**Tentative calendar for MAT334.**

Thursday, September 09 | Sections 1.1-1.2 | Introduction: Complex numbers, point representation |

Tuesday, September 14 | Sections 1.3-1.5 | Polar Form, Complex Exponentials, Power and Roots |

Thursday, September 16 | Sections 1.6, 1.7 | Planar Sets, Riemann Sphere |

Tuesday, September 21 | Sections 2.1, 2.2 | Functions of Complex variable, limits, continuity |

Thursday, September 23 | Section 2.3 | Analyticity |

Tuesday, September 28 | Sections 2.3, 2.4 | Analyticity, The Cauchy-Riemann equations |

Thursday, September 30 | Section 2.5 | Harmonic functions |

Tuesday, October 05 | Sections 2.6, 3.1 | Iterated Maps, Polynomial and Rational Functions |

Thursday, October 07 | Section 3.2 | Exponential, Trigonometric, and Hyperbolic Functions |

Tuesday, October 12 | Sections 3.3, 3.5 | Logarithmic and Inverse Trigonometric Functions, Complex Powers |

Thursday, October 14 | Review for the Midterm Test | |

Tuesday, October 19 | Midterm Test | |

Thursday, October 21 | Discussion of the Midterm | |

Tuesday, October 26 | Sections 4.1-4.2 | Contours, Contour Integrals |

Thursday, October 28 | Section 4.3 | Independence on Path |

Tuesday, November 02 | Section 4.4 | Cauchy's Integral Theorem |

Thursday, November 04 | Section 4.5 | Cauchy's Integral Formula |

Tuesday, November 09 | Sections 4.6, 4.7 | Bounds for Analytic Functions, Applications to Harmonic Functions |

Thursday, November 11 | Section 5.1 | Sequences and Series |

Tuesday, November 16 | Sections 5.2, 5.3 | Taylor and Power Series |

Thursday, November 18 | Section 5.5 | Laurent Series |

Tuesday, November 23 | Sections 5.5, 5.6 | Laurent Series, Zeroes and Singularities |

Thursday, November 25 | Section 6.1 | Residue Theorem |

Tuesday, November 30 | Sections 6.2-6.4 | Using Residue Theory to compute some definite integrals |

Thursday, December 02 | Section 6.7 | The Argument Principle and Rouche's Theorem |

Tuesday, December 07 | Review for the Final Exam |