Course Code | MA 205 |

Course Name | Complex Analysis |

Offered to | UG/PG |

Pre-requisites | NIL |

Lecture | 3 |

Tutorial | 1 |

Practical | 0 |

Credit | 4* |

Reference | 1. R. V. Churchill and J. W. Brown, Complex variables and applications (7th Edition), McGraw-Hill (2003). 2. J. M. Howie, Complex analysis, Springer-Verlag (2004). 3. M. J. Ablowitz and A. S. Fokas, Complex Variables- Introduction and Applications, Cambridge University Press, 1998 (Indian Edition). 4. E. Kreyszig, Advanced engineering mathematics (8th Edition), John Wiley (1999). |

Description | De?nition and properties of analytic functions. Cauchy-Riemann equations, harmonic functions. Power series and their properties. Elementary functions. Cauchy302222s theorem and its applications. Taylor series ans Laurent expansions. Residues and the Cauchy residue formula. Evaluation of improper integrals. Conformal mappings. Inversion of Laplace transforms. |