*Instructor* —
Roi Docampo Álvarez
(docampo@math.utah.edu)

*Meeting* —
MWF 11:50-12:40, JTB 120.

*Office Hours* —
MW 10:40-11:40 or by appointment, LCB 116.

*Textbook* —
"Basic Complex Analysis", by J. E. Marsden and
M. J. Hoffman, W. H. Freeman, Third Edition.

*Course Description* —
We will cover chapters 1 to 6 of the textbook. Main topics: complex
functions and their differentiability, complex integrals, power
series, the Cauchy theorem and formulas, residues and applications to
evaluating integrals, conformal mappings and applications.

*Grading* —
There will be weekly homework assignments, two in-class midterms, and
a comprehensive final exam. The homework will count for 30% of the
grade, each of the midterms for 20%, and the final exam for 30%.

*Midterms and Final* —
Exams take place in JTB 120.

First midterm | Oct. 8, 11:50am to 12:40pm |

Second midterm | Dec. 1, 11:50am to 12:40pm |

Final | Dec. 13, 10:30am to 12:30pm |

*Homework Assignments* —
Weekly assignments and their due dates will be posted on the website.
Homework must be turned in at the beginning of class. Late homework is
not accepted.

Due Date | Assignment | |||||

Sept. 1 | Section 1.1: | 4, | 6, | 10, | 16, | 18 |

Section 1.2: | 2, | 8, | 10, | 18, | 28 | |

Section 1.3: | 2, | 4, | 24, | 28, | 30 | |

Sept. 8 | Section 1.3: | 6, | 8, | 12, | 18, | 22 |

Sept. 15 | Section 1.4: | 4, | 12, | 14, | 16, | 18 |

Section 1.5: | 2, | 8, | 10, | 13, | 14 | |

15, | 17, | 24, | 28, | 30 | ||

Sept. 22 | Section 1.6: | 2, | 4, | 8, | 14, | |

Section 1.R: | 2, | 8, | 13, | 17, | ||

Section 2.1: | 2, | 5, | 8, | 10, | 13 | |

Oct. 1 | Section 2.2: | 1, | 2, | 6, | 8, | 10 |

Section 2.3: | 2, | 7, | 8, | 9, | 10 | |

Oct. 18 | Section 2.4: | 2, | 3, | 4, | 6, | 13 |

14, | 16, | 17, | 19, | 20 | ||

Oct. 27 | Section 2.5: | 2, | 6, | 10, | 16, | 18 |

Nov. 10 | Section 3.1: | 4, | 7, | 8, | 12, | 14 |

Nov. 12 | Section 3.2: | 2, | 6, | 16, | 18, | 25 |

Section 3.3: | 1, | 4, | 9, | 16, | 19 | |

Nov. 19 | Section 4.1: | 2, | 8, | 9, | 13, | |

Nov. 29 | Section 4.2: | 3, | 4, | 8, | 9, | 10 |

Section 4.3: | 1, | 2, | 5, | 9, | 10 | |

16, | 17, | 20, | 23, | 24 | ||

— | Section 5.2: | 2, | 4, | 6, | 8, | 11 |

12, | 20, | 22, |

*Downloads* —
Here are some files that you might find useful.

Solution for problem §1.2 #28: sec1.2-num28.pdf.

Study guide for midterm 1: studyguide1.pdf.

Study guide for midterm 2: studyguide2.pdf.