Complex Variables




Office Location

Office Phone

Office Hours

Dr. Gene Sprechini


(570) 321-4288

8:30-9:30am MWF

Course Content

Complex numbers, analytical functions, complex integration, Cauchys theorems and their applications. Corequisite: MATH 238.

Chapters 1 through 6 and selected portions of remaining chapters from Complex Variables and Applications, 2004, by Brown and Churchill will be covered in the course.


The final grade depends on each of the following:

Attendance. The final course grade percentage will be reduced by 4% for each unexcused absence beyond the 3rd unexcused absence. An absence is considered to be excused only when (1) the student emails to the instructor an explanation (or submits a written explanation) of why class was missed, no later than two days after the absence, and (2) the instructor approves the explanation. When absent from class for any reason, it is the student's responsibility to find out all that was missed and stay current with the coursework by consulting with a tutor or classmate; students can find out what was done in any class from the course schedule, which is available by clicking on the appropriate link below.

Semester Exams. There will be four semester exams. Each of the semester exams is worth 200 points, but only 150 of these 200 points are from the exam administered in class; the remaining 50 points are from assignments and quizzes leading up to the exam. The total number of points from assignments and quizzes leading up to an exam will generally be greater than 50 points, which makes it possible to miss a few assignments and/or quizzes and still earn the entire 50 points; for this reason, no assignments are accepted late, and no quizzes can be taken late. It is the responsibility of students who do not submit an assignment in time to get credit, or who do poorly on a particular assignment, to make certain that they master the course material covered on the assignment. For all missed in-class exams, a grade of zero is recorded, unless (1) arrangements to make up the exam are made within 24 hours of the originally scheduled time and (2) the instructor is presented with documented evidence of a medical reason for not completing the exam at the scheduled time.

Final Exam. The final exam is worth 400 points, but only 350 of these 400 points are from the exam administered during Final Exam Week; just as with each of the four semester exams, the remaining 50 points are from assignments and quizzes leading up to the final exam, just as with the semester exams.

The final course grade percentage is the percentage of points earned from the total possible points, and letter grades corresponding to the final course grade percentage are assigned according to the following:

A = above 93.33%

A = 90% to 93.33%

B+ = 86.67% to 90%

B = 83.33% to 86.67%

B = 80% to 83.33%

C+ = 76.67% to 80%

C = 73.33% to 76.67%

C = 70% to 73.33%

D+ = 66.67% to 70%

D = 63.33% to 66.67%

D = 60% to 63.33%

F = below 60%


Each student must have:

  • a textbook (Complex Variables and Applications, 2004, by Brown and Churchill)
  • a calculator (preferably a TI-83 calculator, but almost any calculator will be satisfactory)
  • a three-ring binder containing a copy of this syllabus, the course schedule, and all course materials (class notes, assignments, etc.)


The tutor schedule for this course is posted on the Department of Mathematical Sciences Tutoring Page here.

If you choose to request academic accommodations due to a specific learning need, please consult with Mr. Dan Hartsock, Coordinator of Services for Students with Disabilities. His office is in the ARC on the third floor of the Snowden Library.

Course Links

The course schedule is available by clicking here.

Standards and Policies

All work submitted must be of professional quality. All paper must be neat, without ragged edges, rips, tears, smudges, stains, etc. All answers must be clear, complete, and concise; handwriting must be legible. If the instructor can't read it, it's wrong. Assignments may be down-graded if these standards are not met.

It can be very helpful for some students to work together on daily assignments and to study together; this is encouraged when it does not result in one student simply copying another's work with no understanding. Acts of academic dishonesty will result in a grade of F for the course, and a letter to the Dean describing the circumstances. If you are having problems in the course, talk to the instructor; don't involve yourself in academic dishonesty. With each assignment submitted, students are expected to include a short paragraph indicated from whom help was received and to whom help was given (but this does not affect the grade for the assignment).

The following is from the FACULTY HANDBOOK in the section titled Student Course Load:

"It is expected that students will spend, in preparation for courses, two hours of study time outside the classroom for every hour of credit in the classroom."

This means that you should be prepared to spend, on average, eight hours per week outside of class working on a four-credit course; however, this will vary from student to student and from course to course. Your time will be spent reading the text, reviewing class notes, and completing assignments.