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 student performance on the corresponding in-class exam and homework.
To become aware of basic ideas of complex analysis. The extent to which this goal is achieved will be determined by student performance on the corresponding homework.
To develop a computational ability within the context of calculus of residues. The extent to which this goal is achieved will be determined by student performance on the corresponding in-class exam and homework.
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 exam.
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: 25%
Goal 2: 15%
Goal 3: 25%
Goal 4: 25%
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.
EXAMS AND SUCH
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. In-class exams will take place on Monday, February 29th and Monday, April 18th; the time of the in-class portion of the final exam is Wednesday, May 4th, from 8:30am to 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. Each homework assignment will contribute to the course grade through the letter grade for the relevant educational goal.
LATE OR MISSED ASSIGNMENTS
I understand that you might find yourself in a situation where you cannot complete a homework assignment on time. You will nevertheless be expected to turn in what you have by the due date and immediately inform me about your situation. Assuming you are making a good faith effort to stay current in the class, you will be given an opportunity to make up an incomplete assignment.