#### 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 |