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Curriculum

Methods of Applied Mathematics (Code 09050505).

S.No. Content of the topics Learning         Objectives Teaching         Guidelines Methodology Time                         (Hours)
1 1.Solution of 3D Laplace Student will be able to study  3D laplace and transformation Lecture should be effective so that student will be able to grasp the topics easily Assignments/ Seminars/     Class Tests/ Presentations 10
2.Wave and heat equations in spherical polar co-ordinates by the method of separation of variables
3.Fourier series solution of the wave equation
4.Transformation of boundary value problems
2 1.Fourier series solution of the heat equation Student will be able to study  Fourier series solution Lecture should be effective so that student will be able to grasp the topics easily Assignments/ Seminars/     Class Tests/ Presentations 15
2.Steady-state temperature in plates
3.The heat and wave equations in unbounded domains
4.Fourier transform solution of BVPs
5.The heat equation in an infinite cylinder and in a solid sphere
3 1.Hankel transform of elementary functions Student will be able to understand the Hankel operators Lecture should be effective so that student will be able to grasp the topics easily Assignments/ Seminars/     Class Tests/ Presentations 15
2.Operational properties of the Hankel transform
3.Applications of Hankel transforms to PDE
4.Definitions and basic properties of finite Fourier sine and cosine transforms
5.Its application to the solutions of BVP’s and IVP’s
4 1.Moments and products of inertia Student will be able to understand the study of momentum Lecture should be effective so that student will be able to grasp the topics easily Assignments/ Seminars/     Class Tests/ Presentations 12
2.Angular momentum of a rigid body
3.Principal axes and principal moment of inertia of a rigid body
4.Kinetic energy of a rigid body rotating about a fixed point
5.Momental ellipsoid and equimomental systems
6.Coplanar mass distributions
7.General motion of a rigid body

 

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