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Complex Variables – Homework for Spring 2018

The assignments are organized according to week they are due. Please report any issues back to Iva.

  • Assignment for Monday 1/22.
  • Assignment for Monday 1/29. You may want to read some of this before attempting the last several problems on the assignment.
  • Assignment for Monday, 2/5.
  • Assignment for Monday, 2/12.
  • Assignment for Monday, 2/19.
  • Assignment for Monday, 3/12.
  • Assignment for Monday, 3/19.
  • Assignment due right after the Spring Break.
  • Assignment due Monday, April 9th.
  • Assignment due Monday, April 16th and the exam study guide.
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    Complex Variables – Spring 2018


  • Goal 1:
    To develop basic literacy involving (functions of) complex variables. This includes:

      – Reaching a degree of fluency with complex number arithmetic and geometry;
      – Developing a solid understanding of elementary functions of complex variable.

    The extent to which this goal is achieved will be determined by the performance on the corresponding midterm exam.

  • Goal 2:
    To become aware of basic ideas of complex analysis. The extent to which this goal is achieved will be determined by the performance on the relevant portion of the second midterm exam.
  • Goal 3:
    To develop a computational ability within the context of calculus of residues. The extent to which this goal is achieved will be determined by the performance of the corresponding midterm exam.
  • Goal 4:
    To gain independence in reading and understanding mathematical material which uses complex variables. The corresponding assessment will be based solely on the take-home final project.
  • Goal 5:
    To situate the practice of complex analysis within its larger mathematical and social context, primarily by understanding the kind of role complex analysis plays in certain currently open problem(s). The corresponding assessment will be based solely on the matching homework assignment.

    For each rubric under Educational Goals (see above) you will receive a letter grade determined by your performance on the corresponding portion(s) of exams, homework assignments etc. In addition, a certain portion of your grade will correspond to the effort you put into participating and staying current in the class; students with a substantial number of class absences and/or late assignments can expect a slightly lowered course grade. The final course grade will be a weighted average of the above:

      Goal 1: 30%
      Goal 2: 5%
      Goal 3: 30%
      Goal 4: 30%
      Goal 5: 5%

    For the description of letter grades and their numerical equivalents please refer to our College Catalog. Please note that a professor has a right to withdraw a student for the reasons of non-attendence.


    There will be two in-class exams, and a partly take-home final exam, each of which will contribute to the course grade through the letter grade for the relevant educational goal. Exams will take place on Monday, February 27th and Monday, April 16th. The role of the final exam will be played by the final project which will be due on Wednesday, May 2nd by 11:30am.


    We will use the 6th edition of Complex analysis for mathematics and engineering by John H. Mathews and Russell W. Howell. Do note that some of the course content will not be directly based on the textbook material. At times, you will be expected to rely on the lecture notes I provide or your own lecture notes.


    Most lectures will be followed by a homework assignment, which will be posted online. Homework will be due once a week; most often at class time on Tuesdays. The class meeting prior to the day the homework is due (Monday, in most cases) will be dedicated to answering homework questions or doing extra examples. You are expected to have a draft of your homework completed and with you at that time, and ask homework questions either in class or during subsequent office hours. In particular, I reserve the right to refuse to answer homework questions on the day the homework is due. Note: I have no intention to police due dates or assign numerical values to corrected assignments. Students who are clearly behind (be that mathematically or schedule-wise) will be called in, or in extreme cases: asked to drop the class. Admittance to midterm exams is subject to demonstrated effort to do the homework at the suggested pace. Do me and yourself a favor — take this ……. seriously.