- Dr. Jonas Hartwig
- Homepage: jthartwig.net
- Email: jth@iastate.edu
- Office: Carver Hall 470
- Office Hours: MT 4:10pm – 6:00pm

- Lectures: TR 12:40pm – 1:55pm Carver 298

- Stephen D. Fisher, Complex Variables (2nd edition) You are required to obtain a copy of this book. All homework and reading assignments will be from this book. The university bookstore in Memorial Union has it for $15.
- David Bau's Complex Function Grapher Rule: Paint \(z\) in the color \(f(z)\). To see the palette, choose the function \(f(z)=z\).
- MÃ¶bius Transformations Revealed

- Late homework is not accepted.
- All homework problems are from the book.
- Odd numbered exercises have answers in the back, so you must show your work to get credit.
- Write neatly and use a stapler if you hand in multiple pages.
- There will be 8 – 10 problems per week.
- Each problem is graded on a scale from 0 to 5.

Due Date | Assigned Homework |
---|---|

Thu 1/27 | Read: Sections 1.1 and 1.2. Hand in: Exercises 1.1: 1(a,b,c,g), 3(a,b,c,g), 5(a,b,c,i) and 1.2: 3, 7, 15, 23, 25 |

Thu 2/3 | Read: Sections 1.3 and 1.4. Hand in: Exercises 1.3: 1, 5, 7, 10, 15 and 1.4: 1, 2, 5, 16, 23 |

Thu 2/10 | Read: Sections 1.4 and 1.5. Hand in: Exercises 1.4: 31, 35, 36, 37, 40 and 1.5: 5, 11, 13, 15, 18 |

Tue 2/15 | Read: Chapter 1. Work on: Sample Problems 1 |

Thu 2/17 | Read: Section 1.6. Hand in: Exercises 1.6: 1, 4, 6, 9, 12 |

Thu 2/24 | (No homework this week) |

Thu 3/2 | Read: Sections 2.1 and 2.2. Hand in: Exercises 2.1: 1(abe), 10, 14, 20(bc), 23 and 2.2: 2, 3, 4, 5, 15 |

Thu 3/10 | Read: Sections 2.2 and 2.3. Hand in: Exercises 2.2: 9, 10, 13, 18, 19 and 2.3: 1, 3, 4, 5, 7 |

Thu 3/24 | Read: Section 2.4. Hand in: Exercises 2.4: 1, 2, 3, 6, 9, 10, 11, 13 |

Thu 3/31 | Read: Section 2.5. Hand in: Exercises 2.5: 1, 2, 3, 5, 6, 7, 9, 12, 13, 15 |

Tue 4/5 | Read: Chapter 2. Work on: Sample Problems 2 |

Thu 4/7 | Read: Section 2.6. Hand in: Exercises 2.6: 1, 2, 3, 4, 5, 6, 9, 10 |

Thu 4/14 | (No homework this week) |

Thu 4/21 | Read: Sections 3.1, 3.3. Hand in: Exercises 3.1: 12, 13, 18, 21; 3.3 2, 3, 4(abc), 5a, 7a |

Thu 4/28 | Read: Sections 3.5, 4.2. Hand in: Exercises 3.5: 1, 2, 3, 4, 5, 7; 4.2 13, 14 |

Thu 5/5 | Work on: Practice Problems Optional: hand in solutions for up to 50 HW bonus points |

- Takes place during the lecture on Thursday, February 17.
- Closed-book exam, no calculators, no formula sheet.
- 50 minute exam, 5 problems, lowest score dropped.
- This midterm covers Chapter 1.
- Sample Problems 1
- Solutions to Midterm 1

- Takes place during the lecture on Thursday,
~~March 31~~**April 7** - Closed-book, no calculators, no formula sheet.
- 50 minute exam, 5 problems, lowest score dropped.
- This midterm covers Chapter 2.
- Solutions to HW7
- Solutions to HW8
- Sample Problems 2
- Study Guide
- Solutions to Midterm 2

- Tuesday May 10, 12:00pm – 2:00pm, in the same room as our lectures: Carver 298.
- Closed-book, no calculators, no formula sheet.
- 2 hour exam, 8 problems, lowest score dropped.
- The final is cumulative.
- Euler's Gamma function Lecture notes
- Practice Problems
- Solutions to Practice Problems
- Study Guide for Final Exam

Date | Topic |
---|---|

1/18 | Section 1.1 The Complex Numbers, Polar Representation |

1/20 | Section 1.2 Triangle Inequality, Roots of Complex Numbers |

1/25 | Section 1.3 Subsets of the Plane |

1/27 | Section 1.4 Limits and Continuity |

2/1 | Section 1.4 Infinite Series |

2/3 | Section 1.5 The Exponential, Logarithm, and Trigonometric Functions |

2/8 | Section 1.6 Curves and Line Integrals |

2/10 | Section 1.6 Green's Theorem |

2/15 | Catch-up and Review |

2/17 | Midterm 1: Chapter 1 |

2/22 | Section 2.1 Analytic Functions, Cauchy-Riemann Equations |

2/25 | Section 2.2 Power Series |

3/1 | Section 2.2 (cont.) |

3/3 | Section 2.3 Cauchy's Theorem and Cauchy's Formula |

3/8 | Section 2.3 (cont.) |

3/10 | Section 2.4 Consequences of Cauchy's Formula |

Spring | Break |

3/22 | Section 2.5 Isolated Singularities |

3/24 | Section 2.5 (cont.) |

3/29 | Section 2.6 The Residue Theorem |

3/31 | Section 2.6 (cont.) |

4/5 | Catch-up and Review |

4/7 | Midterm 2: Chapter 2 |

4/12 | Section 3.1 The Zeros of an Analytic Function |

4/14 | Section 3.3 Linear Fractional Transformations |

4/19 | Section 3.5 The Riemann Mapping Theorem |

4/21 | Section 4.2 (Electrostatics) |

4/26 | Section 4.2 (Flow of an Ideal Fluid) |

4/28 | The Gamma Function |

5/3 | Review/Extra |

5/5 | Problem Discussions |

5/10 | Final Exam |

Class policies of the Department of Mathematics at ISU.

Iowa State University supports and upholds the First Amendment protection of freedom of speech and the principle of academic freedom in order to foster a learning environment where open inquiry and the vigorous debate of a diversity of ideas are encouraged. Students will not be penalized for the content or viewpoints of their speech as long as student expression in a class context is germane to the subject matter of the class and conveyed in an appropriate manner.

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