| 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 |
