Partial Differential Equations

Course Type	Course Code	No. Of Credits
Foundation Elective	SUS1MA542	4

Semester and Year Offered: Winter Semester

Course Coordinator and Team: Dr Mradul Veer Singh (CC)

Email of course coordinator: mradul[at]aud[dot]ac[dot]in

Pre-requisites: MA510 (M13)

Aim: Partial Differential Equations is a subject that is widely used by academics (Mathematicians and others) as well as researchers, professionals; not only related to mathematics but also in different areas of science and technology. The course on Partial Differential Equations has been designed to introduce to formulate, classify, interpret and solve first and second order PDE’s. The students will be exposed to various applications of these topics in real world related problems such as heat conduction, vibrating string and wave equations. The course has an added attraction of the compulsory lab component where using Mathematica, one can plot the graphs of the solutions of the partial differential equations. This helps students to visualise the geometry behind the solution of a particular type of partial differential equation.

Brief description of modules/ Main modules:

Introduction to Partial Differential equations
Classification of Second-Order Linear Equations
The Cauchy Problem and Wave Equations
Method of Separation of Variables
Lab work using MATHEMATICA

Refererences:

TynMyint-U and LokenathDebnath, Linear Partial Differential Equations for Scientistsand Engineers, 4th edition, Springer, Indian reprint, 2006
Martha L Abell, James P Braselton, Differential equations with MATHEMATICA, 3rd Edition, Elsevier Academic Press, 2004.

Assessment Details with weights:

S.No	Assessment	Date/period in which Assessment will take place	Weightage
1	Class test	Second/third week of February, 2017	10%
2	Mid Semester Exam	as per AUD academic calendar	25%
3	Lab Work / assessments	Throughout the semester	20%
4	Presentation/ Viva	First/Second week of April, 2017	10%
5	End Semester Exam	As per AUD Academic Calendar	35%