2016 Fall Course Syllabus - Mathematics 8051.001
Course: Mathematics 8051.001.
Course Title: Functions of a Complex Variable I.
Time: MW 10.
Place: Wachman Hall 617.
Instructor: Shiferaw S. Berhanu.
Instructor Office: Wachman Hall 614.
Instructor Email: shiferaw.berhanu@temple.edu
Instructor Phone: (215) 2047848.
Course Web Page: CourseWebPage
Office Hours: MW 1-2.
Prerequisites: Calculus of several variables and an undergraduate course in complex analysis.
Textbook: Functions of One Complex Variable by John B. Conway.
Course Goals: The goal is to get a sound background in the basic results and methods of the theory of functions of one complex variable.
Topics Covered: Topics covered in the course include elementary properties and examples of holomorphic functions; differentiability and analyticity, the Cauchy-Riemann equations; power series; conformality; complex line integrals, the Cauchy Integral Formula and Cauchy's Theorem; applications of the Cauchy Integral Formula- power series expansion for a holomorphic function, the Maximum Modulus principle, the Cauchy estimates, Liouville's Theorem; Singularities of holomorphic functions, Laurent expansions, the calculus of residues and applications to the calculation of definite integrals and sums; zeros of a holomorphic function, the Argument Principle, Rouche's Theorem, Hurwitz's Theorem; conformal mappings and harmonic functions.
Course Grading: The grade will be based on homework, tests and a final exam.
Exam Dates: Wednesday, December 19.
Attendance Policy: Students are strongly urged to attend all classes.
Any student who has a need for accommodation based on the impact of a disability should contact me privately to discuss the specific situation as soon as possible. Contact Disability Resources and Services at (215) 204-1280, 100 Ritter Annex, to coordinate reasonable accommodations for students with documented disabilities.
Freedom to teach and freedom to learn are inseparable facets of academic freedom. The University has adopted a policy on Student and Faculty Academic Rights and Responsibilities (Policy # 03.70.02) which can be accessed here.
Students will be charged for a course unless dropped by the Drop/Add deadline date. Check the University calendar for exact dates.
During the first two weeks of the fall or spring semester, students may withdraw from a course with no record of the class appearing on the transcript. In weeks three through nine of the fall or spring semester, or during weeks three and four of summer sessions, the student may withdraw with the advisor's permission. The course will be recorded on the transcript with the instructor's notation of "W," indicating that the student withdrew. After week nine of the fall or spring semester, or week four of summer sessions, students may not withdraw from courses. No student may withdraw from more than five courses during the duration of his/her studies to earn a bachelor's degree. A student may not withdraw from the same course more than once. Students who miss the final exam and do not make alternative arrangements before the grades are turned in will be graded F.
The grade I (an "incomplete") is reserved for extreme circumstances. It is necessary to have completed almost all of the course with a passing average and to file an incomplete contract specifying what is left for you to do. To be eligible for an I grade you need a good reason and you should have missed not more than 25% of the first nine weeks of classes. If approved by the Mathematics Department chair and the CST Dean's office, the incomplete contract must include a default grade that will be used in case the I grade is not resolved within 12 months.