CBCGS [2017 - current]

CBGS [2013 - 2016]

Old [2000 - 2012]

## Units and Topics

# | Unit/Topic | Marks |
---|---|---|

100 | Fourier Series | - |

200 | Fourier Integrals and Fourier Transform | - |

300 | Partial Differential Equations | - |

400 | Vector Integration | - |

Total | - |

## Syllabus

100 Fourier Series

- Expansion of functions in any interval (a, b).
- Half range expansion; Complex form; Parseval’s identity theorem; Orthogonal and Orthonormal functions. (NO PROOFS REQUIRED)

200 Fourier Integrals and Fourier Transform

- sine & cosine Integrals, sine & cosine transforms, complex transforms. (NO PROOFS REQUIRED)

300 Partial Differential Equations

- Elliptic, Parabolic & Hyperbolic Equations; Laplace’s equation; One dimensional Heat & Wave Equation, Two Dimensional wave equation. (ONLY NUMERICAL PROBLEMS. NO PROOFS REQUIRED).

400 Vector Integration

- Green’s Theorem in the plain; Conservative & Solenoidal Fields.
- Gauss Divergence Theorem, Stoke's Theorem. (ONLY NUMERICAL PROBLEMS. NO PROOFS REQUIRED).

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