Partial Differential Equations

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:

1. Introduction to Partial Differential equations
2. Classification of Second-Order Linear Equations
3. The Cauchy Problem and Wave Equations
4. Method of Separation of Variables
5. 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: