**Tentative calendar for MAT334.**

Tuesday, September 13 | Sections 1.1-1.3 | Introduction: Complex numbers, point representation, Polar Form |

Thursday, September 15 | Sections 1.4 | Complex Exponentials |

Tuesday, September 20 | Sections 1.5 - 1.7 | Power and Roots, Planar Sets, Riemann Sphere, |

Thursday, September 22 | Section 2.1 | Functions of Complex variable. |

Tuesday, September 27 | Sections 2.2 - 2.3 | Limits, continuity, analyticity |

Thursday, September 29 | Section 2.4 | The Cauchy-Riemann equations |

Tuesday, October 4 | Sections 2.5 , 2.6 | Harmonic functions , Iterated Maps |

Thursday, October 6 | Section 3.1 | Polynomial and Rational Functions |

Tuesday, October 11 | Sections 3.2, 3.3 | Exponential, Trigonometric, Hyperbolic, and Logarithmic Functions |

Thursday, October 13 | Section 3.5 | Complex Powers |

Tuesday, October 18 | Section 3.5 | Inverse trigonometric function. Review for the Midterm test |

Thursday, October 20 | Review for the Midterm Test | |

Tuesday, October 25 | Midterm Test | |

Thursday, October 27 | Sections 4.1-4.2 | Contours, Contour Integrals |

Tuesday, November 1 | Sections 4.3, 4.4 | Independence on Path, Cauchy's Integral Theorem |

Thursday, November 3 | Section 4.5 | Cauchy's Integral Formula |

Tuesday, November 8 | Sections 4.6, 4.7 | Bounds for Analytic Functions, Applications to Harmonic Functions |

Thursday, November 10 | Section 5.1 | Sequences and Series |

Tuesday, November 15 | Sections 5.2, 5.3 | Taylor and Power Series |

Thursday, November 17 | Section 5.5 | Laurent Series |

Tuesday, November 22 | Sections 5.5, 5.6 | Laurent Series, Zeroes and Singularities |

Thursday, November 24 | Section 6.1 | Residue Theorem |

Tuesday, November 29 | Sections 6.2-6.4 | Using Residue Theory to compute some definite integrals |

Thursday, December 1 | Section 6.6 | Using Residue Theory to compute some definite integrals (continuation) |

Tuesday, December 6 | Section 6.7 | Review for the Final Exam |

Thursday, December 8 | Review for the Final Exam |