MATH 4110 - ELEMENTARY COMPLEX VARIABLESFALL 2015

Instructor: Dr. Chal Benson,

• Office: 215 Austin Bldg.• Phone: (252) 328-6574,• Email: bensonf@ecu.edu,• Web: http://core.ecu.edu/math/bensonf/

Course web page: Available through the campus BlackBoard system athttps://blackboard.ecu.edu/

Meeting times: Tuesday and Thursday 9:30-10:45 a.m. in Austin 321.

Office hours: Mon/Weds 1:00-2:00 + 3:30-4:00, Tues/Thurs 11:00-12:00 (or by ap-pointment).

Prerequisites: You must have completed Math 2173 (Calculus III) with a grade of atleast C-.

Important dates:

• Tues Oct 13 - Fall break, no class.• Fri Oct 23 - Last day to drop courses without grades (undergraduate students).• Thurs Nov 26 - Thanksgiving break, no class• Thurs Dec 3 - Last class.• Weds Dec 9, 8:00-10:30 p.m. - Final exam. (Note starting time!)

Grades:

• class participation - 5%• homework - 25% (Late homework will not be accepted.)• 2 tests - 40%• final exam - 30%

Overall course grades g are assigned letter grades according to the following scale.Plus/minus grades may be applied at the upper/lower ends of these ranges.

85% ≤ g A75% ≤ g < 84% B65% ≤ g < 74% C50% ≤ g < 64% D

g < 50% F

Course outline: Although we will not follow the course text rigidly, you will find allof the material to be covered in the first 7 chapters.

Text

[1] Ruel V. Churchill and James Ward Brown. Complex variables and applications. McGraw-HillBook Co., New York, ninth edition, 2014.

Additional references

[1] Lars V. Ahlfors. Complex analysis. McGraw-Hill Book Co., New York, third edition, 1978. Anintroduction to the theory of analytic functions of one complex variable, International Series inPure and Applied Mathematics.

[2] John B. Conway. Functions of one complex variable, volume 11 of Graduate Texts in Mathemat-ics. Springer-Verlag, New York, second edition, 1978.

[3] Edward B. Saff and Arthur David Snider. Fundamentals of Complex Analysis with Applicationsto Engineering, Science, and Mathematics. Prentice Hall, New York, third edition, 2003.

Guidelines for homework assignments: Homework assignments are central to thiscourse. You should expect to devote a substantial amount of out-of-class time eachweek to this activity. Your participation in the solution of homework problems willbe essential for your mastery of our subject. Here are some points to keep in mindregarding homework:

• You are encouraged to discuss homework problems with other class members.• You must, however, write up all solutions on your own and in your own

words. Copying of work without attribution is a form of plagiarism. Do notcopy another student’s work or allow other students to copy your work.

• Endeavor to write clearly and use complete sentences. Do not submit firstdrafts or rough work. Please leave space between lines and problems for yourinstructor’s comments.

• It is important to begin work on each homework assignment well before itsdue date. It may require several days of thought to solve a problem and youmay need to seek input from other students or your instructor. You will thenneed time to absorb this input and polish the exposition of your solution.

• You will receive solutions to the homework assignments and written commentson your work. You should read these carefully as they will help you improveyour mathematical writing and reasoning.

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Compliance with ADA: East Carolina University seeks to comply fully with theAmericans with Disabilities Act (ADA). Students requesting accommodations basedon a disability must be registered with the Department for Disability Support Serviceslocated in Slay 138 ((252) 737-1016 (Voice/TTY)).

Academic integrity: Academic integrity is a fundamental value of higher educationand East Carolina University; therefore, I will not tolerate acts of cheating, plagia-rism, falsification or attempts to cheat, plagiarize or falsify. Should I determine thatan academic integrity violation has taken place, I reserve the right either to assign agrade penalty or to refer the case to the Office of Student Rights and Responsibilitiesfor an Academic Integrity Board hearing. I will assign a grade penalty up to an Ffor the test or course. Should it come to my attention that you have had a prioracademic integrity violation, or if there are other aggravating circumstances, I willrefer the case directly to the Office of Student Rights and Responsibilities. Shouldthe Academic Integrity Board determine that you committed an academic integrityviolation, you may be assigned a grade penalty and/or any other sanction allowed inthe student Code of Conduct, up to and including suspension from the University.The Student Handbook is online.

Attendance: Students are expected to attend punctually all lectures. Absences arecounted from the first class meeting after the student registers. Students registeringlate are expected to make up all missed assignments in a manner determined by theinstructor. Students should consult with their instructors about all class absences.It is the responsibility of the student to notify the instructor immediately aboutclass absences, to provide appropriate documentation for an absence, and discussany missed class time, or tests. Except in the case of university-excused absences, itis the decision of the instructor to excuse an absence or to allow for any additionaltime to make up missed tests or assignments. Excused absences should not lowera students course grade, provided that the student, in a manner determined by theinstructor, is able to make up the work that has been missed and is maintainingsatisfactory progress in the course.

Student Health Services does not issue official written excuses for illness or injury,but will, upon request at the time of the visit, provide a note confirming that thestudent has received medical care. In the event that the student is seriously ill orinjured at the time of final examinations the Student Health Service or the Center forCounseling and Student Development, on request of the student, may recommend amedical incomplete. Instructors should normally honor written medical excuses froma licensed medical or psychological practitioner that states the student was too ill orinjured to attend class and provides the specific date(s) for which the student wasunable to attend class due to the medical or psychological problem.

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Missed tests: If a student misses a test and presents a satisfactory excuse, the weightof the test will be shifted to the final. If no satisfactory excuse is presented thestudent will receive a grade of F for the test.

Classroom behavior: It is important that we have a classroom atmosphere that op-timizes teaching and learning and we all share the responsibility for creating a civiland non-disruptive forum. Students are expected to conduct themselves at all timesin a manner that does not disrupt teaching or learning. Behavior which disrupts thelearning process may lead to disciplinary action and/or removal from class as speci-fied in university policies, including the Student Code of Conduct, which is availableonline.

Final examination: The University establishes a final examination schedule each se-mester to reduce conflicts in course final examination and to meet the UNC estab-lished course hour requirements. There will be no departure from the printed scheduleof examinations. Changes for individual student emergencies of a serious nature willbe made only with the approval of the instructor. A student who is absent froman examination without excuse will be given a grade of F for the examination. Anincomplete (I) for the course will only be given in the case of a student absent fromthe final examination who has presented a satisfactory excuse to the instructor. Notest intended to substitute for the final exam may be given during the week precedingthe final examination period. Faculty may not give an examination or an assignmentin lieu of an examination on Reading Day.

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