WEBVTT
1
00:00:05.920 --> 00:00:13.870
Hello friend, I am Alaka working as professor in the department of mathematics of Jadavpur University.
3
00:00:13.870 --> 00:00:17.980
I welcome you to MOOC in mathematics.
4
00:00:17.980 --> 00:00:24.050
In this program I am going to teach you the paper Partial Differential Equation.
5
00:00:24.050 --> 00:00:31.859
The study of partial differential equation is important because it has applications in
6
00:00:31.859 --> 00:00:33.781
engineering and science field.
7
00:00:33.781 --> 00:00:42.680
The partial differential equation is used to manifest different phenomena which are
8
00:00:42.680 --> 00:00:44.630
seen in our daily life.
9
00:00:44.630 --> 00:00:52.960
The examples of such phenomena are propagation of waves, dissipations of heat and other phenomenas
10
00:00:52.960 --> 00:00:59.830
which are observed in hydro dynamics, electro static and electrodynamics etcetera.
11
00:00:59.830 --> 00:01:07.790
Now, I am going to the point, who are eligible or who can join this course.
12
00:01:07.790 --> 00:01:14.789
As a prerequisite we are expecting that a candidate having undergraduate degree with
13
00:01:14.789 --> 00:01:21.320
mathematics as a paper can join this course because the knowledge of ordinary differential
14
00:01:21.320 --> 00:01:27.260
equation and special functions are necessary to join this course.
15
00:01:27.260 --> 00:01:32.200
Now, let me tell about the course structure in my paper.
16
00:01:32.200 --> 00:01:42.219
The entire paper is divided into ten chapters and each chapter is divided into few modules.
17
00:01:42.219 --> 00:01:52.229
Again each module is divided into two or three parts, each is of duration ten to twelve minutes.
18
00:01:52.229 --> 00:01:58.729
Now I shall give you a briefly the course content in this paper.
19
00:01:58.729 --> 00:02:06.469
In chapter one, I shall give a basic idea about the partial differential equation.
20
00:02:06.469 --> 00:02:14.190
In chapter two, I shall teach you first order partial differential equation, then I shall
21
00:02:14.190 --> 00:02:22.500
move in discussing a general second order partial differential equation in chapter three,
22
00:02:22.500 --> 00:02:30.549
chapter four, five and six are devoted in discussing elliptic, parabolic and hyperbolic
23
00:02:30.549 --> 00:02:37.300
partial differential equations, in chapter seven, eight, nine we shall discuss integral
24
00:02:37.300 --> 00:02:44.450
transform method, Greenâ€™s function method and Eigen function method to find solution
25
00:02:44.450 --> 00:02:46.370
of a PDE.
26
00:02:46.370 --> 00:02:53.909
Finally, in chapter ten we shall discuss with non-linear partial differential equation.
27
00:02:53.909 --> 00:03:00.799
The total duration of this course is thirty five to forty hours including participation
28
00:03:00.799 --> 00:03:08.769
in the discussion forum, working on assignments and all other activities.
29
00:03:08.769 --> 00:03:13.430
You can learn the entire course in fifteen weeks.
30
00:03:13.430 --> 00:03:19.569
Out of this fifteen weeks the eighth week and the fifteenth week are assigned revision
31
00:03:19.569 --> 00:03:21.310
and assignment work.
32
00:03:21.310 --> 00:03:28.140
Now, I am going to the question what are the learning outcomes of this course?
33
00:03:28.140 --> 00:03:36.909
In completion of this course, firstly the learner will have a basic idea partial differential
34
00:03:36.909 --> 00:03:46.469
equation, secondly they can attempt the question related to partial differential equation in
35
00:03:46.469 --> 00:03:53.590
any competitive examination like CSR, NEET, GATE, SLATE etcetera.
36
00:03:53.590 --> 00:03:58.730
I hope all of you will enjoy this course, have a good day.