engineering and science field.

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The partial differential equation is used to manifest different phenomena which are

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seen in our daily life.

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The examples of such phenomena are propagation of waves, dissipations of heat and other phenomenas

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which are observed in hydro dynamics, electro static and electrodynamics etcetera.

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Now, I am going to the point, who are eligible or who can join this course.

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As a prerequisite we are expecting that a candidate having undergraduate degree with

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mathematics as a paper can join this course because the knowledge of ordinary differential

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equation and special functions are necessary to join this course.

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Now, let me tell about the course structure in my paper.

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The entire paper is divided into ten chapters and each chapter is divided into few modules.

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Again each module is divided into two or three parts, each is of duration ten to twelve minutes.

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Now I shall give you a briefly the course content in this paper.

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In chapter one, I shall give a basic idea about the partial differential equation.

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In chapter two, I shall teach you first order partial differential equation, then I shall

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move in discussing a general second order partial differential equation in chapter three,

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chapter four, five and six are devoted in discussing elliptic, parabolic and hyperbolic

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partial differential equations, in chapter seven, eight, nine we shall discuss integral

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transform method, Green’s function method and Eigen function method to find solution

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of a PDE.

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Finally, in chapter ten we shall discuss with non-linear partial differential equation.

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The total duration of this course is thirty five to forty hours including participation

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in the discussion forum, working on assignments and all other activities.

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You can learn the entire course in fifteen weeks.

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Out of this fifteen weeks the eighth week and the fifteenth week are assigned revision

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and assignment work.

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Now, I am going to the question what are the learning outcomes of this course?

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In completion of this course, firstly the learner will have a basic idea partial differential

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equation, secondly they can attempt the question related to partial differential equation in

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any competitive examination like CSR, NEET, GATE, SLATE etcetera.

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I hope all of you will enjoy this course, have a good day.